Ukončeno v akademickém roce 2014/2015

Buckling Theory

Type of study	Doctoral
Language of instruction	Czech
Code	337-0919/02
Abbreviation	TS
Course title	Buckling Theory
Credits	10
Coordinating department	Department of Mechanics
Course coordinator	prof. Ing. Petr Horyl, CSc., dr.h.c.

Osnova předmětu

Buckling solving by FEM. Basic matrix equation of buckling. Solving critical loading.
Geometric stiffness matrix for bar and beam finite element. Numerical method for solving of critical loading factor.

Non-linear collapse of constructions. Geometric, materiál and structural nonlinearities. Three kinds of stiffness matrix in nonlinear colapse. Basic eguation for equilibrium of internal forces. Example: bar element

Equilibrium path. Path for one DOF. Critical points on path – critical and bifurcation points.
Practical examples. MATLAB procedures.

Newton-Raphson method. Arc-length method and their agorithm.

Povinná literatura

Gambhir .M. L. Stability Analysis and Design of Structures, Springer, 2004, p.
535, ISBN 3-540-20784-8
REDDY, J.N., An Introduction Nonlinear Finite Element Analysis, Oxford
University Press, 2004, p. 463, ISBN 0-19-852529-X
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

Doporučená literatura

WRIGGERS, P., Nichtlineare Finite-Element Metoden, Springer, 2005, p. 495, ISBN
3-540-67747-X

zpět na vyhledávání