arXiv:2606.20015cs.LG2026-06

用自适应网络精准预测大跨桥梁局部响应,速度比有限元快万倍。

Adaptive Distance-Aware Trunk Deep Operator Learning for Long-Span Roadway Bridges

论文配图:Adaptive Distance-Aware Trunk Deep Operator Learning for Long-Span Roadway Bridges
图 1 · 摘自论文原文
  • 基于KNN动态构建载荷相关学习域,聚焦结构影响区。
  • 精度达有限元水平,误差低于5%,全场重构提速60倍。
  • 适合桥梁数字孪生与快速载荷分析,支持任意车流配置。

大跨公路桥在车辆荷载下表现出高度局部化的结构响应,导致影响面生成与结构数字孪生等应用中重复进行有限元(FEM)分析计算成本高昂。现有科学机器学习方法难以准确捕捉此类局部响应。为此,本文提出一种自适应-主干DeepONet框架,通过KNN策略动态构建载荷依赖的学习域,使网络聚焦于结构影响区域。主干网络引入距离感知特征,编码荷载与结构节点间的几何关系。结合基于物理的刚度信息舒尔补重构方法,实现自适应节点预测向全结构域扩展。为支持可扩展训练,采用降阶等效壳模型生成响应数据,保留主导全局行为的同时显著降低计算成本。该框架在基准桥模型和真实世界马萨法桥上验证,结果表明:方法达到FEM级精度,相对误差低于5%;总响应评估时间(含全场重构)减少约60倍;若不计后处理重构步骤,AD-DeepONet推理速度比FEM快达四数量级。此外,框架可快速生成任意车辆配置下的全场响应、影响线与影响面,展现出在大规模桥梁分析与数字孪生中的强应用潜力。

原文摘要 · Abstract (English)

Long-span roadway bridges exhibit highly localized structural responses under vehicular loading, making repeated FE analysis computationally expensive for applications such as influence surface generation and structural digital twins. Existing SciML approaches struggle to accurately capture these localized responses. To address this challenge, this study proposes an adaptive-trunk DeepONet for localized structural response prediction in large-scale bridge systems. The framework dynamically constructs a load-dependent learning domain using a KNN strategy, allowing the network to focus on structural influence zones. The trunk network is further enhanced using distance-aware features that encode the geometric relationship between the load and structural nodes. A physics-based full-field reconstruction is incorporated through a stiffness-informed Schur complement formulation, enabling predictions at adaptive nodes to be extended to the entire structural domain. To enable scalable training, response data are generated using a reduced-order equivalent shell model that preserves the dominant global behavior while significantly reducing computational cost. The proposed framework is validated on both a benchmark bridge model and the real-world Mussafah Bridge. Results show that the method achieves FEM-level accuracy with relative errors below 5%, while reducing the total response evaluation time (including full-field reconstruction) by approximately 60x; excluding the post-processing reconstruction step, the AD-DeepONet inference is up to four orders of magnitude faster than FEM. In addition, the framework enables rapid generation of full-field responses, influence lines, and influence surfaces under arbitrary vehicular loading configurations, demonstrating strong potential for large-scale bridge analysis and digital twin applications.

结构健康监测深度学习数字孪生桥梁工程

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