基于等效静态载荷法和结构基因库的动力学多尺度拓扑优化方法

林宪杰; 徐志昂; 郭桐桐; 卞慧雯; 郭旭; 杜宗亮

doi:10.6052/1000-0992-26-002

基于等效静态载荷法和结构基因库的动力学多尺度拓扑优化方法

doi: 10.6052/1000-0992-26-002 cstr: 32046.14.1000-0992-26-002

林宪杰¹,
徐志昂^{1, 2},
郭桐桐^{4, 5, 6},
卞慧雯⁴,
郭旭^{1, 3},
杜宗亮^{1, 3, ,}

1.
大连理工大学工程力学系, 工业装备结构分析优化与 CAE 软件全国重点实验室, 辽宁大连 116024
2.
大连理工大学白俄罗斯国立大学联合学院, 辽宁大连 116024
3.
大连工业软件创新发展研究院, 辽宁大连 116085
4.
中国船舶科学研究中心, 江苏无锡, 214082
5.
船舶结构安全全国重点实验室, 江苏无锡, 214082
6.
深海技术科学太湖实验室, 江苏无锡, 214082

详细信息

作者简介:
杜宗亮, 大连理工大学教授、博士生导师, 工程力学系副系主任. 主要研究方向为结构优化、先进结构/材料设计与计算固体力学, 在JMPS、CMAME、NSR等国内外期刊发表学术论文80余篇. 入选国家“万人计划”青年拔尖人才, 曾获亚洲结构与多学科优化学会青年科学家奖等荣誉. 现任中国力学学会计算力学专委会秘书, 中国力学学会固体力学专委会波动力学专业组成员, 《力学进展》编委, 《Computer & Structures》、《Acta Mechanica Sinica》和《Acta Mechanica Solida Sinica》青年编委

通讯作者:
zldu@dlut.edu.cn

中图分类号: O342
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- 文章访问数: 72
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- 被引次数: 0
出版历程
- 收稿日期: 2026-01-09
- 录用日期: 2026-02-27
- 网络出版日期: 2026-03-06

Dynamic multiscale topology optimization based on equivalent static load method and structural genome databases

LIN Xianjie¹,
XU Zhiang^{1, 2},
GUO Tongtong^{4, 5, 6},
BIAN Huiwen⁴,
GUO Xu^{1, 3},
DU Zongliang^{1, 3
, ,}

1.
Dalian University of Technology Department of Engineering Mechanics, State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Dalian 116024, China
2.
DUT-BSU Joint Institute, Dalian University of Technology, Dalian 116024, China
3.
Dalian Institute of Industrial Software, Dalian 116085, P.R. China
4.
China Ship Scientific Research Center, Wuxi 214082, China
5.
National Key Laboratory of Ship Structural Safety, Wuxi 214082, China
6.
Taihu Laboratory of Deepsea Technological Science, Wuxi 214082, China

More Information

Corresponding author: zldu@dlut.edu.cn

摘要

摘要: 本文提出了一种基于等效静态载荷法 (ESLM) 与结构基因库 (SGD) 的动力学多尺度拓扑优化方法. 该方法通过等效静态载荷法将复杂的瞬态动力学优化问题转化为多工况静态优化问题, 并结合结构基因库中预训练的图卷积神经网络 (GCNN) 模型替代渐近均匀化分析, 显著提升了计算效率. 在优化框架中, 采用移动可变形组件 (MMC) 方法描述宏观与微观结构, 实现了两尺度间的协同优化设计. 通过MBB梁结构在瞬态载荷作用下的数值算例验证了所提方法的有效性. 结果表明, 优化后结构的最大动柔顺度降低约20.80%, 平均动柔顺度降低51.44%, 载荷点最大位移幅值降低72.31%, 体现出该方法在动态工况下多尺度结构拓扑优化与抗冲击设计方面的优越性能和工程应用潜力.
- 多尺度拓扑优化 /
- 等效静态载荷 /
- 结构基因库 /
- 移动可变形组件 /
- 动力学响应优化
Abstract: A dynamic multiscale topology optimization method based on equivalent static load method (ESLM) and structural genome databases (SGD) is proposed in this paper. This method transforms the complex transient dynamics optimization problem into a multi-condition static optimization problem by ESLM, and replaces the asymptotic homogenization analysis with the pre-trained Graph Convolutional Neural Networks (GCNN) model in the structural genome databases, which significantly improves the computational efficiency. In the optimization framework, the Moving Morphable Component (MMC) method is used to describe the macro and micro structures, and the collaborative optimization design between the two scales is realized. The effectiveness of the proposed method is verified by a numerical example of MBB beam structure under transient load. The results show that the maximum strain energy of the optimized structure is reduced by about 20.80%, the average strain energy is reduced by 51.44%, and the maximum displacement amplitude of the load point is reduced by 72.31%. It shows the superior performance and engineering application potential of this method in multi-scale structural topology optimization and impact resistance design under dynamic conditions.
- multiscale topology optimization /
- equivalent static load /
- structural genome databases /
- Moving Morphable Component /
- dynamic response optimization

HTML全文

图 1 关键时刻筛选机制示意图

下载: 全尺寸图片幻灯片

图 2 (a) 基于移动可变形组件的多尺度拓扑优化结构示意图, (b) 二维线性变宽组件示意图

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图 3 (Hao et al. 2025a)(a) 结构基因库中由移动可变形组件法描述的$ {C}_{\text{4v}} $对称微观结构示意图, (b) 图卷积神经网络架构

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图 4 总体算法流程图

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图 6 (a) MBB梁结构示意图, (b) 载荷幅值曲线

下载: 全尺寸图片幻灯片

图 5 基于结构基因库的多尺度拓扑优化算法流程图

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图 7 (a) 优化结构与初始结构的动柔顺度时间曲线, (b) 优化结构与初始结构载荷点的Y向位移时间曲线

下载: 全尺寸图片幻灯片

图 8 (a) 双固支梁结构示意图, (b) 载荷幅值曲线

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图 9 双固支梁算例迭代曲线图

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表 1 初始结构和最终优化结构对比

宏观结构微观结构体积分数

初始结构宏观体积: 19.36%
微观体积: 39.79%

优化结构宏观体积: 19.97%
微观体积: 40.00%

下载: 导出CSV

表 2 初始结构和最终优化结构对比

宏观结构微观结构体积分数目标函数

初始结构宏观体积: 66.41%
微观体积: 39.36% 6.438

优化结构宏观体积: 50.00%
微观体积: 49.97% 0.9588

下载: 导出CSV

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