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Authors: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
Publication title:Semiexplicit Numerical Integration by Splitting with Application to Dynamic Multibody Problems with Contacts
Conference:The 48th Scandinavian Conference on Simulation and Modeling (SIMS 2007), 30-31 October, 2007, Göteborg (Särö)
Publication type: Abstract and Fulltext
Issue:027
Article No.:006
Abstract: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.
Language:English
Year:2007
No. of pages:17
Pages:49-65
Series:Linköping Electronic Conference Proceedings
ISSN (print):1650-3686
ISSN (online):1650-3740
File:http://www.ep.liu.se/ecp/027/006/ecp072706.pdf
Available:2007-12-21
Publisher:Linköping University Electronic Press, Linköpings universitet

REFERENCE TO THIS PAGE
Klas Modin, Dag Fritzson, Claus Führer (2007). Semiexplicit Numerical Integration by Splitting with Application to Dynamic Multibody Problems with Contacts, The 48th Scandinavian Conference on Simulation and Modeling (SIMS 2007), 30-31 October, 2007, Göteborg (Särö) http://www.ep.liu.se/ecp_article/index.en.aspx?issue=027;article=006 (accessed 7/29/2014)