Reference : On the numerical damping of time integrators for coupled mechatronic systems
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Mechanical engineering
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/2268/19989
On the numerical damping of time integrators for coupled mechatronic systems
English
Bruls, Olivier mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures >]
Golinval, Jean-Claude mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures >]
2008
Computer Methods in Applied Mechanics & Engineering
Elsevier Science
197
6-8
577-588
Yes (verified by ORBi)
International
0045-7825
Lausanne
[en] generalized-alpha scheme ; coupled problems ; flexible multibody dynamics ; mechatronics ; numerical damping
[en] The generalized-alpha time integrator is considered for the simulation of mechatronic systems. In this context, the fundamental concept of numerical damping is analysed for coupled sets of first and second-order differential-algebraic equations. First, it appears that the algebraic variables do not influence the spectral properties of the dynamic variables. Second, we demonstrate that the coupling between the dynamic variables does not influence the high-frequency spectral response, so that the numerical damping can be determined as usual from elementary characteristic polynomials. Those results are exploited to assess the stability properties of the scheme and to select an algorithm with optimal damping properties.
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/19989
10.1016/j.cma.2007.08.007

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