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一種運(yùn)動部分解耦的2R2T并聯(lián)機(jī)構(gòu)運(yùn)動學(xué)與性能分析
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國家杰出青年科學(xué)基金項(xiàng)目(51525504),、國家自然科學(xué)基金項(xiàng)目(51705465)和浙江理工大學(xué)科研啟動基金項(xiàng)目(16022091-Y)


Kinematics and Performance Analysis of 2R2T Parallel Manipulator with Partially Decoupled Motion
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    摘要:

    提出了一種新型四分支并聯(lián)機(jī)構(gòu),。采用李群理論對機(jī)構(gòu)進(jìn)行了自由度分析,該機(jī)構(gòu)能輸出兩轉(zhuǎn)動兩移動運(yùn)動,,可由與機(jī)架相鄰的移動副驅(qū)動。研究了機(jī)構(gòu)的位置模型,,推導(dǎo)得到了位置反解和正解的表達(dá)式,,分析了機(jī)構(gòu)的運(yùn)動部分解耦特性,。求解了機(jī)構(gòu)的雅可比矩陣,基于雅可比矩陣行列式討論了其奇異位形,。繪制了機(jī)構(gòu)的工作空間及內(nèi)部奇異分布,,機(jī)構(gòu)的奇異分布在工作空間邊緣,具有很大的轉(zhuǎn)動能力,。機(jī)構(gòu)在中間位置兩個方向的轉(zhuǎn)角范圍分別可達(dá)-44°~60°和-35°~52°,。對機(jī)構(gòu)進(jìn)行了運(yùn)動/力傳遞性能分析,得到了工作空間內(nèi)的性能分布情況,,以全域傳遞指標(biāo)為目標(biāo)對機(jī)構(gòu)進(jìn)行了尺度優(yōu)化,。

    Abstract:

    A novel parallel manipulator with two rotations and two translations was proposed. The moving platform of the parallel manipulator was connected to the fixed base through four kinematic limbs. Four prismatic joints can be used as actuations to fully control the motion of manipulator. The mobility and motion characteristic of the manipulator were analyzed by using Lie Group theory. Position model of the parallel manipulator was established. Inverse and forward position solutions were analyzed. It was demonstrated that the analytical expressions can be obtained for the inverse and forward position solutions. Partially decoupled motion characteristic of the manipulator was analyzed. Position of the moving platform can be determined by two limbs. Singularity analysis was conducted based on Jacobian matrix. Singular configurations, including inverse kinematic singularity, forward kinematic singularity and combined singularity were analyzed. Workspace and singularity curves were determined. It was found that the singularities located near the boundary of the workspace and the parallel manipulator had relatively high rotational capability. The rotational ranges in two directions were -44°~60° and -35°~52°, respectively. Performance analysis was carried out by using the method of motion/force transmission. Performance distribution over the orientation workspace was sketched. Global performance index was used in optimal design of the manipulator. The proposed parallel manipulator can be used in many fields such as five axis machine and motion simulator.

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葉偉,李秦川,張克濤.一種運(yùn)動部分解耦的2R2T并聯(lián)機(jī)構(gòu)運(yùn)動學(xué)與性能分析[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2019,50(1):374-382. YE Wei, LI Qinchuan, ZHANG Ketao. Kinematics and Performance Analysis of 2R2T Parallel Manipulator with Partially Decoupled Motion[J]. Transactions of the Chinese Society for Agricultural Machinery,2019,50(1):374-382.

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  • 收稿日期:2018-10-18
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  • 在線發(fā)布日期: 2019-01-10
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