Document Int. J. Simul. Multidisci. Des. Optim. 1, 9-17 (2007)
DOI: 10.1051/ijsmdo:2007002
Bi-First: A simple and efficient algorithm to identify dissipated energy in impact problems
Z.-Q. Feng1, B. Magnain1, J.-M. Cros1 and P. Joli21 Université d'Évry-Val d'Essonne, Laboratoire de Mécanique d'Évry, 40 rue du Pelvoux, 91020 Évry, France
2 Université d'Évry-Val d'Essonne, Laboratoire IBISC, 40 rue du Pelvoux, 91020 Évry, France
(Received 29 May 2007; accepted 1st October 2007; published online12 December 2007)
Abstract
The bi-potential method has been successfully applied for the
modelling of frictional contact problems in static cases. This
paper presents the extension of this method for dynamic analysis
of impact problems with multiple deformable bodies. Instead of
second order algorithms, a first order algorithm is applied for
the numerical integration of the time-discretized equation of
motion. The solution algorithm, named Bi-First, is simple and
efficient. The principle of energy conservation for the given
exemples is well preserved using the algorithm without any
regularization. The numerical results also show clearly the
physical energy dissipation introduced by frictional effects
between the solids in contact.
Key words: Impact -- energy dissipation -- bi-potential method -- time-integration
© ASMDO, EDP Sciences 2007