Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 785-794 |
| Journal | Zeitschrift für Angewandte Mathematik und Mechanik |
| Volume | 86 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2006 |
Bibliographical note
The information about affiliations in this record was updated in December 2015.The record was previously connected to the following departments: Numerical Analysis (011015004)
Subject classification (UKÄ)
- Mathematical Sciences
Free keywords
- contact problems
- variable step-size methods
- variational integrators
- transformations
- Poincare
- time scaling