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A reliability-based approach to determine the minimum detectable damage for statistical damage detection

机译：基于可靠性的方法来确定统计损伤检测的最小可检测损伤

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This paper derives a formula to determine the minimum detectable damage based on ambient vibration data. It is a key element to analyze which damage scenarios can be detected before a monitoring system is installed. For the analysis, vibration data from the reference structure as well as a finite element model are required. Minimum detectability is defined by adopting a code-based reliability concept that considers the probability of detection and the probability of false alarms. The results demonstrate that the minimum detectable damage depends on three elements: the uncertainty of the damage-sensitive feature (which decreases with increasing measurement duration), its sensitivity towards model-based design parameters, and the reliability requirements regarding the damage diagnosis results. The theory is developed for the stochastic subspace-based damage detection method but can be applied to any damage-sensitive feature provided its sensitivities and statistical properties can be characterized. For proof of concept, the minimum detectable change in stiffness and mass of a pin-supported beam are analyzed in a numerical and experimental study, respectively. The predictions with the developed approach appear to be accurate and robust to noise effects for both simulated and real data.
机译：本文源于基于环境振动数据确定最小可检测损坏的公式。它是分析在安装监控系统之前可以检测到哪种损坏方案的关键元素。对于分析，需要来自参考结构的振动数据以及有限元模型。通过采用基于代码的可靠性概念来定义最小可检测性，该概念考虑检测概率和误报的概率。结果表明，最小可检测损坏取决于三个要素：损伤敏感特征的不确定性（随着测量持续​​时间的增加而降低），其对基于模型的设计参数的敏感性，以及关于损伤诊断结果的可靠性要求。该理论是为随机子空间的损伤检测方法开发，但可以应用于任何损伤敏感特征，提供了其敏感性和统计特性。对于概念证明，分别在数值和实验研究中分析了销支撑光束的刚度和质量的最小可检测变化。对开发方法的预测似乎是模拟和实际数据的准确和稳健的噪声效应。

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