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Time-step adaptivit...
Time-step adaptivity in variational integrators with application to contact problems
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- Modin, Klas (författare)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Führer, Claus (författare)
- Lund University,Lunds universitet,Numerisk analys,Forskargrupper vid Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Numerical Analysis,Lund University Research Groups,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- Wiley, 2006
- 2006
- Engelska.
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Ingår i: Zeitschrift für Angewandte Mathematik und Mechanik. - : Wiley. - 0044-2267. ; 86:10, s. 785-794
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Abstract
Ämnesord
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- Variable time-step methods, with general step-size control objectives, are developed within the framework of variational integrators. This is accomplished by introducing discrete transformations similar to Poincares time transformation. While gaining from adaptive time-steps, the resulting integrators preserve the structural advantages of variational integrators, i.e., they are symplectic and momentum preserving. As an application, the methods are utilized for dynamic multibody systems governed by contact force laws. A suitable scaling function defining the step-size control objective is derived.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- contact problems
- variable step-size methods
- variational integrators
- transformations
- Poincare
- time scaling
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- ref (ämneskategori)
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