HITEC UNIVERSITYDEPARTMENT OF MECHANICAL ENGINEERING

Course Outline for Semester Spring 2012Course Code ME 307

MECHANICAL VIBRATIONS

Instructor: Tariq Manzoor Office: Mechanical Engineering departmentClass Time and Place: As per time table

Course Description

This course will have a good understanding of the modeling of vibratory motion of mechanical systems using both single and multiple degree of freedom concepts. Students will be able to design simple vibration isolation systems. They will understand the concepts of natural frequencies and mode shapes and their significance in the solution of multiple degree of freedom problems. Students will have an introduction to the use of some mathematical methods as a solution to differential equations of motion. They will be able to complete basic system modeling tasks.

Course Objectives 1- To help students in their understanding about vibratory motion of mechanical systems.2- To persuade students how to select and design for damping of a particular vibratory

motion of mechanical systems.3- To help students about the design related to vibratory motion of mechanical systems.

Format In order to achieve the objectives, a variety of teaching methods will be employed including contents presentation, individual and group exercise and methods practices sessions. This is a two credit-hour course.

Homework AssignmentsHomework assignments are designed to help you learn the mechanics of the methods discussed in class and to give you an opportunity to apply these concepts in a straightforward manner. In addition to their value as learning exercises, doing a careful and thorough job on the homework assignments is the best preparation for the exams.Assessments and its Weightages:

Quizzes 6 10% Assignments 10%

Sessionals 2 30% End Term Exam 50% Grading policy will be relative with F grade below 40%

Student Participation and Attendance PolicyStudents are expected to attend all classes. Students’ learning and grade depend upon your regular attendance. Students are expected to attend the section, for which they are enrolled, except on an occasional basis as approved in advance by the Teacher. Please note the official policy of the Institute regarding attendance. Students should make every effort to be in class on time.

Lectures style and Teaching Methodology

Consistent with the course objectives, lectures will address learning objectives associated with weekly topics (as outlined in the schedule below), including basic principles and working examples. While lectures will closely parallel material contained in assigned readings, they are not substitutes. In particular, lectures will clarify, expand and where necessary, update material contained in assigned readings.The students will be provided the PowerPoint slides and hard copies of the lecture material.

Students’ Meeting Times and Office HoursMonday to Friday between 1430 to 1630, please check for regular class timings

Text Book and Recommended Books

1. Mechanical Vibrations by S. S. Rao

2. Mechanical Vibrations by Schaum Outline Series

3. Theory of Vibration with Applications by William T. Thomson 4. Any other given material

Course Contents and Weekly Schedule

Week 1 Introduction to the vibratory motion of mechanical systems

Harmonic motion, degrees of freedom, periodic motion

Week 2 Harmonic motion, periodic motion, vibration terminology. Free Vibrations:

Equation of motion

Week 3 Free Vibrations, Energy methods

Viscously damped free vibration

Week 4 Logarithmic decrement

Harmonically excited vibration

Week 5 Forced harmonic vibration

Vibration isolation

Week 6 Vibration analysis and measurments

Week 7 Sessional Exam-1

Week 8 Two Degree of Freedom System

Normal modes of vibration

Week 9 Two Degree of Freedom System:

Co-ordinated coupling

Forced harmonic vibration

Week 10 Two Degree of Freedom System:

Vibration absorber

Vibration damper

Week 11 Vibration of Elastic Bodies

Free and forced vibration of a uniform bar

Week 12 Vibration of Elastic Bodies:

vibration of a uniform bar with end masses

Week 13 Vibration of Elastic Bodies

Free and forced lateral vibrations of simply supported thin beams

Week 14 Sessional Exam-2Week 15 Torsional vibration of circular shafts with single rotor and two rotors

Week 16 critical speed of rotating shafts with single rotor and two rotors

Week 17 modeling the damping systemsWeek 18 Measurement of VibrationsWeek 19 Final examination

Instructor: Tariq Manzoor