2018
DOI: 10.1016/j.ymssp.2017.08.037
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Real time damage detection using recursive principal components and time varying auto-regressive modeling

Abstract: In this paper, a novel baseline free approach for continuous online damage detection of multi degree of freedom vibrating structures using Recursive Principle Component Analysis (RPCA) in conjunction with Time Varying Auto-Regressive Modeling (TVAR) is proposed. In this method, the acceleration data is used to obtain recursive proper orthogonal components online using rank-one perturbation method, followed by TVAR modeling of the first transformed response, to detect the change in the dynamic behavior of the v… Show more

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Cited by 54 publications
(63 citation statements)
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“…e AR model is widely used in the eld of structural damage identication [18], and it is attempt to account for the correlations of the current time parameter with its predecessors in time series, in which the output variable depends linearly on its own previous values and on a stochastic term. It can be implemented to represent the dynamic response of structures [19]. e AR model does not need any speci c structural characteristics but the output response data; hence, it is widespread for complex structures [20,21].…”
Section: Ar Model and Parameter Identi Cationmentioning
confidence: 99%
“…e AR model is widely used in the eld of structural damage identication [18], and it is attempt to account for the correlations of the current time parameter with its predecessors in time series, in which the output variable depends linearly on its own previous values and on a stochastic term. It can be implemented to represent the dynamic response of structures [19]. e AR model does not need any speci c structural characteristics but the output response data; hence, it is widespread for complex structures [20,21].…”
Section: Ar Model and Parameter Identi Cationmentioning
confidence: 99%
“…where x ij (t) is the normalized measurement signal, a k and b k are the k-th AR and MA coefficients, p and q are the model orders of the AR and MA processes, and ε ij (t) is the residual term. e algorithms of the group are discussed in detail [10,19,20]. In particular, the modified and implemented algorithm adapts to the structure in Figure 5.…”
Section: Structural Health Estimation and Damage Detectionmentioning
confidence: 99%
“…An interesting solution, presented by Krishnan et al [19], successfully eliminates the need for offline postprocessing and facilitates online damage detection especially when applied to streaming data without requiring any baseline data. is is a novel baseline-free approach for the continuous online damage detection of multidegree of freedom vibrating structures using recursive principal component analysis (RPCA) in conjunction with timevarying autoregressive (TVAR) modeling.…”
Section: Introductionmentioning
confidence: 99%
“…To obtain a systematic study on this new EC‐TMD, the force and energy‐based evaluation on the EC‐TMD controlled structures through shaking table test and field testing may be preferred for understanding the actuating and dissipation behavior in the time‐domain, which is challenging and may necessarily need the aid of SHM and SI. Currently, such energy‐based evaluation is widely used in theoretical and numerical studies on TMD (Lee et al., ; Lamarque et al., ; Reggio and Angelis, ), whereas the direct data interpretation and signal processing of measurements are mostly performed for the shaking table test (Rakicevic et al., ; Luo et al., ) and field test (Cho et al., ; Hazra et al., ; Shi et al., ; Yamamoto and Sone, ; Krishnan et al., ). The energy‐based effective damping and wavelet spectra (Luo et al., ) may be a very early effort to experimentally understand the energy dissipation behavior.…”
Section: Introductionmentioning
confidence: 99%