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Delta并聯(lián)機器人運動學性能分析與結構參數(shù)優(yōu)化
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云南省基礎研究計劃項目(202301AU070059)和云南省科技廳重大專項項目(202002AC080001)


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

    Delta并聯(lián)機器人具有速度快、結構簡單、承載力強等優(yōu)點,在缽苗移栽、產(chǎn)品分揀與包裝中應用廣泛。針對目前Delta并聯(lián)機器人各結構參數(shù)對運動學性能的影響及系統(tǒng)性結構參數(shù)優(yōu)化設計缺乏完整理論體系的問題,本文分析可達工作空間雅可比矩陣條件數(shù)分布規(guī)律、結構參數(shù)約束關系、運動學性能隨結構參數(shù)的變化規(guī)律及相關性,獲得條件數(shù)分布特性和失真約束條件,在此基礎上得出動靜平臺半徑差和主動臂長度增加和從動桿長度減小能夠使得機構性能較優(yōu)。給定設計工作空間,對原結構進行參數(shù)優(yōu)化設計,通過建立包絡懲罰函數(shù),采用多元非線性擬合與線性加權組合法得到運動學性能評價函數(shù),結合條件數(shù)分布特性和失真約束條件建立優(yōu)化模型,利用遺傳算法進行優(yōu)化。相較于優(yōu)化前,優(yōu)化后可達工作空間體積減小14.26%,設計工作空間的全局條件數(shù)均值和全局條件數(shù)標準差分別減小31.20%和11.78%,且設計工作空間各截面條件數(shù)分布規(guī)律驗證了條件數(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)機器人運動學性能分析與結構參數(shù)優(yōu)化[J].農(nóng)業(yè)機械學報,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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