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考慮關(guān)節(jié)摩擦的3-PRS并聯(lián)機(jī)構(gòu)動(dòng)力學(xué)建模研究
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國家自然科學(xué)基金項(xiàng)目(U1304525)、河南省科技攻關(guān)項(xiàng)目(212102210045、182102310706)和河南省高校基本科研業(yè)務(wù)費(fèi)專項(xiàng)(NSFRF200401)


Dynamic Modeling with Joint Friction of 3-PRS Parallel Mechanism
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    摘要:

    為了研究摩擦力對(duì)并聯(lián)機(jī)構(gòu)運(yùn)動(dòng)過程的影響,對(duì)3-PRS并聯(lián)機(jī)構(gòu)進(jìn)行了基于關(guān)節(jié)摩擦力的動(dòng)力學(xué)分析。對(duì)3-PRS并聯(lián)機(jī)構(gòu)進(jìn)行末端理論運(yùn)動(dòng)軌跡規(guī)劃,采用矢量法對(duì)機(jī)構(gòu)進(jìn)行了運(yùn)動(dòng)學(xué)分析。提出3種不同的關(guān)節(jié)摩擦模型,包括庫倫摩擦模型、庫倫-粘性摩擦模型以及庫倫-粘性-靜摩擦模型,在考慮關(guān)節(jié)間摩擦的情況下,基于牛頓-歐拉法建立了3-PRS并聯(lián)機(jī)構(gòu)的動(dòng)力學(xué)分析模型。逆動(dòng)力學(xué)實(shí)例分析表明,負(fù)載越大,摩擦力越大,在有無摩擦力的情況下,3個(gè)移動(dòng)副驅(qū)動(dòng)力的最大誤差分別為1.40%、1.51%、1.49%。通過正動(dòng)力學(xué)實(shí)例分析了不同情況下關(guān)節(jié)間摩擦模型對(duì)末端運(yùn)動(dòng)軌跡的影響,結(jié)果表明,不同關(guān)節(jié)摩擦模型對(duì)3-PRS并聯(lián)機(jī)構(gòu)末端的運(yùn)動(dòng)軌跡有較大的影響。

    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.

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陳國強(qiáng),周紅鵬,黃俊杰,代軍,白秉欣,劉夢(mèng)超.考慮關(guān)節(jié)摩擦的3-PRS并聯(lián)機(jī)構(gòu)動(dòng)力學(xué)建模研究[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2021,52(8):416-426. 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 for Agricultural Machinery,2021,52(8):416-426.

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  • 收稿日期:2020-09-13
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  • 在線發(fā)布日期: 2021-08-10
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