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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| Published in | Computer methods in applied mechanics and engineering Vol. 195; no. 50-51; pp. 6891 - 6908 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
15.10.2006
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Ulbrich, Heinz Foerg, Martin Pfeiffer, Friedrich |
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| Keywords | Unilateral contacts Inequality constraints Time stepping Augmented Lagrangian Non-smooth multibody dynamics |
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Methods Engrg. doi: 10.1002/(SICI)1097-0207(19960815)39:15<2673::AID-NME972>3.0.CO;2-I contributor: fullname: Stewart – start-page: 269 year: 1992 ident: 10.1016/j.cma.2005.08.012_bib18 article-title: A special Newton-type optimization method publication-title: Optimization doi: 10.1080/02331939208843795 contributor: fullname: Fischer – ident: 10.1016/j.cma.2005.08.012_bib12 – year: 1969 ident: 10.1016/j.cma.2005.08.012_bib22 article-title: A method for nonlinear constraints in minimization problems contributor: fullname: Powell – volume: vol. 302 year: 1988 ident: 10.1016/j.cma.2005.08.012_bib4 article-title: Unilateral contact and dry friction contributor: fullname: Moreau |
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