用点云直接预测复杂结构在变载下的应力与位移,快400倍还准。
Point-DeepONet: Predicting Nonlinear Fields on Non-Parametric Geometries under Variable Load Conditions
- 把点云转为几何特征,融合载荷条件做场预测
- 位移预测R²达0.987,应力预测达0.923,且对未知载荷方向泛化好
- 适合需要快速仿真反馈的工程设计与实时控制场景
工程中的非线性结构分析常需大量有限元模拟,限制了其在设计优化和实时控制中的应用。传统深度学习代理模型难以处理复杂的非参数化三维几何和方向变化的载荷。本文提出Point-DeepONet,将PointNet融入DeepONet框架,从原始点云学习几何表示,无需人工参数化,再与载荷条件协同预测三维位移和冯米塞斯应力场。在大规模数据集上训练后,模型表现优异:位移预测的决定系数(R²)达0.987,应力预测达0.923。进一步在未见的随机载荷方向上测试,仍保持高精度。相比单次非线性有限元分析约19.32分钟耗时,Point-DeepONet仅需数秒完成预测,提速约400倍,且具备良好可扩展性。实验与消融研究验证了其在复杂工程流程中实现快速高保真结构分析的潜力。
原文摘要 · Abstract (English)
Nonlinear structural analyses in engineering often require extensive finite element simulations, limiting their applicability in design optimization and real-time control. Conventional deep learning surrogates often struggle with complex, non-parametric three-dimensional (3D) geometries and directionally varying loads. This work presents Point-DeepONet, an operator-learning-based surrogate that integrates PointNet into the DeepONet framework to learn a mapping from non-parametric geometries and variable load conditions to physical response fields. By leveraging PointNet to learn a geometric representation from raw point clouds, our model circumvents the need for manual parameterization. This geometric embedding is then synergistically fused with load conditions within the DeepONet architecture to accurately predict three-dimensional displacement and von Mises stress fields. Trained on a large-scale dataset, Point-DeepONet demonstrates high fidelity, achieving a coefficient of determination (R^2) reaching 0.987 for displacement and 0.923 for von Mises stress. Furthermore, to rigorously validate its generalization capabilities, we conducted additional experiments on unseen, randomly oriented load directions, where the model maintained exceptional accuracy. Compared to nonlinear finite element analyses that require about 19.32 minutes per case, Point-DeepONet provides predictions in mere seconds--approximately 400 times faster--while maintaining excellent scalability. These findings, validated through extensive experiments and ablation studies, highlight the potential of Point-DeepONet to enable rapid, high-fidelity structural analyses for complex engineering workflows.
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