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3-PUS-PU柔順并聯(lián)機(jī)構(gòu)運(yùn)動(dòng)學(xué)分析與優(yōu)化設(shè)計(jì)
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國(guó)家自然科學(xué)基金項(xiàng)目(51775475)和河北省軍民融合項(xiàng)目(2020B030)


Kinematic Analysis and Optimal Design of 3-PUS-PU Compliant Parallel Mechanism
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    摘要:

    提出一種具有高精度、高剛度的3-PUS-PU柔順并聯(lián)機(jī)構(gòu),并對(duì)該機(jī)構(gòu)進(jìn)行運(yùn)動(dòng)學(xué)分析及優(yōu)化設(shè)計(jì)。根據(jù)柔性鉸鏈結(jié)構(gòu)與機(jī)構(gòu)間幾何關(guān)系,對(duì)3-PUS-PU柔順并聯(lián)機(jī)構(gòu)的運(yùn)動(dòng)原理進(jìn)行闡述,并分析了該機(jī)構(gòu)運(yùn)動(dòng)特性。采用空間閉環(huán)矢量法建立機(jī)構(gòu)的運(yùn)動(dòng)學(xué)模型,對(duì)機(jī)構(gòu)的輸入-輸出關(guān)系和速度特性進(jìn)行了分析?;诹W(xué)理論,通過(guò)求解柔性鉸鏈的極限轉(zhuǎn)角,對(duì)機(jī)構(gòu)的工作空間進(jìn)行分析。根據(jù)機(jī)構(gòu)的工作要求,提出定位精度指標(biāo)和緊湊性指標(biāo),并進(jìn)一步分析機(jī)構(gòu)幾何尺寸參數(shù)對(duì)其性能指標(biāo)的影響?;谔岢龅男阅苤笜?biāo),采用粒子群優(yōu)化算法對(duì)機(jī)構(gòu)的結(jié)構(gòu)尺寸參數(shù)進(jìn)行優(yōu)化設(shè)計(jì)。結(jié)果表明,相比優(yōu)化前,優(yōu)化后的柔順并聯(lián)機(jī)構(gòu)的定位精度提高25%,緊湊性提高81%,機(jī)構(gòu)整體運(yùn)動(dòng)性能有了較大的提升,為后續(xù)樣機(jī)研制提供了參考依據(jù)。

    Abstract:

    The 3-PUS-PU compliant parallel mechanism with high precision and high stiffness was proposed. Its kinematic analysis and optimization design were carried out. According to the structure of the flexible hinges and the geometric relations of mechanisms, the motion principle of 3-PUS-PU compliant parallel mechanism was described, and the motion characteristics of the mechanism were analyzed. The kinematics model of the mechanism was established by the closedloop vector method, and the input-output relationship and velocity characteristics of the mechanism were analyzed. Then, the limit angle of flexure hinges was analyzed based on the theory of elasticity. According to constraint conditions and geometric parameters, the workspace of the mechanism was obtained by the numerical search method. According to the work requirements of the mechanism, the performances of positioning accuracy and compact were proposed. Then, the influence of structure parameters of the mechanism on the performances were analyzed. Finally, the particle swarm optimization algorithm was adopted to optimize the size parameters of the mechanism. Compared with the original mechanism, the optimal mechanism was improved by 25% and 81% for positioning accuracy and compactness, respectively. The results showed that the optimal mechanism performance of the kinematics was good. It can provide guidance for the subsequent prototype development.

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周亞杰,李仕華,徐奇,張鳳奎.3-PUS-PU柔順并聯(lián)機(jī)構(gòu)運(yùn)動(dòng)學(xué)分析與優(yōu)化設(shè)計(jì)[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2022,53(9):417-424. ZHOU Yajie, LI Shihua, XU Qi, ZHANG Fengkui. Kinematic Analysis and Optimal Design of 3-PUS-PU Compliant Parallel Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2022,53(9):417-424.

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  • 收稿日期:2021-09-27
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  • 在線發(fā)布日期: 2022-09-10
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