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SCARA并聯(lián)機構(gòu)拓撲分析與其低耦合度機型設(shè)計
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國家自然科學(xué)基金項目(51405039,、51375062,、51475050)、江蘇省重點研發(fā)計劃項目(BE2015043)和江蘇省科技成果轉(zhuǎn)化專項資金項目(BA2015098)


Topological Analysis for Family of SCARA Parallel Mechanisms and Their Equivalent Design with Low Coupling Degree
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    摘要:

    根據(jù)基于方位特征(Position and orientation characteristics,,POC)的并聯(lián)機構(gòu)拓撲結(jié)構(gòu)設(shè)計理論與方法,,首先,,對已提出的一類7個具有較好實用價值的SCARA并聯(lián)機構(gòu),進行了拓撲結(jié)構(gòu)分析,,揭示了其POC集,、自由度(含驅(qū)動副選取),、過約束數(shù),、耦合度以及輸入-輸出運動解耦性等5個最主要的拓撲特征,且發(fā)現(xiàn)這些機構(gòu)的耦合度均較大,,為2,,表明其運動學(xué)正解和動力學(xué)求解十分復(fù)雜,;繼而基于機構(gòu)拓撲結(jié)構(gòu)降耦原理,又對κ=2的這7個機構(gòu)進行了拓撲結(jié)構(gòu)降耦優(yōu)化,,得到了低耦合度(κ=1),,而機構(gòu)POC、自由度(Degree of freedom,,DOF)等保持不變的實現(xiàn)SCARA運動的14個新機型,,不僅豐富了實現(xiàn)SCARA運動的4-DOF三平移一轉(zhuǎn)動機型庫,而且降低了這些機構(gòu)的運動學(xué)和動力學(xué)代數(shù)求解難度,,而其數(shù)值解可用一維搜索法方便求得,,從而為這一類SCARA并聯(lián)機構(gòu)的運動學(xué)和動力學(xué)分析、設(shè)計及應(yīng)用提供了理論基礎(chǔ),。

    Abstract:

    According to the parallel mechanism design theory and systematical method based on position and orientation characteristic (POC), a total topological structures analysis was performed on seven typical new SCARA parallel mechanisms (PMs) with proposed practical value. Five major topological features were revealed, which were POC set, degree of freedom (including the selection of drive pair), over-constraint degree, coupling degree and input-output motion decoupling relationship of PMs. It was found that the coupling degree of these PMs were bigger with κ=2, which meant that the forward kinematics solutions and inverse dynamic solution of the PMs were very complete. Therefore, decoupling and optimization of these PMs were completed based on the proposed mechanism topological structural decoupling principles, and 14 new equivalent mechanisms with lower coupling degree which had the same POC and DOF were achieved. Thus the 4-DOF mechanism with three translations and one rotation which can achieve Schonflies motion can be enriched greatly, and the forward kinematics solutions and inverse dynamic solution of these PMs can be obtained easily, and the numerical solution can be gotten conveniently by using one dimensional searching method. The research provided a theoretical basis for the kinematics synthesis and analysis, design and applications for these new SCARA PMs.

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李菊,曾氫菲,沈惠平,楊廷力. SCARA并聯(lián)機構(gòu)拓撲分析與其低耦合度機型設(shè)計[J].農(nóng)業(yè)機械學(xué)報,2017,48(11):405-416. LI Ju, ZENG Qingfei, SHEN Huiping, YANG Tingli. Topological Analysis for Family of SCARA Parallel Mechanisms and Their Equivalent Design with Low Coupling Degree[J]. Transactions of the Chinese Society for Agricultural Machinery,2017,48(11):405-416.

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  • 收稿日期:2017-03-12
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  • 在線發(fā)布日期: 2017-11-10
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