基于可行域调整的多相材料结构拓扑优化设计

俞燎宏; 荣见华; 唐承铁; 李方义

doi:10.7527/S1000-6893.2018.22023

航空学报 >

2018 , Vol. 39 >Issue 9: 222023 - 222039

DOI: https://doi.org/10.7527/S1000-6893.2018.22023

固体力学与飞行器总体设计

基于可行域调整的多相材料结构拓扑优化设计

俞燎宏 ,
荣见华 ,
唐承铁 ,
李方义

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1. 长沙理工大学汽车与机械工程学院, 长沙 410114;
2. 宜春学院物理科学与工程技术学院, 宜春 336000;
3. 长沙理工大学工程车辆安全性设计与可靠性技术湖南省重点实验室, 长沙 410114

收稿日期: 2018-01-17

修回日期: 2018-02-09

网络出版日期: 2018-05-07

基金资助

国家自然科学基金（11772070，11372055）；江西省教育厅科技项目（GJJ170893）

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Multi-phase material struclural topology optimization design based on feasible domain adjustment

YU Liaohong ,
RONG Jianhua ,
TANG Chengtie ,
LI Fangyi

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1. School of Automotive and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410114, China;
2. School of Physical Science and Technology, Yichun University, Yichun 336000, China;
3. Hunan Province Key Laboratory of Lightweight and Reliability Technology for Engineering Vehicle, Changsha University of Science and Technology, Changsha 410114, China

Received date: 2018-01-17

Revised date: 2018-02-09

Online published: 2018-05-07

Supported by

National Natural Science Foundation of China (11772070,11372055); Science Foundation of Jiangxi Educational Committee (GJJ170893)

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摘要

针对多相材料结构柔顺度拓扑优化问题及其存在多个局部优化解的情况，提出一种新的多相材料结构柔顺度拓扑优化问题的求解方法，并研究其获得多个局部优化解及寻找较好的优化解的能力。基于材料属性有理近似（RAMP）模型，引入可行域调整技术，构建多相材料结构拓扑优化模型及近似优化模型。提出一种改进的交替主动相算法，该算法将多相材料结构拓扑近似优化模型分解为多个含2个主动相材料体积约束的系列二元相拓扑优化子模型，并利用光滑化对偶算法进行优化求解。与现有方法相比，采用多个不同的优化初始拓扑，提出的方法可找到更优的多相材料结构拓扑，且为多相材料结构拓扑优化的多样性设计提供了一种有价值的思路与方法。

关键词： 结构拓扑优化; 可行域调整; 多相材料; 交替主动相算法; 光滑化对偶算法

本文引用格式

俞燎宏 , 荣见华 , 唐承铁 , 李方义 . 基于可行域调整的多相材料结构拓扑优化设计[J]. 航空学报, 2018 , 39(9) : 222023 -222039 . DOI: 10.7527/S1000-6893.2018.22023

Abstract

For the multi-phase material structural compliance topology optimization problem and the existence of multiple local optimization solutions, a new solution method is proposed, and the ability of the method to get multiple local optimization solutions and to find a better optimization solution are investigated. Based on the Rational Approximation of Material Properties (RAMP) model, the feasible domain adjustment technology is introduced to construct a model for multi-phase material structural topology optimization model and its approximate model. A modified alternating active-phase algrithom is proposed, in which the multi-phase material topology optimization problem is divided into some two-phase topology optimization sub-problems, which may include two real material volume constraints. And the sub-problems are solved by the smooth dual algorithm. Compared with the existed methods, the proposed method can obtain a different local optimal topology starting from a different initial topology, and can also obtain a better local optimal multi-phase material topology by using various initial topologies. And the proposed method gives a valuable idea and a multiple design approach to solve the multi-material structural topology optimization problem.

Key words： structural topology optimization; feasible domain adjustment; multi-phase material; alternating active-phase algorithm; smooth dual algorithm

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