Reference : On the numerical damping of time integrators for coupled mechatronic systems

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others Engineering, computing & technology : Mechanical engineering Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/2268/19989

Title :	On the numerical damping of time integrators for coupled mechatronic systems
Language :	English
Author, co-author :	Bruls, Olivier [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures >]
	Golinval, Jean-Claude [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures >]
Publication date :	2008
Journal title :	Computer Methods in Applied Mechanics & Engineering
Publisher :	Elsevier Science
Volume :	197
Issue/season :	6-8
Pages :	577-588
Audience :	International
ISSN :	0045-7825
City :	Lausanne
Keywords :	[en] generalized-alpha scheme ; coupled problems ; flexible multibody dynamics ; mechatronics ; numerical damping
Abstract :	[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.
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/2268/19989
DOI :	10.1016/j.cma.2007.08.007

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