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運(yùn)動(dòng)解耦且大工作空間三平移機(jī)構(gòu)拓?fù)湓O(shè)計(jì)
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國家自然科學(xué)基金項(xiàng)目(52375007,、51975062)和江蘇省產(chǎn)業(yè)前瞻與關(guān)鍵核心技術(shù)重點(diǎn)項(xiàng)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(jī)構(gòu)拓?fù)湓O(shè)計(jì)方法和運(yùn)動(dòng)解耦設(shè)計(jì)原理,,提出一個(gè)運(yùn)動(dòng)解耦性優(yōu)異的單回路三平移子并聯(lián)機(jī)構(gòu);設(shè)計(jì)一類4個(gè)具有正向位置符號(hào)化,、部分運(yùn)動(dòng)解耦性且具有較大工作空間的三平移(3T)并聯(lián)機(jī)構(gòu),;對這類機(jī)構(gòu)進(jìn)行拓?fù)涮匦苑治?,得到相同的方位特征?POC)、自由度(DOF),、耦合度(κ),、運(yùn)動(dòng)解耦性等主要拓?fù)涮匦裕粚ζ渲幸粋€(gè)機(jī)構(gòu)進(jìn)行運(yùn)動(dòng)學(xué),、動(dòng)力學(xué)性能分析,。根據(jù)基于拓?fù)涮卣鬟\(yùn)動(dòng)學(xué)建模原理,求出其符號(hào)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(jī)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(jìn)行其動(dòng)力學(xué)建模與分析,,求解出機(jī)構(gòu)的驅(qū)動(dòng)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(yùn)動(dòng)解耦且大工作空間三平移機(jī)構(gòu)拓?fù)湓O(shè)計(jì)[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),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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