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運動解耦且大工作空間三平移機構(gòu)拓撲設(shè)計
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國家自然科學基金項目(52375007,、51975062)和江蘇省產(chǎn)業(yè)前瞻與關(guān)鍵核心技術(shù)重點項目(BE2021016-2)


Topological Design and Analysis for Parallel Mechanisms with Motion Decoupling and Larger Workspace
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    摘要:

    根據(jù)基于方位特征(POC)方程的并聯(lián)機構(gòu)拓撲設(shè)計方法和運動解耦設(shè)計原理,提出一個運動解耦性優(yōu)異的單回路三平移子并聯(lián)機構(gòu),;設(shè)計一類4個具有正向位置符號化,、部分運動解耦性且具有較大工作空間的三平移(3T)并聯(lián)機構(gòu);對這類機構(gòu)進行拓撲特性分析,,得到相同的方位特征集(POC),、自由度(DOF)、耦合度(κ),、運動解耦性等主要拓撲特性;對其中一個機構(gòu)進行運動學,、動力學性能分析,。根據(jù)基于拓撲特征運動學建模原理,,求出其符號化位置正反解,以及速度,、加速度曲線,;基于推導(dǎo)出的位置逆解公式,分析機構(gòu)的奇異位形及工作空間,;根據(jù)基于序單開鏈的虛功原理,,進行其動力學建模與分析,求解出機構(gòu)的驅(qū)動力,。

    Abstract:

    According to the topological design method of parallel mechanism based on position and orientation characteristics (POC) equation and the principle of motion decoupling, a three-translation parallel mechanism(PM) with single loop and full motion decoupling was proposed and analyzed. On the basis of this single-loop PM, a third branch chain was added, and then a class of four three-translation (3T) parallel mechanisms with symbolic forward position solutions and partial motion decoupling as well as large working space was designed. Their topological characteristics were analyzed, and the main topological characteristics such as POC, degree of freedom (DOF), coupling degree (κ) and motion decoupling property were obtained. The kinematics and dynamics performance of one of the PMs were analyzed, including the symbolic forward and inverse position solutions according to the principle of kinematic modeling based on topological characteristics. The velocity and acceleration curves were also obtained. Based on the derived Jacobian matrix, the conditions of mechanism singularity were analyzed. According to the deduced inverse position solution formula, the workspace of the PM was analyzed. According to the virtual work principle based on sequence single-open-chains, the dynamic modeling and analysis were carried out to solve the driving force of the PM. The correctness of the dynamic equation was verified by Matlab numerical calculation and ADAMS simulation.The three-translation PMs can be used in industrial space grasping, machining, three-dimensional error compensation and so on.

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沈惠平,潘海月,丁文芹,李菊,杜中秋,李濤.運動解耦且大工作空間三平移機構(gòu)拓撲設(shè)計[J].農(nóng)業(yè)機械學報,2024,55(4):421-430. SHEN Huiping, PAN Haiyue, DING Wenqin, LI Ju, DU Zhongqiu, LI Tao. Topological Design and Analysis for Parallel Mechanisms with Motion Decoupling and Larger Workspace[J]. Transactions of the Chinese Society for Agricultural Machinery,2024,55(4):421-430.

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  • 收稿日期:2023-08-19
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  • 在線發(fā)布日期: 2024-04-10
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