用物理模型辅助机器学习,实现复合板撞击定位与受力估计的高精度预测。
Physics-guided impact localisation and force estimation in composite plates with uncertainty quantification
- 融合物理理论与机器学习,构建低阶但符合力学规律的结构模型。
- 仅需少量实验数据即可实现精准撞击定位与受力重建,误差可控。
- 考虑不确定性传播,输出概率化结果,适合航空复合结构健康监测。
物理引导方法为在实验数据稀缺情况下实现复合结构中撞击识别提供了有前景的路径。本文提出一种混合框架,用于复合板的撞击定位与受力估计,结合一阶剪切变形理论(FSDT)的数据驱动实现、机器学习与不确定性量化。通过色散关系推断结构构型与材料属性,利用模态特性识别边界条件,构建低保真但物理一致的FSDT模型。该模型支持物理信息数据增强,用于监督学习中的外推定位;同时,基于同一模型的自适应正则化方案提升了受力重构的鲁棒性。框架还通过将定位不确定性传递至受力估计过程,实现概率性输出。在复合板实验上的验证表明,该方法在减少对大规模训练数据依赖的同时,具备高精度、强鲁棒性与高效性。所提方法为复合航空结构的撞击监测与结构健康管理提供了可扩展、可迁移的解决方案。
原文摘要 · Abstract (English)
Physics-guided approaches offer a promising path toward accurate and generalisable impact identification in composite structures, especially when experimental data are sparse. This paper presents a hybrid framework for impact localisation and force estimation in composite plates, combining a data-driven implementation of First-Order Shear Deformation Theory (FSDT) with machine learning and uncertainty quantification. The structural configuration and material properties are inferred from dispersion relations, while boundary conditions are identified via modal characteristics to construct a low-fidelity but physically consistent FSDT model. This model enables physics-informed data augmentation for extrapolative localisation using supervised learning. Simultaneously, an adaptive regularisation scheme derived from the same model improves the robustness of impact force reconstruction. The framework also accounts for uncertainty by propagating localisation uncertainty through the force estimation process, producing probabilistic outputs. Validation on composite plate experiments confirms the framework's accuracy, robustness, and efficiency in reducing dependence on large training datasets. The proposed method offers a scalable and transferable solution for impact monitoring and structural health management in composite aerostructures.
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