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- W2321626808 abstract "We consider a system of rigid bodies subjected to some non penetration conditions characterized by the inequalities $f_{alpha} (q) ge 0$, $alpha in {1, dots, nu}$, $nu ge 1$, for the configuration $q in mathbb{R}^d$. We assume that there is no adhesion and no friction during contact and we model the behaviour of the system at impact by a Newton's law. Starting from the mechanical description of the problem, we derive two mathematical formulations, using either the configuration or the generalized velocity as unknown. Then a velocity-based time-stepping scheme, inspired by the catching-up algorithms, is presented and its convergence in the multi-constraint case (i.e $nu ge1$) is stated." @default.
- W2321626808 created "2016-06-24" @default.
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- W2321626808 date "2013-04-01" @default.
- W2321626808 modified "2023-09-23" @default.
- W2321626808 title "A velocity-based time-stepping scheme for multibody dynamics with unilateral constraints" @default.
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- W2321626808 doi "https://doi.org/10.3934/dcdss.2013.6.1609" @default.
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