Numerical aspects of non-smooth multibody dynamics

The theory of non-smooth multibody dynamics with unilateral contacts is now well established, for example in terms of measure equations of motion added by complementarities or formulated with the help of differential inclusions. Most researchers today focus on numerical methods for solving these sys...

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Bibliographic Details
Published inComputer methods in applied mechanics and engineering Vol. 195; no. 50-51; pp. 6891 - 6908
Main Authors Pfeiffer, Friedrich, Foerg, Martin, Ulbrich, Heinz
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.10.2006
Subjects
Augmented Lagrangian
Inequality constraints
Non-smooth multibody dynamics
Time stepping
Unilateral contacts
Unilateral contacts
Inequality constraints
Time stepping
Augmented Lagrangian
Non-smooth multibody dynamics
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Summary:The theory of non-smooth multibody dynamics with unilateral contacts is now well established, for example in terms of measure equations of motion added by complementarities or formulated with the help of differential inclusions. Most researchers today focus on numerical methods for solving these systems, because computing times especially for large systems are a problem. Time-stepping schemes for time-integration, pivoting or iterative algorithms for solving the complementarity problem and the Augmented Lagrangian approach are methods of increasing numerical efficiency for large systems. The paper describes new findings for unilateral multibody systems and discusses two large industrial examples, namely the dynamics of a roller coaster and the behavior of a drop tower featuring hydraulic components.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2005.08.012