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具有解析式位置正解的2T1R并聯(lián)機構(gòu)運動性能分析
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國家自然科學基金項目(51475050)和江蘇省重點研發(fā)計劃項目(BK20161192)


2T1R Parallel Mechanism with Analytic Positive Position Solutions and Its Kinematic Performance Based Optimization
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    摘要:

    求解具有解析式位置正解且部分運動解耦的并聯(lián)機構(gòu),,有利于后續(xù)的誤差分析,、動力學分析、運動軌跡規(guī)劃與控制等,?;诜轿惶卣鞣匠?POC)的并聯(lián)機構(gòu)設(shè)計理論與方法,,設(shè)計了兩種具有解析式位置正解且部分運動解耦的2T1R并聯(lián)機構(gòu),并對這兩種機構(gòu)進行了方位特征,、自由度及耦合度等主要拓撲性能分析,;提出基于拓撲特征的運動學建模與求解方法,并據(jù)此求解了兩種機構(gòu)的解析式位置正解,;基于導出的位置反解,,分析了兩種機構(gòu)工作空間、奇異位形、動平臺的速度與加速度變化規(guī)律,。最后比較了兩種機構(gòu)的運動性能,,選擇了優(yōu)選機型。為優(yōu)選機型的動力學分析與樣機研制提供了理論基礎(chǔ),。

    Abstract:

    The parallel mechanisms with analytic positive position solution and partial motion decoupling are of great benefit to subsequent research such as error analysis, workspace solution, singularity analysis and stiffness analysis, dynamic performance analysis, motion trajectory planning and control. Firstly, a class of two 2T1R parallel mechanisms with analytic positive position solutions and partial motion decoupling were proposed according to the design theory and method of parallel mechanism (PM) based on position and orientation characteristics equation (POC). The main topological performance, including position and orientation characteristics, degree of freedom and coupling degree calculation, was performed. Secondly, according to the method for kinematics modeling based on topological characteristics by the author, the analytic positive solution of one of the PMs was solved in detail. Then, based on the derived position inverse solution, the workspace, singular configuration, velocity and acceleration variation of the PM were analyzed. Finally, the difference between the two PMs in the above various performance indexes was compared and analyzed. Based on this, the preferred PM was selected. Because of its simple structure, good kinematics and dynamic performance, it had potential applications in the manufacturing, which was especially suitable for handling, grabbing, loading and unloading of workpieces with large length in the longitudinal direction. The research result laid a theoretical foundation for the dynamic analysis and prototype development of the preferred PM.

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沈惠平,周金波,尤晶晶,楊廷力.具有解析式位置正解的2T1R并聯(lián)機構(gòu)運動性能分析[J].農(nóng)業(yè)機械學報,2020,51(1):398-409. SHEN Huiping, ZHOU Jinbo, YOU Jingjing, YANG Tingli.2T1R Parallel Mechanism with Analytic Positive Position Solutions and Its Kinematic Performance Based Optimization[J]. Transactions of the Chinese Society for Agricultural Machinery,2020,51(1):398-409.

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  • 收稿日期:2019-06-26
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  • 在線發(fā)布日期: 2020-01-10
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