Consider a point moving with respect to a rigid body. The system made up of these two elements is deformable since the distance of the point and the body changes. Because the system is deformable, we define strain rates and interior forces. The latter are percussions and forces defined by their virtual work. The equations of motion are derived from the principle of virtual work. The constitutive laws for the interior percussions and forces are the other equations which describe the evolution of the system, in particular the collisions which occur between the point and the body. Examples illustrate the ability of the theory to analyse practical situations.
KeywordsRigid Body Virtual Work Multiple Collision Body Change Dissipative Force
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- Cholet, C., Chocs de solides. Mémoire de DEA., Université P. et M. Curie, 1994.Google Scholar
- Moreau, J.J., 123456 Bounded variation in time in Topics in non smooth mechanics, J.J. Moreau, P.D. Panagiotopoulos, G. Strang éditeurs, Birkhauser, Basel, 1988, Chapitre I, p.1–71.Google Scholar
- Moreau, J.J., Unilateral contact and dry friction in finite freedom dynamics, in Non smooth mechanics and applications, J.J. Moreau, P.D. Panagiotopoulos éditeurs, Springer,Wien, 1988, p.1–81.Google Scholar
- Jean, M., J.J.Moreau, J.J., Dynamics of elastic or rigid bodies with frictional contact: numerical methods. Mécanique, modélisation et dynamique des matériaux, Publication du Laboratoire de Mécanique etd’Acoustique, 124, R.H. Blanc, M. Raous, P. Suquet, Editeurs, Marseille 1991, p.9–29.Google Scholar