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Equivalent Five-bar Linkages for the Singularity Analysis of Two-DOF Seven-bar Linkages

机译:等效的五杆连杆,用于双DOF七杆连杆的奇异性分析

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Equivalent four-bar linkage has been proved to be a simple and general approach for the identification of the singularity (dead center position) of single-DOF complex planar linkages. Based on the concept of equivalent four-bar linkage, this paper proposes the concept of equivalent five-bar linkage and extend this concept to analyze the singularity (dead center position) of three different topologies of two-DOF seven-bar planar linkages for the first time. The five links chosen from the two-DOF seven-bar linkage compose one equivalent five-bar linkage. A singular position may happen when the three passive joints of one equivalent five-bar linkage become collinear. When the equivalent five-bar linkage is at the singular position, the whole two-DOF seven-bar planar linkage must be also at the position of singularity. The propose method offers another geometric insights for the singularity analysis of two-DOF seven-bar planar linkages and other multiple-DOF planar linkages.
机译:已经证明了等效的四杆连杆是一种简单而一般的方法,可以识别单DOF复杂平面连杆的奇点(死点位置)。基于等效四杆连杆的概念,本文提出了等效的五杆连杆的概念,并扩展了这一概念,分析了三个不同拓扑的奇点(死点位置)为双DOF七杆平面连杆的三种不同拓扑第一次。从双DOF七杆连杆中选择的五个链接组成了一个等效的五条连杆。当一个等效的五浆连杆的三个被动接头变成共线时,可能发生奇异位置。当等效的五条连杆处于奇异位置时,整个双DOF七杆平面连杆必须也在奇点的位置。该提议方法为双DOF七杆平面连杆和其他多自由度平面连杆的奇异性分析提供了另一种几何洞察。

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