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考慮桿件彈性變形的改進型Delta并聯(lián)機構(gòu)剛度特性分析
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國家科技重大專項資助項目(2009ZX04014—014)


Stiffness Characteristic Analysis of Modified Delta Parallel Mechanism Based on Bars’Elastic Deformation
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    摘要:

    基于傳統(tǒng)的機構(gòu)剛度映射矩陣,建立了改進型Delta并聯(lián)機構(gòu)的剛度模型。模型不僅考慮了驅(qū)動鉸鏈剛度和外載荷對機構(gòu)剛度的影響,還考慮了構(gòu)件重力和在約束力下桿件彈性變形對剛度的影響,更具有一般性和精確性。由于用剛度矩陣來評價機構(gòu)剛度性能不夠直觀,提出了以機構(gòu)彈性變形來評價機構(gòu)剛度特性的方法。利用虛功原理計算出機構(gòu)各個約束鉸鏈上靜態(tài)約束力,利用疊加原理計算出每個桿件約束反力和重力作用下的彈性變形量。然后,通過坐標(biāo)變換法計算出機構(gòu)的綜合彈性變形量,進而分析了機構(gòu)的剛度特性。

    Abstract:

    Based on the traditional stiffness mapping matrix, a stiffness mapping model of modified Delta mechanism was established. The model considered both the influence of stiffness of active joints and external load and the influence of gravities factor and all parts’elastic deformation under the constraint force on the mechanism stiffness so that it was more general and exact than any other stiffness models. Evaluating the stiffness characteristic of parallel mechanism by stiffness matrix form was not intuitive. An idea was proposed to evaluate the stiffness performance by the elastic deformation of the mechanism. The static constrained forces of all joints were calculated by using the principle of virtual work. The elastic deformation under the constrained force and gravity was calculated by superposition principle. At last, the comprehensive elastic deformation of the mechanism was obtained by coordinate transformation method. The stiffness characteristic of the mechanism was further analyzed.

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徐東濤,孫志禮,于曉光.考慮桿件彈性變形的改進型Delta并聯(lián)機構(gòu)剛度特性分析[J].農(nóng)業(yè)機械學(xué)報,2013,44(5):294-298. Xu Dongtao, Sun Zhili, Yu Xiaoguang. Stiffness Characteristic Analysis of Modified Delta Parallel Mechanism Based on Bars’Elastic Deformation[J]. Transactions of the Chinese Society for Agricultural Machinery,2013,44(5):294-298.

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  • 在線發(fā)布日期: 2013-04-28
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