平行操纵者与一套功能由它的闭合限制定义被联系。在这份报纸,用谎言代数学方法,我们在平行操纵者,他们有闭合功能的第二份订单的关系,和操纵者的配置空间的正切空间的奇特上提供研究。横向的条件标准被使用分析奇特的行为。这给为什么的完全的解说 6R 矛盾的机制在他们的单个配置工作,并且允许在配置空格奇特上获得卓见并且为平行操纵者选择足够的设计参数。
Parallel manipulator is associated with a set of functions defined by its closure constraints. In this paper, using Lie algebra method, we provide a study on the singularities of parallel manipulators, their relations with the second order of the closure functions, and the tangent space of the configuration space of the manipulator. The transverse condition criterion is applied to analyze the behavior of the singularities. This gives a downright explication why the 6R paradoxical mechanisms work in their singular configurations, and allows to gain insight on configuration space singularities and to choose the adequate design parameters for the parallel manipulator.