Nonlinear Interaction of Acoustical Waves Due to Cracks and Its Possible Usage for Cracks Detection

Zaitsev, Vladimir Yu.; Sutin, Alexander; Belyaeva, I. Yu.; Назаров, В. Е.

doi:10.1177/107754639500100305

Cited by 48 publications

(28 citation statements)

References 4 publications

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“…Among the many available approaches to SHM, methods based on nonlinear vibration/ acoustic phenomena are of special interest, gaining an increasing attention in the scientific community [4][5][6]. This is mainly due to the fact that the nonlinear damage detection methods are usually more sensitive to detect small damage severities than their linear counterparts [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Generation of higher harmonics in longitudinal vibration of beams with breathing cracks

Broda

Pieczonka

Hiwarkar

et al. 2016

Journal of Sound and Vibration

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a b s t r a c tClassical nonlinear vibration methods used for structural damage detection are often based on higher-and sub-harmonic generation. However, nonlinearities arising from sources other than damage -e.g. boundary conditions or a measurement chain -are a primary concern in these methods. This paper focuses on localisation of damage-related nonlinearities based on higher harmonic generation. Numerical and experimental investigations in longitudinal vibration of beams with breathing cracks are presented. Numerical modelling is performed using a two-dimensional finite element approach. Different crack depths, locations and boundary conditions are investigated. The results demonstrate that nonlinearities in cracked beams are particularly strong in the vicinity of damage, allowing not only for damage localisation but also for separation of crack induced nonlinearity from other sources of nonlinearities.

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Section: Introductionmentioning

confidence: 99%

Generation of higher harmonics in longitudinal vibration of beams with breathing cracks

Broda

Pieczonka

Hiwarkar

et al. 2016

Journal of Sound and Vibration

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show abstract

“…If the structure is undamaged and linear, the structure's response will simply be the superposition of its response to each of the signals individually. However, if the system is damaged and consequently nonlinear, the two signals interact with one another in such a way that the probing signal is modulated by the pumping signal in amplitude, frequency, or both amplitude and frequency [17].…”

Section: Introductionmentioning

confidence: 99%

Vibro-Acoustic Modulation Utilizing a Swept Probing Signal for Robust Crack Detection

Yoder

Adams

2010

Structural Health Monitoring

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One practical issue that must be addressed prior to the implementation of a vibration-based structural health monitoring system is the influence that variations in the structure's environmental and boundary conditions can have on the vibration response of the structure. This issue is especially prominent in the structural health monitoring of aircraft, which operate in a wide variety of different environmental conditions and possess complex structural components connected through various boundary conditions. However, many types of damage introduce nonlinear stiffness and damping restoring forces, which may be used to detect damage even in the midst of these varying conditions. Vibro-acoustic modulation is a nondestructive evaluation technique that is highly sensitivity to the presence of nonlinearities. One factor that complicates the use of vibro-acoustic modulation as a structural health monitoring technique is that the amount of measured modulation has been shown to be dependent on the frequency of the probing signal. The frequency dependence of the modulation was investigated and the magnitude of modulation was found to be correlated with the underlying vibration characteristics of the structure, which are influenced by environmental and boundary condition variations. To facilitate the use of nonlinear vibro-acoustics for the health monitoring of complex aerospace components in varying environments, a vibro-acoustic modulation technique utilizing a swept probing signal has been developed. The developed method was demonstrated on a steel beam in varying operational conditions. The presence of a crack in the beam was detected both through an increase in the amount of normalized modulation and without the use of historical data by utilizing generalized extreme value statistics.

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“…2 Therefore, their application to non destructive evaluation and structural health monitoring has drawn considerable research interest. 3,4 There are very few studies of guided nonlinear elastic waves due to the mathematical complexity of the problem. The nonlinear Navier equations are further complicated by geometrical constraints essential to the generation and sustenance of guided waves.…”

Section: Introductionmentioning

confidence: 99%

On the existence of antisymmetric or symmetric Lamb waves at non-linear higher harmonics

Srivastava

Scalea

2009

SPIE Proceedings

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This article theoretically studies the symmetry characteristics of Rayleigh-Lamb guided waves in nonlinear, isotropic plates. It has been known that the nonlinearity driven double harmonic in Lamb waves does not support antisymmetric motion. However the proof of this has not been obvious. Moreover, little is known on nonlinearity driven Lamb harmonics higher than double. These gaps were here studied by the method of perturbation coupled with wavemode orthogonality and forced response. This reduced the nonlinear problem to a forced linear problem which was subsequently investigated to formulate an energy level constraint as the defining factor for the absence of antisymmetry at any order of higher harmonic. This constraint was then used to explain the reason behind the absence of antisymmetric Lamb waves at the double harmonic. Further, it was shown that antisymmetric motion is prohibited at all the higher-order even harmonics, whereas all the higher order odd harmonics allow both symmetric and antisymmetric motions. Finally, experimental results corroborating theoretical conclusions are presented.

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Nonlinear Interaction of Acoustical Waves Due to Cracks and Its Possible Usage for Cracks Detection

Cited by 48 publications

References 4 publications

Generation of higher harmonics in longitudinal vibration of beams with breathing cracks

Generation of higher harmonics in longitudinal vibration of beams with breathing cracks

Vibro-Acoustic Modulation Utilizing a Swept Probing Signal for Robust Crack Detection

On the existence of antisymmetric or symmetric Lamb waves at non-linear higher harmonics

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