228-0237 – Introduction to Finite Element Method (ZNKP)

Understanding of basic principles of the Finite Element Method. Ability to use of this method for preparation of simple computational codes. Ability to use this method for solution of basic problems of linear structural mechanics.

In this subject there are introduce the basic principles of the Finite element method. There are introduced energy principles and their use in structural mechanics problems. The Ritz Method and its relations to the Finite Element Method is explained. Derivation of stiffness matrices of simple finite elements is given. Principles of computational model preparation and of result analysis are discussed. The practical part of the subject is based on preparation of simple computational code in a high-level computational language by students and on use of this code for solution of simple problems of structural mechanics.

ZIENKIEWICZ, O. C., Robert L. TAYLOR a J. Z. ZHU. The finite element method: its basis and fundamentals. Seventh edition. Amsterdam: Elsevier, Butterworth-Heinemann, 2013. ISBN 978-1856176330. Russell C. Hibbeler, Structural Analysis (10th Edition), 736 pages, 2017, ISBN-13: 978-0134610672, ISBN-10: 0134610679.

HUGHES, Thomas J. R. The finite element method: linear static and dynamic finite element analysis. Mineola, NY: Dover Publications, 2000. ISBN 978-0486411811. Zienkiewicz, O. C., Taylor, R. L., Zhu: The Finite Element Method: Its Basics and Fundamentals, Butterworth-Heinemann, Burlinghton, 2005