Facing the occasion of grasping and sorting, a novel 3T1R planar symmetric parallel mechanism, named 2PRP,a,U-2PSS PM, is proposed, and its kinematics is analyzed in detail. The degree of freedom and coupling degree are addressed through the position and orientation characteristic (POC) theory. The mathematical models of displacement and orientation, velocity and acceleration analysis are derived by utilizing the vector method. Meanwhile, the nonlinear equations of forward displacement are transformed into one-dimensional equation, thus using the improved grey wolf optimization algorithm to solve this problem. A numerical example is given to verify the correctness of the kinematical mathematical model, the displacement, velocity, and acceleration curves are obtained with the aid of Matlab, and then Adams is used for simulation verification. Finally, the two results are basically consistent, which indicates that the kinematic mathematical models of the discussed mechanism derived are correct and reliable.
关键词
并联机构方位特征集位置正解分析运动学分析灰狼优化算法
Keywords
Parallel mechanismPosition and orientation characteristicForward position solution analysisKinematics analysisGrey wolf optimization algorithm
references
CHE L X,CHEN G W,JIANG H Y,et al.Dimensional synthesis for a Rec4 parallel mechanism with maximum transmission workspace[J].Mechanism and Machine Theory,2020,153(3):104008.
BI W Y,XIE F G,LIU X J,et al.Optimal design of a novel 4-degree-of-freedom parallel mechanism with flexible orientation capability[J].Proceedings of the Institution of Mechanical Engineers Part B Journal of Engineering Manufacture,2017,233(2):095440541773146.
CHE Linxian,WANG Taofen,HE Bing.Dimensional synthesis of a 2PUR-PSR parallel manipulator with optimal orientational capability[J].Journal of Machine Design,2019,36(12):108-115.
王继斌.废墟狭窄空间辅助救援机器人研究[D].哈尔滨:哈尔滨工业大学,2014:3-5.
WANG Jibin.Research on assistant rescue robot in narrow space of ruins[D].Harbin:Harbin Institute of Technology,2014:3-5.
SUN Chiyu,SHEN Huiping,YUAN Juntang,et al.Kinematics research on a new type of semi-symmetrical three translation one rotation (3T1R)parallel manipulator[J].China Mechanical Engineering,2021,32(6):638-647.
TIAN C X,FANG Y F,GE Q J.Design and analysis of a partially decoupled generalized parallel mechanism for 3T1R motion[J].Mechanism and Machine Theory,2019,140:211-232.
YANG Tingli,LIU Anxin,SHEN Huiping,et al.Topological structure synthesis of 3T-1R parallel mechanism based on POC equation[J].Journal of Mechanical Engineering,2017,53(21):54-64.
LI Muyuan,QUAN Huimin,WU Guiqing.Position optimization algorithm and simulation of parallel robot[J].Computer Applications and Software,2017,34(12):260-265.
HE Leiying,TU Yekai,YE Wei,et al.Kinematics analysis of a new type of 3T1R parallel mechanism capable of full rotation[J].Journal of Mechanical Engineering,2018,54(11):151-160.
DENG Jiaming,LI Wenhua,SHEN Huiping,et al.Topological structure and kinematics analysis of the main mechanism of a single-input 3T1R parallel vibrating screen[J].Machine Design and Research,2018,34(2):46-52.