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具有解析式位置正解的三平移并聯(lián)機構(gòu)設(shè)計與分析
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國家自然科學(xué)基金項目(51975062,、51475050)和江蘇省重點研發(fā)計劃項目(BK20161192)


Topology Design and Analysis of Three-translation Parallel Mechanism with Analytical Direct Position Solutions
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    摘要:

    具有解析式位置正解且部分運動解耦的并聯(lián)機構(gòu),,對后續(xù)的誤差分析,、運動軌跡規(guī)劃與控制,、動力學(xué)分析等十分有利,。根據(jù)基于方位特征(POC)方程的并聯(lián)機構(gòu)拓?fù)湓O(shè)計理論和方法,,設(shè)計一種僅由移動副和轉(zhuǎn)動副組成的三平移(3T)并聯(lián)機構(gòu),它具有解析式位置正解、部分運動解耦性、大的操作工作空間等優(yōu)點,。首先,分析計算了該機構(gòu)的方位特征集,、自由度,、耦合度3個主要拓?fù)涮匦裕挥捎谌揭频奶厥夥轿惶卣骷s束,,盡管耦合度為1,,仍可直接求得機構(gòu)的解析式位置正解,而不必用一維搜索法求數(shù)值解,;根據(jù)導(dǎo)出的位置反解,,進一步分析了該機構(gòu)發(fā)生奇異位形的條件、機構(gòu)位置工作空間及其奇異性特征,,并對機構(gòu)速度和加速度進行了計算及仿真分析,。結(jié)果表明:仿真曲線變化平穩(wěn)、連續(xù),,具有較好的動態(tài)特性,。

    Abstract:

    The parallel mechanisms with analytical direct position solutions and partial motion decoupling are of great benefits to subsequent research such as error analysis, motion trajectory planning and control, dynamic performance analysis. According to the topological design theory and method of parallel mechanism (PM) based on position and orientation characteristic (POC) equations, a novel threetranslation (3T) PM was designed, which consisted of prismatic joints and revolute joints, and had the advantages of analytical direct position solutions and partial motion decoupling property and larger workspace. Firstly, the main topological characteristics such as the POC, degree of freedom and coupling degree were calculated. Due to the special constraint feature of the threetranslation, the analytical direct position solutions of the PM can be directly obtained without needing to use onedimensional search method although its coupling degree equaled to one. Furthermore, the conditions of the singular configuration of the PM, and the singularity location in the workspace were analyzed according to the inverse kinematics, as well as the velocity and acceleration of the PM were calculated and simulated. The results showed that the simulation curve was changed smoothly and continuously, and it had good dynamic performance. 

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沈惠平,曾博雄,尤晶晶,李菊,許正驍,楊廷力.具有解析式位置正解的三平移并聯(lián)機構(gòu)設(shè)計與分析[J].農(nóng)業(yè)機械學(xué)報,2020,51(2):383-391,426. SHEN Huiping, ZENG Boxiong, YOU Jingjing, LI Ju, XU Zhengxiao, YANG Tingli. Topology Design and Analysis of Three-translation Parallel Mechanism with Analytical Direct Position Solutions[J]. Transactions of the Chinese Society for Agricultural Machinery,2020,51(2):383-391,426.

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  • 收稿日期:2019-07-09
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  • 在線發(fā)布日期: 2020-02-10
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