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 using U-Net

  • 摘要:
    目的 针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,提出一种面向通用船舶横剖面的 U-Net 快速拓扑优化方法。
    方法 采用自动参数化建模计算技术,构建大规模、结构多样的船舶横剖面静力分析和拓扑优化结果数据集,以用于深度监督学习,并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。随后开发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算法,以克服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,计算时间可缩短2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 所提方法可为船舶横剖面的快速拓扑优化提供一种通用的解决方案,能降低船舶设计成本,具有重要的工程应用价值。

     

    Abstract:
    Objectives This study addresses the limitations of existing deep learning-based ship cross-section topology optimization methods, which are restricted to single-section ship structures. A fast topology optimization method for general ship cross-sections is proposed.
    Methods The proposed method employs automated parametric modeling and computation techniques to construct a large-scale, structurally diverse dataset of ship cross-section static analysis and topology optimization results. This dataset enables deep supervised learning to train the neural network to rapidly generate reasonable topology optimization configurations for various ship cross-sections. Furthermore, to address the challenge of directly applying neural network predictions in engineering analysis, an algorithm was developed to automatically reconstruct finite element models from the binarized density tensor output by the neural network, thus overcoming the limitations of element removal methods and ensuring mechanical consistency between network predictions and traditional iterative calculation results.
    Results Experimental results demonstrate that applying the proposed method to predict the topological configuration of various ship cross-sections 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, with less than 3% deviation in mechanical performance compared to traditional iterative calculations, 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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