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Structure Damage Identification Based on Regularized ARMA Time Series Model under Environmental Excitation

1
State Key Laboratory of Coastal and Offshore Engineering, School of Civil Engineering, Dalian University of Technology, Dalian 116024, China
2
Department of Civil and Environmental Engineering, Shantou University, Shantou 515063, China
3
Smart Materials and Structures Laboratory, Department of Mechanical Engineering, University of Houston, Houston, TX 77004, USA
*
Author to whom correspondence should be addressed.
Vibration 2018, 1(1), 138-156; https://doi.org/10.3390/vibration1010011
Received: 6 August 2018 / Revised: 28 August 2018 / Accepted: 30 August 2018 / Published: 3 September 2018
(This article belongs to the Special Issue Civil Engineering Applications of Structural Health Monitoring)
In this paper, a non-modal parametric method to identify structural damage using a regularized autoregressive moving average time series model under environmental excitation is proposed in combination with the virtual impulse response function. This method can use the structural vibration response to determine the damage caused to the structure during environmental excitation. Firstly, the virtual impulse response function is obtained by using the structural vibration response. Then, a regularized ARMA time series model is used to fit the virtual impulse response function. Based on the change of auto-regression coefficients in the regularization model under different damage cases, the structural damage is identified. The authors derive the regularization equation of an ARMA time series model to solve the problems in a time series model and obtain the regularization coefficient. Finally, this method is applied to a three-degrees-of-freedom chain structure and a three-floor shear structure of the Los Alamos National Laboratory (LANL). The experimental results show that the method based on the regularized ARMA time series model under environmental excitation can effectively identify the structural damage, which is a reliable method for damage identification. The regularized ARMA time series model can accurately extract signal features and has invaluable application prospects in the field of structural health monitoring. View Full-Text
Keywords: structure damage identification; virtual impulse response; ARMA time series model; feature extraction; regularization structure damage identification; virtual impulse response; ARMA time series model; feature extraction; regularization
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Zhang, X.; Li, D.; Song, G. Structure Damage Identification Based on Regularized ARMA Time Series Model under Environmental Excitation. Vibration 2018, 1, 138-156.

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