论文标题

基于卷积神经网络的高效且高分辨率的拓扑优化方法

An efficient and high-resolution topology optimization method based on convolutional neural networks

论文作者

Xue, Liang, Liu, Jie, Wen, Guilin, Wang, Hongxin

论文摘要

2。在第3节中,我们使用了一些模糊的陈述来肯定神经网络的训练过程,这些培训无法支持其他人复制论文的结果。此外,本节没有显示本文和其他工作之间的区别,也不反映创新。 3。在第5节中,没有将数值示例与其他多分辨率方法进行比较,这还不足以解释本文提出的方法的优越性。图10还无法证明与传统方法相比,此方法显着改善。 感谢您的理解。 拓扑优化是一种开创性的设计方法,可以为各种候选者提供高机械性能。但是,最佳结构的高分辨率是高度期望的,通常导致计算上棘手的拼图,尤其是对于具有惩罚的著名固体各向同性材料(SIMP)方法。在本文中,我们将超分辨率卷积神经网络(SRCNN)技术介绍到拓扑优化框架中,以提高具有极高计算效率的拓扑解决方案的分辨率。此外,还建立了汇总策略,以平衡有限元分析的数量(FEA)和优化过程中的输出网格。考虑到3D神经网络的高训练成本,将几个2D神经网络结合在一起,以解决3D拓扑优化设计问题。 3D拓扑优化设计中使用的组合处理方法消除了再培训3D卷积神经网络的费用,并保证了3D设计的质量。一些典型的例子证明,采用SRCNN的高分辨率拓扑优化方法具有出色的适用性和高效率。

2. In Section 3, we used some vague statements to affirm the training process of the neural network, which cannot support others to reproduce the results of the paper. In addition, this section does not show the difference between this paper and other work, nor does it reflect innovation. 3. In Section 5, the numerical examples are not compared with other multi-resolution methods, which is not enough to explain the superiority of the method proposed in this paper. Figure 10 also fails to show that this method is significantly improved compared to the traditional method. Thanks for your understanding. Topology optimization is a pioneering design method that can provide various candidates with high mechanical properties. However, the high-resolution for the optimum structures is highly desired, normally in turn leading to computationally intractable puzzle, especially for the famous Solid Isotropic Material with Penalization (SIMP) method. In this paper, we introduce the Super-Resolution Convolutional Neural Network (SRCNN) technique into topology optimization framework to improve the resolution of topology solutions with extremely high computational efficiency. Additionally, a pooling strategy is established to balance the number of finite element analysis (FEA) and the output mesh in optimization process. Considering the high training cost of 3D neural networks, several 2D neural networks are combined to deal with 3D topology optimization design problems. The combined treatment method used in 3D topology optimization design eliminates the expense of retraining 3D convolutional neural network and guarantees the quality of 3D design. Some typical examples justify that the high-resolution topology optimization method adopting SRCNN has excellent applicability and high efficiency.

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