Finite Element Method And Its Application

Course guarantor:

Lecturer:

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Supervisor:

Department of Mechanics and Materials

Synopsis:

Basic mathematical formulation of the Finite Element Method. Direct Stiffness Method used in structural mechanics. Evaluation of stiffness matrices for the basic elements using variational principles. Element formulation (bar and beam elements, CST, LST, quadrilateral, tetrahedral and brick elements). Natural coordinates, natural shape functions and isoparametric representation. Numerical integration. Introduction to dynamics. FEM programming.

Requirements:

not defined

Syllabus of lectures:

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Study Objective:

The theory of Finite Element Method applied to structural mechanics and dynamics is explained from engineering rather than from a purely mathematical point of view. The basic theory is explained together with the standard procedures taken in developing FE computer code using higher level programming language (Matlab).

Study materials:

O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method: Volume 1 The Basis, 5th Edition, Butterworth-Heinemann, Oxford. 2000.

K. J. Bathe, Finite Element Procedures, 2nd Edition, Prentice-Hall Inc., New Jersey. 1995.

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Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• navaz. mag. PRE program DS 22/23 (compulsory elective course)
• navaz. mag. PRE program LA 22/23 (nová akreditace) (compulsory elective course)
• navaz. mag. PRE program DS 23/24 (compulsory elective course)
• navaz. mag. PRE program LA 23/24 (compulsory elective course)
• navaz. mag. PRE program DS 24/25 (compulsory elective course)
• navaz. mag. PRE program LA 24/25 (compulsory elective course)