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BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS

Géza Pattantyús-Ábrahám Doctoral School of Mechanical Engineering Sciences

Training Plan

Valid from 1 September 2016

Last updated: 26.09.2016

Content:

I. THE ELEMENTS OF PhD EDUCATION 2

II. SAMPLE CURRICULUM 3

III. REPORTS AND WORK PLA NS 5

IV. ADMINISTRATION T ASKS OF TEACHERS AND STUDENTS 9

V. SUBJECTS 11

VI. ANNOTATIONS 13

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I. THE ELEMENTS OF PhD EDUCATION

The PhD program is running according to individual curriculum. This curriculum is formulated in a

negotiating process between the PhD student and the institutional roleplayers, the thesis supervisor, the

department head, and the president of the partial program. This has to be approved by the Educational

Committee of Doctoral Studies (DTB) and the Council of Doctoral School (DIT). The educational and

research plans elaborated for each semester of the studies makes an integral part of the Work Plan.

The most significant part of the individual research work done in the advertised topic of the Doctoral School

makes the core part of the program. Each PhD student has one and only one supervisor at a time who is fully

responsible for directing the studies, the research and the degree preparation of the PhD candidate working

on the designated topic. It is possible, however, to approve dual supervision in studies based on international

cooperation, alternatively, in interdisciplinary topics accepted by the DIT, and with advertised topic

description with the preliminary approval of the University Habilitation Committee and Doctoral Council

(EHBDT).

In other cases (e.g. external topic supervision contracted with the Doctoral School) the DIT would nominate an

internal supervisor to follow and assist with the professional progress of the candidate on behalf of the

university.

During doctoral training at the Faculty of Mechanical Engineering the students concerned cna mainly choose

from among the course offer of the Faculty. The pool of the course offers can be widened with that of other

faculties, occasionally of different universities of technical science after the preliminary approval of the vice-

dean in charge of scientific affairs.

Directional education makes part of the training and and is mandatory to take. In the frames of it lecturing

abilities ands skills as long as communication skills get developed under the guidance of a designated

teacher. The subject, and credits associated with the course concerned, is identified by the head of the

supervisor’s department in accordance with the supervisor; the accomplishment is acknowledged by the

department head following the recommendation of the desinated teacher.

In the doctoral training 240 credits have to be obtained as follows.

a.) 30-50 credits – acquiring mandatory studies,

b.) 190-210 credits – scientific research work or creative artistic activity, directed educational activity.

According to the curriculum of the Faculty of Mecahnical Engineering PhD credits are shared as follows. 30 credits: acquisition of study materials 140 credits: scientific activities max. 46 credits: publications max. 30 credits: lecturing, assisting the teaching process

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II. SAMPLE CURRICULUM

Study-research phase Research-dissertation phase

1. sem. 2. sem. 3. sem. 4. sem. 5. sem. 6.sem. 7.sem. 8. sem. Sum

1 Research

Methodology 2v, 3cp 3 cp

2 Subjects of complex

exam (CE) CE subject I.

CE subject II.

CE subject III.

2v, 3cp

2v, 3cp

2v, 3cp

2v, 3cp

2v, 3cp

2v, 3cp

6 cp

6 cp

6 cp 3 Compulsory elective

subjects

Elective subject I.

Elective subject II.

Elective subject III.

2v, 3cp

2v, 3cp

2v, 3cp

3 cp

3 cp

3 cp 4 Individual research 15cp 15cp 15cp 15cp 24cp 16cp 24 cp 16cp 140cp

5 Publication activity Publication I. Publication II. Publication III.

Publication IV.

10cp

12cp

12cp

12cp

46cp

6 Teaching activity 4cp 4cp 4cp 4cp 4cp 4cp 4cp 2cp 30cp

7 Sum 31cp 31cp 35cp 31cp 28cp 32cp 28cp 30cp 246cp

The principles of a PhD student’s curriculum are as follows.

a) Requirements of taking courses are concentrated in the first passage of the training program, thus,

providing the possibility of the most possible time to do research work from the 3rd year of studies.

b) Subjects with global exam requirements are two-semester long. From among these will be identified

those two the candidate has to sit a complex exam for at the end of the 4th semester.

c) On condition that the candidate has not accomplished them yet, any of the offered compulsory elective

may be chosen in the 2nd and 3rd semesters

d) The requirements of Individual research are quite decent in the 1st and 2nd semesters, however,

reserach on literature and its evaluation is mandatory, while the rest two semesters, 3rd, 4th are

already research-focussed.

e) The aim of Teaching activity is to acquire, with the assistance of a well-experienced lecturer, the

methods of how to develop teaching materials, to convey knowledge orally, to get to know up-to-date

teaching techniques, and to prepare measurement practice. Only character building activities directly

associated with teaching belong to this passage. The evaluation of the accomplishment, after

consulting with colleagues working together with the PhD candidate, is made by the department head

concerned.

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f) According to the curriculum of the training and to the Code of Studies and Examinations of BME

(TVSZ)

- earning min. 20 credits per semester is mandatory,

- earning max. 45 credits per semester cannot be exceeded,

- research credits canot be summarized,

- credits to be earned in education cannot be substituted by research credits,

- by the end of the 2nd semester, according to the TVSZ, 50 credit points have to be accomplished,

- by the end of the 4th semester min. 120 credit point are to be earned,

- Publication I-II. subjects are to be accomplished by the end of the 4th semester.

g) The credit points of publication activities by no means can be separated, and can only be acknowldged

if the folowing criteria are met.

- Publication I earns credit for the candidate only if they either have produced a professional article or

a conference article in English by the end of the 3rd semester.

- Publication II earns credit for the candidate only if they have met the timely publication requirements

by the end of the 2nd year, when complex assesssment is scheduled, necessary to start the degree

seeking process; namely they have already written 2 already published or accepted articles for

publication, written in English.

- Publication III earns credit for the candidate only if the publication requirements necessary to start

the degree seeking process are at least met, and the candidate has accomplished the publication level

required.

- Publication IV earns credit for the candidate when his totally earned credit number reaches up to 34,

and has already met the minimum requirements of degree seeking.

h) The accomplishment of Individual research and Publication I-IV is certified by the supervisor of the

project. When there is external supervision there, a written assessment from the supervisor serves as

basis to the internal supervisor to accept and certify the accomplishment.

i) Absolutorium certifying the successful accomplishment of the PhD training can be issued when

Publication III has been completed and the totally collected number of credits reach at least 240.

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I I I . REPORTS AND WORK PLANS

Reports

The interim reporting of PhD students goes according to local routine. The supervisor presents information

on it in due course. There is also a mandatory oral report on research at the end of the 4th semester, in the

frames of the complex exam. This particular exam has to be taken in front of a committee open to the public.

The committee has at least 3 members; and min. one-third of them can not be legally employed by the

institution running the doctoral school. The presidency of the committee can onlybe committed either to a

full professor, a Professor Emeritus or a researcher/lecturer with the doctor of the Hungarian Academy of

Sciences title. Each member of the committee helds a scientific degree. The supervisor of the examining

students, by no means, can be the member of the committee.

The complex exam has two major parts: in one the theoretical preparedness (theory part) is being measured,

while in the other the examinee gives and account on their scientific/artistic advancement (dissertation part).

In the theoretical part of the complex exam the examinee takes exam at least in two subjects/categories; the

list of these can be found int he educational plan of the doctoral school. The theoretical exam may also have a

written portion. In the second part of the complex exam, in the form of a presentation the examinee gives an

account on their acquired knowledge of relevant technical literature, research results. Further, the examinee is

to present the research plan prepared for the second part of the doctoral studies, respectively, the detailed

schedule of preparing the dissertation and the dissemination of results in publications. The supervisor should

be given the opportunity to, preliminary in writing, or maximum at the exam, prepare an assessment on the

examinee.

The examination committee evaluates the theoretical and the dissertation parts of the exam separately.

Minutes are taken with written evaluation in about the complex exam. The very same day of the oral exam

the result of the exam has to be announced. The complex exam can be qualified successful if the majority of

the committee members judge both parts of the exam a success. Failure in theory can get an extra repeat

exam int he very same exam period on the incomplete subject/s. If the dissertation part proves to be a failure,

this cannot be repetaed in the same exam period.

Written reports are to be prepared by semester on the accomplishment of subjects, the advancement of

research work, likewise about the publication activities of the given time frames.

Those PhD students whose reports clearly reveal deficiency and default will be given a notice by DTB, and

obligate to submit a more detailed report of 2 or 3 pages. In the report the following has to be recorded

- original goal and expectable new scientific results,

- scientific work done so far,

- the estimation whether, if at all and when, the original goal, including publication requirements

can be reached by the candidate.

- The report will be evaluated by the professionally competent member of the Doctoral Study

Committee (DTB). Further, the Council of the Doctoral School (DIT), considering also the

oppinion of DTB, decide on possible modifying or rescheduling of the program.

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Work Plans

According to the Academic Rules and Regulations of BME a Work Plan has to be elaborated by PhD

students. However, in the cited document there is no set requirements as regards contents or formal elements.

DIT finds it necessary to set the principles and requirements of Work Plans.

Tasks can be divided into 4 major parts (see chart above):

- education (and associated exams in items 1, 2 and 3),

- independent scientific research work (item 4),

- publicizing research results (item 5),

- teaching activities (item 6).

Two Work Plans are expected by the Dean’s Office from the PhD students.

- right after their having been accepted for a PhD program, at the beginning of their related doctoral

activities, a full Work Plan for the full, 4-year duration of their studies has to submitted,

- another semester Work Plan is also a must at the beginning of each semester started. (This also refers

to students recently registered.)

The major aspects of preparing Reports and Measurements are as follows:

Work Plan for 4 years

Work Plan is to elaborate and schedule activities to be done during studies; also, to present aims and

recommendations associated with the below described three elements.

a) Education plan.

The Academic Rules and Regulations should provide a solid basis for the Education Plan, with special

regards on the appropriate share of basic, comprehensive exam and elective courses. The opinion of the

supervisor, as a default, has to be clarified when working on this document.

b) Scientific activities.

Beside providing an overall description of the research plan, in this document it has to be made clear what

pace will be followed in elaborating the chosen research topic, and also, the expectable scientific results

should be identified.

c) Teaching activities.

This is importnat to know that the educational activities of a candidate, by no means, can only be

calculated by the number of the independently given lectures, but also the preperatory hours spent on the

subject matter, further, consultation, preparation, and cooperation associated with other classes of the

department concerned.

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The following chart is meant to be an aid to elaborate te presentation of scientific activities.

Semester Topic Aim Results

1.

Research on literature

(technical books, periodicals,

internet, etc.). Researching on

existing methods, processes

and results.

Getting acquainted with local

and international research

results. Establishing contact

with experts of the filed s

concerned.

Collection of articles and

resources. Contact list and

corresponbdance, personal

meetings.

2.

Ongoing research on

literature. Identifying and

examining experimental

research methods.

Collecting information

resources further, widening

literary data. Elaborating and

accomplishing experimental

research methods.

Completing articles and

resources. Preparing

measurements.

3.

Developing new research

process. Theoretical

examination of the most

recent process.

Scientificly establishing the

new method.

Accomplishing the method of

technological examination

method. Preparing

publication in Hungarian.

4.

Participation in the practical

realization of the new

process.

Examination applying the new

process.

Distributing the achieved

partial results in scientific

forums.

5.

Elaborating modelling

programs. Analyzing

connections mathematicaly

and statistically.

Evaluating and setting out the

results of the analysis.

6. Simulation analysis of model

behaviour.

Determining the optimal

model to apply.

Summarizing the achieved

results in an English

publication.

7. Measurements, simulations.

Elaborating and evaluating the

simulation results of the

experiments carried out.

Artice in an international

periodical with WoS.

Participating in a scientific

conference.

8.

Carrying out supplementary

and adjusting accuracy

measurement. Working on

PhD dissertation.

Making summary on final

results. Summing up research

results according to quality and

formal requirements.

Distributing results in

scientific forums, articles in

local and international

periodicals. Dissertation.

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Mid-Term Report

The ease the administrative obligations:

a) On condition that the educational and elective tasks detailed in the Work Plan for 4 years, referring to this

fact is satisfactory. Publication activities though are much accentuated that have to be detailed by

authors’s names, location of issuance, number of volume, page numbers, etc.

b) As regards research work, more detailed report on the previous semester has to be prepared, since the

original Work Plan for the 4 years focussed exclusively on planned activities and not on their results.

Once the scheduled educational and elective tasks of the previous semester work plan have been

accomplished, pointing these out would suffice the requirement.

Semester Work Plan

a) As regards the semester work plan to be submitted for the following academic period, if there is no

modification of these compared to the overall Work Plan for 4 years, only this fact has to be laid down.

b) It is mandatory though to submit a detailed work plan for research activities. When these goals have been

met, it is simpler to prepare also a report concerning the following semester.

The Report and the Work Plan have to be submitted electronically and in one printed copy. The latter

document has to be signed by the student, the supervisor, the Department Head, and the President of the Sub-

Program.

Tasks associated with the aforementioned have to be set int he Work Plans together with plans for obtaining

missing or inadequate language proficiency. Forms of Work Plans can be downloaded from the home pageof

the Doctoral School.

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IV. ADMINISTRATION T ASKS OF TEACHERS AND STUDENTS

Teachers

During the PhD-training – not taking into account the administration and summary work of Dean’s Office

the cooperation of three persons is needed for a successful end of the studies.

These persons are the following:

- Supervisor,

- Head of Department,

- Subprogram Chairman.

Their tasks are as follows:

Subprogram Chairman

a) He/she participates in the admission exam of the corresponding subprogram.

b) He/she assigns and undersigns the 4 year and Semester Work Plans.

c) He/she checks the performance of the PhD-student upon the Reports.

Head of Department

a) He/she organizes the announcement of PhD-topics for the next 4 year period and submits the

corresponding documentation to the Dean’s Office until deadline.

b) He/she organizes (committee, place) the admission exams of the applicants candidating to his/her

Department and participates on it.

c) He/she send the examination report to the Dean’s Office.

d) He/she assigns and undersigns the 4 year and Semester Workplans.

e) He/she checks the performance of the PhD-student upon the Reports.

f) He/she provides the infrastructure for the research work given in the Work Plan.

g) He/she organizes and checks the teaching activity of the PhD-student(s).

Supervisor

He/she is responsible from the beginning for the activities, especially for the research activity of the PhD-

student. It means the following:

a) He/she prepares the documentation of the announcement of the research topic.

b) Prior of the admission exam he/she provides consultation for the candidate(s).

c) He/she participates in the admission exam of his/her candidate(s).

d) He/she helps to compile the 4-year and Semester Work Plan and confirms them by his/her signature.

e) He/she directs and checks the studies, as well as teaching and research activities of the PhD-student.

f) In Mid-term Reports he/she evaluates the performance of the PhD-student.

PhD-students

a) A the beginning of the training he/she makes a rough 4-year Work Plan, and in all semesters a detailed

Semester Work Plan, taking into account the consideration of the supervisor.

b) Making of Mid-Term Reports in each semester – Global Exam at the end of the 4th

semester.

c) On the request of the DTB he/she makes an extra detailed written report about the activities as written in

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Chapter III.

d) In case of change of subject he/she admits the corresponding request supported by the Supervisor and the

Head of Department in printed form to the Dean’s Office.

e) In case of change of topic or/and supervisor he/she admits the corresponding request supported by the

Supervisor and the Head of Department addressed to the Dean in printed form to the Dean’s Office. Prior

the decision the Dean consults with the DIT.

f) All other changes, e.g. passive semester, research journey abroad, etc. can be allowed before the

beginning of the semester by the Dean. Missing of request or such a change without permission can

imply the withdrawal of the scholarship.

g) Student documents (requests, work plans, reports, etc.) should be submitted both in electronic and in

printed form.

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V. SUBJECTS

One semester (elective) subjects

ACOUSTICS

AIR-CONDITIONING

AIR-CONDITIONING SYSTEMS

APPLIED ARTIFICIAL INTELLIGENCE

APPLIED LASER TECHNOLOGY

ARTIFICIAL INTELLIGENCE IN

MANUFACTURING

BIOMATERIALS

CERAMICS AND COMPOSITES

COLORIMETRY

COMPUTATIONAL FLUID DYNAMICS

CONTROL AND SUPERVISING OF

MANUFACTURING SYSTEMS

COOLING MACHINES AND HEAT PUMPS

DEFORMATION AND FRACTURE OF

METALLIC MATERIALS

DESIGN OF METAL-CUTTING MACHINE

TOOLS AND MACHINE SYSTEMS

DESIGN OF POLYMER PRODUCTS

DRIVE TECHNOLOGY

DYNAMICS AND SIMULATION OF

MULTIBODY SYSTEMS

ELECTRICAL- AND MAGNETIC MATERIALS

ELECTRON MICROSCOPY

ELEMENTS OF PRECISION INSTRUMENTS

ENGINEERING DESIGN

ENGINEERING DIAGNOSTICS

ENVIRONMENTAL TECHNOLOGY

FLUID MACHINERY AND HYDRODYNAMIC

SYSTEMS

FLUID MECHANICS

FLUID MECHANICS MEASUREMENTS

FLUIDIZED BED CONVERSION

GAS AND STEAM TURBINES

GAS DYNAMICS

GREEN TECHNOLOGIES

HEAT TREATMENT

HEATING

INTERNAL COMBUSTION ENGINES

INDUSTRIAL AIR TECHNOLOGY

LARGE EDDY SIMULATION

MATERIALS AND PROCESS

TECHNOLOGY

MATERIALS SCIENCE

MATERIALS TESTING

MECHANICS OF COMPOSITES

MECHATRONICS

METROLOGY (GTT)

METROLOGY (MOGI)

MODELLING OF FOOD INDUSTRIAL

PROCESSES

NANOCOMPOSITES

NEURAL NETWORKS AND THEIR

APPLICATIONS

NONEQUILIBRIUM THERMOMECHANICS

OF SOLID CONTINUA

NONSMOOTH DYNAMICAL SYSTEMS

OPTICAL INSTRUMENTS AND

MEASURING TECHNOLOGY

OPTICS

PLASTIC DEFORMATION

POLYMER COMPOSITES

POLYMER PROCESSING TECHNOLOGIES

POLYMER STRUCTURES

POST-PROCESSING OF FLOW FIELDS

PROCESS SIMULATION

PROCESS SUPERVISION AND

DIAGNOSTICS

PRODUCT DEVELOPMENT

RESEARCH METHODOLOGY

SENSORS AND ACTUATORS

STRUCTURAL MATERIALS

THEORY OF MACHINING

THERMODYNAMIC WORKING FLUIDS

TRIBOLOGY

TURBULENCE AND ITS MODELLING

WELDING

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Subjects of the Complex Exam

1Numerical Methods in Machine Design + Numerical Methods in Mechanics

ACOUSTICS

BUILDING SERVICE SYSTEMS

COMBUSTION TECHNOLOGY

COMFORT THEORY

ENERGY MANAGEMENT

ENGINEERING DESIGN

ENGINEERING DIAGNOSTICS

ENVIRONMENTAL TECHNOLOGY

FLUID MACHINERY AND HYDRODYNAMIC

SYSTEMS

FLUID MECHANICS

HEAT ENGINES

HEAT TREATMENT

MANUFACTURING ACCESSORY DEVICES

MANUFACTURING PROCESS PLANNING

MANUFACTURING SYSTEMS

MATERIALS AND PROCESS TECHNOLOGY

MATERIALS SCIENCE

MATERIALS TESTING

MECHANICS

MECHATRONICS

METROLOGY (MOGI)

NUMERICAL METHODS1

OPTICS

PLASTIC DEFORMATION

POLYMER COMPOSITES

POLYMER PROCESSING TECHNOLOGIES

POLYMER STRUCTURES

PROCESS EQUIPMENT DESIGN

PROCESS INSTRUMENTATION AND

CONTROL

PROCESSES AND EQUIPMENT

PRODUCT DEVELOPMENT

PRODUCTION SYSTEMS

ROBOTICS

STRUCTURAL MATERIALS

THERMAL POWER PLANTS

THERMODYNAMICS / HEAT TRANSFER

TRANSPORT PHENOMENA

VENTILATION SYSTEMS

WELDING

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ANNOTATIONS

RESEARCH METHODOLOGY BMEGEMIDKMD 3 kp

Responsible: Dr. Kiss, Rita

Lecturers: Dr. Kiss, Rita; Dr. Ábrahám, György; Dr. Ronkay, Ferenc

Introduction: Definition of science’s and research methodology, scientometrics, type of scientometrics.

Characteristics of scientists and researchers, guideline for preparation of CV. List of publications, the use of

MTMT system. Different topics in research and in science. Structure of a research. Literature research with

different bibliographic programs. History and development of science. Methodology in research and in

science. Thinking methods and models. Design of experiments, design and construction of experimental

(measuring) devices, modeling, simulation, evaluation and documentation. Ethical issues. Structure of

scientific works and articles. Editing of different proposal (Hungarian and European). Communication,

research etiquette. Requirements of PhD degree.Classification of publications.

Department of Materials Science and Technology

MATERIALS SCIENCE I. (PhD Final exam) BMEGEMT9001 3 cp

MATERIALS SCIENCE II. (PhD Final exam) BMEGEMT0001 3 cp

MATERIALS SCIENCE BMEGEMT8001 3 cp

Lecturers: Dr. Artinger, István; Dr. Dévényi, László; Dr. Szabó, Péter János

Connection between the mechanical-physical properties and the structure of the materials. Typical bondings,

structures. Ideal crystals. Crystal defects. Equilibrium and non-equilibrium states and transformations. Roles

of diffusion processes. Strengthening mechanismus in metallic alloys, ceramics and glasses. Solid solutions,

grain refinement, nanophase alloys, deformation hardening, aging, dispersion strengthening. Microalloying.

Materials of the nuclear technology. Irradiation damaging. Electrically conductive and resistive materials,

bimetals, alloys with controlled thermal expansion, superconductive materials, technology of

semiconductors. Magnetic materials, shape memory alloys.

MATERIALS AND PROCESS TECHNOLOGY I. (PhD Final) BMEGEMT9002 3 cp

MATERIALS AND PROCESS TECHNOLOGY II. (PhD Final) BMEGEMT0002 3 cp

MATERIALS AND PROCESS TECHNOLOGY BMEGEMT8002 3 cp

Lecturers: Dr. Artinger, István; Dr. Krállics, György; Dr. Bobor, Kristóf

Chip-free technologies for making the preforms. System of the main technological processes (metal forming,

welding, casting and powder metallurgy) as the function of the dimensional accuracy, the deformability of

the material, and the material and energy consumption and the number of produced pieces.

