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Terminated in academic year 2014/2015

Finite Element Methods 1

Type of study Bachelor
Language of instruction Czech
Code 339-0304/01
Abbreviation MKP1
Course title Finite Element Methods 1
Credits 6
Coordinating department Department of Mechanics of Materials
Course coordinator prof. Ing. Radim Halama, Ph.D.

Subject syllabus

Subject includes an explication of FEM foundations for linear structural problems and also has practical focus:
1. Lecture – Elementary thought of FEM. Selection of interpolator functions. Types of elements. Derivation of stiffness matrix of a truss element. Equations of an elasticity mathematical theory. Minimal principle of potential energy. Process at FEM calculation. Conditions of convergence.
2. Lecture – assembly of global stiffness matrix and right side. Foundations of Ansys Workbench (description of individual models, work with help). Example 1: application example – beam in 3D.
3. Lecture – Computational modelling. Simplified exercises from 3D to 1D and 2D. Example 2: wrenche.
4. Lecture – Choice of boundary conditions. Singularity. Reading geometry from CAD model and its modification. Example 3: symmetry usage.
5. Lecture- Error of FEM calculation (aposteriori estimate). Adaptive FEM algorithm (h-method). Example 4: Think walled pressure tin.
6. Lecture - Seminary work.
7. Lecture – Seminary work.
8. Lecture – Seminary work.
9. Lecture – Final test, finalization and handing over a seminary work.

E-learning

no

Literature

[1] MADENCI, E., GUVEN, I. The Finite Element Method and Applications in Engineering Using Ansys®. Springer, 2006, 686p. ISBN 978-0-387-28290-9

Advised literature

[2] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Engineers. John Wiley  Sons, 1992, 509p.ISBN 0 471 92813 5