Formulation and well-posedness of the dynamics of rigid-body systems with perfect unilateral constraints - Archive ouverte HAL
Journal Articles Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Year : 2001

Formulation and well-posedness of the dynamics of rigid-body systems with perfect unilateral constraints

Abstract

The classical theory of rigid-body systems dynamics with perfect bilateral constraints is extended in order to take perfect unilateral constraints into account. A systematic formulation of the dynamics is derived and the most general admissible form of the impact-constitutive equation is obtained. Well-posedness of the evolution problem is proved under the assumption that the data are analytic.
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Dates and versions

hal-01722467 , version 1 (04-03-2018)

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Patrick Ballard. Formulation and well-posedness of the dynamics of rigid-body systems with perfect unilateral constraints. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2001, 359 (1789), pp.2327-2346. ⟨10.1098/rsta.2001.0854⟩. ⟨hal-01722467⟩
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