Change of the geometry and material properties in the various components by different mechanical, thermal,

electrical and magnetic fields. The technological procedures of surface property modification. The main

aspects of the process design. Application of computer aided systems for the design of technological

processes.

MATERIALS TESTING I. (PhD Final exam) BMEGEMT9101 3 cp

Lecturers: Dr. Czoboly, Ernő; Dr. Krállics, György; Dr. Orbulov, Imre Norbert

Basic testing methods and quantities. The effect of the static and the dynamic loading, and the effect of the

state factors. Characterization of ductile and brittle state of the materials. Description of the conditions of

forming ductile or brittle state. Basic principles and testing methods of fracture mechanics. Linear elastic and

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plastic attributes of fracture mechanics and their application in the engineering practice. Fatigue, micro- and

macrocracks. Low cycle fatigue and its testing methods. Effect of the environment. Technological samples.

MATERIALS TESTING II. (PhD Final exam) BMEGEMT0101 3 cp

Lecturers: Dr. István Mészáros; Dr. János Ginsztler

The place and role of nondestructive material testing in the production and in quality assurance systems.

Classification of NDT/NDE methods. Traditional NDT investigation techniques: visual testing, liquid

penetrate testing, ultrasonic testing, radiographic testing, magnetic testing, eddy current testing. Novel NDT

methods: special electromagnetic methods, special eddy current methods (remote field, low frequency

techniques). Acoustic emission testing. The reliability of NDT testing, statistical analysis. Optical and

electron microscopic microstructural investigations and their application possibilities. Automatization of

NDT testing.

MATERIALS TESTING BMEGEMT8101 3 cp

Lecturers: Dr. Ernő Czoboly; Dr. Mészáros, Norbert; Dr. Krállics, György

One semester summary of Materials Testing I-II.

BIOMATERIALS BMEGEMT8674 3 cp Lecturers: Dr. Mészáros, István; Dr. Bagi, István

The subject focused on the special materials (metals, alloys, and ceramics) used in biomedical applications.

Summarizes the requirements and discusses the structure, technology and important properties of biomedical

materials. The most important chapters are the followings: Summary of the physical, biological background

of life functions. The special materials used in medical instruments and devices. The deterioration processes

and expected lifetime of the materials implanted into the living body.

WELDING I. (PhD Final exam) BMEGEMT9102 3 cp

WELDING II. (PhD Final exam) BMEGEMT0102 3 cp

WELDING BMEGEMT8102 3 cp

Lecturers: Dr. Dobránszky, János; Dr. Májlinger, Kornél

Welding Technology.

Role of welding in the manufacturing process. Physical basics of welding, formation of the welded joint,

effects of welding process on the properties. Fusion and pressure welding processes used in industry: process

variables, principles, equipment, welding consumables and applications. Automatization of welding,

fundamentals of robotics, computer aided welding technology design. Quality management. Technological

tests. Role and significance of non-destructive evaluation in welding technology. Thermal cutting and

thermal spraying methods.

Weldability.

Correlations of the welding technology, the engineering structures and materials to weld. Welding heat

process. Metallurgical processes in the melt and at the surface of that. Physico-chemical effects influencing

the chemical composition and mechanical properties of weld metal. Cold cracking, hot cracking, lamellar

tearing, hydrogen embrittlement. Test methods for weldability. Weldability of carbon steels, high-alloyed

steels, ferrous, aluminum, copper, nickel, titanium alloys, heat-resistant materials and polymers.

HEAT TREATMENT I. (PhD Final exam) BMEGEMT9103 3 cp

HEAT TREATMENT II. (PhD Final exam) BMEGEMT0103 3 cp

HEAT TREATMENT (PhD) BMEGEMT8103 3 cp

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Lecturers: Dr. Ginsztler, János; Dr. Dévényi, László; Dr. Fábián, Enikő Réka

Basic relationship between the properties, the structure, the chemical composition and the heat treatment of

metallic alloys. The state and the role of heat treatments in the production of metallic parts, tools and

structures. Structure transformations of steels in equilibrium and in non-equilibrium. Time-temperature

transformation curves for isothermic and continuous cooling. Quenching, quenchability. Thermal stresses,

change of the shape and dimensions. New and traditional heat treatment technologies for steels. Heat

treatment technologies for steel casts, cast irons and aluminium alloys. Partial quenching. Thermochemical

treatments. Special heat treatments.

PLASTIC DEFORMATION I. (PhD Final exam) BMEGEMT9104 3 cp

PLASTIC DEFORMATION II. (PhD Final exam) BMEGEMT0104 3 cp

PLASTIC DEFORMATION (PhD) BMEGEMT8104 3 cp

Lecturers: Dr. Krállics, György; Dr. Bobor, Kristóf

Theory of metal forming

Tensile and upsetting test and basic material behavior. Engineering and true variables. Analysis of work

hardening. Necking, uniform elongation. Strain rate sensitivity. Tensors, matrices, vectors. Rotation of

Cartesian axes. Matrix and tensor operations. Definition of stress and stress tensor. Deviatoric stress.

Physical ideas of deformation. Lagrangian and Eulerian description of continuum kinematics. Deformation

tensors. Lagrange, Euler and logarithmic strain tensors. Mechanical principles.The virtual work principle.

Constitutive equations for elastic, plastic and viscoplastic materials. Plasticity, yield surface and yield

function. Strain hardening, evolution of yield surface. Basic concept of friction. Coulomb’s law. Sticking

friction and modified sticking friction. Upper and lower bound on power. Slab calculation. Stress and strain

analysis of basic manufacturing processes. Forging of disk. Flow trough conical converging dies. Strip

rolling. Deformability of metals. Theories of ductile fracture by Bogatov. Meso–damage by void evolution.

Lemaitre damage mechanics. Gurson’s model.

Metal forming and forging processes

Metal-forming process as a system. Direct (or) forward extrusion, indirect extrusion. Process variables on

direct extrusion. Types of metal flow in extruding with square dies. Hot extrusion. Die design and die

materials.

Basic technological concepts of rolling. Hot, cold and warm rolling. The raw material for rolling mills.

Rolled products.

Base technologies and raw materials of open die forging. Forging operation: edging, piercing, punching,

fullering, swaging. Design of technological processes for the formation of cavities. Close die forging

operations: billet, heating, preshaping, rough forging, finishing, trimming, final product, heat treatment.

Processes for the formation of cavities. Closed die forging tools. Die materials, required properties. Forging

equipment: hammers, screw presses, presses controlled by stroke, hydraulic presses

CERAMICS AND COMPOSITES BMEGEMT8665 3 cp

Lecturer: Dr. Orbulov, Imre Norbert

The subject deals with the production, properties and application possibilities of industrial ceramics and

metal matrix composites. The subject discusses the advantages and disadvantages of the different production

methods and routes. Besides this the subject analysis the relationships between the micro- and macrostructure

of the materials and the achievable mechanical properties. The subject also deals with the special design and

measure techniques of the composites’ mechanical properties.

ENGINEERING DIAGNOSTICS I. (PhD Final exam) BMEGEMT9106 3 cp

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ENGINEERING DIAGNOSTICS II. (PhD Final exam) BMEGEMT0106 3 cp

ENGINEERING DIAGNOSTICS BMEGEMT8106 3 cp

Lecturers: Dr. Ginsztler, János; Dr. Dévényi, László; Dr. Mészáros, István

Time and loading dependent deterioration processes of metallic materials. Structural and property changes

due to deterioration processes. Connections between structural deterioration, applicability and safe life time.

Typical failure cases and reliability. Material testing methods. Destructive and nondestructive testing

possibilities of deterioration processes. On-line diagnostical methods and production controlling. Basics of

quality assurance systems.

STRUCTURAL MATERIALS I. (PhD Final exam) BMEGEMT9109 3 cp

STRUCTURAL MATERIALS II. (PhD Final exam) BMEGEMT0109 3 cp

STRUCTURAL MATERIALS BMEGEMT8109 3 cp

Lecturers: Dr. Artinger, István; Dr. Krállics, György

Classification of materials. Characteristic features of metals, glasses, ceramics, plastics and composites.

Special steels, alloys and ceramics. High strength Al and Ti alloys. Superplastic alloys and ceramics,

superhard materials. Modern encrusting technologies. Novel polymer structural materials. Highly crystalline

and high strength polyolefines, aromatic plymers. Self enforcing liquid crystal polymers. Polymer composites

and alloys.

DEFORMATION AND FRACTURE OF METALLIC MATERIALS

BMEGEMT8663 3 cp

Lecturers: Dr. Krállics, György; Dr. Orbulov, Imre Norbert

Deformation mechanisms of metallic materials. The characteristic instability points of the different

deformation mechanisms and their calculations. Crack initialisation mechanisms, phenomenological criteria.

The descriptions of crack propagation, fracture mechanics parameters, their measurements and applications

for design purposes. Fatigue and its connection to fracture mechanics. The effect of temperature on the afore-

mentioned processes.

ELECTRICAL- AND MAGNETIC MATERIALS BMEGEMT8673 3 cp

Lecturers: Dr. Mészáros, István; Dr. Ginsztler, János

The subject summarizes the most important electrical conductive and magnetic materials used in mechanical

engineering and in industrial applications. Conduction and polarization processes, properties, requirements.

Bulk and thin film conductive materials, their properties, technological aspects. Superconductivity, and

superconductive materials. Semi-conductive materials, devices and technologies. Magnetic properties. Ferro

and ferromagnetic materials, magnetic thin films. Types of soft- and hardmagnetic materials and their

technologies.

ELECTRON MICROSCOPY BMEGEMT8531 3 cp

Lecturers: Dr. Szabó, Péter János; Dr. Májlinger, Kornél

The structure of transmission electron microscope (TEM), image forming theories. Deflecting coils,

electromagnetic lenses, aberrations, the optics of image formation. Special operating modes. Electron

diffraction. Application of the TEM. Sample preparation. Evaluation of images and diffraction patterns.

Special TEMs. Scanning electron microscope (SEM). The interaction between the electron beam and the

materials. The structure of the SEM. Image forming, contrast effects, detectors. The basis of digital image

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analysis. Sample preparation. Special SEMs. EDS and WDS analysis. Electron back scattering diffraction

(EBSD).

Department of Fluid Mechanics

ACOUSTICS I. (PhD, PhD Final exam) BMEGEÁT4A13 3 cp

Responsible: Dr. Kristóf, Gergely

Lecturer: Dr. Koscsó, Gábor

The subject of acoustics, the concept of sound and two-fold nature of sound. Homogeneous wave equation,

the general solution and solution in bounded space, organ pipe and room natural frequencies. Spherical

waves, acoustic resonators, the Helmholtz-resonator and applications. Sound propagation in ducts, higher

order modes, cross section step and termination in tubes. Simple expansion chamber, sound propagation in

tubes of varying cross section. Ray acoustics. Energetic relations of acoustic waves, sound pressure, intensity

and power. Point monopole, dipole and quadrupole sound sources, the acoustic source model law. Flow

generated noise, Lighthill’s acoustic analogy, inhomogeneous acoustic wave equation. The attenuation of

sound.

ACOUSTICS II. (PhD Final exam) BMEGEÁT4A24 3 cp

Responsible: Dr. Kristóf, Gergely

Lecturer: Dr. Horváth, Csaba

Review of the governing equations, with regard to the special forms used i acoustics. Free field acoustics for

a fluid medium at rest: orders of magnitude, wave equation and noise sources, Green function and integral

forms. The inverse problem and the uniqueness of the source. The basic solutions of the wave equation.

Acoustic energy and impedance. Free field Green’s functions. Multipole decomposition. Doppler effect.

