Titlebook: Contact Mechanics; Proceedings of the 3 João A. C. Martins,Manuel D. P. Monteiro Marques Conference proceedings 2002 Springer Science+Busin

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Solving Rocking Block Problems with Multiple ImpactsIn this paper, we present a solution to the multiple impact problem that may arise in the rocking blocks. We use an approach based on the impulse-momentum methods, the energetic coefficient of restitution, and the impulse transmission ratio.

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Analysis of Eigenvalue Problems Modelling Friction: Sufficient Conditions of Non-Uniqueness for the This study is concerned with the Coulomb frictional contact problem in elastostatics. Introducing a convenient eigenvalue problem, it becomes possible to establish sufficient conditions of non-uniqueness for the continuous model. It can be also proven that these sufficient conditions are fulfilled under appropriate hypotheses.

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On Integrating Stiff Multibody Dynamics with Contact and Frictionear implicit technique. The method is consistent whenever the stiff forces originate in springs and dampers. When the stiffness parameters increase towards infinity the subproblem to be solved in one step approaches the one where the stiff elements are replaced by joints, under the assumption that the friction cone of the limit system is pointed.

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Analysis of Systems with Multiple Frictional Contactsf non-uniqueness and non-existence, a new kind of singularity is detected: coexistence of several stable solutions. Besides, it is shown that in a regular case where a unique solution exists, this solution might be unstable.