[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 formulae, which leads to elegant results related with consistency, order conditions for constant and variable stepsize methods, as well as global convergence. The algorithm is applied for the simulation of a vehicle semi-active suspension.
Disciplines :
Mechanical engineering Mathematics
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, Germany > NWF III - Institute of Mathematics
Language :
English
Title :
The generalized-alpha scheme as a linear multistep integrator: Towards a general mechatronic simulator
Publication date :
2007
Event name :
ASME 2007 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference
Event place :
Las Vegas, Nevada, United States
Event date :
September 4-7, 2007
Audience :
International
Main work title :
Proceedings of the ASME 2007 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference