330-0915/01 – Buckling Theory (TS)

Gurantor departmentDepartment of Applied MechanicsCredits10
Subject guarantordoc. Ing. Zdeněk Poruba, Ph.D.Subject version guarantorprof. Ing. Petr Horyl, CSc., dr.h.c.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFSIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
HOR80 prof. Ing. Petr Horyl, CSc., dr.h.c.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 25+0
Combined Examination 25+0

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:

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

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

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

Combined form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2019/2020 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2018/2019 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2018/2019 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2017/2018 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2017/2018 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2016/2017 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2016/2017 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2016/2017 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2015/2016 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2015/2016 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2015/2016 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner