Kinematics Analysis of 3-RRPS Parallel Mechanism

Cheng-peng Yu, Bin Li, Jiaqi Zhu
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Abstract

In this paper, the kinematics of the 3-RRPS parallel mechanism was deeply studied, and the kinematics mathematical model of the parallel mechanism was obtained by using the method of coordinate system transformation. The inverse solution of the parallel mechanism pose was obtained by solving this equation, and the nonlinear equation was obtained from the inverse solution. The forward solution of the attitude of the parallel mechanism was calculated by solving this nonlinear equation with Jacobian matrix and Newton iterative algorithm, which is an approximate solution. Finally, we verified the correctness of the forward kinematics solution through MATLAB.
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3-RRPS并联机构运动学分析
本文对3-RRPS并联机构的运动学进行了深入研究,利用坐标系变换的方法得到了并联机构的运动学数学模型。通过求解该方程得到并联机构位姿的反解,并由反解得到非线性方程。利用雅可比矩阵和牛顿迭代算法求解该非线性方程,得到了并联机构姿态的正解,为近似解。最后,通过MATLAB验证了正运动学解的正确性。
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