两支链三平移并联机构动力学分析与性能优化
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国家自然科学基金项目(51975062、51378062)


Dynamics Analysis and Performance Optimization of Two-chain and Three-translation Parallel Mechanism
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    摘要:

    对前期提出的三平移并联机构2P4R(Pa)-PR(Pa)R进行了动力学分析及其性能优化。首先,基于该机构的符号式位置正解,直接求得其各杆件(角)速度和(角)加速度;然后,采用基于虚功原理的序单开链法,对该机构进行动力学建模,并通过比较3个驱动力的理论计算值与仿真结果,验证了动力学建模的正确性;进一步,以杆件长度和质量参数作为设计变量,以可达工作空间和能量传递效率两种性能指标为目标函数,对该机构进行运动学和动力学性能的二级递进优化,得到机构在上述两种性能指标下的最优解,使机构可达工作空间性能指标提高56.2%,全局能量传通效率性能指标提高63.6%,为机构设计与样机研制奠定了基础。

    Abstract:

    Dynamic analysis and performance optimization of the threetranslation parallel mechanism(PM)2P4R(Pa)-PR(Pa)R proposed by the authors were performed. Firstly, based on the symbolic positive solution of the mechanism, the (angular) velocity and (angular) acceleration of each member were obtained directly. Then, the dynamic model of the mechanism was established by using the sequential single-open-chain (SOC) method based on the virtual work principle. The SOC was taken as the basic unit, and the coefficient matrix of the dynamic equation can be directly called by the results of the mechanism velocity analysis, which improved the calculation efficiency. The correctness of the dynamic modeling was verified by comparing the theoretical calculation values of the three driving forces with the simulation results. Further, based on the differential evolution algorithm, taking the length and mass parameters of the rod as the design variables and the two performance indexes of reachable workspace and energy transfer efficiency as the objective functions, the two-level progressive optimization of the kinematic and dynamic performance of the mechanism was carried out, and the optimal solution of the mechanism under the above two performance indexes was obtained, which laid a foundation for the design of mechanism and the development of prototype. The three-translation parallel mechanism not only had analytic positive solution, but also had partial input-output motion decoupling, which was conducive to the trajectory planning and motion control of the mechanism. The mechanism was suitable for handling, grasping, loading and unloading of large-size workpieces along the length direction.

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李菊,肖思进,沈惠平,赵一楠,杨廷力.两支链三平移并联机构动力学分析与性能优化[J].农业机械学报,2022,53(10):412-422. LI Ju, XIAO Sijin, SHEN Huiping, ZHAO Yi'nan, YANG Tingli. Dynamics Analysis and Performance Optimization of Two-chain and Three-translation Parallel Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2022,53(10):412-422.

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  • 收稿日期:2021-10-02
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  • 在线发布日期: 2021-12-13
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