Buckling Theory

Type of study	Doctoral
Language of instruction	English
Code	330-0915/04
Abbreviation	TS
Course title	Buckling Theory
Credits	10
Coordinating department	Department of Applied Mechanics
Course coordinator	doc. Ing. Zdeněk Poruba, Ph.D.

Subject syllabus

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.

Literature

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

Advised literature

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

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