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基于絕對(duì)節(jié)點(diǎn)坐標(biāo)法的空間并聯(lián)機(jī)構(gòu)剛?cè)狁詈蟿?dòng)力學(xué)建模
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山東省重點(diǎn)研發(fā)計(jì)劃(公益類)科技攻關(guān)項(xiàng)目(2019GGX104011)


Rigid Flexible Coupling Dynamic Modeling of Spatial Parallel Mechanism Based on Absolute Node Coordinate Formulation
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    摘要:

    為研究柔性桿件對(duì)空間并聯(lián)機(jī)構(gòu)動(dòng)力特性的影響,,以具有結(jié)構(gòu)冗余的3-RRPaR空間并聯(lián)機(jī)構(gòu)為研究對(duì)象,,提出建立冗余空間并聯(lián)機(jī)構(gòu)剛?cè)狁詈蟿?dòng)力學(xué)模型的通用方法。基于絕對(duì)節(jié)點(diǎn)坐標(biāo)法建立了三維二節(jié)點(diǎn)梁?jiǎn)卧P停治隽藱C(jī)構(gòu)的結(jié)構(gòu)特征,利用拉格朗日乘子法推導(dǎo)了機(jī)構(gòu)的剛?cè)狁詈蟿?dòng)力學(xué)方程,,采用廣義α方法在Matlab中對(duì)其動(dòng)力學(xué)方程進(jìn)行數(shù)值求解,得到不同彈性模量下的動(dòng)力學(xué)響應(yīng)曲線,。結(jié)果表明,,柔性桿件對(duì)機(jī)構(gòu)輸出特性產(chǎn)生重要的影響,彈性模量越小,,對(duì)機(jī)構(gòu)的影響越大,,且彈性模量對(duì)動(dòng)平臺(tái)加速度的影響最為顯著。本研究為空間并聯(lián)機(jī)構(gòu)的剛?cè)狁詈蟿?dòng)力學(xué)建模提供了研究思路,。

    Abstract:

    In order to study influence of flexible rod on the dynamic characteristics of the spatial parallel mechanism, the 3-RRPaR spatial parallel mechanism with structural redundancy was taken as the research object, and a general method for establishing rigid flexible coupling dynamic model of redundant spatial parallel mechanism was proposed. A three-dimensional two node beam element model was established based on the absolute node coordinate method. The structural characteristics of the mechanism were studied, and the rigid flexible coupling dynamical equation of the mechanism was derived by Lagrange multiplier method. The generalized α method was used to solve the dynamic equation in Matlab, and the dynamical responses curves of the mechanism under different elastic modulus were obtained. It can be concluded that the flexible rod had an important influence on the output characteristics of the mechanism. The smaller the elastic modulus was, the greater the influence on the mechanism was, and the impact on the acceleration of the moving platform was the most significant. The research can provide a modeling method and idea for other rigid flexible coupling dynamics of other spatial parallel mechanisms, and also can lay a foundation for the dynamic modeling of the mechanism considering joint clearance and flexible rod at the same time.

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陳修龍,崔夢(mèng)強(qiáng).基于絕對(duì)節(jié)點(diǎn)坐標(biāo)法的空間并聯(lián)機(jī)構(gòu)剛?cè)狁詈蟿?dòng)力學(xué)建模[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2021,52(4):392-401. CHEN Xiulong, CUI Mengqiang. Rigid Flexible Coupling Dynamic Modeling of Spatial Parallel Mechanism Based on Absolute Node Coordinate Formulation[J]. Transactions of the Chinese Society for Agricultural Machinery,2021,52(4):392-401.

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  • 收稿日期:2020-10-17
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  • 在線發(fā)布日期: 2021-04-10
  • 出版日期: 2021-04-10
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