面向通用船舶横剖面的 U-Net 快速拓扑优化方法

A fast topology optimization method for general ship cross-sections leveraging U-Net

  • 摘要: 【目的】对现有基于深度学习的船舶横剖面拓扑优化方法只能应用于单一结构剖面的问题进行了研究,提出一种面向通用船舶横剖面的 U-Net 快速拓扑优化方法,并能将神经网络的预测结果直接应用于工程分析。【方法】所提方法采用自动参数化建模计算技术,构建了大规模结构多样的船舶横剖面的静力分析和拓扑优化结果数据集用于深度监督学习,使训练后的神经网络面对各种船舶结构横剖面均可快速得到合理的拓扑优化构型。此外,对神经网络预测结果难以直接应用于工程分析的问题进行了研究,开发了一套根据神经网络输出的二值化密度张量自动重建有限元模型的算法,克服了目前删除单元法重建模型的缺陷,为网络预测结果与传统迭代计算结果的力学性能一致性检验提供了基础。【结果】实验结果表明,应用所提方法预测各种结构船舶横剖面的拓扑构型,计算时间缩短两个数量级,且平均预测精度超过90%。抽样检验结果显示,根据网络预测结果重建的有限元模型避免了应力集中效应,与传统迭代计算结果的力学性能偏差小于3%,进一步验证了所提方法的可靠性。【结论】所提方法为船舶横剖面的快速拓扑优化提供了一种通用的解决方案,降低了船舶设计的成本,具有重要的工程价值。

     

    Abstract: Objectives This study addresses the limitation of existing deep learning-based ship cross-section topology optimization methods, which can only be applied to single structural sections. A fast topology optimization method for general ship cross-sections is proposed, which enables the direct application of neural network prediction results in engineering analysis. Methods The proposed methodology employs an automated parametric modeling and computation technique to construct a large-scale, structurally diverse dataset of ship cross-sectional static analysis and topology optimization results for deep supervised learning. This enables the trained neural network to rapidly derive rational topology optimization configurations for various ship structural cross-sections. Furthermore, addressing the challenge of directly applying neural network predictions to engineering analysis, an algorithm was developed for the automatic reconstruction of finite element models from the binarized density tensor output by the neural network. This overcomes the limitations inherent in model reconstruction using the element removal method, thereby providing a foundation for verifying the consistency of mechanical performance between network predictions and traditional iterative calculation results. Results Experimental results demonstrate that applying the proposed method to predict the topological configuration of ship cross-sections with various structures reduces computation time by two orders of magnitude, with an average prediction accuracy exceeding 90%. Sampling inspection results indicate that the finite element models reconstructed based on the network predictions avoid stress concentration effects, and the deviation in mechanical performance compared to traditional iterative calculations is less than 3%, further verifying the reliability of the proposed method. Conclusions The proposed method provides a general solution for the rapid topology optimization of ship cross-sections, reduces ship design costs, and possesses significant engineering value.

     

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