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Chapitre D'ouvrage Année : 2002

Formulation and Well-Posedness of Unilateral Multibody Dynamics

Résumé

The classical theory of rigid bodies systems undergoing perfect bilateral constraints has received firm mathematical foundations for a long time. We extend it to the case where there are perfect unilateral constraints also. The formulation follows the line initiated by Schatzman (1978) and Moreau (1983). We give a parametrization-free formulation and try to identify the most general form of impact constitutive equation which is compatible with well-posedness. Then, well-posedness is proved under the assumption of analyticity of the data, since it is known, thanks to Bressan (1960) and Schatzman (1978), that uniqueness does not hold in the C∞ setting.
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Dates et versions

hal-03893558 , version 1 (11-12-2022)

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Patrick Ballard. Formulation and Well-Posedness of Unilateral Multibody Dynamics. Contact Mechanics, 103, Springer Netherlands, pp.25-32, 2002, Solid Mechanics and Its Applications, ⟨10.1007/978-94-017-1154-8_3⟩. ⟨hal-03893558⟩
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