Aeroacoustic analogies. Lighthill analogy, Curle’s analogy, Ffowcs Williams-Hawkings method, choice of

aeroacoustic variable, vortex noise. Categorization of aeroacoustic problems. The hierarchy of numerical

aeroacoustic simulations: direct computation of sound, hybrid methods, large eddy simulations. Numerical

considerations: Spatial discretization (wave propagation characteristics of finite difference schemes,

dispersion and dissipation, spurious waves, artificial viscosity, and filtering, computational efficiency),

temporal discretization, boundary conditions.

POST-PROCESSING OF FLOW FIELDS BMEGEÁT4A35 3 cp

Responsible: Dr. Kristóf, Gergely

Lecturer: Dr. Lohász, Márton Máté

Detailed examination of the invariants of the derivative (velocity gradient) tensor. Vortex detection in steady

and unsteady flow field. Visualisation of the vortex core. Wall streamlines, separation and reattachment lines.

Typical structures of the separated flows, characterisation of the separation zones. Planar streamlines and

stream surfaces. Visualisation of the heat fluxes. Special treatment for periodic flow fields.

FLUID MECHANICS I. (PhD, PhD Final exam) BMEGEÁT4A08 3 cp

Responsible and lecturer: Dr. Vad, János

The subject provides an overview on fundamentals of Fluid Mechanics (continuity, equations of motion with

practical applications, laminar and turbulent flows, similarity theory, hydraulics, fundamentals of gas

dynamics). It gives an in-depth insight into the descriptive equations of Fluid Mechanics, from various

perspectives of physics and mathematics, including the aspects of transport theory and numerical modelling.

It gives an overview on turbulence modelling, and on the possibilities of numerical computations on

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turbulent flows, taking the application example (among others) of characteristics of atmospheric flows. The

subject provides details on some selected chapters of Fluid Mechanics (free jets and their applications; vortex

laws and their applications; flows past bluff bodies). Finally, it gives a short summary on some advanced

Fluid Mechanics measurement techniques, including the aspects of computer-controlled data acquisition and

processing. The subject is supplemented by a more detailed discussion on the specific chapters related to the

individual research projects of the PhD students involved.

FLUID MECHANICS II. (PhD Final exam) BMEGEÁT4A09 3 cp

Responsible and lecturer: Dr. Kristóf, Gergely

Vorticity transport equation, potential flow, methods for analytical solutions. Darcy-flow, sources. Boundary

layers, solutions for laminar and turbulent boundary layer flows based on similarity rules. Overview of

Computational Fluid Dynamics (CFD), turbulence models. Basics of gas dynamics, wave phenomena.

Isentropic flow, Prandtl-Meyer expansion, expansion waves. Normal and oblique shockwaves, shockwave

reflection. Free jets. Open surface flows and flow in closed conduits. Pipeline networks, transient flows.

Atmospheric flows.

FLUID MECHANICS MEASUREMENTS BMEGEÁT4A16 3 cp

Responsible: Dr. Vad, János

Lecturers: Dr. Balczó, Márton; Dr. Suda, Jenő Miklós; Dr. Parti, Mihály, Dr. Vad, János

Introduction. The need for fluid mechanics measurements. Practical / industrial necessity of fluid mechanics

measurements in general. Quantities to be measured. Notes on fluid mechanics measurements. Aspects of

„being advanced”. Measurement of temporal mean pressures: static, total, dynamic. Probes and methods.

Manometers. Pressure-based measurement of velocity magnitude and direction. Anemometers, thermal

probes. Measurement of unsteady pressures. Temperature measurements. Practical aspects. Collaboration of

measurement technique and computational simulation. Practical aspects. Flow rate measurements with use of

contraction elements and deduced from velocity data. Comparison. Flowmeters: ultrasonic, MHD, capacitive

cross-correlation technique, Coriolis, vortex, rotameter, turbine, volumetric. Laboratory display. Industrial

case studies.

GAS DYNAMICS BMEGEÁT4A17 3 cp

Responsible and lecturer: Dr. Kristóf, Gergely

Non-viscous, steady, isentropic flow in channel of variable cross-section. Standing and moving normal

shockwave. Shockwave reflection. Shockwave tube. Flow with thermodynamic and viscous effects. Oblique

shockwaves and their reflection. Small perturbation theory. Similarity rules and assumptions.

INDUSTRIAL AIR TECHNOLOGY BMEGEÁT4A21 3 cp

Responsible and lecturer: Dr. Vad, János

Fundamentals of operation and classification of gas-handling, enthalpy-increasing turbomachinery (fans,

blowers, compressors). Design guidelines of axial and radial flow turbomachines. Recent trends in

turbomachinery research. Collaboration of fluid machinery and the connected system. Control, operational

aspects. On-site measurements. Industrial case studies.

ENVIRONMENTAL TECHNOLOGY I. (PhD, PhD Final exam) BMEGEÁT4A32 3 cp

Responsible: Dr. Vad, János

Lecturer: Dr. Parti, Mihály

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Biosphere and environment. Pollutants, pollution of environment. Sources, emission, transmission,

immission, conversion. Protection of environment, prevention, reduction. BAT. Integrated pollution

prevention and control. Direct and in-direct greenhouse gases, greenhouse effect, global warming. Civil

movements and international conferences. Results and failures. Sustainable development. Kyoto Protocol.

Ecological footprint and biological capacity of the earth. Atmosphere and climate, climate change. Water,

water-use, water resources and waste-water. Biodiversity. Mankind. Energy, energy use, energy sources,

fossil and renewable energy sources.

ENVIRONMENTAL TECHNOLOGY II. (PhD Final exam) BMEGEÁT4A15 3 cp

Responsible: Dr. Vad, János professor

Lecturers: Dr. Parti, Mihály; Dr. Suda, Jenő Miklós

A: Treatment of gaseous components: Absorption, equilibrium, equilibrium curve. Selection of solvent.

Material balances, operating line, minimum liquid-gas ratio. Flow sheet for sulphur dioxide absorption.

Adsorption,. equilibrium, adsorbents, adsorption plant, packed beds, regeneration of adsorbents. Application

of adsorption. Chemical waste gas treatment. Decreasing nitrogen-oxides content. Gas diffusion and

membrane contactors. Advantages and disadvantages.

B: Particle removal from gases: Aerosols. Particle dynamics. Momentum equation for particles in gas flow.

Mass balance of a separator, overall efficiency, penetration, fractional efficiency. Mean particle

concentration, measurement of particle concentration, sampling process. Particle removal from gases: main

forces/effects. Settling chambers or pre-separator louvers, Venturi-scrubbers, cyclones, electrostatic

precipitators, depth/surface filters.

C: Waste Water Treatment: Wastewater characteristics, pre-treatment (primary, secondary, tertiary

treatment). Primary separation or clarification wastewater treatment techniques. Physical-chemical

wastewater treatment techniques. Biological treatment techniques for biodegradable waste water. Wastewater

sludge treatment techniques, sludge disposal.

Students may select among A, B or C part according to the research topic of the PhD.

LARGE EDDY SIMULATION BMEGEÁT4A34 3 cp

Responsible: Dr. Kristóf, Gergely

Lecturer: Dr. Lohász, Márton Máté

Engineering motivations. Filters for incompressible Navier-Stokes equation. Properties of basic filters.

Numerical requirements of simulation. Strategies for under-grid-resolution modelling. Interaction between

numerical and modelling errors. Practical aspects of simulation. Special boundary conditions for Large Eddy

Simulation: setting of the inlet turbulence. Hybrid and zonal LES/RANS approaches. Evaluation of results.

Topological description of flow. Methods for vortex detection. Industrial case studies. Introduction to

numerical aeroacoustics. Large Eddy Simulation in aeroacoustics.

COMPUTATIONAL FLUID DYNAMICS BMEGEÁT4A14 3 cp

Responsible, lecturer: Dr. Kristóf, Gergely

Summary of governing equations of motion in fluid dynamics, possibilities & methods for numerical

solutions, the applied boundary conditions. Main assumptions, neglected / disregarded terms. Basic methods

for discretising: finite difference, finite element and finite volume methods. Consistence, stability,

convergence. Numerical solutions for the governing equations. Application of commercial CFD codes.

methods for grid generation / meshing, setting up the boundary conditions. Various modes for running

simulations. Analysis of the simulation results.

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TURBULENCE AND ITS MODELLING BMEGEÁT4A33 3 cp

Responsible: Dr. Kristóf, Gergely

Lecturer: Dr. Lohász, Márton Máté

Concept of turbulence. Properties of turbulence. Statistical description, higher moments, and visual

interpretations, uncertainty of its expected value in turbulent flows, correlation functions, length and time

scales. Reynolds-equation, properties of the Reynolds-stress tensor, transport equation for the Reynolds-

stress tensor and for the kinetic energy. Scales of turbulence, Kolmogorov spectra. Flow similarity, properties

of free shear layer flows and wall boundary layers. Concept for coherent structures. Eddy-viscosity models,

determination of its coefficients, and their uncertainties. Large Eddy Simulation.

Department of Energy Engineering

THERMODYNAMICS (PhD Final exam) BMEGEEN907D 3 cp

Lecturer: Dr. Imre, Attila R.

Thermodynamic systems and surroundings. State variables, equation of states. Zeroth Law. Classification of

processes. Works and heat. The First Law for various systems. Material properties in thermodynamics.

Second Law; entropy and its properties. Thermodynamic potentials. Conjugate variables; the Maxwell-

equations of thermodynamics; Euler-equation; Gibbs-Helmholtz equations; Gibbs-Duham equation; chemical

potential. Phase equilibrium, phase rule. Calculation of thermodynamic properties from measurable

quantities. Exergy. Thermodynamic cycles. Mixtures of gases. Third Law. Chemical reactions, enthalpy of

reactions.

HEAT TRANSFER (PhD Final exam) BMEGEEN007D 3 cp

Lecturer: Dr. Gróf, Gyula

Basic forms and equations of heat transfer. Mathematical basics of solution of heat conduction problems.

Numerical methods. Basic equations of convective heat transfer. Boundary layer and its role in heat transfer.

Classification of fluid flows. Convective heat transfer cases. Heat transfer of boiling and condensation. Heat

transfer by radiation. Radiation of gases.

ENERGY MANAGEMENT I (PhD Final exam) BMEGEEN8344 3 cp

ENERGY MANAGEMENT II (PhD Final exam) BMEGEEN834S 3 cp Lecturer: Dr. Ősz, János

Power supply (primary, secondary fuels, sectors, end users) and sustainable development (competitiveness,

security of supply, environmental protection). Energy efficiency in the field of fuel, heat and electricity

utilization. Primary and secondary energy supply of the World, Hungary and EU. Hydrocarbons (oil, natural

gas, generation, transmission, processing, storage and distribution). Stand alone, central and district heat

supply (heating, cooling). Electricity generation in thermal power plants (fossil fueled power plants, gas and

combined gas-steam power plants, fuel cells), pressurized water and boiling water nuclear power plants.

Low-carbon emission coal-based electricity production. Combined heat and power generation (steam power

plants, gas turbine and gas engine combined gas-steam power plants, heat pumps). Renewable energy sources

(hydro, wind, solar, biomass (waste), geothermal heat and power generation). Grid (natural gas, electricity,

district heating) power systems (demand, process, operational models, security of supply). Energy policy:

prices, internal and external costs, ownership, operation models in a globalized world.

