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考慮關(guān)節(jié)摩擦效應的并聯(lián)機構(gòu)動力學分析
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國家自然科學基金資助項目(51275404),、陜西高校省級重點實驗室科研資助項目(2010JS080),、西安理工大學優(yōu)秀博士學位論文研究基金資助項目(102-211209)和陜西省重點學科建設(shè)專項資金資助項目


Dynamics Analysis of Parallel Mechanism with Joint Friction
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    摘要:

    分析了一種4-SPS/CU并聯(lián)機構(gòu)的運動學,,將該機構(gòu)的關(guān)節(jié)摩擦力視為非保守力,。定量分析關(guān)節(jié)摩擦力對該機構(gòu)動力學特性的影響,,關(guān)鍵在于求出關(guān)節(jié)摩擦力對應的正壓力,。為了簡化其動力學模型,,將該機構(gòu)驅(qū)動支鏈作為整體分析使其驅(qū)動力和驅(qū)動摩擦力視為內(nèi)力,,首先考慮該機構(gòu)的恰約束從動關(guān)節(jié)的摩擦力,再以“庫倫+粘性”摩擦模型為基礎(chǔ),,利用牛頓-歐拉法分別對該機構(gòu)的驅(qū)動支鏈,、恰約束從動支鏈與上平臺建立了含摩擦的動力學模型。在已知上平臺運動軌跡的情況下,,通過該動力學方程得到了該機構(gòu)的關(guān)節(jié)約束反力/力矩?;隍?qū)動支鏈正壓力與各關(guān)節(jié)約束反力/力矩之間的關(guān)系,,導出了該機構(gòu)的驅(qū)動摩擦力模型,并成功地將驅(qū)動摩擦力引入到該機構(gòu)的動力學模型中,。為對該動力學模型進行有效的仿真計算,,制定了其數(shù)值仿真迭代過程。仿真結(jié)果說明關(guān)節(jié)摩擦力的存在對該機構(gòu)的驅(qū)動力產(chǎn)生顯著的影響,。

    Abstract:

    The kinematics of a 4-SPS/CU parallel mechanism was analyzed. In order to quantitatively analyze the influence of joint friction acted as non-conservative force on the mechanism dynamics, the calculation of the normal force corresponding to joint friction was important. For simplifying the dynamics model, the driving chain was treated as a rigid body so the driving friction could be seemed as internal force. Based on the “Coulomb + viscous” friction model, the dynamics model with joint friction of up platform, driving chain and driven chain were built respectively by using Newton-Euler formulation, which could obtain the joint constraint forces/torques with giving motion trajectory of the mechanism’s up platform. Subsequently, the driving friction models were established on account of the relationship between the driving chain’s normal forces and joint constraint reactions. The iterative procedure of complicated dynamics equations was formulated for the effective simulation. The research results showed that joint friction forces significantly impacted on the driving forces of the mechanism.

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王庚祥,劉宏昭,龔春園,原大寧.考慮關(guān)節(jié)摩擦效應的并聯(lián)機構(gòu)動力學分析[J].農(nóng)業(yè)機械學報,2013,44(11):308-315. Wang Gengxiang, Liu Hongzhao, Gong Chunyuan, Yuan Daning. Dynamics Analysis of Parallel Mechanism with Joint Friction[J]. Transactions of the Chinese Society for Agricultural Machinery,2013,44(11):308-315.

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  • 在線發(fā)布日期: 2013-11-07
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