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零耦合度部分運動解耦2T1R并聯(lián)機構(gòu)拓撲與性能研究
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國家自然科學基金項目(51975062)


Topology and Performance Analysis of 2T1R Parallel Mechanism with Zero Coupling Degree and Motion Decoupling
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    摘要:

    根據(jù)基于方位特征方程的并聯(lián)機構(gòu)拓撲設計理論和方法,設計,、分析了一種零耦合度且部分運動解耦的三自由度非對稱兩平移一轉(zhuǎn)動(2T1R)并聯(lián)機構(gòu),包括:給出機構(gòu)的拓撲設計過程,,計算其自由度,、耦合度κ等主要拓撲特性;其次,,基于拓撲特征運動學建模方法,,求出其符號式位置正反解,并通過正解進行工作空間計算,;同時導出位置逆解方程,,得到動平臺雅可比矩陣,由此導出機構(gòu)內(nèi)各構(gòu)件的速度,、加速度以及奇異性,;又運用基于虛功原理的序單開鏈法進行逆向動力學建模,得到該機構(gòu)主動副的驅(qū)動力變化曲線,,同時以子運動鏈(SKC)為單元,,求解SKC連接處運動副的支反力,并通過ADAMS予以動力學仿真驗證,。最后,分析了該機構(gòu)可用作不同高度輸送帶之間物料自動轉(zhuǎn)運,、卸料裝置的潛在應用場景,,并給出了其概念設計。本文為兩支鏈大轉(zhuǎn)角并聯(lián)機構(gòu)的高效運動學,、動力學建模與分析,,以及機構(gòu)性能優(yōu)化與樣機研發(fā)提供了理論依據(jù)。

    Abstract:

    According to the theory and method of topological structure design of parallel mechanism(PM) based on position and orientation characteristic (POC) equation, a 3-DOF asymmetric two-translation and one-rotation (2T1R) PM with zero coupling-degree and partial motion decoupling was firstly designed and analyzed, including the topological design process of the PM, and the main topological characteristics such as the degree-of-freedom and coupling degree κ. Secondly, according to the kinematic modeling method based on topological characteristics, the forward and inverse solutions of symbolic positions were found, from which the working space calculation of the PM was carried out based on the forward solution. At the same time, the position inverse equation was derived to obtain the Jacobian matrix of the PM, from which the velocity, acceleration and singularity of the PM were derived. Thirdly, the sequential single-chain method based on the principle of virtual work was used to carry out reverse dynamic modeling, and the driving force change curve of the actuated pair of the PM was obtained, the supporting reaction force of the kinematic pair at the sub-kinematic chain (SKC) connection were also obtained, which were then verified by ADAMS dynamic simulation. Finally, the potential application scenarios of this mechanism used as automatic material transfer and unloading device between conveyor belts with different heights were conceptually designed and analyzed. The research result can provide a theoretical basis for the efficient kinematics, dynamic modeling and analysis, performance optimization and prototype development of the twobranch parallel mechanism with larger rotation space and partial motion decoupling.

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沈惠平,朱晨陽,李菊,李濤.零耦合度部分運動解耦2T1R并聯(lián)機構(gòu)拓撲與性能研究[J].農(nóng)業(yè)機械學報,2023,54(2):419-429. SHEN Huiping, ZHU Chenyang, LI Ju, LI Tao. Topology and Performance Analysis of 2T1R Parallel Mechanism with Zero Coupling Degree and Motion Decoupling[J]. Transactions of the Chinese Society for Agricultural Machinery,2023,54(2):419-429.

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  • 收稿日期:2022-04-18
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  • 在線發(fā)布日期: 2022-05-19
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