Numerical study on static component generation from the primary Lamb waves propagating in a plate with nonlinearity

Wan, Xiang; Tse, Peter W.; Zhang, Xuhui; Xu, Guanghua; Zhang, Qing; Fan, Hongwei; Mao, Qinghua; Dong, Ming; Wang, Chuanwei; Ma, Hongwei

doi:10.1088/1361-665x/aaafeb

Cited by 41 publications

(20 citation statements)

References 46 publications

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“…In fact, the stronger zero-frequency mode compared with the second harmonic was also obtained in [ 45 ] through a COMSOL simulation; nevertheless, it was ignored. The results of our simulation are consistent with those of a previous study [ 39 ]. Physically, the zero-frequency displacement mode represents the irreversible shift of a particle from its original equilibrium position.…”

Section: Simulationsupporting

confidence: 92%

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Interaction of Lamb Wave Modes with Weak Material Nonlinearity: Generation of Symmetric Zero-Frequency Mode

Sun

Ding

et al. 2018

Sensors

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The symmetric zero-frequency mode induced by weak material nonlinearity during Lamb wave propagation is explored for the first time. We theoretically confirm that, unlike the second harmonic, phase-velocity matching is not required to generate the zero-frequency mode and its signal is stronger than those of the nonlinear harmonics conventionally used, for example, the second harmonic. Experimental and numerical verifications of this theoretical analysis are conducted for the primary S0 mode wave propagating in an aluminum plate. The existence of a symmetric zero-frequency mode is of great significance, probably triggering a revolutionary progress in the field of non-destructive evaluation and structural health monitoring of the early-stage material nonlinearity based on the ultrasonic Lamb waves.

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Section: Simulationsupporting

confidence: 92%

“…To overcome these limitations, Sun et al (theory) [ 38 ] and Wan et al (simulation) [ 39 ] have shown that the signal of the zero-frequency mode is stronger than that of the traditional nonlinear harmonics for Lamb waves. Unlike the second harmonic, phase-velocity matching is not required for the zero-frequency mode accumulation.…”

Section: Introductionmentioning

confidence: 99%

Interaction of Lamb Wave Modes with Weak Material Nonlinearity: Generation of Symmetric Zero-Frequency Mode

Sun

Ding

et al. 2018

Sensors

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“…Studies associated with nonlinear analysis methods have been reported in different works [64,65]. Similarly, methodological limitations caused by the propagation of linear excitation signals were described in Reference [66].…”

Section: Limitationsmentioning

confidence: 99%

Damage Identification in Structural Health Monitoring: A Brief Review from its Implementation to the Use of Data-Driven Applications

Burgos

Vargas

Pedraza

et al. 2020

Sensors

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The damage identification process provides relevant information about the current state of a structure under inspection, and it can be approached from two different points of view. The first approach uses data-driven algorithms, which are usually associated with the collection of data using sensors. Data are subsequently processed and analyzed. The second approach uses models to analyze information about the structure. In the latter case, the overall performance of the approach is associated with the accuracy of the model and the information that is used to define it. Although both approaches are widely used, data-driven algorithms are preferred in most cases because they afford the ability to analyze data acquired from sensors and to provide a real-time solution for decision making; however, these approaches involve high-performance processors due to the high computational cost. As a contribution to the researchers working with data-driven algorithms and applications, this work presents a brief review of data-driven algorithms for damage identification in structural health-monitoring applications. This review covers damage detection, localization, classification, extension, and prognosis, as well as the development of smart structures. The literature is systematically reviewed according to the natural steps of a structural health-monitoring system. This review also includes information on the types of sensors used as well as on the development of data-driven algorithms for damage identification.

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“…In contrast to the traditionalpoint‐by‐point ultrasonicC‐scanning, the use of Lamb waves simplifies evaluation of microdamages in bigger structures as they can propagate longer distances with low decay rate and cover entire cross section . The low‐frequency S 0 − S 0 mode pair andhigh‐frequency S 1 − S 2 or S 2 − S 4 resonant mode pairs can be used to fulfill the requirements for cumulative propagation of the second harmonic …”

Section: Introductionmentioning

confidence: 99%

“…2 The low-frequency S 0 − S 0 mode pair andhigh-frequency S 1 − S 2 or S 2 − S 4 resonant mode pairs can be used to fulfill the requirements for cumulative propagation of the second harmonic. 11,13,14 The ultrasonic nonlinearity parameter estimated for a material using amplitude of second harmonic contains information about the nonlinearity of the propagating medium. 15 In the case of longitudinal waves, the material nonlinearity can be estimated using the equation 2,16 β ¼ 8…”

mentioning

confidence: 99%

Estimation of remaining useful life of fatigued plate specimens using Lamb wave‐based nonlinearity parameters

Tse

Masurkar

Yelve³

2020

Struct Control Health Monit

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Summary The present study focuses on estimating material nonlinearity and consequently remaining useful life of fatigued specimens using the amplitude‐ and physics‐based material nonlinearity parameters evaluated for Lamb wave motion in plate specimens. The amplitude‐based nonlinearity parameter depends on amplitudes of the Lamb wave harmonics generated due to material nonlinearity. Here, it is employed to estimate the inherent and dislocation induced material nonlinearities for different stages of fatigue. The cumulative effect is obtained from the strict matching of phase and group velocities of the S1 − S2 mode pair. The physics‐based nonlinearity parameter is obtained from the higher order elastic coefficients, plastic coefficients, and substructural evolution parameters. It does not depend on wave propagation distance; however, it depends on percent fatigue life. Thus, it is used to construct a theoretical nonlinearity curve. A spectral amplitude normalization technique is given to systematically evaluate the material nonlinearity, once the Lamb wave data over different wave propagation distances are known either from experiments or from simulations. The values of amplitude‐based nonlinearity parameter thus estimated through the simulation and experiments for different fatigue stages are then plotted onto the obtained theoretical nonlinearity curve. A reasonably good agreement is seen between the fatigue life estimations given by both the nonlinearity parameters. Thus, the amplitude‐based nonlinearity parameter obtained from the Lamb wave response can be effectively used to estimate the remaining useful life of the fatigued plate specimens.

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Numerical study on static component generation from the primary Lamb waves propagating in a plate with nonlinearity

Cited by 41 publications

References 46 publications

Interaction of Lamb Wave Modes with Weak Material Nonlinearity: Generation of Symmetric Zero-Frequency Mode

Interaction of Lamb Wave Modes with Weak Material Nonlinearity: Generation of Symmetric Zero-Frequency Mode

Damage Identification in Structural Health Monitoring: A Brief Review from its Implementation to the Use of Data-Driven Applications

Estimation of remaining useful life of fatigued plate specimens using Lamb wave‐based nonlinearity parameters

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