基于知情构造理论的单材料柔性机构拓扑优化
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关键词：知情构造理论；柔性机构;拓扑优化；材料属性描述
中图分类号：TB472
DOI：10.3969/j.issn.1004-132X.2025.04.025 开放科学（资源服务）标识码（OSID）：
Topology Optimization of Single Material Flexible Mechanisms Based on Informed Tectonics Theory
SU Ke1∗ WANG Ying1LIANG Tengteng1 WEI Yili² ZHANG Nannan² 1.School of Art and Design，Qilu University of Technology（Shandong Academy of Sciences）， Jinan，250353 2.Weihai Guangtai Airport Equipment Co.，Ltd.，Weihai，Shandong，264200
Abstract： In the topology optimization proceses，the number of subdomains would increase，so that the material distribution would occur at the junctions between the outer diameter and the inner diameter，and the too little optimization spaces in the subdomain of topology design would affect the overall performance of the structures. Therefore，the topological optimization models of single material flexible mechanisms were proposed based on the ITT. Through the description of material properties and attribute parameter calculation，the models made the value of the design subdomain number on the basis of adapting to the material characteristics and distribution of materials，so as to ensure that the structures had enough optimization spaces. Aiming at the maximum geometric gain of the mechanisms，the topological optimization models of single material flexible mechanisms were established based on the element-free Galerkin（EFG）.In the topology optimization processes，the grid-fess Galerkin method was introduced to construct the EFG relative density field，and the EFG nodes in the design domain were used to construct the deformation function. Under the conditions that the material properties were effectively described in advance，the nodes might be flexibly arranged，so as to avoid the phenomenon of numerical instability，which might affect the performance optimization effectiveness. The typical analysis examples demonstrate the effectiveness of the proposed method.
Key words： informed tectonics theory（ITT）； flexible mechanism；; topology optimization; material property description
0 引言
柔性机构是指能够通过自身的可弯曲柔顺性来完成某一特定任务的结构，这种具有自身变形特性的现象在自然界中也能大量发现，如人的心脏、蜜蜂的翅膀、大象的鼻子，都是通过自身柔顺性来实现特定任务的“柔性机构”1]。（剩余13359字）