This work presents a cost-effective methodology to determine small damages using frequency response functions (FRFs) in the high-frequency range. The main objective is to determine a failure in its initial stage, allowing it to be analyzed and tracked. A theoretical analysis is performed, relating changes in the structural frequency response to small damages. In the analytic study, the strain modal energy change is estimated when the modal wavelength is similar to the damage rift dimension. The frequency change magnitude and its observability are analyzed based on practical FRF parameters. To demonstrate that a small damage can be noticeable in a high-frequency spectrum, an experimental procedure is performed to confirm it. Using a robust singular value decomposition algorithm a failure identification at approximately 0.16% and 0.34% of structural mass change is achieved. Employing measurement datasets composed of reference and damage sets obtained from a single measurement point, these results show the effectiveness and possibilities of the presented method.

这项工作提出了一种经济有效的方法，可以使用高频范围内的频率响应函数（FRF）确定较小的损坏。主要目标是确定故障的初始阶段，以便对其进行分析和跟踪。进行了理论分析，将结构频率响应的变化与小损伤相关联。在分析研究中，当模态波长与损伤裂谷尺寸相似时，可以估算应变模态能量的变化。根据实际的FRF参数分析了频率变化幅度及其可观察性。为了证明在高频频谱中可以看到很小的损坏，请执行实验步骤进行确认。使用鲁棒的奇异值分解算法，故障识别率约为0.16％和0。实现了34％的结构质量变化。使用从单个测量点获得的由参考和损坏集组成的测量数据集，这些结果表明了所提出方法的有效性和可能性。