三自由度3-CS并联平台机构的运动学分析

 首先介绍了一种新型的并联机构——三自由度 3-CS并联平台机构的模型。应用螺旋理论分析了该机构的瞬时运动。同时对该机构进行了运动学分析 :给出了操作平台的输出运动参数的 3个运动约束方程和3个独立输出运动参数与 3个独立运动输入参数之间的一阶速度影响系数矩阵,最后给出了求解机构位置正、反解的计算方法。

KINEMATIC ANALYSIS OF A 3-CS IN-PARALLEL PLATFORM MECHANISM WITH THREE-DEGREE-OF-FREEDOM

With the development of parallel mechanisms research, spatial imperfect-DOF parallel mechanisms especially some constrained 3-DOF parallel mechanisms have received more attention for the advantages of their simple structure, easy control and low cost. In this paper, a novel model of constrained 3-DOF parallel manipulator—3-CS in-parallel platform mechanism is introduced firstly. The instantaneous possible motion characteristics for this mechanism are analyzed in detail by applying the screw theory. In addition, the first order kinematic analysis of the 3-CS mechanism is discussed thoroughly, which involves deriving three motion constraint equations for the output motions of the manipulator and formulating the kinematic influence matrix (also called Jacobian of the mechanism) reflecting the velocity relationship between three independent input motions and three independent output motions in a closed form. At last, the closed-form solutions are developed for both the inverse and forward position kinematics.