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PRRRRRP redundant planar parallel manipulator: Kinematics, workspace and singularity analysis

机译:PRRRRRP冗余平面并联机械手:运动学,工作空间和奇异性分析

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This paper presents a kinematically redundant four actuated-joint degrees of freedom planar parallel manipulator. The workspace of the proposed manipulator is larger than of the non-redundant counterpart and vast majority of its singularities can be avoided by using kinematic redundancy. First, the forward and inverse displacement problems of the manipulator are solved and its workspace is obtained numerically. Then, the Jacobian matrices are developed and the inverse and direct kinematic singularities are identified and their geometrical interpretations are illustrated. Finally, based on a geometrical measure of proximity to singular configurations, a cost function is defined which can be used to obtain an optimal solution for the inverse displacement problem of the manipulator.
机译:本文提出了一种运动学上冗余的四个驱动关节自由度平面并联机械手。所提出的机械手的工作空间大于非冗余机械手的工作空间,并且通过使用运动学冗余可以避免其绝大部分奇异之处。首先,解决了机械手的正向和反向位移问题,并通过数值获得了其工作空间。然后,发展了雅可比矩阵,并确定了逆向和正向运动学奇点,并说明了它们的几何解释。最后,基于接近奇异配置的几何度量,定义了成本函数,该成本函数可用于获取机械手反向位移问题的最佳解决方案。

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