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末端鉸接三平動(dòng)并聯(lián)機(jī)構(gòu)設(shè)計(jì)與性能優(yōu)化
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國(guó)家自然科學(xué)基金項(xiàng)目(52175243、52005368)和天津市教委科研計(jì)劃項(xiàng)目(2019KJ012)


Design and Performance Optimization of 3-DOF Translational Parallel Mechanism with Hinged End Structure
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    摘要:

    針對(duì)高性能3D打印需求,,提出了一種結(jié)構(gòu)簡(jiǎn)潔且高效的三平動(dòng)(3T)并聯(lián)機(jī)器人,。首先,為得到期望的自由度構(gòu)型,,提出一種拓?fù)溲莼O(shè)計(jì)方法,,即將一種三平一轉(zhuǎn)自由度(3T1R)并聯(lián)機(jī)構(gòu)作為初始構(gòu)型,根據(jù)螺旋理論解析該機(jī)構(gòu)自由度及其性質(zhì),,在此基礎(chǔ)上,,將動(dòng)平臺(tái)向其中心無限縮聚至一點(diǎn),并使3條支鏈的末端連桿鉸接于該點(diǎn),,進(jìn)而對(duì)機(jī)構(gòu)的末端鉸接桿進(jìn)行再設(shè)計(jì),,最終演化得到一種僅存在轉(zhuǎn)動(dòng)副且末端含鉸接結(jié)構(gòu)的三平動(dòng)并聯(lián)機(jī)構(gòu)。其次,,根據(jù)輸入關(guān)節(jié)與末端鉸接點(diǎn)之間的關(guān)系,,采用幾何投影法和閉環(huán)矢量法構(gòu)建該并聯(lián)機(jī)構(gòu)的運(yùn)動(dòng)學(xué)方程,推導(dǎo)其位置正/逆解,,并進(jìn)一步得到速度雅可比矩陣,,進(jìn)而建立速度和加速度映射模型。隨后,,利用分層切片的搜索算法,,預(yù)估機(jī)器人工作空間,并分析其奇異性,。為綜合評(píng)估機(jī)器人性能,,對(duì)機(jī)構(gòu)靈巧度、速度,、承載力及剛度性能指標(biāo)進(jìn)行分析,,進(jìn)而提出一種多目標(biāo)優(yōu)化設(shè)計(jì)模型,并據(jù)此開展尺度綜合,,獲得最優(yōu)尺度參數(shù),。最后,借助多體動(dòng)力學(xué)軟件進(jìn)行軌跡跟蹤仿真校驗(yàn),。研究結(jié)果表明,,該并聯(lián)機(jī)器人結(jié)構(gòu)簡(jiǎn)潔緊湊,性能優(yōu)良,,為其后續(xù)實(shí)體樣機(jī)制造及實(shí)際應(yīng)用奠定了理論基礎(chǔ),。

    Abstract:

    To meet the requirement of high-performance 3D printing, a three-translational (3T) parallel manipulator with simple structure and high efficiency was proposed. Firstly, in order to obtain the desired degree of freedom configuration, a topological evolution design method was proposed, that was, a parallel mechanism with 3-DOF translations and 1-DOF rotation (3T1R) was taken as the initial configuration. According to the screw theory, the degree of freedom and its properties of the mechanism were analyzed. On this basis, the moving platform was infinitely converged to a point, and the end connecting rods of the three branches were hinged at this point. Then the end hinged rod of the mechanism was redesigned. Thus, a three-translational parallel mechanism with only revolute pairs and end hinged structure was obtained. Secondly, based on the relationship between the input joint and the end articulated point, the kinematic equations of the parallel mechanism were constructed by using the geometric projection method and the closed-loop vector method, the position forward/reverse solutions were derived, and the velocity Jacobian matrix was further obtained, and then the velocity and acceleration models were formulated. Subsequently, the hierarchical slicing search algorithm was employed to predict the workspace of manipulator, and then the singularities were analyzed. To comprehensively evaluate the performance of manipulator, the dexterity, speed, load carrying capacity and stiffness performance indexes of the mechanism were analyzed, and then a multi-objective optimization design model was proposed, and the optimal dimension parameters were obtained through dimensional synthesis. Finally, trajectory tracking simulation verification was carried out by using multi-body dynamics software. The research results manifested that the parallel manipulator had a simple and compact structure and excellent performance, which laid a theoretical foundation for its subsequent prototype manufacturing and practical application in future.

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梁棟,劉軍,暢博彥,金國(guó)光.末端鉸接三平動(dòng)并聯(lián)機(jī)構(gòu)設(shè)計(jì)與性能優(yōu)化[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2022,53(10):446-458. LIANG Dong, LIU Jun, CHANG Boyan, JIN Guoguang. Design and Performance Optimization of 3-DOF Translational Parallel Mechanism with Hinged End Structure[J]. Transactions of the Chinese Society for Agricultural Machinery,2022,53(10):446-458.

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  • 收稿日期:2021-11-26
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  • 在線發(fā)布日期: 2021-12-21
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