THERMAL POWER PLANTS I. (PhD Final exam) BMEGEENHDS1 3 cp

THERMAL POWER PLANTS II. (PhD Final exam) BMEGEENHDS2 3 cp Lecturer: Dr. Bihari, Péter

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Power balance of electrical power system, importance of back-up power plants in the system and defining

their required size. Economic evaluation of heat and electricity production. Utilisation of renewable energies

in heat and electricity production and their effects on the system grid. Optimal supply allocation in the energy

production. Handling and describing the externalities in the energy production. Technologies in power

generation, tri- and polygeneration systems. Smart and microgrids in the electricity production. Production

planning during operation of power plant. Relation between greenhouse effect and production of electricity in

thermal power plants. Development trends in power plant technology. Advanced combined cycle power

plants (CCPP), role of the coal in CCPP. Complex systems for environmental protection in fossil fuel fired

thermal power plants.

HEAT ENGINES I. (PhD Final exam) BMEGEKG8306 3 cp

HEAT ENGINES II. (PhD Final exam) BMEGEKG8307 3 cp

Lecturer: Dr. Bereczky, Ákos

Introduction of the theoretical and real working cycles of the boilers and steam generators, cooling and heat

pump systems, steam and gas turbines and internal combustion engines. The interaction of the real working

cycle and design of the mechanisms and the systems will be presented too. Modeling procedures started from

theory to real process analysis will be shown, including the load control and control loops of the systems.

Also will be presented the safety and environmental protection requirements; reduction of emissions and

methods of application of these techniques. Validation of the energy and economic aspects of the

construction, in planning and in operation

HEAT ENGINES BMEGEKG8308 3 cp Lecturer: Dr. Bereczky, Ákos

Students will be introduced the real procedures in heat engines and energy conversion systems by reaction

kinetics, flow- and thermal-dynamical analysis. The real operation and structures of different equipment and

evaluation procedure will be demonstrated. Through the examples the operation will be presented in the

aspects of energy efficiency and environmental protection. Modeling procedures started from theory to real

process analysis will be presented too.

COMBUSTION TECHNOLOGY I. (PhD Final exam) BMEGEKG8315 3 cp

COMBUSTION TECHNOLOGY II. (PhD Final exam) BMEGEKG8316 3 cp Lecturer: Dr. Lezsovits, Ferenc

Properties of fuels. Firing of fossil and biomass fuels. Physical parameters and chemical equations of

combustion. Possible structures and stability of flames and parameters having effect on them. Modelling of

combustion procedures. Procedures in combustion procedures including chemical reaction, fluid flow, heat

transfer and correlations among them. Integration possibilities of catalytic procedures. Reduction of pollutant

emission and environmental effects. Evaluation of different firing solutions of solid, liquid and gaseous fuels.

Case studies and optimizations connected with firing parts of PhD processes in Furnaces, Gas turbines and

Integral Combustion Engines.

COMBUSTION TECHNOLOGY BMEGEKG9315 3 cp Lecturer: Dr. Lezsovits, Ferenc

Thermodynamics of combustion process, reaction kinetics, ignition procedures. Flame propagation in

laminar and turbulent flow. Possible structures and stability of flames and parameters having effect on them.

Modelling of combustion procedures. Procedures in combustion procedures including chemical reaction,

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fluid flow, heat transfer and correlations among them. Integration possibilities of catalytic procedures.

Reduction of pollutant emission and environmental effects. Evaluation of different firing solutions of solid,

liquid and gaseous fuels. Explosion and firing safety questions of firing and fuel technologies.

INTERNAL COMBUSTION ENGINES BMEGEKG8621 3 cp Lecturer: Dr. Bereczky, Ákos

The topics of the lectures are the follow: main elements and definitions, theoretical and real cycles of the

engines, losses and main related parameters. Introduction of the mixing systems, ignition systems and

abnormal combustion processes of spark ignition engines. The subject covers in detail of the combustion

process and mixing and control systems of the compression ignition engines. Presentation of the down-sizing

technologies and environmental protection requirements and reduction of emissions,

GAS AND STEAM TURBINES BMEGEKG8622 3 cp

Lecturer: Dr. Sztankó, Krisztián

Working processes of gas turbines, axial and centrifugal type compressors, axial and centripetal turbines.

One and multi shafted gas turbines. Cooling of blades. Working processes of steam turbines, saturated steam

operation, reheating, back pressure and extraction of steam. High speed steam turbines. Connected gas and

steam turbines in case of combined cycles.

COOLING MACHINES AND HEAT PUMPS BMEGEKG8625 3 cp Lecturer: Dr. Maiyaleh, Tarek

Goals and purposes of application of cooling equipment and heat pumps. Impacts of the environmental

protection, safety and energy related points of view in application and evolving. Systems with storage.

Combined cooling and heating equipment. Absorption equipment. Economical aspects.

THERMODYNAMIC WORKING FLUIDS BMEGEENDTDM 3 cp

Lecturer: Dr. Imre, Attila R.

The Laws of Thermodynamics. Equation of states. Energy-conversion. Efficiency. Adiabatic, isobaric,

isothermal and other processes. Thermodynamic cycles. Heat engines. Traditional and novel working fluids.

Supercritical working fluids and metastable fluids. Chemical properties of energetically relevant working

fluids. Economical, sociological and other aspects. The criteria for working fluid selection.

FLUIDIZED BED CONVERSION BMEGEENDFAK 3 cp

Lecturer: Dr. Szentannai, Pál

Hydrodynamics, Regimes of Fluidization, Gas-Solid mixing, Gasification, Gas cleaning, Combustion.

Biomass combustion, Fuels, Emissions, Heat transfer, Bubbling fluidized bed boiler, Circulating fluidized

bed boiler, Solid handling systems in fluidized beds, Air distribution grate, Gas-solid separators, Solid

recycle systems, History, Current role and significance, Directions of actual development, Scale-up.

NONEQUILIBRIUM THERMOMECHANICS OF SOLID CONTINUA

BMEGEENDSKT 3 cp

Lecturer: Dr. Fülöp, Tamás

Equilibrium thermodynamics of homogeneous solid bodies. Nonequilibrium extensions. The Second Law

and the role of entropy in asymptotic stability. Conventional kinematic quantities of solid continua.

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Objectivity, spacetime. Spacetime-friendly kinematic quantities: elastic, thermal expansion, plastic.

Spacetime-friendly constitutive functions. The dynamical set of equations. Rheological/viscoelastic

extension. Experimental investigations. Lessons and perspectives: theory, experiment, engineering

applications.

Department of Building Services and Process Engineering

BUILDING SERVICE SYSTEMS I. (PhD Final exam) BMEGEÉP8305 3 cp BUILDING SERVICE SYSTEMS II. (PhD Final exam) BMEGEÉP0305 3 cp

Lecturers: Dr. Garbai, László; Dr. Bánhidi, László; Dr. Barna, Lajos; Dr. Kajtár, László; Dr. Szánthó, Zoltán

The concept of building service systems, interactions between the building and the system. Concept,

classification and main elements of heating systems. Sizing of heating system and system elements,

determination of heating load and system performance.

Concept, function and classification of ventilation and climatisation systems for comfort spaces and

operating rooms. Dimensioning and selection of system elements.

Concept, classification, sizing and selection of communal systems: water, sanitary, gas and district heating

network. Control systems and building automation. Building and building service system simulation. Energy

efficiency and environmental aspects.

COMFORT THEORY I. (PhD Final exam) BMEGEÉP8309 3 cp COMFORT THEORY II. (PhD Final exam) BMEGEÉP0309 3 cp Lecturers: Dr. Bánhidi, László; Dr. Kajtár, László

Concept and sizing of well-being and thermal comfort indoors taking into account subjective and objective

parameters. Heat balance of the human body, determination of predicted thermal sensation, PMV-PPD

theory.

Role of indoor air quality in human well-being. Viewpoints, requirements, guideline values and sizing

principles of air quality assessment.

Heat balance of a building, insulation, "solar gains". Sizing based on stationary and non-stationary models.

Heat and moisture transport in the building envelope, thermal storage capacity, surface temperatures. Causes

of mould development, possibilities to avoid it. Healthy and sick buildings.

Ensuring comfortable indoor environments with heating and ventilation systems, different thermal comfort

and air quality levels produced by different systems. Selection of heating, ventilating and air-conditioning

systems based on thermal comfort and air quality requirements.

HEATING (PhD) BMEGEÉP9531 3 cp

Lecturers: Dr. Bánhidi, László; Dr. Csoknyai, István

Gravity and pump driven heating systems, pressure pattern. System circuits, boiler room and district heating

central station. Dimensioning and control of gravity and pump driven heating systems. Heat cost allocation

and heat metering. Steam heating. Special heating systems. Electric, solar and geothermal energy utilisation.

Low temperature heating systems.

VENTILATION SYSTEMS I. (PhD) BMEGEÉP8533 3 cp Lecturer: Dr. Kajtár, László

Ventilation system and their alignment, classification from design aspects. Determination of supply airflow

rate for continuous and periodic ventilation. System requirements. Designing ventilation systems in closed

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spaces. Air distribution system types. Comfort and technological aspects of ventilated spaces. Theory of

complex design and sizing of air duct systems.

VENTILATION SYSTEMS II. (PhD) BMEGEÉP8534 3 cp Lecturer: Dr. Kajtár, László

Important aspects of designing ventilation systems. Designing ventilation systems for natural and mechanical

ventilation. Elements of ventilation systems. Sizing of air heaters. Air humidifiers. Air dryer sizing.

Ventilation in clean-rooms. Industrial ventilation systems and their elements.

AIR-CONDITIONING (PhD) BMEGEÉP9535 3 cp Lecturer: Dr. Kajtár, László

Physical principles of moist air. Heating and cooling load calculations. Main elements of the air-conditioning

systems. Elements of the air handling units. Flowcharts. Energy saving air-conditioning systems. Customized

air conditioning equipment.

AIR-CONDITIONING SYSTEMS (PhD) BMEGEÉP9536 3 cp

Lecturer: Dr. Kajtár, László

Systems with central air handling units. Air-conditioning systems with local intervention design. Multi Zone

Air Conditioning Systems. VAV and VRU systems. Indoor Air Quality providing, effect of air exchange and

air distribution. Types of air-conditioning systems, comfort spaces, clean rooms, operating rooms, air-

conditioning for different technologies.

PROCESS INSTRUMENTATION AND CONTROL I. (PhD Final exam) BMEGEVÉ613S 3 cp PROCESS INSTRUMENTATION AND CONTROL II. (PhD Final exam) BMEGEVÉ613Z 3 cp Lecturer: Dr. Balázs, Tibor

Production processes description and challenges. Process control and information system hierarchy. Typical

instrumentation requirements. Field devices (sensors, smart transmitters, final elements, valves, PLCs).

Industrial temperature, pressure, fluid flow, level measurement and control. Instrumentation documentation

and drawing (P&ID).

Process Dynamics models. (Evaporator, reactor state space model). Advanced regulatory control (cascade,

ratio, split-range). Control for interacting process loops (variable pairing, decoupling). Batch manufacturing

and batch control models and terminology

PROCESSES AND EQUIPMENT I. (PhD Final exam) BMEGEVÉ612S 3 cp

PROCESSES AND EQUIPMENT II. (PhD Final exam) BMEGEVÉ612Z 3 cp

Lecturers: Prof. Láng, Péter; Dr. Örvös, Mária

Selected chapters of mechanical, thermal and diffusion processes. Special heat transfer problems,

dimensioning methods. Mixing models. The operation of evaporation and its optimisation. Modelling of

diffusion processes, solution of absorption and distillation problems. Dimensioning of stagewise and

continuous contactors. Description of simultaneous heat and mass transfer with lumped and discrete

parameters. Membrane separation methods.

