关于刚体系统的单侧约束运动

本文研究了一大类刚体系统的单侧约束运动的局部和整体性质。主要结论是;局部地,这类系统的运动相当于某带过黎曼流形上的质点的运动;整体地,在能量守恒的假定下。这类系统相当于某带边黎曼流形上的台球系统。

On Unilaterally Constrained Motions of Rigid Bodies Systems

In this paper, the unilaterally constrained motions of a large class of rigid bodies systems are studied, both locally and globally. The main conclusion is that, locally, such a system behaves like a particle in a Riemannian manifold with boundary; globally, under the assumption of energy conservation, the system behaves like a billiard system over a Riemannian manifold With boundary.