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Numerical Methods of Mechanics II

Type of study Follow-up Master
Language of instruction English
Code 330-0533/02
Abbreviation MKPII
Course title Numerical Methods of Mechanics II
Credits 5
Coordinating department Department of Applied Mechanics
Course coordinator doc. Ing. Martin Fusek, Ph.D.

Subject syllabus

1. Introduction, revision (matrix calculus, continuum mechanics, numerical methods, modeling)
2. Finite element method - basic concepts, stationary and non-stationary problems
3. Linear loss of shape stability
4. Motion equations of elastic systems, Dynamics and FEM
5. Eigen frequencies and eigenmodes of oscillation
6. Solution of mechanical system response by the method of development into eigenmodes - proportional damping matrix
7. Direct integration methods of motion equations - implicit methods
8. Direct integration methods of motion equations - explicit methods
9. Basic terms of thermomechanics, material and temperature
10. Basic equations of thermoelasticity, FEM in thermal problems
11. Heat transfer
12. Mutltiphysical problems
13. Introduction to the network method
14. Introduction to boundary element method

Literature

[1] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Enginners. John Wiley & Sons, 1992509p.ISBN 0-471-92813-5

Advised literature

[1] BARRON, F. R. – BARRON R., B. Design for Thermal Stresses, Willey: 2012. 510 s., ISBN 978-0-470-62769-3