A Gradient-Free Topology Optimization Strategy for Continuum Structures with Design-Dependent Boundary Loads

被引：7

作者：

Zhan, Junjie ^{[1
,2
]}

Li, Jing ^{[3
]}

Liu, Pai ^{[1
]}

Luo, Yangjun ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Aeronaut & Astronaut, Dalian 116024, Peoples R China

[2] Hebei Univ Technol, Sch Architecture & Art Design, Tianjin 300130, Peoples R China

[3] China Acad Launch Vehicle Technol, Beijing 100076, Peoples R China

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 11期

基金：

中国国家自然科学基金;

关键词：

design-dependent loads; material-field series-expansion method; Kriging surrogate model; gradient-free topology optimization;

D O I：

10.3390/sym13111976

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, the topology optimization of continuum structures with design-dependent loads is studied with a gradient-free topology optimization method in combination with adaptive body-fitted finite element mesh. The material-field series-expansion (MFSE) model represents the structural topology using a bounded material field with specified spatial correlation and provides a crisp structural boundary description. This feature makes it convenient to identify the loading surface for the application of the design-dependent boundary loads and to generate a body-fitted mesh for structural analysis. Using the dimension reduction technique, the number of design variables is significantly decreased, which enables the use of an efficient Kriging-based algorithm to solve the topology optimization problem. The effectiveness of the proposed method is demonstrated using several numerical examples, among which a design problem with geometry and contact nonlinearity is included.

引用

页数：18

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