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rdf:type
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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. (en)
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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 (en)
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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 (en)
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skos:notation
| - RIV/61388998:_____/10:00343347!RIV11-MSM-61388998
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA101/07/1471), P(GA101/09/1630), P(ME10114), Z(AV0Z20760514)
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/61388998:_____/10:00343347
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - normal vector; contact; optimization methods (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...v/mistoKonaniAkce
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http://linked.open...i/riv/mistoVydani
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http://linked.open...i/riv/nazevZdroje
| - Engineering Mechanics 2010
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
| |
http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
| |
http://linked.open...iv/tvurceVysledku
| - Plešek, Jiří
- Gabriel, Dušan
- Kopačka, Ján
- Ulbin, M.
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http://linked.open...vavai/riv/typAkce
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http://linked.open.../riv/zahajeniAkce
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http://linked.open...n/vavai/riv/zamer
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number of pages
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http://purl.org/ne...btex#hasPublisher
| - Ústav termomechaniky AV ČR
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https://schema.org/isbn
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