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考虑关节摩擦的3-PRS并联机构动力学建模研究
引用本文:陈国强,周红鹏,黄俊杰,代军,白秉欣,刘梦超.考虑关节摩擦的3-PRS并联机构动力学建模研究[J].农业机械学报,2021,52(8):416-426.
作者姓名:陈国强  周红鹏  黄俊杰  代军  白秉欣  刘梦超
作者单位:河南理工大学
基金项目:国家自然科学基金项目(U1304525)、河南省科技攻关项目(212102210045、182102310706)和河南省高校基本科研业务费专项(NSFRF200401)
摘    要:为了研究摩擦力对并联机构运动过程的影响,对3-PRS并联机构进行了基于关节摩擦力的动力学分析。对3-PRS并联机构进行末端理论运动轨迹规划,采用矢量法对机构进行了运动学分析。提出3种不同的关节摩擦模型,包括库伦摩擦模型、库伦-粘性摩擦模型以及库伦-粘性-静摩擦模型,在考虑关节间摩擦的情况下,基于牛顿-欧拉法建立了3-PRS并联机构的动力学分析模型。逆动力学实例分析表明,负载越大,摩擦力越大,在有无摩擦力的情况下,3个移动副驱动力的最大误差分别为1.40%、1.51%、1.49%。通过正动力学实例分析了不同情况下关节间摩擦模型对末端运动轨迹的影响,结果表明,不同关节摩擦模型对3-PRS并联机构末端的运动轨迹有较大的影响。

关 键 词:3-PRS并联机构  动力学建模  牛顿-欧拉法  摩擦模型  运动轨迹
收稿时间:2020/9/13 0:00:00

Dynamic Modeling with Joint Friction of 3-PRS Parallel Mechanism
CHEN Guoqiang,ZHOU Hongpeng,HUANG Junjie,DAI Jun,BAI Bingxin,LIU Mengchao.Dynamic Modeling with Joint Friction of 3-PRS Parallel Mechanism[J].Transactions of the Chinese Society of Agricultural Machinery,2021,52(8):416-426.
Authors:CHEN Guoqiang  ZHOU Hongpeng  HUANG Junjie  DAI Jun  BAI Bingxin  LIU Mengchao
Institution:Henan Polytechnic University
Abstract:In order to research the influence of friction on the operation of the parallel mechanism, the dynamic analysis of the 3-PRS parallel mechanism based on joint friction was carried out. Firstly, the ideal terminal motion trajectory of the 3-PRS parallel mechanism was planned, and the mechanism had three degrees of freedom (DOFs), including two rotation DOFs and one movement DOFs. The vector motion was used to analyze the kinematics of the mechanism, and the velocity and acceleration of each component were analyzed. Secondly, three joint friction models, including Coulomb friction model, Coulomb-viscous friction model and Coulomb-viscous-static friction model were proposed. Under the condition of applying friction between joints, the dynamic modeling of the components and the overall structure of the 3-PRS parallel mechanism was established based on the Newton-Euler method. Finally, the influence of load on the friction of each joint was analyzed. The specified ideal motion trajectory was applied to the terminal of the mechanism. According to the inverse dynamics, the influence of joint friction on the slider driving force was analyzed and the maximum errors of the three slider driving forces were 1.40%, 1.51% and 1.49%, respectively. The three slider driving forces from the inverse dynamics were taken as the main driving forces of the 3-PRS parallel mechanism, and the influence on the terminal motion trajectory caused by the different friction models between joints was analyzed through forward dynamics. The research results showed that the terminal motion trajectory of the 3-PRS parallel mechanism had great impact under different joint friction models.
Keywords:3-PRS parallel mechanism  dynamic modeling  Newton-Euler method  friction modeling  motion trajectory
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