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Delta并聯(lián)機(jī)器人運(yùn)動(dòng)學(xué)性能分析與結(jié)構(gòu)參數(shù)優(yōu)化
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云南省基礎(chǔ)研究計(jì)劃項(xiàng)目(202301AU070059)和云南省科技廳重大專項(xiàng)項(xiàng)目(202002AC080001)


Kinematic Performance Analysis and Structural Parameter Optimization of Delta Parallel Robot
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    摘要:

    Delta并聯(lián)機(jī)器人具有速度快、結(jié)構(gòu)簡(jiǎn)單,、承載力強(qiáng)等優(yōu)點(diǎn),,在缽苗移栽、產(chǎn)品分揀與包裝中應(yīng)用廣泛,。針對(duì)目前Delta并聯(lián)機(jī)器人各結(jié)構(gòu)參數(shù)對(duì)運(yùn)動(dòng)學(xué)性能的影響及系統(tǒng)性結(jié)構(gòu)參數(shù)優(yōu)化設(shè)計(jì)缺乏完整理論體系的問題,,本文分析可達(dá)工作空間雅可比矩陣條件數(shù)分布規(guī)律、結(jié)構(gòu)參數(shù)約束關(guān)系,、運(yùn)動(dòng)學(xué)性能隨結(jié)構(gòu)參數(shù)的變化規(guī)律及相關(guān)性,,獲得條件數(shù)分布特性和失真約束條件,在此基礎(chǔ)上得出動(dòng)靜平臺(tái)半徑差和主動(dòng)臂長(zhǎng)度增加和從動(dòng)桿長(zhǎng)度減小能夠使得機(jī)構(gòu)性能較優(yōu)。給定設(shè)計(jì)工作空間,,對(duì)原結(jié)構(gòu)進(jìn)行參數(shù)優(yōu)化設(shè)計(jì),,通過建立包絡(luò)懲罰函數(shù),采用多元非線性擬合與線性加權(quán)組合法得到運(yùn)動(dòng)學(xué)性能評(píng)價(jià)函數(shù),,結(jié)合條件數(shù)分布特性和失真約束條件建立優(yōu)化模型,,利用遺傳算法進(jìn)行優(yōu)化。相較于優(yōu)化前,,優(yōu)化后可達(dá)工作空間體積減小14.26%,設(shè)計(jì)工作空間的全局條件數(shù)均值和全局條件數(shù)標(biāo)準(zhǔn)差分別減小31.20%和11.78%,,且設(shè)計(jì)工作空間各截面條件數(shù)分布規(guī)律驗(yàn)證了條件數(shù)分布特性的可靠性,。

    Abstract:

    Delta parallel robot has the advantages of fast speed, simple structure and strong bearing capacity, and is widely used in pot seedling transplanting, product sorting and packaging. Aiming at the problems of the analysis of the influence of structural parameters on the kinematics performance of Delta parallel robot and the complete theoretical system for the optimization design of systematic structural parameters, the distribution of condition numbers and the distortion constraint conditions were obtained by analyzing the distribution law of the Jacobian matrix condition in accessible workspace, the constraint relation of structural parameters, and the change law and correlation of kinematic performance with structural parameters. On this basis, it was concluded that the increase of the radius difference of dynamic and static platform, the increase of the length of the driving arm and the decrease of the length of the driven rod can make the mechanism performance better. Then, given the design workspace, the parameters of the original structure were optimized. The optimization model was established combining the condition number distribution characteristics and distortion constraints, the envelope penalty function and the kinematic performance evaluation function that was obtained by using multivariate nonlinear fitting and linear weighted grouping method, and the genetic algorithm was used to optimize the structure. Compared with before optimization, while the volume of the accessible workspace was reduced by 14.26%, the mean value and standard deviation of the global condition number in the design workspace were reduced by 31.20% and 11.78% respectively after optimization. Moreover, the distribution law of the condition number in each section of the design workspace verified the reliability of the condition number distribution characteristics. It provided a reference for the structure optimization and performance analysis of Delta parallel robot.

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傘紅軍,楊曉園,陳久朋,吳興梅,張?zhí)柋?徐貝. Delta并聯(lián)機(jī)器人運(yùn)動(dòng)學(xué)性能分析與結(jié)構(gòu)參數(shù)優(yōu)化[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2024,55(8):446-458. SAN Hongjun, YANG Xiaoyuan, CHEN Jiupeng, WU Xingmei, ZHANG Haobin, XU Bei. Kinematic Performance Analysis and Structural Parameter Optimization of Delta Parallel Robot[J]. Transactions of the Chinese Society for Agricultural Machinery,2024,55(8):446-458.

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  • 收稿日期:2024-05-12
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  • 在線發(fā)布日期: 2024-08-10
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