[en] This paper presents a consistent formulation of the generalized-alpha time integration scheme for mechanical and mechatronic systems. The algorithm can deal with a nonconstant mass matrix, controller dynamics; and kinematic constraints. The theoretical background relies on the analogy with linear multistep formulas, which leads to elegant results related to consistency, order conditions for constant and variable step-size methods, as well as global convergence. Those results are illustrated for a controlled spring-mass system, and the method is also applied for the simulation of a vehicle semi-active suspension.
Disciplines :
Mechanical engineering
Author, co-author :
Bruls, Olivier ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques
Arnold, Martin; Martin Luther University Halle-Wittenberg Halle > NWF III - Institute of Mathematics
Language :
English
Title :
The generalized-alpha scheme as a linear multistep integrator: Toward a general mechatronic simulator
Publication date :
2008
Journal title :
Journal of Computational and Nonlinear Dynamics
ISSN :
1555-1415
eISSN :
1555-1423
Publisher :
Asme-Amer Soc Mechanical Eng, New York, United States - New York
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