Structural topology optimization based on deep learning

IF 3.8 2区 物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Journal of Computational Physics Pub Date : 2024-10-15 DOI:10.1016/j.jcp.2024.113506
Yingning Gao, Sizhu Zhou, Meiqiu Li
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Abstract

In the mechanical design of structures, traditional topology optimization methods involve numerous finite element iterative analyses, leading to a significant expenditure of computational resources. Therefore, the improved multi-scale gradient generative adversarial networks topology optimization technique is proposed. The topology optimization condition parameters are compressed into a low-dimensional latent space feature representation using the encoder, allowing the model to better extract features from these parameters. To speed up model training, the generator and discriminator networks use lightweight residual convolutional blocks. The hybrid attention mechanism extracts prominent region features from the topology optimization structure map. The model training process is guided by a multi-dimensional fusion loss function to enhance the quality of generated model samples. Finally, transferring the parameters of the low-resolution topology optimization model to the high-resolution model enables complete training on a limited amount of high-resolution topology optimization datasets. The experimental data on the low- and high-resolution topology optimization datasets demonstrate that, when compared to alternative methods, this method produces better-quality topology optimization structure maps. Additionally, it can generate high-resolution topology optimization structure maps in minimal time, enabling real-time topology optimization.
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基于深度学习的结构拓扑优化
在结构的机械设计中,传统的拓扑优化方法涉及大量的有限元迭代分析,导致计算资源的大量消耗。因此,本文提出了改进的多尺度梯度生成对抗网络拓扑优化技术。拓扑优化条件参数通过编码器压缩成低维潜在空间特征表示,使模型能更好地从这些参数中提取特征。为了加快模型训练,生成器和判别器网络使用了轻量级残差卷积块。混合注意力机制从拓扑优化结构图中提取突出的区域特征。模型训练过程由多维融合损失函数引导,以提高生成模型样本的质量。最后,将低分辨率拓扑优化模型的参数转移到高分辨率模型中,就能在有限的高分辨率拓扑优化数据集上完成训练。低分辨率和高分辨率拓扑优化数据集的实验数据表明,与其他方法相比,该方法能生成质量更好的拓扑优化结构图。此外,它还能在最短时间内生成高分辨率拓扑优化结构图,从而实现实时拓扑优化。
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来源期刊
Journal of Computational Physics
Journal of Computational Physics 物理-计算机:跨学科应用
CiteScore
7.60
自引率
14.60%
发文量
763
审稿时长
5.8 months
期刊介绍: Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.
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