000001782 001__ 1782
000001782 005__ 20141118153455.0
000001782 04107 $$acze
000001782 046__ $$k2010-05-10
000001782 100__ $$aKopačka, J.
000001782 24500 $$aApplication of methods for unconstrained optimization in computation of normal contact vector

000001782 24630 $$n16$$pEngineering Mechanics 2010
000001782 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Prague
000001782 506__ $$arestricted
000001782 520__ $$2eng$$aThe 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.

000001782 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000001782 653__ $$a

000001782 7112_ $$aEngineering Mechanics 2010$$cSvratka (CZ)$$d2010-05-10 / 2010-05-13$$gEM2010
000001782 720__ $$aKopačka, J.$$iUlbin, M.$$iPlešek, J.$$iGabriel, D.
000001782 8560_ $$ffischerc@itam.cas.cz
000001782 8564_ $$s2217002$$uhttps://invenio.itam.cas.cz/record/1782/files/Kopacka-077-PT.pdf$$y
             Original version of the author's contribution as presented on CD, SOL.
            
000001782 962__ $$r1750
000001782 980__ $$aPAPER