SCARA并联机构刚度和动力学分析
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江苏省自然科学基金项目(BK20161192)


Stiffness and Dynamics Analysis of SCARA Parallel Mechanism
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    摘要:

    阐述了一种由2条RSS支链和2条R(SRS)2R支链构成,可实现SCARA运动的新型四自由度高速并联机器人机构。首先,采用方位特征理论(POC)分析了该机构的拓扑结构特征,用矢量法求解了位置反解;其次,运用虚拟弹簧法建立了支链的刚度模型,并求解了支链的静力学方程;再次,利用旋量法得到支链中虚拟关节变形到末端变形的微分映射,从而求得机构的笛卡尔刚度矩阵,根据机构的转动和移动刚度性能指标,分别分析了机构在不同工作平面的刚度特性。最后,推导了机构的主动臂、从动臂和动平台速度、加速度方程,并运用虚功原理建立了机构的动力学模型,通过ADAMS三维模型仿真验证了动力学模型的正确性,为该机构的进一步研究及实际应用奠定了理论基础。

    Abstract:

    There is a wide range of industrial applications for the 4DOF parallel mechanism which can achieve SCARA type output motion (three dimensional translation and one dimensional rotation). A novel fourdegreeoffreedom highspeed parallel robot mechanism for SCARA was proposed, which consisted of two RSS branches and two R(SRS)2R branches. Firstly, the topological structure characteristics such as the POC set of moving platform and mobility were first obtained based on the design theory of position and orientation characteristic (POC) set. Secondly, the virtual spring method was used to establish the stiffness model of the branch and the static of the branch was given. The differential mapping of the virtual joint deformation to the end deformation in the branch was obtained by the spin method and the Cartesian stiffness matrix at the end of the mechanism was obtained according to the static equation. By means of a nondimensionalization of the stiffness matrix, the 6×6 inhomogeneous stiffness matrix was decomposed into two homogeneous submatrices, of which two performance indices, corresponding to the translational and rotational stiffnesses, were defined to evaluate the stiffness behaviors of the manipulators. And the stiffness index analysis of the mechanism was carried out, and the stiffness characteristics of the mechanism in different working planes were analyzed. In addition, the dynamic analysis of the mechanism was performed to solve the velocity and acceleration of the active pair, the passive pair and the moving platform of the mechanism. The dynamic equation of the mechanism was established by using the virtual work principle. Finally, the simulation was compared with the ADAMS threedimensional model simulation to verify the dynamics. The correctness of the modeling laid the foundation for further research and practical application of the organization.

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朱伟,郭倩,马致远,沈惠平,吴广磊. SCARA并联机构刚度和动力学分析[J].农业机械学报,2019,50(10):375-385. ZHU Wei, GUO Qian, MA Zhiyuan, SHEN Huiping, WU Guanglei. Stiffness and Dynamics Analysis of SCARA Parallel Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2019,50(10):375-385.

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  • 收稿日期:2019-03-02
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  • 在线发布日期: 2019-10-10
  • 出版日期: 2019-10-10
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