关于刚体系统的无摩擦碰撞模型

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences Pub Date : 2001-12-15 DOI:10.1098/rsta.2001.0857

C. Glocker

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引用次数: 89

摘要

本文综述了刚体动力学中的无摩擦碰撞问题。在建立了接触运动学方程和碰撞方程后，对单个碰撞点以不等式形式表述了牛顿和泊松的碰撞定律。这种情况通过叠加扩展到多触点构型。叠加的概念和单次接触的方程定义了机械碰撞理论。它只在由几个物理假设所规定的一定的限制框架内有效，这些假设在一定程度上是讨论的。

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On frictionless impact models in rigid-body systems

The paper reviews the frictionless collision problem in rigid–body dynamics. After having established the contact kinematical equations and the impact equations, Newton's and Poisson's impact laws are stated in inequality form for one collision point. This situation is extended by superposition to multi–contact configurations. The concept of superposition together with the equations for a single contact defines the mechanical impact theory. It is valid only within a certain restricted framework specified by several physical assumptions, which are discussed to some extent.

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

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