A reliability-based approach to determine the minimum detectable damage for statistical damage detection - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Mechanical Systems and Signal Processing Year : 2021

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

Abstract

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.
Fichier principal
Vignette du fichier
MSSP-Minimum_detectable_damage.pdf (5.21 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03276728 , version 1 (02-07-2021)

Identifiers

Cite

Alexander Mendler, Michael Döhler, Carlos E Ventura. A reliability-based approach to determine the minimum detectable damage for statistical damage detection. Mechanical Systems and Signal Processing, 2021, 154, pp.107561. ⟨10.1016/j.ymssp.2020.107561⟩. ⟨hal-03276728⟩
97 View
167 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More