PROCESS EQUIPMENT DESIGN I. (PhD Final exam) BMEGEVÉ614S 3 cp

PROCESS EQUIPMENT DESIGN II. (PhD Final exam) BMEGEVÉ614Z 3 cp

Lecturer: Dr. Nagy, András

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Construction of storage tanks, mixers, heat exchangers, and columns used in chemical and food industry.

Design guidelines, engineering materials, shape and size, manufacture process and economic issues,

reliability, transport and installation guarantee. The creation of a structural, load and calculation models. The

appropriate strength, sufficient stiffness, heat or low temperature and corrosion resistance and ensure

economically exploitable life. Typical structural solutions, flanged joints, gaskets, nozzles and joints, force-

insertion site and design of support structures. Static and dynamic control of pipelines. Corrosion protection

aspects of the design. Vacuum devices and high-pressure equipment design. Design of hybrid structures

made of reinforced plastic and metal equipment and special composite systems. Optimization and computer-

aided design.

TRANSPORT PHENOMENA I. (PhD Final exam) BMEGEVÉ611S 3 cp

TRANSPORT PHENOMENA II. (PhD Final exam) BMEGEVÉ611Z 3 cp

Lecturer: Prof. Láng, Péter

Description of heat, mass and momentum transport with non-equilibrium thermodynamic methods and

phenomenological equations. Relation between thermodynamic and phenomenological equations. Similarity

of laminar and turbulent transports. Similarity and generalisation of boundary layer equations. Problems of

simultaneous transports, their interactions and solution facilities.

MODELLING OF FOOD INDUSTRIAL PROCESSES BMEGEVÉ626D 3 cp Lecturers: Dr. Örvös, Mária; Dr. Both, Kinga

Analysis of food industrial processes. Mechanical, hydromechanical, thermal and diffusion processes in food

industrial equipment (squeezing, milling, sterilization, chilling and freezing). Modelling of simultaneous heat

transfer and diffusion processes. Description equations, solution possibilities.

PROCESS SIMULATION (PhD) BMEGEVÉ623D 3 cp Lecturers: Prof. Láng, Péter; Dr. Balázs, Tibor

Problems of similarity. Different description and solution facilities. Methods of investigation. Design of

experiments. General two phase and three phase equilibrium stage models. Types of model equations.

Degrees of freedom, specification. Phase equilibrium calculations. Simulation of countercurrent separation

processes (distillation, absorption, stripping, extraction) with a professional flow-sheet simulator.

GREEN TECHNOLOGIES BMEGEVÉ619D 3 cp

Lecturers: Dr. Örvös, Mária; Dr. Láng, Péter; Dr. Both, Kinga

Technologies using biological materials as raw materials. Technologies and equipment of bioethanol

production. Production technologies of biodegradable lactic acid from grain. Biorefinement. Study of

biodiesel production systems. Technology systems of renewable energy sources. Biomass production for

industrial raw material and energy purposes. Production and purification of biogas.

Department of Machine and Product Design

ENGINEERING DESIGN I. (PhD Final exam) BMEGEGE014D 3 cp

ENGINEERING DESIGN II. (PhD Final exam) BMEGEGE015D 3 cp

ENGINEERING DESIGN BMEGEGE004D 3 cp

Lecturers: Dr. Bercsey, Tibor; Dr. Horák, Péter

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The process and models of engineering design. Design theory schools, design strategies. The integrated

product design and development. Analysis type of engineering design tasks. Behavior and state of structural

system. Dimensioning models. Elastic-plastic dimensioning procedures. Stochastic methods of fatigue

dimensioning. Operational strength, impairment, and failure. Tribology dimensioning. Planning of quality

control and reliability. Modelling and simulation, experiment planning. Solving synthesis type tasks in

engineering design. Problem analysis, list of requirements and functions, functional structures. Physical

effects, effectors. Principle solutions, concept variants. Topology of structures. Architecture types.

Requirements and boundary conditions in elaboration. Cost, human factors, technology, environmentally

conscious design. Technical, economical, and usage values. Failure analysis, weak point discovery, value

healing and value engineering. Optimization procedures. Increase in the effectiveness of the design process.

NUMERICAL METHODS IN MACHINE DESIGN (PhD Final exam)

BMEGEGE003D 3 cp Lecturers: Dr. Váradi, Károly; Dr.Goda, Tibor

General techniques of structural analysis. Generating the structural and FEM models (truss, beam, shell, 2D

and 3D models) .Producing combined structural and FEM models. Loading models. Advanced preprocessing

and postprocessing.

Analysis of anisotropic and composite materials by FEM. Analysing material and geometric non-linearity.

Evaluation of contact and stress states of structural components. Dynamic problems. Transient and steady

state thermal problems. Evaluation of combined load cases. Engineering and mathematical techniques of

structural optimizations. Object functions and constrains. Parametric and shape optimization. 2D and 3D

structural optimization problems.

DESIGN OF POLYMER PRODUCTS BMEGEGE009D 3 cp

Lecturer: Dr. Grőb Péter

Design methods of different polymer and composite machine elements.

Analysis of metal-polymer parts. Apply of the Linear Viscoelastic Theory. Exploration of the fracture and

failure of polymer parts. Design for manufacturing, design for material. Failure mode and effects analysis.

TRIBOLOGY BMEGEGE010D 3 cp

Lecturers: Dr. Kozma, Mihály; Dr. Váradi, Károly

Definitions, elements, experimental methods of tribological systems. Dominant parameters of the system’s

behavior. Characteristic parameters of the surface of solid bodies. Contact of solid bodies. Definitions, types,

laws and theories of friction and wear. Surface demages. Material selection for sliding pairs. Materials with

good sliding conditions. Materials of frictional pairs. Wear resistance materials, surface layers and coatings.

Lubrication: the lubricants, lubrication techniques, lubrication states. Laws of generation of limit- and

hydrodynamic lubrication.

DRIVE TECHNOLOGY BMEGEGE008D 3 cp

Lecturers: Dr. Kozma, Mihály; Dr. Horák, Péter

Requirements towards drives. Selection and evaluation criteria for drives. Mechanical drive types.

Calculation of stress, carrying capacity, lifetime, losses. Mechanical drives for increased requirements. Power

split and inverse power split transmissions. Linear movement and rotational movement drives. Special

constant ratio mechanical transmissions. Gearboxes and variators. Sectional mechanical drives. Architecture

of hydrostatic drives. Open and closed hydraulic circuits. Control, losses, efficiency, dynamics of hydrostatic

drives. Drive chains, drive systems. Dynamic behavior of drive systems.

PRODUCT DEVELOPMENT I. (PhD Final exam) BMEGEGET01D 3cp

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PRODUCT DEVELOPMENT II. (PhD Final exam) BMEGEGET02D 3cp

PRODUCT DEVELOPMENT BMEGEGET11D 3cp

Lecturers: Dr. Bercsey, Tibor; Dr. Horák, Péter; Zalavári, József, DLA

Industrial products and characteristics. Content and management of product realization process. Goals, tasks,

and activities of design and development. The reference model and other models of the product development

process. Planning and management of development process. Methodology of product design and

development. Integrated product development. Product design and innovation. Definition, specification, and

structuring of the design problem. Problem solving methods. Inventive problem solving, TRIZ, WOIS.

Principles and methods of elaboration. Evaluation and decision making methods in design.

Product development and design. The value-relevant parameters in industrial design. Requirements towards

form. Rational and differentiated assessment of form. Design ideas and further developments. Relation of

function, technical concept, and form. User interface, carrying and holding structures, housings (covers).

Shaping for handling, usage, manufacturing, and cost. Form variants of unique and family line products. Role

of product graphics, color, and surface in design. Modelling and simulation is product development.

Management of product variants.

Department of Manufacturing Science and Technology

MANUFACTURING PROCESS PLANNING I. (PhD Final exam)

BMEGEGT9002 3 cp

Lecturer: Dr. Horváth, Mátyás

The CIM system. Features and structure of computer aided manufacturing process planning (CAPP) systems.

Modelling of objects, processes and systems. Man-machine communication means. Database of CAPP

systems and its management. Production information systems, methods of conventional and computerized

process planning. Operation sequence planning. Application of generative, semi generative and variance

based methods. Solutions of structuration and optimization tasks. Application of expert systems. Group

technology.

Evaluation of related literature.

MATERIAL AND MANUFACTURE ENGINEERING II (PhD Final exam) BMEGEGT0002 3 cp

Lecturer: Dr. Horváth, Mátyás

Based on Material and Manufacture Engineering I. it offers knowledge on advanced devices and equipment

of part manufacturing and assembly systems. Analysis and evaluation of process planning and manufacturing

systems, newly structured machine tools. Computer control, flexible automation and integration of processes

and systems, improvement of quality, optimization methods of processes and effectiveness of production

systems Evaluation of related literature.

MANUFACTURING ACCESSORY DEVICES I. (PhD Final exam)

BMEGEGT9004 3 cp

Lecturers: Dr. Mátyási, Gyula

The subject extends the tool design knowledge to the manufacturing science oriented PhD students. Hiearchy

of manufacturing accessory devices planning, material removal and shaping, functional analysis,

manufacturing geometry. Geometric design of cutting tools, and construction planning of them. Advanced

tool materials and their application. Principles and methods of position determination. Modern principles of

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applying the fixture devices in manufacturing. Modular systems for tools and fixtures. Application of CAD /

CAM systems for tool design and production planning. Advanced manufacturing processes.

MANUFACTURING ACCESSORY DEVICES II. (PhD Final exam)

BMEGEGT0005 3 cp

Lecturers: Dr. Markos, Sándor;

Databases of manufacturing accessory devices. Construction design and manufacturing planning of

measurement and control equipment. Design and manufacturing planning of plastic injection molding and

punches tools. Quality assurance in the tool manufacturing. Project work in tool design and manufacturing

planning applying CAD/CAM systems. Documentations for design and manufacturing process. Production

programming.

MANUFACTURING SYSTEMS I. (PhD Final exam) BMEGEGT9006 3 cp Lecturers: Dr. Németh, István; Dr. Váncza, István

The subject focuses on the composition and layout of manufacturing systems. Building blocks, layouts,

classifications, representations and mathematical models of manufacturing systems. Influence of designing

methods (CAD, CAE), production planning methods (e.g. group technology, CAM, CAPP) and production

control strategies (pl. just-in-time, lean manufacturing) on the design of manufacturing systems. Evaluation

methods of manufacturing system. Systematic planning and design of the resources and layout of

manufacturing system. Methodologies and software tools for modelling, simulation, evaluation and

optimisation of manufacturing system.

PRODUCTION SYSTEMS II. (PhD Final exam) BMEGEGT0007 3 cp

Lecturers: Dr. Németh, István; Dr. Váncza, István

The course focuses on production networks: it provides an introduction into the design, (re-) organization,

and operational planning of production networks. Methods of communication are surveyed along with the

issues of coordination and cooperation in networks. Both theoretical and pragmatic methods of coordination

are discussed. Mathematical models of integrated production and logistics planning problems are presented

by making use of an advanced mathematical programming environment. Finally, an introduction is provided

into the simulation of production networks by means of agent technologies.

