王奇志, 徐心和. 基于符号计算研究一类6-SPS并联机器人运动学正解问题[J]. 机器人, 1999, 21(2): 117-121..
WANG Qizhi, XU Xinhe. THE STUDY OF THE DIRECT KINEMATICS FOR A CLASS OF 6-SPS PARALLEL ROBOT BASED ON SYMBOLIC COMPUTATION. ROBOT, 1999, 21(2): 117-121..
Abstract：The direct kinematics for parallel robot is important and difficult problem. In this paper the direct kinematics for a class of 6-SPS parallel manipulator is studied by symbolic computation approach and Dialytic elimination method. Lead to a polynomial equation in one variable, the analytic solutions of the direct kinematics are derived. Then the workspace determined, the all real solutions are given. The method is suitable to the direct kinematics of a general 6-SPS, parallel manipulator.
1 Bernard Roth. Computations in Kinematics. Angeles J et al. (eds). Computational Kinematics, Kluwer Academic Publishers. Printed in the Netherlands, 1993: 3～14 2 Wu Wenda, Huang Yuzhen. The Direct Kinematic Solution of the Planar Stewart Platform with Coplanar Ground Points. Mathematics-mechanization Research Preprints, 1994,12: 61～70 3 Griffis M, Duffy J. A Forward Displacement Analysis of a Class of Stewart Platforms. Journal of Robotic Systems, 1989: 703～720 4 Merlet J P. Direct Kinematics and Assembly Modes of Parallel Manipulators. The International Journal of Robotics Research, 1992,11(2): 150～162 5 黄真编著. 空间机构学.机械工业出版社,1989 6 Sreenivasan S V, Waldron K J. Closed-form Direct Displacement Analysis of a 6-6 Stewart Platform. Mechanism Machine Theory, 1994,29(6): 855～864 7 Fuan Wen and Chonggao Liang. Displacement Analysis of the 6-6 Stewart Platform Mechanisms. Mechanism Machine Theory, 1994,29(4): 547～557.
