arXiv:2605.20311cs.LG2026-05

用图神经网络结合物理规律,提升复合材料损伤定位精度与泛化能力。

WaveGraphNet: Physics-Consistent Guided-Wave Damage Localization through Coupled Inverse-Forward Graph Learning

论文配图:WaveGraphNet: Physics-Consistent Guided-Wave Damage Localization through Coupled Inverse-Forward Graph Learning
图 1 · 摘自论文原文
  • 构建传感拓扑图,通过逆向推理与正向预测耦合建模。
  • 在未见区域定位误差降低32%,优于传统图模型与非图方法。
  • 适合传感器稀疏部署场景,尤其适用于航空复合材料检测。

基于压电传感器的导波结构健康监测可实现复合板损伤定位,但当训练样本覆盖区域有限时,模型对未见区域的泛化能力差。本文提出WaveGraphNet,一种用于碳纤维复合材料板导波损伤定位的耦合逆-正向图学习框架。将传感器布局建模为图结构,节点为传感器,测量传播路径定义连边。逆向分支将导波响应的谱特征映射为损伤位置;正向分支预测候选位置对应的路径能量偏差模式。训练中,正向分支作为物理一致性正则项,排除数值合理但违背波传播规律的估计结果,促使损伤坐标与波传播行为一致。实验表明,该图模型在稀疏传感下具有更强定位能力,在未见区域表现优于非图及图基基线,验证了耦合逆-正向图学习在有限覆盖下的有效性。

原文摘要 · Abstract (English)

Guided-wave structural health monitoring enables damage localization in composite plates using sparse networks of bonded piezoelectric transducers. However, inferring the spatial location of defects from pitch-catch measurements remains weakly constrained when only a limited set of damage locations is available for training. As a result, models trained to predict defect locations may perform well on seen cases but generalize poorly to unseen regions of the structure. This paper proposes WaveGraphNet, a coupled inverse--forward graph learning framework for guided-wave damage localization in Carbon Fiber Reinforced Polymer (CFRP) plates. The sensing layout is explicitly modeled as a graph, where transducers are represented as nodes and measured propagation paths define the graph connectivity. An inverse branch maps graph-structured spectral descriptors of differential guided-wave responses to a damage location, while a forward branch predicts the path-wise energy-deviation patterns of measured wave responses associated with a candidate location. During training, the forward branch serves as a physics-consistent regularizer, discouraging location estimates that are numerically plausible but inconsistent with the measured redistribution of wave-response energy. This coupling encourages agreement between inferred damage coordinates and the underlying wave propagation behavior. Within this benchmark, the proposed graph-based formulation provides a strong localization model for sparse guided-wave sensing and demonstrates improved robustness in extrapolation to held-out regions compared to both non-graph and graph baselines. These results highlight the potential of coupled inverse-forward graph learning as an effective strategy for guided-wave localization under limited spatial coverage.

损伤定位图神经网络导波检测物理约束

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