Two-dimensional curvature mode shape method based on wavelets and Teager energy for damage detection in plates

Xu, Weilai; Cao, Maosen; Ostachowicz, Wiesław; Radzieński, Maciej; Xia, Ning

doi:10.1016/j.jsv.2015.02.038

Cited by 77 publications

(54 citation statements)

References 47 publications

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“…Especially, the mode shape derivatives have been widely used to localize damage in laminated composite structures. For example, Cao et al [98] explored the synergy between a wavelet transform and a Teager energy operator (TEO) to ameliorate the curvature mode shape, and also used two-dimensional curvature mode shape method to detect damage in plates [99]. Moreno-Garcıa [100] proposed a Ritz based method to improve the computation of mode shape derivatives.…”

Section: Modal Domain Methodsmentioning

confidence: 99%

The State-of-the-Art on Framework of Vibration-Based Structural Damage Identification for Decision Making

2017

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Abstract:Research on detecting structural damage at the earliest possible stage has been an interesting topic for decades. Among them, the vibration-based damage detection method as a global technique is especially pervasive. The present study reviewed the state-of-the-art on the framework of vibration-based damage identification in different levels including the prediction of the remaining useful life of structures and the decision making for proper actions. This framework consists of several major parts including the detection of damage occurrence using response-based methods, building reasonable structural models, selecting damage parameters and constructing objective functions with sensitivity analysis, adopting optimization techniques to solve the problem, predicting the remaining useful life of structures, and making decisions for the next actions. For each part, the commonly used methods were reviewed and the merits and drawbacks were summarized to give recommendations. This framework is aimed to guide the researchers and engineers to implement step by step the structure damage identification using vibration measurements. Finally, the future research work in this field is recommended.

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Section: Modal Domain Methodsmentioning

confidence: 99%

The State-of-the-Art on Framework of Vibration-Based Structural Damage Identification for Decision Making

2017

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“…The MC 2D method is a non-baseline method, that is, with no requirement for baseline information of structures, such as materials, geometry, and boundary conditions. Besides, the MC 2D possesses the property of isotropy, which means that it is capable of identifying cracks with arbitrary directions in plate-like structures [16]. …”

Section: Dmentioning

confidence: 99%

“…In this figure, it can be seen that in the 2 W  , a slim peak appears at the crack location, but nearly masked by the global trends of the MC 2D , it is unreliable for identifying the crack in the plate. As stated in the introduction, lack of sensitivity to incipient small-scale damage is acknowledged as the first deficiency of the MC 2D method [16]. To simulate an actual normal noisy measurement condition, white Gaussian noise is incorporated to produce the noisy mode shape of 80 dB signal-to-noise (SNR).…”

Section: Dmentioning

confidence: 99%

“…Despite the prevalence of the MC 2D method in identifying damage in plate-like structures, direct use of the method for damage detection in plates is hindered by its two noticeable deficiencies, lack of sensitivity to incipient small-scale damage and susceptibility to noise interference [16]. Addressing these two deficiencies, researchers in recent years have made efforts to improve the MC 2D method: Yoon et al [14] proposed the 2D GSM to reveal small changes in the MC 2D caused by the damage, by which small damage can be correctly located.…”

Section: Introductionmentioning

confidence: 99%

“…Yang et al [15] utilized the 2D Fourier transform rather than second-order differentiation to produce the MC 2D , by which noise interference could be effectively suppressed. Recently, by ameliorating the MC 2D with the wavelet transform (WT) and Teager energy operator (TEO), Xu et al [16] proposed an integrated method and successfully utilized it to identify the presence, location, and shape of an X-shaped notch in a plate with the aid of the non-contact measurement. Although a great deal of effort has been expended to deal with the two deficiencies of the MC 2D method, accurate extraction of small-scale damage features in the MC 2D under noise conditions is still a challenge of the method.…”

Section: Introductionmentioning

confidence: 99%

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Wavelet 2D Modal Curvature for Identifying Non-Uniform Cracks in Plates under Noisy Conditions

Xu¹,

Cao²,

Zhang³

et al. 2017

Proceedings of the 3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)

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Abstract. Identifying non-uniform cracks in plates is a challenging problem worthy of exploration. 2D modal curvature is often utilized to detect damage in plates, but its capability to precisely identify non-uniform cracks has not been resolved well, largely due to two noticeable deficiencies, lack of sensitivity to damage and susceptibility to noise interference. With this concern, this study ameliorates the 2D modal curvature using the wavelet transform, whereby the wavelet 2D modal curvature is constructed. Damage features extracted from the wavelet 2D modal curvature can be employed to identify non-uniform cracks in plates. This wavelet 2D modal curvature enjoys the multiscale analysis characteristics introduced by the wavelet transform, leading to synchronous extraction of damage features and elimination of noise interference. These features endow the wavelet 2D modal curvature with the capability to identify non-uniform cracks under noisy conditions. The performance of the wavelet 2D modal curvature is verified by damage detection in a plate with a non-uniform crack. The results show the wavelet 2D modal curvature can effectively identify non-uniform cracks in plates under noisy conditions.

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Full‐field out‐of‐plane vibration displacement acquisition based on speckle‐projection digital image correlation and its application in damage localization

Cao

Yan

Nian

et al. 2022

Int Journal of Mech Sys Dyn

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Stereo‐digital image correlation (Stereo‐DIC) has been widely explored for modal analysis in plate‐type structures due to its noncontact and full‐field advantages. However, when the traditional stereo‐DIC is adopted to capture the out‐of‐plane displacements, several challenging issues exist such as the development of surface speckles, asynchronous camera recording, and efficiency and accuracy degradation due to high computation costs. Moreover, with the captured out‐of‐plane displacements, effective and efficient evaluation of the high spatial resolution mode shapes and their application to damage localization are also critical problems. To tackle these issues, a speckle‐projection DIC technique using a single high‐speed camera is proposed to obtain the out‐of‐plane vibration displacements. Moreover, an enhanced peak‐picking modal analysis method is adopted to enhance the estimation accuracy and efficiency of mode shapes. In addition, the low‐rank property of mode shapes in an intact state and the spatial sparse property of damage locations are harnessed for the detection of damage positions without requiring reference data on the healthy state. Finally, the modal analysis and damage localization results based on the proposed speckle‐projection DIC are compared with those of the traditional two‐camera stereo‐DIC technique to verify its feasibility and effectiveness. It is found that the differences in the identified resonant frequencies between these two methods are smaller than 1% for higher modes. Moreover, the proposed speckle‐projection DIC has the same accuracy as the traditional two‐camera stereo‐DIC in terms of measurement accuracy, mode shape estimation, and damage localization.

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Two-dimensional curvature mode shape method based on wavelets and Teager energy for damage detection in plates

Cited by 77 publications

References 47 publications

The State-of-the-Art on Framework of Vibration-Based Structural Damage Identification for Decision Making

The State-of-the-Art on Framework of Vibration-Based Structural Damage Identification for Decision Making

Wavelet 2D Modal Curvature for Identifying Non-Uniform Cracks in Plates under Noisy Conditions

Full‐field out‐of‐plane vibration displacement acquisition based on speckle‐projection digital image correlation and its application in damage localization

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