In this work parametric reduced order models (pROMs) for cracked shells are developed and applied to crack detection problems. Mesh morphing is employed to allow for parameterization of the models with respect to the crack location and size, while a clustering approach is adopted to partition the parameter space in sub-domains, for which efficient local reduced order models (ROMs) are constructed. Subsequently, the proposed ROMs are employed as forward simulators within an inverse problem setting, aiming to identify the location of the fault (crack). An output-only scheme is adopted, in the absence of information regarding the loading time history, based on transmissibility functions. The resulting scheme is tested through numerical examples involving realistic geometries, consisting of curved shells or multiple components.

在这项工作中，开发了裂纹壳的参数化降阶模型 (pROM) 并将其应用于裂纹检测问题。采用网格变形来允许关于裂纹位置和大小的模型参数化，同时采用聚类方法来划分子域中的参数空间，为其构建有效的局部降阶模型 (ROM)。随后，所提出的 ROM 被用作逆向问题设置中的正向模拟器，旨在识别故障（裂缝）的位置。在没有关于加载时间历史的信息的情况下，基于传递函数采用仅输出方案。最终的方案通过涉及真实几何形状的数值示例进行测试，包括弯曲的壳或多个组件。