A vibration model residual-based sequential probability ratio test framework for structural health monitoring

Abstract

The goal of this study is the introduction and experimental assessment of a sequential probability ratio test framework for vibration-based structural health monitoring. This framework is based on a combination of binary and multihypothesis versions of the statistically optimal sequential probability ratio test and employs the residual sequences obtained through a single stochastic time series model of the healthy structure. The full list of properties and capabilities of the sequential probability ratio test is for the first time presented and explored in the context of vibration-based damage diagnosis. The approach postulated in this framework is shown to achieve early and robust damage detection, identification (classification), and quantification based on predetermined sampling plans, which are both analytically and experimentally compared and assessed. The framework's performance is determined a priori via the use of the analytical expressions of the operating characteristic and average sample number functions in combination with baseline data records. It is shown to require, on average, a minimal number of signal samples in order to reach a decision compared to fixed sample size most powerful tests. The effectiveness of the proposed approach is validated and experimentally assessed via its application to a lightweight aluminum truss structure.

Vibration-response-only statistical time series structural health monitoring methods: A comprehensive assessment via a scale jacket structure

“…at one of the several critical points). Also, the batch diagnosis problem is treated, as opposed to its sequential counterpart, 4 thus implying that diagnostic decision making is based on the complete, N -sample-long, random vibration response signal (realization) y u [ t ] . The structure of interest is assumed characterized by linear and time-invariant dynamics, under constant boundary conditions.…”

“…Vibration-based statistical time series structural health monitoring (STS-SHM) methods use (a) random excitation and/or vibration response signals (time series), (b) statistical (non-parametric or parametric) model building and (c) proper decision-making mechanisms for inferring the health state of a structure. 1–12 A main feature distinguishing them from alternative vibration-based SHM methods is that they are based on small-scale, typically compact and partial, statistical time series type modelling 1–3 of the structural dynamics directly obtained from measured signals. Thus, they do not require large-scale physics-based (such as finite element) models, although the latter may be optionally used in the baseline (training) phase.…”

“…Brief overviews of the methods are provided, while details are available in Fassois and colleagues. 1–4…”

A Sequence-Based Damage Identification Method for Composite Rotors by Applying the Kullback–Leibler Divergence, a Two-Sample Kolmogorov–Smirnov Test and a Statistical Hidden Markov Model

“…The implementation of advanced simulation models is a typical approach for damage identification, especially for isolated vibration-based integrity analyses at different time points in the lifetime of the structure according to Farrar, Fassois and Korbicz [ 3 , 19 , 20 , 21 ], among others. For example, in previous investigations by Hufenbach and Kostka [ 14 , 18 , 22 , 23 , 24 ], the structural integrity of a carbon fibre-reinforced epoxy plate was investigated where damage was replicated by the attachment of a small mass or a damping layer in order to simulate the alterations of mass and damping characteristics, respectively.…”

A nondestructive method for the pretension detection in membrane structures based on nonlinear vibration response to impact

“…Kim et al 18 reported a study of a field experimental on a steel Gerber-truss bridge for damage detection utilizing vehicle-induced vibrations. Kopsaftopoulos and Fassois 19 carried out an experimental assessment of a sequential probability ratio test framework for vibration-based SHM. Mooney et al 20 carried out experimental program to explore the efficacy of VBHM of earth structures.…”