上海交通大学学报

上海交通大学学报 >

2021 , Vol. 55 >Issue 6: 764 - 773

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2019.301

基于变密度法的结构强度拓扑优化策略

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  • 上海交通大学 机械与动力工程学院, 上海 200240
丁卯(1993-),男,江苏省扬州市人,硕士生,主要从事结构拓扑优化方法及其应用.

收稿日期: 2019-10-22

  网络出版日期: 2021-06-30

基金资助

国家自然科学基金项目资助(51705311)

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Topology Optimization Strategy of Structural Strength Based on Variable Density Method

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  • School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 2019-10-22

  Online published: 2021-06-30

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摘要

基于变密度法的结构强度拓扑优化中,优化结果存在灰度单元,导致结构应力水平难以准确预测,后处理前后结构应力水平变化较大.该研究通过采用基于过滤-投影的结构参数化方法,实现在迭代优化过程中结构中间密度单元比例不断下降.通过研究结构比强度问题主要优化参数对寻优过程、优化结构强度的影响规律,提出了先结构拓扑优化、后近似形状优化的新优化策略.实现了在优化过程中对结构应力水平变化趋势的准确控制,在提升优化过程稳定性的同时,实现了结构强度优化.通过典型的优化算例验证了所提出优化方法的合理性及实用性.

关键词： 拓扑优化; 变密度法; 结构强度; 优化策略

本文引用格式

丁卯, 耿达, 周明东, 来新民 . 基于变密度法的结构强度拓扑优化策略[J]. 上海交通大学学报, 2021 , 55(6) : 764 -773 . DOI: 10.16183/j.cnki.jsjtu.2019.301

Abstract

In structural strength topology optimization based on the variable density method, there are gray cells in the optimization result, making it difficult to accurately predict the structural stress which changes greatly before and after post-processing. This paper uses a filter-projection-based structural parameterization method to achieve a continuous decrease in the proportion of structural intermediate density units during the iterative optimization process. By studying the influence of the main optimization parameters of the structural ratio strength problem on the optimization process and structural strength optimization, a novel optimization strategy of structural topology optimization followed by approximate shape optimization is proposed, which realizes the accurate control of the change of structural stress during the optimization process, achieveing structural strength optimization while improving the stability of the optimization process. Typical optimization examples verify the rationality and practicability of the proposed optimization method.

Key words： topology optimization; variable density method; structural strength; optimization strategy

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