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基于結(jié)構(gòu)相似性的并聯(lián)機(jī)構(gòu)拓?fù)渑c尺寸同步設(shè)計(jì)方法
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國(guó)家自然科學(xué)基金項(xiàng)目(52275027)


Topology and Dimension Synchronization Design Method for Parallel Mechanisms Based on Structural Similarity
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    摘要:

    隨著并聯(lián)機(jī)構(gòu)從單一尺寸設(shè)計(jì)和拓?fù)湓O(shè)計(jì)向兩者融合方向不斷發(fā)展,基于拓?fù)浏B加-再懲罰和全變量正交設(shè)計(jì)-再拓?fù)涞耐皆O(shè)計(jì)方法得到廣泛應(yīng)用,但兩者存在設(shè)計(jì)效率低等不足。為解決上述問(wèn)題,本文提出了一種基于結(jié)構(gòu)相似性的并聯(lián)機(jī)構(gòu)拓?fù)渑c尺寸同步設(shè)計(jì)方法,該方法拓?fù)鋬?yōu)化時(shí)以相同質(zhì)量保留此條件下尺寸參數(shù)小范圍變化對(duì)拓?fù)浣Y(jié)構(gòu)微弱影響為切入點(diǎn),通過(guò)拓?fù)浣Y(jié)構(gòu)參數(shù)化縮放和剛度-質(zhì)量元模型構(gòu)建,形成并聯(lián)機(jī)構(gòu)尺寸-拓?fù)渫礁咝гO(shè)計(jì)流程。以典型3-P-RS并聯(lián)機(jī)構(gòu)為例開(kāi)展算例驗(yàn)證與對(duì)比分析,結(jié)果表明,相同質(zhì)量條件下,所提設(shè)計(jì)方法比尺寸設(shè)計(jì)方法得到的各向剛度更高,即拓?fù)鋬?yōu)化使RS連桿的材料分布更加合理。

    Abstract:

    Parallel mechanisms have the advantages of strong reconfigurability, excellent dynamic performance, and high accuracy, and have been widely used in aerospace and other fields. As an important branch of parallel mechanism research, design has significant value and development prospects, so many researchers have made great efforts and achieved many results in this area. However, with the continuous advancement of parallel mechanisms, from single-dimension and topology designs to their integration, synchronous design methods based on topology superposition and full-variable orthogonal design have undergone extensive research and application. Nonetheless, these methods exhibit notable drawbacks, such as low design efficiency. To address these concerns, a method for designing parallel mechanisms that synchronizes topology and dimension was presented based on structural similarity. The method used slight variations in dimensional parameters while maintaining the same mass retention ratio during topology optimization as the starting point. It then employed topology parameterization scaling and stiffness-mass metamodels construction to efficiently synchronize dimension and topology for parallel mechanisms. Using a typical 3-P-RS parallel mechanism as an instance, numerical verification and a comparative analysis were conducted. The findings demonstrated that under the same mass conditions, the proposed design method obtained greater isotropic stiffness compared with traditional dimension design methods. In summary, topology optimization made the material distribution of RS links more reasonable. This research not only offerred beneficial guidance for producing physical 3-P-RS parallel mechanism prototypes, but also established a theoretical basis for designing other parallel mechanisms.

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王猛,林文琦,崔青春,宋軼民,孫濤.基于結(jié)構(gòu)相似性的并聯(lián)機(jī)構(gòu)拓?fù)渑c尺寸同步設(shè)計(jì)方法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2024,55(4):431-439. WANG Meng, LIN Wenqi, CUI Qingchun, SONG Yimin, SUN Tao. Topology and Dimension Synchronization Design Method for Parallel Mechanisms Based on Structural Similarity[J]. Transactions of the Chinese Society for Agricultural Machinery,2024,55(4):431-439.

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  • 收稿日期:2024-01-16
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  • 在線發(fā)布日期: 2024-04-10
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