关键词: 知情构造理论, 柔性机构, 拓扑优化, 材料属性描述

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