低耦合度且部分解耦的3T1R并联机构设计与分析
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国家自然科学基金项目(51375062、51475050)、江苏省重点研发计划项目(BE2015043)和江苏省绿色过程装备重点实验室项目


Design and Analysis for Partially Decoupled 3T1R Parallel Mechanism with Low Coupling Degree
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    摘要:

    三平移一转动(3T1R)并联机构具有拓扑结构复杂、耦合度高、输入-输出运动不解耦,且易出现奇异位置等问题。根据基于方位特征(Position and orientation characteristic,POC)方程的并联机构拓扑设计理论和和冗余支链消除奇异位置原理,首先,提出了一种含冗余支链的低耦合度、运动解耦、大转动能力的3T1R并联操作手新机构;其次,对其进行拓扑结构分析,主要包括POC集、自由度、耦合度以及运动解耦性分析;再次,建立了基于序单开链法运动学建模原理的位置正解求解模型,并应用一维搜素方法求解了该并联机构的位置正解;基于导出的机构位置逆解,分析了机构的工作空间、转动能力及奇异性条件;阐明了冗余支链可避免奇异位置,并能增加机构刚度;最后,给出了机构动平台的速度、加速度变化规律。本文为该操作手的机械设计、动力学分析、样机研制奠定了理论基础。

    Abstract:

    The four degrees of freedom(DOF)SCARA parallel mechanism(PM)is widely used in industrial manufacturing since it has three translations and one rotation (3T1R) pose positioning function. In general, this kind of PM features complex structures, high coupling degree, no inputoutput motion decoupling and singularity etc. Firstly, according to the topological design theory of PM based on the position and orientation characteristic (POC) equations and principle of avoiding singularity by using redundant actuation limb, a new and symmetrical 3T1R partially decoupled PM with low coupling degree κ and a redundant actuation was proposed. Then the topological characteristic analysis of the PM was performed, including POC set, DOF, coupling degree and motion decoupling performance. Afterward, according to the kinematics modeling principle based on ordered single opened chain (SOC), the solution model of direct kinematics was established, and the position solutions of the PM were solved by using onedimensional search method. Then, the workspace and rotational ability of the PM were analyzed based on the inverse position solutions derived. At the same time, the geometric conditions of three kinds of singular positions were also derived and the principle of avoiding the singular position using redundant driving chain was explained. Meanwhile, the velocity and acceleration curve of the base point of moving platform of PM was simulated based on the derived formula. The research result laid a theoretical foundation for the mechanical design, prototype implement and application of the manipulator.

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沈惠平,许正骁,许可,邓嘉鸣,杨廷力.低耦合度且部分解耦的3T1R并联机构设计与分析[J].农业机械学报,2019,50(2):373-383,419. SHEN Huiping, XU Zhengxiao, XU Ke, DENG Jiaming, YANG Tingli. Design and Analysis for Partially Decoupled 3T1R Parallel Mechanism with Low Coupling Degree[J]. Transactions of the Chinese Society for Agricultural Machinery,2019,50(2):373-383,419.

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  • 收稿日期:2018-08-16
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  • 在线发布日期: 2019-02-10
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