提出了一种模块化混联超冗余度机器人的位置正解的分析方法。利用Sylvester结式消元法对其基本模块3-RPS并联机构的位置正解进行符号求解,从而得到其符号解;然后利用齐次坐标变换矩阵得到n(3-RPS)输出平台和固定平台的位置关系。通过一个4(3-RPS)型超冗余度机器人进行了位置和姿态的实例分析,证明了该方法的有效性。
A method for the forward position solution of the modular hybrid hyper - redundant robot is presented. The symbolic solution for the forward position of basic module 3 - RPS parallel manipulator is obtained by using the Sylvester resultant elimination method. The output platform and fixed platform position relationship of the n (3 - RPS) manipulator is gotten by the homogeneous coordinate transformation matrix. The method, using a numerical examples for the analysis of the position and orientation of the 4(3 - RPS) hyper- redundant, is given to demonstrate the validity of the method symbolic solution.