Time series-based damage detection and localization algorithm with application to the ASCE benchmark structure

In this paper, a time series algorithm is presented for damage identification and localization. The vibration signals obtained from sensors are modeled as autoregressive moving average (ARMA) time series. A new damage-sensitive feature, DSF, is defined as a function of the first three auto regressiv...

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Vydáno v:Journal of sound and vibration Ročník 291; číslo 1; s. 349 - 368
Hlavní autoři: Nair, K. Krishnan, Kiremidjian, Anne S., Law, Kincho H.
Médium: Journal Article
Jazyk:angličtina
Vydáno: London Elsevier Ltd 21.03.2006
Elsevier
Témata:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Measurement and testing methods
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
ARMA model
Statistical analysis
Vibration
Time series
Autoregressive model
Regression analysis
Experimental study
Vibrometer
Stationary condition
Vibration transducer
Transducer position
Classification
Signal processing
System identification
Localization
Defect detection
Damaging
ISSN:0022-460X, 1095-8568
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Shrnutí:In this paper, a time series algorithm is presented for damage identification and localization. The vibration signals obtained from sensors are modeled as autoregressive moving average (ARMA) time series. A new damage-sensitive feature, DSF, is defined as a function of the first three auto regressive (AR) components. It is found that the mean values of the DSF for the damaged and undamaged signals are different. Thus, a hypothesis test involving the t-test is used to obtain a damage decision. Two damage localization indices LI 1 and LI 2, are introduced based on the AR coefficients. At the sensor locations where damage is introduced, the values of LI 1 and LI 2 appear to increase from their values obtained at the undamaged baseline state. The damage detection and localization algorithms are valid for stationary signals obtained from linear systems. To test the efficacy of the damage detection and localization methodologies, the algorithm has been tested on the analytical and experimental results of the ASCE benchmark structure. In contrast to prior pattern classification and statistical signal processing algorithms that have been able to identify primarily severe damage and have not been able to localize the damage effectively, the proposed algorithm is able to identify and localize minor to severe damage as defined for the benchmark structure.
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ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2005.06.016