337-0919/02 – Buckling Theory (TS)
| Gurantor department | Department of Mechanics | Credits | 10 |
| Subject guarantor | prof. Ing. Petr Horyl, CSc., dr.h.c. | Subject version guarantor | prof. Ing. Petr Horyl, CSc., dr.h.c. |
| Study level | postgraduate | Requirement | Choice-compulsory |
| Year | | Semester | winter + summer |
| | Study language | Czech |
| Year of introduction | 2013/2014 | Year of cancellation | 2014/2015 |
| Intended for the faculties | FS | Intended for study types | Doctoral |
Subject aims expressed by acquired skills and competences
Students will extend and make deeper their theoretical knowledge of the
buckling theory and the numerical procedures that lead to the practical use
of the method. Especially the problematics of solving nonlinear buckling
problems by FEM will be solved.
Teaching methods
Lectures
Individual consultations
Project work
Summary
Students will extend and make deeper their theoretical knowledge of the
buckling theory and the numerical procedures that lead to the practical use
of the method. Especially the problematics of solving nonlinear buckling
problems by FEM will be solved.
Compulsory literature:
Recommended literature:
WRIGGERS, P., Nichtlineare Finite-Element Metoden, Springer, 2005, p. 495, ISBN
3-540-67747-X
Additional study materials
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
Students work in writing two larger themes from the course sylabus.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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