METH0D USED IN SINGULARITY RESEARCH BASED 0N KINEMATICS AND ITS EXAMPLE IN APPLICATION
METH0D USED IN SINGULARITY RESEARCH BASED 0N KINEMATICS AND ITS EXAMPLE IN APPLICATION作者机构:Robotics Research CenterYanshan University Qinhuangdao 066004
出 版 物:《Chinese Journal of Mechanical Engineering》 (中国机械工程学报(英文版))
年 卷 期:2004年第17卷第2期
页 面:161-165页
核心收录:
学科分类:08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程]
基 金:This project is supported by National Natural Science Foundation of China (No.50275129)
主 题:Parallel manipulator 3-RPS Kinematic method Singularity
摘 要:First the kinematic principle of singularity is proved, that is theintersecting point of three normal planes of three velocities at three non-collinear points in arigid body lying in the plane determined by the three corresponding points. It is a sufficient andnecessary condition that the velocities of three non-collinear points in a rigid body can determinea screw motion of the body. Based on this principle, a simple and direct new method to distinguishthe singularity of the parallel manipulator is derived. With this new kinematic method, the 3-RPSparallel manipulator is studied. Its singularity loci are obtained for some orientations for thefirst time and verified with Grassmann line geometry and screw theory and the force Jacobian matrix.