On the numerical damping of time integrators for coupled mechatronic systems

Bruls, Olivier; Golinval, Jean-Claude

doi:10.1016/j.cma.2007.08.007

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On the numerical damping of time integrators for coupled mechatronic systems

Bruls, Olivier; Golinval, Jean-Claude

2008 • In Computer Methods in Applied Mechanics and Engineering, 197 (6-8), p. 577-588

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https://hdl.handle.net/2268/19989

DOI
10.1016/j.cma.2007.08.007

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Keywords :

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.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others
Mechanical engineering
Mathematics

Author, co-author :

Bruls, Olivier ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures

Golinval, Jean-Claude ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures

Language :

English

Title :

On the numerical damping of time integrators for coupled mechatronic systems

Publication date :

2008

Journal title :

Computer Methods in Applied Mechanics and Engineering

ISSN :

0045-7825

eISSN :

1879-2138

Publisher :

Elsevier Science, Lausanne, Switzerland

Volume :

197

Issue :

6-8

Pages :

577-588

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 26 August 2009

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