一种两自由度5R平面高速并联机器人运动性能及动力学分析

Motion performance and dynamic analysis of a 2-DOF 5R planar high speed parallel robot

  • 摘要: 在传统5R机构的基础上,设计了一种两驱动同轴的两自由度平面并联机器人机构,结构上更加简洁。首先,根据机构位置关系,建立了机构运动学正反解方程,求出雅可比矩阵表达式;其次,在运动学基础上,分析了机构的工作空间、奇异位形和雅可比条件数等运行性能指标,并以各项同性为性能目标确定了机构主、从构件的尺度参数;最后,推导了机构各构件的速度、加速度矢量表达式,根据虚功原理方法建立了机构的动力学方程,以点P给定运动轨迹为目标,计算得到驱动力矩的变化规律。结果表明,该型机器人具有良好的运动性能和高加速性能,为机构的推广应用提供了理论基础。

     

    Abstract: A two DOF planar parallel robot mechanism with two coaxial actuators is designed in this paper, whose structure is more concise than the traditional 5R mechanism.Firstly, the forward and inverse kinematics equations are established according to the position relationship of the mechanism, and the Jacobian matrix expression is obtained.Secondly, on the basis of kinematics, some operational performance indexes of the mechanism are analyzed, which includes workspace, singular configuration and Jacobian condition number.The dimension parameters of the components are determined according to the performance goal of isotropy.Finally, the vector expressions of velocity and acceleration of each component are derived, and the dynamic equation of the mechanism is established according to the principle of virtual work.Taking the given trajectory of point P as the target, the laws of driving torquesare calculated.The results show that the robot has good motion performance and high acceleration performance, which provides a theoretical basis for the popularization and application of the mechanism

     

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