融合物理规律与数据驱动,实现航空航天复合材料损伤精准识别。
Physics-Informed Framework for Impact Identification in Aerospace Composites
- 用物理能量指标构建输入空间,通过架构设计约束解空间。
- 在噪声和数据少时仍保持误差低于8%~10%的稳定表现。
- 适合用于真实场景中需可靠、高效损伤监测的工程系统。
本文提出一种新型物理信息驱动的损伤识别框架(Phy-ID)。该方法通过整合观测、归纳与学习偏置,在统一建模策略中融合物理知识与数据驱动推理,实现物理一致且数值稳定的损伤识别。框架利用基于物理的能量指标构建输入空间,通过网络结构设计约束可行解,并采用混合损失函数强制满足控制关系,有效限制非物理解并提升在测量退化条件下的推理稳定性。以解耦推理为典型案例,分别通过代理模型推断撞击速度与撞击体质量,并通过动能一致性计算撞击能量。实验表明,撞击速度与撞击体质量的平均绝对百分比误差低于8%,撞击能量误差低于10%。额外分析证实,即使在数据减少或噪声增加情况下仍具稳定性,且在包含损伤响应训练时可泛化至未见工况(完好与损伤状态)。结果表明,系统性融合物理信息偏置可实现可靠、物理一致、数据高效损伤识别,具有实际监测系统的应用潜力。
原文摘要 · Abstract (English)
This paper introduces a novel physics-informed impact identification (Phy-ID) framework. The proposed method integrates observational, inductive, and learning biases to combine physical knowledge with data-driven inference in a unified modelling strategy, achieving physically consistent and numerically stable impact identification. The physics-informed approach structures the input space using physics-based energy indicators, constrains admissible solutions via architectural design, and enforces governing relations via hybrid loss formulations. Together, these mechanisms limit non-physical solutions and stabilise inference under degraded measurement conditions. A disjoint inference formulation is used as a representative use case to demonstrate the framework capabilities, in which impact velocity and impactor mass are inferred through decoupled surrogate models, and impact energy is computed by enforcing kinetic energy consistency. Experimental evaluations show mean absolute percentage errors below 8% for inferred impact velocity and impactor mass and below 10% for impact energy. Additional analyses confirm stable performance under reduced data availability and increased measurement noise, as well as generalisation for out-of-distribution cases across pristine and damaged regimes when damaged responses are included in training. These results indicate that the systematic integration of physics-informed biases enables reliable, physically consistent, and data-efficient impact identification, highlighting the potential of the approach for practical monitoring systems.
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