A Hole Nucleation Method Combining BESO and Topological Sensitivity for Level Set Topology Optimization.

Shuangyuan Cao,Jianbin Tong,Zhongqi Sheng,Hanbin Wang

doi:10.3390/ma14092119

Abstract

As is known to all, the incapacity to nucleate holes automatically in the design domain is one of the main issues of the classical level set topology optimization method. To solve the issue of hole nucleation, this paper employs the bi-directional evolutionary structural optimization (BESO) method based on the material removal scheme and the frequently used topological sensitivity and proposes the combining BESO and topological sensitivity (CBT) method for level set topology optimization. This method can replace the existing hole nucleation method for level set topology optimization. First, the topological sensitivity is combined with BESO, and the BESO method based on topological sensitivity is proposed. Second, the method is integrated into level set topology optimization to solve the issue of hole nucleation. Two sensitivity thresholds are defined depending on the evolutionary volume ratio and boundary topological sensitivity, respectively, and the smaller one is used as the sensitivity threshold for hole nucleation. The material is removed from the design domain to nucleate holes based on this threshold. Three classical two-dimensional numerical examples are used to validate the proposed hole nucleation method.

Highlights

The topology optimization method can achieve the optimal distribution of materials in a specific area according to the given design domain, boundary conditions and loads
There are many methods proposed for structural topology optimization, such as the homogenization method [1,2,3,4,5], solid isotropic material with penalization (SIMP)
Xia et al [30] proposed a bi-directional evolutionary structural optimization (BESO) method based on the material removal scheme which automatically inserts holes in the optimization process

Summary

Introduction

The topology optimization method can achieve the optimal distribution of materials in a specific area according to the given design domain, boundary conditions and loads. This method, which is not restricted by the experience of designers, can obtain novel high-quality structural configurations. Method [6,7,8,9], (bi-directional) evolutionary structural optimization method [10,11,12,13,14], moving morphable components (MMC) method [15,16,17,18], level set method [19,20,21,22,23,24,25], etc. The level set method can naturally perform boundary merging and movement

Objectives

Methods

Conclusion