introduction fem fe model solution visualization...
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Introduction FEM FE model Solution Visualization Abaqus
Finite element method - tutorial no. 1
Martin NESLADEK
Faculty of mechanical engineering, CTU in Prague
13th October 2015
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Introduction FEM FE model Solution Visualization Abaqus
Introduction to the tutorials
E-mail:
Room no. 622 (6th floor - Dept. of mechanics, biomechanics andmechatronics)
Consultations:
every Tuesday at 10:45 - 12:15
Tutorials to the FEM I. course: every even week at 16:00 - 17:30in room no. 405b
Lectures to the FEM I. course: every Friday from 10:45 in lectureroom no. 366 (Mr. Spaniel)
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Introduction FEM FE model Solution Visualization Abaqus
Introduction to the tutorials
Topics of the tutorials:1 Introduction to practical applications of the FEM - basic
terminology, introduction to ABAQUS software (2 – 3 lessons)
2 Minimum total potential energy principle (2 lessons)
3 Application of the basic principles of the FEM to simple problemson mechanical response of bars and trusses (2 lessons)
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Introduction FEM FE model Solution Visualization Abaqus
Finite element method
FEM is a numerical method for solving the partial differentialequations (and their systems) on an arbitrary domain
By using FEM we are able to solve:
Mechanical response of solids - analysis of stress and strain fieldsof a single part or assemblyHeat transfer - calculation of the temperature fieldFluid flow - analysis of velocity and pressure fieldsFluid-structure interaction. . .
We restrict the FEM I. course to problems of the mechanicalresponse of solids
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Introduction FEM FE model Solution Visualization Abaqus
Simulation procedure by using a FEM-basedsoftware
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Introduction FEM FE model Solution Visualization Abaqus
Preparation of an FE model
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Introduction FEM FE model Solution Visualization Abaqus
Preparation of an FE model
F1
F2
F1
F2
discretization
CAD modelF1
F2
discretization
CAD model
nodes
F1
F2
discretization
CAD model
nodes
elementsF1
F2
discretization
F1
F2
nodes
elements
boundary
conditions
7 / 17Finite element method - tutorial no. 1
Introduction FEM FE model Solution Visualization Abaqus
Preparation of an FE model
F1
F2
F1
F2
discretization
CAD model
F1
F2
discretization
CAD model
nodes
F1
F2
discretization
CAD model
nodes
elementsF1
F2
discretization
F1
F2
nodes
elements
boundary
conditions
7 / 17Finite element method - tutorial no. 1
Introduction FEM FE model Solution Visualization Abaqus
Preparation of an FE model
F1
F2
F1
F2
discretization
CAD model
F1
F2
discretization
CAD model
nodes
F1
F2
discretization
CAD model
nodes
elementsF1
F2
discretization
F1
F2
nodes
elements
boundary
conditions
7 / 17Finite element method - tutorial no. 1
Introduction FEM FE model Solution Visualization Abaqus
Preparation of an FE model
F1
F2
F1
F2
discretization
CAD modelF1
F2
discretization
CAD model
nodes
F1
F2
discretization
CAD model
nodes
elements
F1
F2
discretization
F1
F2
nodes
elements
boundary
conditions
7 / 17Finite element method - tutorial no. 1
Introduction FEM FE model Solution Visualization Abaqus
Preparation of an FE model
F1
F2
F1
F2
discretization
CAD modelF1
F2
discretization
CAD model
nodes
F1
F2
discretization
CAD model
nodes
elements
F1
F2
discretization
F1
F2
nodes
elements
boundary
conditions
7 / 17Finite element method - tutorial no. 1
Introduction FEM FE model Solution Visualization Abaqus
Preparation of an FE model
F1
F2
nodes
elements
boundary
conditions
node – represents a material point of thebody; equations of equilibrium of internaland external forces are assembled andsolved in nodes
element – represents a volumetricsubdomain of the body; topology of theelements is given by nodes; many types,regarding the topology, idealization ofgeometry (continuum el., shells, beams,truss) and physical nature of the problem,exist
elements and nodes together form the finiteelement mesh
boundary conditions – the kinematic andexternal load conditions
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Introduction FEM FE model Solution Visualization Abaqus
Preparation of an FE modelTo simulate the material response as real as possible, a propermaterial model is needed:
σ
ε
E = tg(ϕ)
ν = −εyεx
ϕ
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Introduction FEM FE model Solution Visualization Abaqus
Preparation of an FE model
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Introduction FEM FE model Solution Visualization Abaqus
Preparation of an FE model
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Introduction FEM FE model Solution Visualization Abaqus
Solution
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Introduction FEM FE model Solution Visualization Abaqus
Solution
Solver generates and solves the system of linear equationsKu = f based on the parameters of the model.K – the global stiffness matrixu – the global vector of nodal displacementsf – the global vector of external equivalent nodal forces
Displacements are solved primarily u = K−1f and the othervariables are derived from them.
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Introduction FEM FE model Solution Visualization Abaqus
Solution
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Introduction FEM FE model Solution Visualization Abaqus
Visualization of analysis results
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Introduction FEM FE model Solution Visualization Abaqus
Visaulization of analysis results
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Introduction FEM FE model Solution Visualization Abaqus
Installation of Abaqus
Installation files can be downloaded from thehttp://studium.fs.cvut.cz website (use the same loginas to the other school systems), then switch to”software/abaqus”directory
At first, install the Abaqus documentation
When installing the program, refer to elic.fsid.cvut.cz licenseserver and port no. 1701
Windows 8+ is compatible only with Abaqus 6.13+ versions
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