GEOMS: A software package for the numerical integration of general model equations of multibody systems
Please always quote using this URN:urn:nbn:de:0296-matheon-4082
- In this paper we present the new numerical algorithm GEOMS for the numerical integration of the most general form of the equations of motion of multibody systems, including nonholonomic constraints and possible redundancies in the constraints, as they may appear in industrial applications. Besides the numerical integration it offers some additional features like stabilization of the model equations, use of different decomposition strategies, or checking and correction of the initial values with respect to their consistency. Furthermore, GEOMS preserves hidden constraints and (possibly) existing solution invariants if they are provided as equations. We will also demonstrate the performance and the applicability of GEOMS for two mechanical examples of different degrees of complexity.
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| Author: | Andreas Steinbrecher |
|---|---|
| URN: | urn:nbn:de:0296-matheon-4082 |
| Referee: | Volker Mehrmann |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2007/08/29 |
| Release Date: | 2007/08/29 |
| Tag: | |
| MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Lxx Ordinary differential equations / 65L80 Methods for differential-algebraic equations |
| 70-XX MECHANICS OF PARTICLES AND SYSTEMS (For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX) / 70Exx Dynamics of a rigid body and of multibody systems / 70E55 Dynamics of multibody systems | |
| Preprint Number: | 400 |
