Variational Methods. Principle of stationary potential energy. Potential energy of an elastic body. Bar and Beam Elements. Shape functions. Stiffness matrix. Boundary conditions. Applied mechanical loads. Equilibrium equations. Stresses. Solution of equations. Basic Elements. Stress-strain relations. Interpolation and shape functions. Linear triangle. Rectangular solid elements. Numerical integration. One, two and three dimension applications. Elasticity relations. FEM in Structural Dynamics. Dynamic equation. Mass and damping matrices. Natural frequencies and mode shapes, solutions method. Response History. Modal methods. Harmonic response. Direct integration methods-explicit or implicit.
Finite Element Method in Mechanics
| Type of study | Doctoral |
|---|---|
| Language of instruction | English |
| Code | 330-0903/04 |
| Abbreviation | MKPME |
| Course title | Finite Element Method in Mechanics |
| Credits | 10 |
| Coordinating department | Department of Applied Mechanics |
| Course coordinator | doc. Ing. Zdeněk Poruba, Ph.D. |
Subject syllabus
Literature
Cook R. D., Malkus D.S., Plesha M.E., Witt R.J. CONCEPTS AND APPLICATIONS OF
FINITE ELEMENT ANALYSIS. 4th edition. J. Wiley & Sons, Inc. NY, 2002, p. 719,
ISBN 0-471-35605-0
REDDY, J.N., An Introduction Nonlinear Finite Element Analysis, Oxford
University Press, 2004, p. 463, ISBN 0-19-852529-X
WRIGGERS, P., Nichtlineare Finite-Element Metoden, Springer, 2005, p. 495, ISBN
3-540-67747
BHATTI,M.A., Advanced Topics in Finite Element Analysis of Structures: with
Mathematica and Matlab Computations, Wiley, 2006, p.590, ISBN-13 978-0-471-
64807-9
FINITE ELEMENT ANALYSIS. 4th edition. J. Wiley & Sons, Inc. NY, 2002, p. 719,
ISBN 0-471-35605-0
REDDY, J.N., An Introduction Nonlinear Finite Element Analysis, Oxford
University Press, 2004, p. 463, ISBN 0-19-852529-X
WRIGGERS, P., Nichtlineare Finite-Element Metoden, Springer, 2005, p. 495, ISBN
3-540-67747
BHATTI,M.A., Advanced Topics in Finite Element Analysis of Structures: with
Mathematica and Matlab Computations, Wiley, 2006, p.590, ISBN-13 978-0-471-
64807-9
Advised literature
Examples for ANSYS solutions: http://www.mece.ualberta.ca/tutorials/ansys/
Zhi-Hua Zhong. Finite Element Procedures for Contact-Impact Problems. Oxford
University Press, 1993, p. 371, ISBN 0-19 856383-3
WRIGGERS, P., Nichtlineare Finite-Element Metoden, Springer, 2005, p. 495, ISBN
3-540-67747
Zhi-Hua Zhong. Finite Element Procedures for Contact-Impact Problems. Oxford
University Press, 1993, p. 371, ISBN 0-19 856383-3
WRIGGERS, P., Nichtlineare Finite-Element Metoden, Springer, 2005, p. 495, ISBN
3-540-67747