Engineering Mechanics

International Conference

Proceedings Vol. 16 (2010)


May 10 – 13, 2010, Svratka, Czech Republic
Editors: Igor Zolotarev

Copyright © 2010 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-87012-26-0 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Application of methods for unconstrained optimization in computation of normal contact vector
Kopačka J., Gabriel D., Plešek J., Ulbin M.
pages 67 - +13p., full text

The stability of the contact algorithm is significantly influenced by the local contact search procedure, which consists in the determination of the exact position of the slave node or integration point with respect to a given master segment. For a general quadrilateral contact segment it leads to the numerical solution of minimization problem. In this paper, various method like the Newton-Raphson, the quasi-Newton, the gradient methods and the simplex method for finding the local and global minimizers of this problem are presented. The attention is focused on the the line-search technique which is crucial for a general success of the quasiNewton and the gradient methods. The effectiveness of methods is tested by means of numerical example, which involves bending of two rectangular plates over a cylinder.

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