Time-step adaptivity in variational integrators with application to contact problems
Författare
Summary, in English
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.
Avdelning/ar
- Matematik LTH
- Numerical Analysis
Publiceringsår
2006
Språk
Engelska
Sidor
785-794
Publikation/Tidskrift/Serie
Zeitschrift für Angewandte Mathematik und Mechanik
Volym
86
Issue
10
Dokumenttyp
Artikel i tidskrift
Förlag
John Wiley & Sons Inc.
Ämne
- Mathematics
Nyckelord
- contact problems
- variable step-size methods
- variational integrators
- transformations
- Poincare
- time scaling
Status
Published
Forskningsgrupp
- Numerical Analysis
ISBN/ISSN/Övrigt
- ISSN: 0044-2267