Geometry and Dynamics of Planar Linkages
Geometry and Dynamics of Planar Linkages
复制标题
平面连杆的几何和动力学
DOI：
10.1007/s00220-012-1521-0
复制
发表时间：
2013
影响因子：
2.4
通讯作者：
M. Pollicott
中科院分区：
文献类型：
--
作者：
M. Magalhaes;M. Pollicott
本文提出了一种描述一类简单理想化平面连杆机构构型空间几何和曲率的方法。这是基于确定典型地嵌入到欧几里德空间中的这种构形空间的曲率，然后可以通过相关的测地线流来理解这种连杆的动力学行为。我们的目标是提出一种原则上可以应用于许多不同例子的方法。
In this article we present an approach to describing the geometry and curvature of the configuration spaces of a class of simple idealized planar linkages. This is based on determining the curvature of such configuration spaces canonically embedded into Euclidean space, and then the behaviour of the dynamics of such linkages can be understood via the associated geodesic flow. Our objective is to present a method which, in principle, can be applied to many different examples.