Article | The 48th Scandinavian Conference on Simulation and Modeling (SIMS 2007); 30-31 October; 2007; Göteborg (Särö) | Semiexplicit Numerical Integration by Splitting with Application to Dynamic Multibody Problems with Contacts

Title:
Semiexplicit Numerical Integration by Splitting with Application to Dynamic Multibody Problems with Contacts
Author:
Klas Modin: SKF Engineering Research Centre MDC, RKs–2, Sweden Dag Fritzson: SKF Engineering Research Centre MDC, RKs–2, Sweden Claus Führer: Centre for Mathematical Sciences, Lund University, Sweden
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Year:
2007
Conference:
The 48th Scandinavian Conference on Simulation and Modeling (SIMS 2007); 30-31 October; 2007; Göteborg (Särö)
Issue:
027
Article no.:
006
Pages:
49-65
No. of pages:
17
Publication type:
Abstract and Fulltext
Published:
2007-12-21
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


Numerical integration is considered for second order differential equations on the form where Ais significantly more expensive to evaluate than B; and B is stiff (highly oscillatory) in comparison with A. Examples of such problem are multibody problem with contact forces acting between bodies; and constraints formulated as penalty forces. Based on the splitting A+B of the acceleration field; a numerical integration algorithm; which is explicit in the A–part and implicit in the B–part; is suggested. Consistency and linear stability analysis of the proposed method is carried out. Numerical examples with the proposed method is carried out for two simple test problems; and for a complex multibody model of a rotating ball bearing. Comparison with conventional implicit methods is given for each example. The results indicate that the proposed method is more efficient; in terms of number of evaluations of A; at the same accuracy level.

The 48th Scandinavian Conference on Simulation and Modeling (SIMS 2007); 30-31 October; 2007; Göteborg (Särö)

Author:
Klas Modin, Dag Fritzson, Claus Führer
Title:
Semiexplicit Numerical Integration by Splitting with Application to Dynamic Multibody Problems with Contacts
References:

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The 48th Scandinavian Conference on Simulation and Modeling (SIMS 2007); 30-31 October; 2007; Göteborg (Särö)

Author:
Klas Modin, Dag Fritzson, Claus Führer
Title:
Semiexplicit Numerical Integration by Splitting with Application to Dynamic Multibody Problems with Contacts
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