A COMPLETE SOLUTION FOR THE INVERSE KINEMATIC PROBLEM OF THE GENERAL 6R ROBOT MANIPULATOR

被引:23
作者
LEE, HY
WOERNLE, C
HILLER, M
机构
[1] Department of Mechanical Engineering, Beijing University of Posts and Telecommunications, Beijing
[2] Institute A of Mechanics, University of Stuttgart, Stuttgart, 7000, Pfaffenwaldring 9
[3] Department of Mechanics, University of Duisburg, Duisburg, 4100
[4] University of Stuttgart, Institute A of Mechanics
关键词
D O I
10.1115/1.2912808
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The inverse kinematic problem of the general 6R robot manipulator is completely solved by means of a 16th degree polynomial equation in the tangent of the half-angle of a revolute joint. An algorithm is developed to compute the desired joint angles of all possible configurations of the kinematic chain for a given position of the end-effector. Examples for robots with maximal 16 different configurations show that the polynomial degree 16 is the lowest possible for the general 6R robot manipulator. Further, a numerical method for the determination of the boundaries of the workspace and its subspaces with different numbers of configurations is developed. These boundaries indicate the singular positions of the end-effector.
引用
收藏
页码:481 / 486
页数:6
相关论文
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