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2-UPR-PRU并聯(lián)機(jī)構(gòu)靜剛度模型建立與性能分析
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國家自然科學(xué)基金項(xiàng)目(51775513)和浙江省自然科學(xué)基金項(xiàng)目(LY17E050028)


Elastostatic Stiffness Modeling and Performance Analysis of 2-UPR-PRU Parallel Manipulator
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    摘要:

    針對2-UPR-PRU兩轉(zhuǎn)一移三自由度并聯(lián)機(jī)構(gòu),,采用螺旋理論和應(yīng)變能方法對其進(jìn)行系統(tǒng)的靜剛度模型建立與性能分析?;陂]環(huán)矢量法建立2-UPR-PRU并聯(lián)機(jī)構(gòu)的運(yùn)動(dòng)學(xué)逆解模型,??紤]分支桿件的柔性,采用螺旋理論和應(yīng)變能方法推導(dǎo)2-UPR-PRU并聯(lián)機(jī)構(gòu)各分支的剛度矩陣,,結(jié)合變形協(xié)調(diào)方程構(gòu)建2-UPR-PRU并聯(lián)機(jī)構(gòu)的整體剛度矩陣,,得到外載作用下機(jī)構(gòu)在不同位型的變形情況和整體柔度矩陣,,并通過ANSYS軟件進(jìn)行數(shù)值仿真驗(yàn)證?;陟o剛度模型分析2-UPR-PRU并聯(lián)機(jī)構(gòu)的虛功剛度指標(biāo),,獲得2-UPR-PRU并聯(lián)機(jī)構(gòu)在不同外載和操作高度情況下的靜剛度性能分布圖譜。研究結(jié)果對于設(shè)計(jì)樣機(jī),、提高機(jī)構(gòu)的控制精度方面有重要的參考價(jià)值,。

    Abstract:

    Parallel manipulators with two rotations and one translation have been attracted the interest from both academic and industry. They can be selected as parallel modules and used in the workpieces machining. A systemic stiffness modeling and performance analysis of a 2-UPR-PRU three degrees of freedom parallel manipulator was presented based on the screw theory and strain energy, where U, P and R denoted universal, prismatic and revolute joint, respectively. Firstly, the inverse kinematics of the 2-UPR-PRU parallel manipulator was presented by using the closed-loop method. Next, considering the compliances of limbs, the stiffness matrices of limbs in the 2-UPR-PRU parallel manipulator were derived through the screw theory and strain energy, and the overall stiffness matrix of the parallel manipulator was obtained by combining the deformation compatibility equations. Under the external wrench, the deformations and overall compliance matrix of the 2-UPR-PRU parallel manipulator in different configurations were obtained, and a numerical simulation based on the ANSYS software was used to verify the correctness of the theoretical result. Finally, the distributions of virtual-work stiffness index were used to evaluate and discuss the stiffness performances of the 2-UPR-PRU parallel manipulator in different external wrenches and operational heights. The stiffness modeling and performance analysis of the 2-UPR-PRU parallel manipulator can provide an important reference for the design of prototype and the high precise control of system.

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饒晨陽,徐靈敏,陳巧紅.2-UPR-PRU并聯(lián)機(jī)構(gòu)靜剛度模型建立與性能分析[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2021,52(11):402-410. RAO Chenyang, XU Lingmin, CHEN Qiaohong. Elastostatic Stiffness Modeling and Performance Analysis of 2-UPR-PRU Parallel Manipulator[J]. Transactions of the Chinese Society for Agricultural Machinery,2021,52(11):402-410.

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  • 收稿日期:2020-11-25
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  • 在線發(fā)布日期: 2021-11-10
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