ROBOTICS I. (PhD Final exam) BMEGEGT9008 3 cp

Lecturers: Dr. Németh, István; Dr. Arz, Gusztáv; Dr. Szalay, Tibor

Types, structure and control systems of industrial robots. Fundamentals of robot kinematics. Industrial robot

applications (manufacturing-assembly cells, systems). Programming of industrial robots. Robot grippers.

Robot application design, design supporting toolkits. Testing of industrial robots. Service robots and their

applications. Robot hands.

ROBOTICS II. (PhD Final exam) BMEGEGT0009 3 cp

Lecturers: Dr. Szalay, Tibor, Dr. Monostori, László

Design of robot applications. Design of robot movements. Planning of robot trajectories. Principles of

optimal planning. Time-, technology process-, energy optimal planning. Robot dynamics. Methods of robot

control. Advanced robot control methods: computed torque method, adaptive model reference method.

Implementation of advanced robot control.

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PROCESS SUPERVISION AND DIAGNOSTICS BMEGEGT8563 3 cp

Lecturers: Dr. Szalay, Tibor, Dr. Markos, Sándor; Dr. Monostori, László

Modelling of the cutting process, basic tools and methods of model creation. Design of experiments (DoE).

Simulation of the process, evaluation of the model. Tool condition monitoring, process diagnostics. Feature

extraction, sensor integration data processing and analysis. Application of soft computing methods in

monitoring. Connection of tool presetting, tool management and tool condition monitoring.

THEORY OF MACHINING BMEGEGT8564 3 cp

Lecturer: Dr. Takács, Márton

Basic and advanced theoretical knowledge of material removal by geometrically defined and undefined tool.

Energetical, physical, mechanical and tribological phenomena at chip removal processes, limitations and

consequences. Mathematical models of chip removal. Optimization. Characteristics of special and advanced

chip removal processes (new materials, new tool materials, micro machining, hard machining, ultra precision

machining). Classification of cutting processes.

DESIGN OF METAL-CUTTING MACHINE TOOLS AND MACHINE SYSTEMS BMEGEGT8565

3 cp Lecturer: Dr. Németh, István

Kinematics of metal cutting machine tools. Methods of conceiving design variants.

Main types of machine tools:

- from the lathe to the turning centre,

- from the milling machine to the machining centre.

Flexible manufacturing cells (FMC) and manufacturing systems (FMS). Structural building blocks and their

selection and assembly.

Precision and reliability of machine tools.

CONTROL AND SUPERVISING OF MANUFACTURING SYSTEMS BMEGEGT8566

3 cp Lecturers: Dr. Monostori, László; Dr. Mezgár, István

Overview the basic tasks of manufacturing control systems and the initialisation and synchronisation its

processes. Introduction of the agent-based logical control model. Presentation the layers and SW elements of

the ISA-95 domain hierarchy. Introduction the extended command system of NC controls, and the tasks of

the controlling computer. Overview the language tools and the applicable communication, and network

standards of control (e.g. OPC-UA, MAP).

METROLOGY BMEGEGT8571 3 cp

Lecturer: Dr. Szalay, Tibor

Theory and applications of both dimensional and process measurements. Processing of measured data, design

of experiments and statistical analysis. Coordinate measuring machines and coordinate measurement theory.

Laser interferometry and surface digitalisation. Measuring the micro-geometry. Multisensory systems,

measurements of the most important process features (force, torque, temperature, vibration …). On-line

monitoring techniques.

APPLIED ARTIFICIAL INTELLIGENCE BMEGEGT9101 3 cp Lecturer: Dr. Váncza, István

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The course is based on the material of the “Basics of Artificial Intelligence” course and provides a deeper

insight into some selected fields of Artificial Intelligence (AI). The actual topics fit to the doctoral research

themes of the PhD students who may tackle their own problems by making use of up-to-date AI methods,

tools and techniques. However, emphasis is put on taking a critical approach to contemporary AI methods.

Survey of related literature and learning the application of some selected AI tools is part of the program.

ARTIFICIAL INTELLIGENCE IN MANUFACTURING BMEGEGT9103 3 cp Lecturers: Dr. Monostori, László; Dr. Váncza, István

The design, management, monitoring and diagnostics of modern manufacturing systems call in many cases for

the application of artificial intelligence (AI) tools and techniques. The course is aimed at presenting the

appropriate AI methods along with their application examples, with a special emphasis on the faculties of

handling uncertain information and knowledge, as well as learning. Beyond symbolic AI methods (like rule-

based system) so-called subsymbolic methods using artificial neural network (ANN) representation will also be

discussed. In fact, the course will centeraround the hybrid methods that combine the two main approaches.

NEURAL NETWORKS AND THEIR APPLICATIONS BMEGEGT9104 3 cp

Lecturer: Dr. Monostori, László

The course is aimed at presenting such methods of artificial intelligence (A) that are particularly applicable in

intelligent manufacturing systems. Theoretical basics will discussed along with application examples.

Specifically, the course introduces artificial neural networks (ANNs), discusses the main models and their main

application areas with a special focus on manufacturing engineering. Symbolic methods of knowledge

representation and reasoning (primarily, rule-based representation) will be compared with the subsymbolic

approach of ANNs. Finally, hybrid models (such as hierarchical and neuro-fuzzy systems) integrating the two

approaches will be discussed together with their application in manufacturing.

Department of Hydrodynamic Systems

FLUID MACHINERY AND HYDRODYNAMIC SYSTEMS 1. (PhD Final exam) BMEGEVG930D 3

cp FLUID MACHINERY AND HYDRODYNAMIC SYSTEMS 2. (PhD Final exam) BMEGEVG030D 3

cp FLUID MACHINERY AND HYDRODYNAMIC SYSTEMS (PhD)

BMEGEVG830D 3 cp

Lecturer: Dr. Kullmann, László

Operation of turbo machines outside of their normal operation range (under malfunction, in transient state).

Rotor blade design applying the methods of complex analysis. 2D and quasi-3D models of flow in rotor

blade channels. Modelling of the turbomachinery operation, similarity criteria.

Hydrodynamic systems. Optimization of the energy consumption of piping systems. Models of friction loss

in unsteady flow. Solution of partial differential equations of hyperbolic type, computation of 1D normal

shock. Experimental methods for transient flows. Resonance phenomena of air supplying systems, stability

analysis of the operation of such systems.

NONSMOOTH DYNAMICAL SYSTEMS BMEGEVG001D 3 cp

Lecturer: Dr. Hős, Csaba

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The course provides a first insight into the qualitative and quantitative analysis of systems of ordinary

differential equations and maps with nonsmooth right-hand sides. The course material covers the analysis of

impacting systems, hybrid systems and Filippov systems, stability analysis of orbits and the corresponding

numerical techniques. The student projects allow direct application of the techniques on real-life engineering

systems.

Department of Mechatronics, Optics and Mechanical Engineering Informatics

METROLOGY I (PhD Final exam) BMEGEFO9054 3 kp

METROLOGY II (PhD Final exam) BMEGEFO9064 3 kp

METROLOGY BMEGEFO9074 3 kp Responsible: Dr. Samu Krisztián

Lecturer: Dr. Huba, Antal; Dr. Samu, Krisztián

The role of technical information obtained by measurement in scientific, technical research. Measurement as

a modelling process. Traditional and novel models of measurement. Information theory model of

measurement. Information theoretical questions in metrology: amount of information obtained by

measurement, entropy of error. Classsification of origins of errors, theoretical and technical aspects of error

reduction. Selected examples of the state of the art measurement methods of static and dynamic quantities in

mechanical engineering. MEMS and MEOMS devices in mechanical engineering measurements, electrical

and optical principles, with an emphasis on the application of fiber optics, interferometry and laser

technology. Methods for realization of measurements. Organization of typical signals in mechanical

engineering. Concepts of signal, message, information. Mathematical and measurement technical apparatus

of signal analysis. Set-up and tasks of measurement chains, and their fitting to signals to be measured.

Electronic devices of signal processing in mechanical engineering research.

MECHATRONICS I BMEGEFO6206 3 kp

MECHATRONICS II BMEGEFO6216 3 kp

MECHATRONICS BMEGEFO6226 3kp Responsible and lecturer: Dr. Korondi, Péter

Structure of mechatronics systems, tools and methods of design. Dynamical modelling. Sensors for

displacement, rotational speed and acceleration, force, pressure, light and heat. Sensors for magnetic field,

chemical sensors. Interface circuits for sensors. Actuators: electronic and electromagnetic, piezoelectric,

magnetostrictive, thermal, shape memory alloy, pneumatic, hydraulic and electrochemical principles, drivers

and interfaces. Microelectronics in mechatronics. Input and output interfaces and devices. Control of

mechatronics systems. Mechatronics systems in telepresence, tactile and haptic devices. Biologically inspired

constructions in mechatronics.

OPTICS I BMEGEMIDSO1 3 kp

OPTICS II BMEGEMIDSO2 3 kp

OPTICS BMEGEMIDVOP 3 kp Responsible: Dr. Ábrahám, György

Lecturer: Dr. Ábrahám, György; Dr. Wenzel, Gottfriedné

Propagation of light. Geometrical optics, wave-opticsm quantum-optics. Imaging. Basics of optical design,

calculation andof measurement of aberrationsimaging errors. Types, properties and applications of lasers.

Optics of the eye, eyeglasses. Optical measurement, image processing. Robot vision. Fiber optics, optical

communication. Optoelectronics. Optical instruments in medicine. Micoscopy. CD technology. Holography,

interferometry. Technical photography. Colour measurements. Lighting technology.

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APPLIED LASER TECHNOLOGY BMEGEFO8541 3 kp Responsible: Dr. Ábrahám, György

Lecturer: Dr. Ábrahám, György; Dr. Ujhelyi, Ferenc

Theoretical basics of lasers. Resonators. Modal structures. Gas-lasers, liquid lasers, tunable dye lasers.

Semiconductor lasers. Lasers in measurement. Optics of laser beam. Special materials in laser optics.

Tecnological lasers. Space, military, medical and measurement applications of lasers.

ELEMENTS OF PRECISION INSTRUMENTS BMEGEFO8542 3 kp Responsible: Dr. Samu Krisztián

Lecturer: Dr. Halmai Attila, Dr. Samu Krisztián

Construction elements in precision mechanics. The effect of small size. Detachable and permanent joints.

Pressed joints. Linear rolling bearings and linear plain bearings. Motion blockage effect. Stopper

mechanisms. Plain-bearings in precision mechanics. Horizontal and vertical jewel bearing. Torsion bearings.

Power elements: operating spring and midget motor. DC servo motors, stepper motors, electronically

commutated motors. Linear motors. Piezoelectric and electrostatic micro motors. Precision mechanical

clutches. Gear, tractive-, armed- and camshaft motion converters. Mechanical blockers. Damper mechanisms.

Handling and operating elements. Scale and hand elements. Precision adjustment mechanisms.

OPTICAL INSTRUMENTS AND MEASURING TECHNOLOGY

BMEGEFO8545 3 kp Responsible: Dr. Ábrahám György

Lecturer: Dr. Ábrahám György, Dr. Wenzel Gottfriedné

Distance and angle measurement. Optical measurement of velocity and acceleration. Photogrammetry,

projectors (inclusive LCD). Laser interferometers. Measurement application of holography. Measurements

with microscopes. 3 dimensional optical measurements. Moiré-technique. Stereo technique. Contactless

measurement of surface roughness. Polarization. Photometry, sensiometry. CD-technology. Infra-optics.

