arXiv:2604.06620cs.LG2026-04

用物理先验建模轴箱振动,精准预测车轮多阶不平顺。

PD-SOVNet: A Physics-Driven Second-Order Vibration Operator Network for Estimating Wheel Polygonal Roughness from Axle-Box Vibrations

论文配图:PD-SOVNet: A Physics-Driven Second-Order Vibration Operator Network for Estimating Wheel Polygonal Roughness from Axle-Box Vibrations
图 1 · 摘自论文原文
  • 融合二阶振动核与物理修正分支,构建可解释的灰箱模型。
  • 在真实数据上实现1~40阶粗糙度谱的连续回归,跨轮对性能稳定。
  • 适合铁路车辆状态监测场景,尤其适用于复杂工况下的故障评估。

从轴箱振动信号定量估计车轮多阶不平顺是铁路车辆状态监测中的关键挑战。现有研究多集中于检测、识别或严重程度分类,而对多阶粗糙度谱的连续回归仍缺乏深入探索,尤其是在真实运行数据和未见车轮条件下的表现。本文提出PD-SOVNet,一种物理引导的灰箱框架,结合共享二阶振动核、4×4 MIMO耦合模块、自适应物理修正分支及基于Mamba的时序分支,实现从轴箱振动信号中估计1至40阶车轮粗糙度谱。该设计嵌入模态响应先验,同时保留数据驱动的样本依赖校正与残余时序动态建模能力。在三个真实数据集(含运行数据与实测故障数据)上的实验表明,所提方法在当前数据协议下具备竞争力的预测精度和相对稳定的跨轮对性能,尤其在更具挑战性的数据集III上优势显著。噪声注入实验进一步显示,Mamba时序分支有助于缓解输入扰动带来的性能下降。结果表明,结构化物理先验可有效提升实际监测场景中粗糙度回归的稳定性,但需在更广泛工况和严格对比协议下进一步验证。

原文摘要 · Abstract (English)

Quantitative estimation of wheel polygonal roughness from axle-box vibration signals is a challenging yet practically relevant problem for rail-vehicle condition monitoring. Existing studies have largely focused on detection, identification, or severity classification, while continuous regression of multi-order roughness spectra remains less explored, especially under real operational data and unseen-wheel conditions. To address this problem, this paper presents PD-SOVNet, a physics-guided gray-box framework that combines shared second-order vibration kernels, a $4\times4$ MIMO coupling module, an adaptive physical correction branch, and a Mamba-based temporal branch for estimating the 1st--40th-order wheel roughness spectrum from axle-box vibrations. The proposed design embeds modal-response priors into the model while retaining data-driven flexibility for sample-dependent correction and residual temporal dynamics. Experiments on three real-world datasets, including operational data and real fault data, show that the proposed method provides competitive prediction accuracy and relatively stable cross-wheel performance under the current data protocol, with its most noticeable advantage observed on the more challenging Dataset III. Noise injection experiments further indicate that the Mamba temporal branch helps mitigate performance degradation under perturbed inputs. These results suggest that structured physical priors can be beneficial for stabilizing roughness regression in practical rail-vehicle monitoring scenarios, although further validation under broader operating conditions and stricter comparison protocols is still needed.

状态监测振动分析物理模型多阶估计

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