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低耦合度3T1R并聯(lián)操作手設(shè)計與運(yùn)動學(xué)分析
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國家自然科學(xué)基金項目(51475050,、51375062)和江蘇省重點(diǎn)研發(fā)計劃項目(BE2015043)


Design and Kinematics Analysis of a Novel 3T1R Parallel Manipulator with Lower Coupling Degree
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    摘要:

    基于方位特征(POC)方程的并聯(lián)機(jī)構(gòu)拓?fù)浣Y(jié)構(gòu)設(shè)計理論和機(jī)構(gòu)結(jié)構(gòu)降耦原理,,設(shè)計了一種低耦合度能實(shí)現(xiàn)三平移一轉(zhuǎn)動(3T1R)的SCRAR并聯(lián)操作手機(jī)構(gòu),。首先,闡述了該機(jī)構(gòu)的組成,,計算了該機(jī)構(gòu)的耦合度k=1;然后,,根據(jù)該機(jī)構(gòu)的幾何特點(diǎn)和運(yùn)動約束,通過建立輸入?yún)?shù)與動平臺輸出位姿參數(shù)間的約束方程,,運(yùn)用運(yùn)動學(xué)序單開鏈法原理求解了位置正解的數(shù)值解,,導(dǎo)出了其位置反解的解析解,用實(shí)例驗(yàn)證了位置正,、反解的準(zhǔn)確性;最后,,基于位置反解得到了機(jī)構(gòu)位置工作空間的形狀與大小及Z向各截面形狀,并基于Jacobian矩陣對機(jī)構(gòu)奇異位形進(jìn)行了分析,。結(jié)果表明:該機(jī)構(gòu)比H4,、I4結(jié)構(gòu)簡單,在一組相同等效尺寸參數(shù)下其工作空間大,、轉(zhuǎn)動能力強(qiáng),。

    Abstract:

    Comparing with the 3-DOF Delta mechanism, the 4-DOF parallel mechanisms which can achieve SCARA motion (i.e., three translations and one rotation) have their own complex topological structures with coupling degree k=2, which results in the higher complexity level of solutions for forward kinematics and dynamics. According to the design theory for parallel mechanisms (PMs) based on position and orientation characteristic (POC) equation and the principle for the coupling degree reducing, a novel 4-DOF SCARA type parallel manipulator with lower coupling degree of k=1 was proposed. Firstly, the structure of the 4-DOF SCARA PM was introduced and the coupling degree of the mechanisms was calculated as being k=1. Secondly, the direct position and the inverse kinematics problem of the mechanism was solved by using the modeling methods based on the ordered SOC unit, and the positive and inverse solutions were verified by numerical methods using Matlab. Furthermore, the workspace of the mechanism was analyzed based on inverse solutions formula. Meanwhile, rotation ability of the PM was analyzed. Finally, the singularity analysis of the mechanism was also performed based on Jacobian matrix, from which three kinds of singular conditions were obtained. The results showed that the manipulator had a simpler mechanical structure and larger workspace and rotation ability than H4 or Cross—Ⅳ under the same set of structural parameters. The research provided a theoretical base for its kinematics and dynamics and optimal design of this manipulator.

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沈惠平,尹洪賀,邵國為,楊廷力.低耦合度3T1R并聯(lián)操作手設(shè)計與運(yùn)動學(xué)分析[J].農(nóng)業(yè)機(jī)械學(xué)報,2017,48(5):405-412. SHEN Huiping, YIN Honghe, SHAO Guowei, YANG Tingli. Design and Kinematics Analysis of a Novel 3T1R Parallel Manipulator with Lower Coupling Degree[J]. Transactions of the Chinese Society for Agricultural Machinery,2017,48(5):405-412.

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  • 收稿日期:2016-09-16
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  • 在線發(fā)布日期: 2017-05-10
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