具有完全单边约束的刚体系统动力学的公式和适定性

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences Pub Date : 2001-12-15 DOI:10.1098/rsta.2001.0854

P. Ballard

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引用次数: 29

摘要

将经典的具有完全双边约束的刚体系统动力学理论进行了扩展，从而考虑了完全单边约束。导出了系统的动力学表达式，并得到了最一般可接受的冲击本构方程形式。在数据为解析性的假设下，证明了演化问题的适定性。

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

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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Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences

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