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3T1R并聯(lián)機(jī)構(gòu)結(jié)構(gòu)降耦設(shè)計(jì)與運(yùn)動(dòng)學(xué)分析
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國家自然科學(xué)基金項(xiàng)目(51475050、51375062)和江蘇省重點(diǎn)研發(fā)計(jì)劃項(xiàng)目(BE2015043)


Structure Coupling-reducing Design and Kinematics Analysis of 3T1R Parallel Mechanism
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    摘要:

    根據(jù)基于方位特征(POC)的并聯(lián)機(jī)構(gòu)設(shè)計(jì)理論與方法,提出了一種結(jié)構(gòu)簡單、能實(shí)現(xiàn)三平移一轉(zhuǎn)動(dòng)的并聯(lián)機(jī)構(gòu),拓?fù)浣Y(jié)構(gòu)分析后發(fā)現(xiàn)其耦合度k較大(k=2),其位置正解及動(dòng)力學(xué)計(jì)算較復(fù)雜;為此,設(shè)計(jì)了結(jié)構(gòu)降耦后的新機(jī)型,證明其耦合度k=1,其位置正解易用一維搜索法求出,并給出了基于序單開鏈法的該機(jī)構(gòu)位置正解求解的一維搜索法及其數(shù)值解;同時(shí),基于導(dǎo)出的機(jī)構(gòu)位置反解公式,分析了動(dòng)平臺的工作空間及其轉(zhuǎn)動(dòng)能力,探討了該機(jī)構(gòu)發(fā)生3種奇異位形的條件。

    Abstract:

    There is a wide range of industrial applications for the 4-DOF parallel mechanism which can achieve SCARA type output motion (i.e., three translations and one rotation). However, due to the complex topological structures, the research and development of its new model are still relatively few. Firstly, according to the parallel mechanism design theory and method based on the orientation characteristic (POC), a SCARA type parallel mechanism whose structure was simple was proposed. Because the coupling degree was 2, positive solution of position and dynamics calculation of the parallel mechanism were very complex. So the new model after structure coupling-reducing (k=1) was given, its positive solutions can be easily solved by one-dimensional search method. Then the three main topological characteristics of POC set, degree of freedom and the coupling degree were respectively analyzed. The kinematics analysis of the new model whose coupling degree was one after structure coupling-reducing was given, and the solution algorithm for the forward position of this parallel mechanism was established. This method can obtain all the numerical solutions of the forward position by using one-dimensional searching method, and can verify the correctness of the forward position by the derived calculation formula of the inverse position. Finally, based on the inverse position of the mechanism, the working space of this parallel mechanism was obtained and the singularity of the mechanism was discussed, which provided a theoretical foundation for the prototype design and application of this mechanism.

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沈惠平,張震,楊廷力,邵國為.3T1R并聯(lián)機(jī)構(gòu)結(jié)構(gòu)降耦設(shè)計(jì)與運(yùn)動(dòng)學(xué)分析[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2017,48(10):380-389,400. SHEN Huiping, ZHANG Zhen, YANG Tingli, SHAO Guowei. Structure Coupling-reducing Design and Kinematics Analysis of 3T1R Parallel Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2017,48(10):380-389,400.

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  • 收稿日期:2017-01-17
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  • 在線發(fā)布日期: 2017-10-10
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