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| Reference : Variable step-size solvers for coupled DAEs in mechatronic applications |
| Scientific congresses and symposiums : Paper published in a book | |||
| Physical, chemical, mathematical & earth Sciences : Mathematics Engineering, computing & technology : Computer science Engineering, computing & technology : Mechanical engineering | |||
| http://hdl.handle.net/2268/27086 | |||
| Variable step-size solvers for coupled DAEs in mechatronic applications | |
| English | |
Bruls, Olivier  [Université de Liège - ULg > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques >] | |
| Arnold, Martin [Martin Luther University Halle-Wittenberg > Institute of Mathematics > > >] | |
| May-2008 | |
| 4th International Conference on Advanced Computational Methods in Engineering (ACOMEN) – Book of Abstracts | |
| No | |
| International | |
| 4th International Conference on Advanced Computational Methods in Engineering (ACOMEN) | |
| 05-2008 | |
| [en] step-size solvers ; coupled DAEs ; mechatronic applications | |
| [en] This work addresses a variable step-size formulation of the generalized- time integration scheme
for mechanical and mechatronic systems represented by coupled differential-algebraic equations (DAEs). In previous publications, a variant of the generalized- alpha algorithm has been proposed, which is able to deal with a non-constant mass matrix, controller dynamics and kinematic constraints in a consistent way. We have shown that this fixed step-size method can be used to solve efficiently industrial problems. The present work focuses on variable step-size schemes. It is well-known that classical formulations of the generalized-alpha method are no more second-order accurate in this case. We argue that second-order accuracy can be recovered provided a modification of the coefficients of the method. Actually, the value of the coefficients should be modified at each time step according to a simple update formula. This approach can thus be implemented very easily in an existing code. We also report practical experience on the implementation of the method. A strategy for the selection of the step-size is described and the importance of a scaling of the equations and unknowns is highlighted. A number of examples and applications are presented in order to illustrate those results. | |
| Researchers ; Professionals ; Students | |
| http://hdl.handle.net/2268/27086 |
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