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- W4238286325 abstract "As in Paoli (Arch Rational Mech Anal, 2010), we consider a discrete mechanical system with a non-trivial mass matrix subjected to perfect unilateral constraints described by geometrical inequalities $${f_{alpha}(q) geqq 0, alpha in {1, ldots, nu }, (nu geqq 1)}$$ , but we assume now that the transmission of the velocities at impacts is governed by Newton’s Law with a coefficient of restitution $${e in (0, 1]}$$ (so that the impact is partially elastic). We generalize the time-discretization of the second order differential inclusion describing the dynamics proposed in Paoli (Arch Rational Mech Anal, 2010) to this case and, once again, we prove its convergence." @default.
- W4238286325 created "2022-05-12" @default.
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- W4238286325 date "2010-04-29" @default.
- W4238286325 modified "2023-09-26" @default.
- W4238286325 title "Time-Stepping Approximation of Rigid-Body Dynamics with Perfect Unilateral Constraints. II: The Partially Elastic Impact Case" @default.
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- W4238286325 doi "https://doi.org/10.1007/s00205-010-0312-z" @default.
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