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基于PCA/PSO的3T1R并聯(lián)機構(gòu)性能優(yōu)化
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國家自然科學(xué)基金項目(52204215)


Performance Optimization of 3T1R Parallel Mechanism Based on PCA/PSO
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    摘要:

    根據(jù)少自由度并聯(lián)機構(gòu)應(yīng)用廣泛的優(yōu)點,提出了一種3T1R并聯(lián)機構(gòu),該機構(gòu)具有構(gòu)型簡單、結(jié)構(gòu)對稱、定位精度高等特點,可應(yīng)用于小范圍的精密操作,或者是大范圍的搬運、分揀以及噴涂等領(lǐng)域?;诜轿惶卣鞣匠痰耐負浞治隼碚?,對該并聯(lián)機構(gòu)完成了自由度種類以及數(shù)目的分析與驗證;基于閉環(huán)矢量法完成了運動學(xué)模型建立,并通過位置正逆解算例驗證了運動學(xué)的合理性?;谖恢媚娼夥匠汤脴O限邊界搜索法分析了3T1R并聯(lián)機構(gòu)可達工作空間;通過速度分析建立了速度雅可比矩陣,并根據(jù)該矩陣分析機構(gòu)的定位精度與可操作度性能指標。利用主成分分析(PCA)與粒子群算法(PSO)對3個性能指標進行優(yōu)化設(shè)計,并對優(yōu)化結(jié)果進行了分析,最終優(yōu)化后可達工作空間體積從0.2933m3提高到0.4231m3,定位精度誤差放大因子從15.5044減小至4.4308,可操作度指數(shù)從9.7027減小至1.3996。

    Abstract:

    Based on the widely used advantages of low degree of freedom parallel mechanisms (PM), a new-type three translation one rotation (3T1R) parallel mechanism was proposed, which had the characteristics of simple configuration, symmetrical structure, and high positioning accuracy. It can be applied to small-scale precision operations, as well as large-scale transportation, sorting, and spraying major industrial fields. Based on the topology analysis theory of orientation characteristic equation, the azimuth feature set of position and orientation characteristic (POC) was obtained, and the type and number of degrees of freedom (DOF) of the parallel mechanism were analyzed and verified. A kinematic model was established based on the closed-loop vector method, and the rationality of kinematics was verified through a positional forward and inverse solution example and the results indicated that the kinematic model was completely correct. The reachable workspace’s three-dimensional point cloud picture of the 3T1R parallel mechanism was analyzed by using the limit boundary search method based on the position inverse solution equation. A velocity Jacobian matrix was established through velocity analysis, and based on it, the positioning accuracy and operability performance indicators of the mechanism were analyzed. The PCA/PSO algorithm was used to optimize the design of the reachable workspace, positioning accuracy and operability as three performance indicators, and the optimization results were compared and analyzed. The final optimized reachable workspace volume was increased from 0.2933m3 to 0.4231m3, the positioning accuracy error amplification factor was decreased from 15.5044 to 4.4308, and the operability index was decreased from 9.7027 to 1.3996.

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蒲志新,潘玉奇,郭建偉,程軼,白楊溪.基于PCA/PSO的3T1R并聯(lián)機構(gòu)性能優(yōu)化[J].農(nóng)業(yè)機械學(xué)報,2024,55(6):404-413. PU Zhixin, PAN Yuqi, GUO Jianwei, CHENG Yi, BAI Yangxi. Performance Optimization of 3T1R Parallel Mechanism Based on PCA/PSO[J]. Transactions of the Chinese Society for Agricultural Machinery,2024,55(6):404-413.

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  • 收稿日期:2023-10-12
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  • 在線發(fā)布日期: 2024-06-10
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