基于结构相似性的并联机构拓扑与尺寸同步设计方法  

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

作　　者：王猛 林文琦 崔青春[1] 宋轶民[2] 孙涛[2] WANG Meng;LIN Wenqi;CUI Qingchun;SONG Yimin;SUN Tao(Northwest Institute of Mechanical and Electrical Engineering,Xianyang 712099,China;School of Mechanical Engineering,Tianjin University,Tianjin 300350,China)

机构地区：[1]西北机电工程研究所,咸阳712099 [2]天津大学机械工程学院,天津300350

出　　处：《农业机械学报》2024年第4期431-439,共9页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家自然科学基金项目(52275027)。

摘　　要：随着并联机构从单一尺寸设计和拓扑设计向两者融合方向不断发展,基于拓扑叠加-再惩罚和全变量正交设计-再拓扑的同步设计方法得到广泛应用,但两者存在设计效率低等不足。为解决上述问题,本文提出了一种基于结构相似性的并联机构拓扑与尺寸同步设计方法,该方法拓扑优化时以相同质量保留此条件下尺寸参数小范围变化对拓扑结构微弱影响为切入点,通过拓扑结构参数化缩放和刚度-质量元模型构建,形成并联机构尺寸-拓扑同步高效设计流程。以典型■RS并联机构为例开展算例验证与对比分析,结果表明,相同质量条件下,所提设计方法比尺寸设计方法得到的各向刚度更高,即拓扑优化使RS连杆的材料分布更加合理。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 ■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 ■RS parallel mechanism prototypes,but also established a theoretical basis for designing other parallel mechanisms.

关 键 词：并联机构 结构相似性 尺寸设计 拓扑优化 同步设计 

分 类 号：TH112[机械工程—机械设计及理论]