SENSORS AND ACTUATORS BMEGEMIDVSA 3 kp Responsible: Dr. Tamás Péter

Lecturer: Dr. Halmai Attila, Dr. Tamás Péter

Position, displacement and angle sensors. Stretch, pressure, force and acceleration sensors. Temperature

sensing. Humidity, gas and gas-composition sensing. Chemical sensors. Micromechanical sensors, MEMS.

Optoelectronical sensors. Imaging. Képalkotás. Spatial scanning, image reconstruction with computer. CCD

line and matrix detectors, position-sensitive line detectors. Color sensors. Fibre optical sensors. Biology

inspired sensors and actuators. Electronic actuators. Electromagnetic actuators: DC, stepper and electrically

commutated motors. Linear motors. Pneumatic and hydraulic actuators. Special (piezo, shape memory alloy,

electro- and magnetorheological) actuators. Microtechnical actuators.

COLORIMETRY BMEGEFO8547 3 kp Responsible: Dr. Samu Krisztián

Lecturer: Dr. Wenzel Gottfriedné, Dr. Samu Krisztián

Photometry and radiometry. Basics of colour vision. The CIE colour system. Methods of colour

measurement: visual-, tristimulus-, and spectrophotometric methods. Colour measurement instrument

constructions. Light sources. Standard illuminants. Colour Rendering Index (CRI). Colour temperature (CT),

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and correlated colour temperature (CCT). Colour reproduction of TV, PC and video systems. Colour

measurement in agriculture-, food-, textile- and cosmetic industry. Colour psychology and visual acuity.

Types of colour deficiency. Measurement and correction of color deficiency. Information processing by

colours. Colorimetry calculus. Metamerism and metameric index (MI).

Department of Applied Mechanics

MECHANICS I. (Fundamentals of continuum mechanics, PhD Final exam) BMEGEMM011D 3 cp

Lecturers: Dr. Béda, Gyula; Dr. Kossa, Attila

Summary of tensor algebra and tensor analysis. Introduction of general curvilinear coordinate systems.

Kinematics of continuous medium, deformation gradient, strain tensors, material time derivative, velocity

and acceleration fields, velocity gradient, objective rates. Equations of motions. Brief summary of

thermodynamics.

Constitutive equations for continuous medium: fluids, elastic materials, Green’s elasticity. Developing

material models.

MECHANICS II. (Advances in continuum mechanics, PhD Final exam) BMEGEMM021D 3 cp

Lecturers: Dr. Béda, Gyula; Dr. Kossa, Attila

Recent advances in material modeling. Brief summary of linearized kinematics. Developing material models

based on phenomenological aspects; thermodynamical basis; microsturtural investigations. Constitutive

equations for finite strain problems.

Elastodynamics, wave equation. General representation of acoustic tensor. Relation between the wave

equation and the constitutive equations, its application in material testing.

Kinematics and dynamics of micropolar materials. Elastic micropolar mediums. Governing equation for the

Cosserat medium.

MECHANICS II. (Large elastoplastic deformation, PhD Final exam) BMEGEMM024D 3 cp Lecturer: Dr. Szabó, László

Review of the different multiplicative decompositions of the deformation gradient. Definition of the stress-

free configuration. Physically objective stress rates. The concept of conjugate stress and strain pairs.

Introduction to the macroscopic (continuum) and microscopic theories of plasticity. Hyperelastic and

hyperelastic constitutive models. Variational principles and nonlinear finite element models. Incremental

forms of the virtual work. Iterative solution methods for the nonlinear finite element equations. Finite

element algorithms for large deformation (large displacements, large rotation and finite strain). Review of the

various material nonlinearities and their finite element methods. Basics of the numerical integration methods

(stress updating) of the constitutive equations and the consistent tangent modulus.

NUMERICAL METHODS (Numerical Methods in Mechanics, PhD Final exam) BMEGEMM031D 3

cp

Lecturer: Dr. Kovács, Ádám

Finite difference methods in the solution of linear first- and second-order ordinary differential

equations. Applications in instationary diffusion-type and structural dynamics problems.

Method of weighted residuals, Galerkin-method. Use of the finite element method in nonlinear problems

(elastic-plastic deformation, large displacement). Approximate methods of structural dynamics problems.

Application in beam and plate problems.

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MECHANICS I. (Dynamics, PhD Final exam) BMEGEMM012D 3 cp

Lecturer: Dr. Stépán, Gábor

Holonomic rheonomic systems, Lagrangian equation of the 2nd kind. Hamilton Principle and its

generalizations. Partial differential equations of continua derived from variational principles. Hamiltonian

equations of motion, first integrals. Routhian equations of motion. Cyclic and essential coordinates, cyclic

systems. Critical speed of rotating shafts. Gyroscopic systems. Wilson pendulum. Chaotic motion in

conservative systems. Dissipative and pseudo-gyroscopic forces. Dynamics of rotating shafts above the

critical speed. Two laboratory practices.

MECHANICS II. (Analytic, PhD Final exam) BMEGEMM022D 3 cp

Lecturer: Dr. Stépán, Gábor

Classification of constraints, degrees of freedom, general coordinates, possible and virtual velocities,

variation of velocities. Classification of mechanical systems. Non-stationary systems, gyroscopic forces,

parametric excitation. Mathieu equation, Hill equation, Floquet theory. Incze-Strutt stability chart. Parametric

excitation of multi degree-of-freedom systems and continua. Quasi-periodic and period doubling vibrations.

Non-holonomic systems. Lagrangian equation of the first kind, Routh-Voss equations, Appell equations.

Dynamics of sledge, rolling penny, towed wheel, joy-stick controlled robots.

MECHANICS I. (Robot mechanisms, PhD Final exam) BMEGEMM013D 3 cp Lecturer: Dr. Szabó, Zsolt

Kinematic and dynamic analysis of industrial robots in different domains of the operational space.

Kinematics: effective methods of inverse kinematics. Problems of redundant systems. Robot mechanisms

with open and closed kinematic chain. Parallel manipulators. Problems of collaborative robotic arms.

Dynamics: effective methods of inverse dynamics. Symbolic generation of the equations of motions. Inverse

dynamic problems of models with closed kinematic chain (collaborative robotic arms, walking robots,

robotic hands with multiple fingers, etc.). Operational space: definitions and subspaces. Determining

workspace qualifying properties (mobility, load capacity, etc.).

DYNAMICS AND SIMULATION OF MULTIBODY SYSTEMS BMEGEMM199D 3cp Lecturer: Dr. Zelei, Ambrus

Review of the mathematical and geometric background. Description of spatial position and orientation of

rigid bodies. Application of the Euler angles and the quaternions for the description of spatial orientation.

Derivation of equation of motion by means of the Newton-Euler and the Lagrangian formalism. Lagrange

equations of motion of the first kind. Classification of constraints. Application of minimal set (generalized)

coordinates and redundant set coordinates coordinates for the geometric description of mechanical systems.

Natural coordinates. Numerical methods for solving constrained equations of motion. Method of Lagrange

multipliers, Baumgarte-method, penalty methods. Serial and parallel robots and mechanisms, closed

kinematic loops. Application of Wolfram Mathematica, Matlab, and other softwares for dynamic modeling

and simulation. Lab seminar included.

MECHANICS OF COMPOSITES BMEGEMM151D 3 cp

Lecturer: Dr. Szekrényes, András

Material law of anisotropic bodies, stiffness and compliance matrices. Transformation of stresses in

orthotropic layers. Classical (Kirchhoff) theory of laminated plates. Extensional, coupling and bending

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stiffness matrices, matrix equation of laminated plates. Equilibrium equations and equations of motion for

thin laminated plates. Poisson and Kirchhoff type boundary conditions. Pure bending of rectangular plates,

theory of long plates. Stress distribution in laminated plates. Navier and Lévy type solutions for rectangular

plates. Convergence studies. Application of Cauchy state-space model to plate bending problems. Stability of

orthotropic plates under in-plane load. Mindlin plate theory. Free torsion of orthotropic composite beams.

Quadratic failure criterion and its variants (Tsai-Hill, Hoffmann, Tsai-Wu and maximum stress criteria).

Micromechanical analysis of composite materials. Linear and nonlinear vibrations of simply supported

laminated plates.

Department of Polymer Engineering

NANOCOMPOSITES BMEGEPT0111 3 cp

Lecturers: Dr. Mészáros, László; Dr. Karger-Kocsis, József

This course focuses on the nanocomposites, their components (nanomaterials and matrix materials),

manufacturing methods, characterization and applications. Different types of nanomaterials will be

presented, that can influence the mechanical, thermal, electrical, etc. properties of the matrix materials by

different ways. The major preparation routes of these nanocomposites are discussed.

POLYMER STRUCTURES I. (PhD exam) BMEGEPT9107 3 cp

POLYMER STRUCTURES II. (PhD exam) BMEGEPT0107 3 cp

POLYMER STRUCTURES (PhD) BMEGEPT8107 3 cp

Lecturers: Dr. Vas, László Mihály; Dr. Karger-Kocsis, József

Structure, morphology of polymer fibres, statistical description methods, test methods. The relationship

between structure and physical properties. Polymer solutions, properties of amorphous and semicrystalline

polymers. Compatibility, polymer blends and alloys. Behaviour under mechanical load. Deformation and

structural causes, the influence of temperature. Free volume theory, WLF equation, similarity principles.

High elastic deformation, ideal rubber polymer network model and its amendments. Rheological models,

linear viscoelastic theory, nonlinear methods. Strength of polymers, fracture behaviour and fracture

mechanics tests. Highly oriented polymers, fibre strength models.

POLYMER PROCESSING TECHNOLOGIES I. (PhD exam) BMEGEPT9108 3 cp

POLYMER PROCESSING TECHNOLOGIES II. (PhD exam) BMEGEPT0108 3 cp

POLYMER PROCESSING TECHNOLOGIES (PhD) BMEGEPT8108 3 cp

Lecturers: Dr. Czvikovszky, Tibor; Dr. Czigány, Tibor; Dr. Karger-Kocsis, József

Processing of thermoplastic polymers. Rheology and processing of thermoplastic polymers. Process control

of melting, mixing and further processing of thermoplastics. Extrusion, automation and computer controlled

injection moulding. Automatic control of the production of hollow bodies from thermoplastic polymers.

Polymer composites technologies. Reinforcing fibres of advanced polymer composites. Carbon fibres, glass

fibres, organic fibres. Thermoset and thermoplastic polymeric matrices. Role and assessment of fiber-matrix

interphase. Pultrusion. Production of laminated structures. Composite winding technologies. Test methods

for polymer composites.

POLYMER COMPOSITES I. (PhD exam) BMEGEPT9110 3 cp

POLYMER COMPOSITES II. (PhD exam) BMEGEPT0110 3 cp

POLYMER COMPOSITES (PhD) BMEGEPT8110 3 cp

Lecturers: Dr. Czigány, Tibor; Dr. Vas, László Mihály; Dr. Karger-Kocsis, József

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Raw materials of polymer composites, properties of the most common matrix and reinforcing materials,

reinforcing fibre structures. Fibre reinforcement of advanced polymer composites. Carbon fibres, glass fibres,

mineral and polymer fibres. Natural fibres. Thermosetting and thermoplastic polymer matrices. Fibre-matrix

interface/interphase. Hybrid polymer composites. Polymer composites: manufacturing technologies.

Sandwich structures. Pultrusion. Manufacturing of laminated structures. Composite wending technologies.

SMC and BMC technologies. Special manufacturing processes. Methods for testing and certification of

products made of composites. Static and dynamic tests. Destructive and non-destructive testing of polymer

composites. Recycling issues. Design and production. Special application fields of polymer composites.