This HTML5 document contains 47 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
n21http://linked.opendata.cz/ontology/domain/vavai/riv/typAkce/
dctermshttp://purl.org/dc/terms/
n18http://purl.org/net/nknouf/ns/bibtex#
n17http://linked.opendata.cz/resource/domain/vavai/projekt/
n9http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n12http://linked.opendata.cz/ontology/domain/vavai/
n16http://linked.opendata.cz/resource/domain/vavai/zamer/
n6https://schema.org/
shttp://schema.org/
skoshttp://www.w3.org/2004/02/skos/core#
n3http://linked.opendata.cz/ontology/domain/vavai/riv/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n13http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n14http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n8http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n15http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n7http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F61388998%3A_____%2F10%3A00343347%21RIV11-MSM-61388998/
n11http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n5http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n20http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F61388998%3A_____%2F10%3A00343347%21RIV11-MSM-61388998
rdf:type
skos:Concept n12:Vysledek
dcterms:description
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. 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.
dcterms:title
Application of Methods for Unconstrained Optimization in Computation of Normal Contact Vector Application of Methods for Unconstrained Optimization in Computation of Normal Contact Vector
skos:prefLabel
Application of Methods for Unconstrained Optimization in Computation of Normal Contact Vector Application of Methods for Unconstrained Optimization in Computation of Normal Contact Vector
skos:notation
RIV/61388998:_____/10:00343347!RIV11-MSM-61388998
n3:aktivita
n15:Z n15:P
n3:aktivity
P(GA101/07/1471), P(GA101/09/1630), P(ME10114), Z(AV0Z20760514)
n3:dodaniDat
n20:2011
n3:domaciTvurceVysledku
n9:8741883 n9:8034451 n9:4510747
n3:druhVysledku
n5:D
n3:duvernostUdaju
n14:S
n3:entitaPredkladatele
n7:predkladatel
n3:idSjednocenehoVysledku
247452
n3:idVysledku
RIV/61388998:_____/10:00343347
n3:jazykVysledku
n8:eng
n3:klicovaSlova
normal vector; contact; optimization methods
n3:klicoveSlovo
n13:contact n13:optimization%20methods n13:normal%20vector
n3:kontrolniKodProRIV
[EA4F66540F5F]
n3:mistoKonaniAkce
Svratka
n3:mistoVydani
Prague
n3:nazevZdroje
Engineering Mechanics 2010
n3:obor
n11:JC
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
4
n3:projekt
n17:GA101%2F09%2F1630 n17:GA101%2F07%2F1471 n17:ME10114
n3:rokUplatneniVysledku
n20:2010
n3:tvurceVysledku
Kopačka, Ján Ulbin, M. Plešek, Jiří Gabriel, Dušan
n3:typAkce
n21:EUR
n3:zahajeniAkce
2010-05-10+02:00
n3:zamer
n16:AV0Z20760514
s:numberOfPages
13
n18:hasPublisher
Ústav termomechaniky AV ČR
n6:isbn
978-80-87012-26-0