基于知情構(gòu)造理論的單材料柔性機構(gòu)拓撲優(yōu)化

打開文本圖片集

關鍵詞：知情構(gòu)造理論；柔性機構(gòu);拓撲優(yōu)化；材料屬性描述

中圖分類號：TB472

DOI：10.3969/j.issn.1004-132X.2025.04.025 開放科學（資源服務）標識碼（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

柔性機構(gòu)是指能夠通過自身的可彎曲柔順性來完成某一特定任務的結(jié)構(gòu)，這種具有自身變形特性的現(xiàn)象在自然界中也能大量發(fā)現(xiàn)，如人的心臟、蜜蜂的翅膀、大象的鼻子，都是通過自身柔順性來實現(xiàn)特定任務的“柔性機構(gòu)”1]。（剩余13359字）