A 2-D continuous wavelet transform of mode shape data for damage detection of plate structures

Abstract

a b s t r a c tA two-dimensional (2-D) continuous wavelet transform (CWT)-based damage detection algorithm using ''Dergauss2d" wavelet for plate-type structures is presented. The 2-D CWT considered in this study is based on the formulation by Antoine et al. (2004). A concept of isosurface of 2-D wavelet coefficients is proposed, and it is generated to indicate the location and approximate shape or area of the damage. The proposed algorithm is a response-based damage detection technique which only requires the mode shapes of the damaged plates. This algorithm is applied to the numerical vibration mode shapes of a cantilever plate with different types of damage to illustrate its effectiveness and viability. A comparative study with other two 2-D damage detection algorithms, i.e., 2-D gapped smoothing method (GSM) and 2-D strain energy method (SEM), is performed, and it demonstrates that the proposed 2-D CWT-based algorithm is superior in noise immunity and robust with limited sensor data. The algorithm is further implemented in an experimental modal test to detect impact damage in an FRP composite plate using smart piezoelectric actuators and sensors, demonstrating its applicability to the experimental mode shapes. The present 2-D CWT-based algorithm is among a few limited studies in the literature to explore the application of 2-D wavelets in damage detection, and as demonstrated in this study, it can be used as a viable and effective technique for damage identification of plate-or shell-type structures.

Vibration-based Damage Identification Methods: A Review and Comparative Study

“…The localization of the damage is primarily studied in the literature; while the quantification of the damage, as the follow-up step in damage identification, is still in a relatively immature stage, worth immediate attention and investigation; (3) Development of viable damage identification methods for 2D plates. There are only limited studies [37,53,55,78,81,98,99] available for plates, with most of them being generalized from the 1D algorithms. It should be mentioned that the methods using novel signal processing techniques, such as 2D wavelet transform as demonstrated by the authors [55], show their potential to be a powerful tool in damage identification of plates and thus demand further research.…”

“…The algorithm is further implemented in an experimental modal test to detect impact damage in an FRP composite plate using smart piezoelectric actuators and sensors, demonstrating its applicability to the experimental mode shapes. The 2D CWT-based algorithm presented in [55] is among a few limited studies in the literature to explore the application of 2D wavelets in damage detection, and as demonstrated, it can be used as a viable and effective technique for damage identification of plate-or shell-type structures.…”

Damage detection in membrane structures using non-contact laser excitation and wavelet transformation

“…The procedure to detect the position of damage in the membrane structure is adopted from the procedure suggested by Fan [12], using the 2-D CWT derivative Gauss (Dergauss2d), which was used successfully for detecting damage on plates using mode shape data. Gaussian filtering is a widely used approach to filter out the high frequency noises.…”

“…The following procedure suggested by Fan [12] will be used to detect damage locations in the membrane structure:…”

Vibration Analysis of Cracked Beams Using Adomian Decomposition Method and Non-Baseline Damage Detection via High-Pass Filters

“…The application of 1-D and 2-D wavelet transform methods to displacement mode shape for damage detection of beam and plate structures have also been extensively investigated. 8,9 Ratcliffe, et al 10,11 proposed the gapped smoothing method (GSM) and the global fitting method (GFM) for damage detection. The GSM and GFM do not require data from the undamaged structure.…”