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Application of Methods for Unconstrained Optimization in Computation of Normal Contact Vector
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SYSNO ASEP 0343347 Druh ASEP C - Konferenční příspěvek (mezinárodní konf.) Zařazení RIV D - Článek ve sborníku Název Application of Methods for Unconstrained Optimization in Computation of Normal Contact Vector Tvůrce(i) Kopačka, Ján (UT-L) RID, ORCID
Gabriel, Dušan (UT-L) RID, ORCID
Plešek, Jiří (UT-L) RID, ORCID, SAI
Ulbin, M. (SI)Zdroj.dok. Engineering Mechanics 2010, Book of extended abstracts. - Prague : Institute of Thermomechanics AS CR, v. v. i., 2010 / Zolotarev I. - ISBN 978-80-87012-26-0 Rozsah stran s. 77-89 Poč.str. 13 s. Forma vydání CD ROM - CD ROM Akce ENGINEERING MECHANICS 2010 Datum konání 10.05.2010-13.05.2010 Místo konání Svratka Země CZ - Česká republika Typ akce EUR Jazyk dok. eng - angličtina Země vyd. CZ - Česká republika Klíč. slova normal vector ; contact ; optimization methods Vědní obor RIV JC - Počítačový hardware a software CEP GA101/07/1471 GA ČR - Grantová agentura ČR GA101/09/1630 GA ČR - Grantová agentura ČR ME10114 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy CEZ AV0Z20760514 - UT-L (2005-2011) Anotace The stability of the contact algorithm using the penalty method is significantly affected by choosing of the penalty function. The penalty function is defined like a magnitude of the penetration vector multiplied by the users-defined constant - the penalty parameter. The penetration vector is obtained by solution of the minimum distance problem between the node/Gaussian integration point and the segment of the element. For a general quadrilateral contact segment this task leads to the system of two nonlinear equations. It is shown that the popular Newton-Raphson method is inadvisable for this problem. In this paper, alternative methods like quasi-Newton methods, gradient methods and the simplex method are presented. Especial attention is put on the line-search method that is crucial for a general success of quasi-Newton methods as well as gradient methods. All mentioned methods are tested by means of numerical example, which involves bending of two rectangular plates over a cylinder. Pracoviště Ústav termomechaniky Kontakt Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Rok sběru 2011
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