Finite-amplitude waves in isotropic elastic plates

Lima, Washington Jose Noberto de; Hamilton, Mark F.

doi:10.1016/s0022-460x(02)01260-9

Cited by 357 publications

(287 citation statements)

References 16 publications

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“…When vibration wave and ultrasonic wave, at distinctive frequencies f1 and f2 (f1<20 kHz, f2>20 kHz), propagate through a crack in a plate-like structure in the z-direction, the total particle displacement u T can be written as follows (11) :…”

Section: Principle Of Modulated Ultrasonicmentioning

confidence: 99%

A damage detection system using modulated ultrasonic and fiber Bragg grating

Huang¹,

Tan²

2018

Proceedings of the 2017 3rd International Forum on Energy, Environment Science and Materials (IFEESM 2017)

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Abstract. This study presents a damage detection system using modulated ultrasonic and fiber Bragg grating (FBG) in Aluminum thin plate. In the system, modulated ultrasonic technology and FBG sensing technology were combined to detect damage. Piezoelectric patches used to excite ultrasonic and FBG were pasted on a Acrylic plate and then contacted with specimen by coupling, so the excitation point of ultrasonic and sensing point of FBG can be modified arbitrarily. Experiment results showed that the system can detect the damage signal more flexibly.

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Section: Principle Of Modulated Ultrasonicmentioning

confidence: 99%

A damage detection system using modulated ultrasonic and fiber Bragg grating

Huang¹,

Tan²

2018

Proceedings of the 2017 3rd International Forum on Energy, Environment Science and Materials (IFEESM 2017)

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“…Combining Eqs. (7), (8) and (12), the nonlinear boundary value problem is divided into two linear boundary value problems. In the first-order approximation, the governing equation and boundary condition are given by…”

Section: -3mentioning

confidence: 99%

“…6,7 Two conditions for the generation of the cumulative second harmonic wave were summarized using perturbation method and modal analysis: (1) phase velocity matching; (2) non-zero power transfer from the primary to the second harmonic wave. 8 Müller et al 9 obtained analytical asymptotic solutions to Lamb waves and five mode types for the cumulative increase in the amplitude of the second harmonic wave with the propagation distance. The theoretical analysis was extended from plate like structures to cylindrical rod and pipe structures by de Lima et al 10 and Chillara et al 11 More recently, Liu et al demonstrated a method for the selection of primary modes with respect to the internal resonance, 12 also extended the work to higher order harmonics.…”

Section: Introductionmentioning

confidence: 99%

Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections

Zuo

Zhou²,

Fan

2016

AIP Advances

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Nonlinear guided waves have been investigated widely in simple geometries, such as plates, pipe and shells, where analytical solutions have been developed. This paper extends the application of nonlinear guided waves to waveguides with arbitrary cross sections. The criteria for the existence of nonlinear guided waves were summarized based on the finite deformation theory and nonlinear material properties. Numerical models were developed for the analysis of nonlinear guided waves in complex geometries, including nonlinear Semi-Analytical Finite Element (SAFE) method to identify internal resonant modes in complex waveguides, and Finite Element (FE) models to simulate the nonlinear wave propagation at resonant frequencies. Two examples, an aluminum plate and a steel rectangular bar, were studied using the proposed numerical model, demonstrating the existence of nonlinear guided waves in such structures and the energy transfer from primary to secondary modes.

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“…Normally, a lowfrequency pumping input and a high-frequency probing input are used in NWMS for creating modulation. Here, the amplitude of modulation heavily depends on the choice of the probing and pumping frequencies, and the optimal combination of these two input frequencies is also affected by environmental and operational conditions (e.g., temperature and loading) of the target structure and even by defect configurtions [7,[9][10][11]. Therefore, finding the optimal combination of the probing and pumping frequencies, which can maximize the modulation level, becomes a moving target.…”

Section: Introductionmentioning

confidence: 99%

Fatigue Crack Localization Using Laser Nonlinear Wave Modulation Spectroscopy (LNWMS)

Li¹,

Sohn²,

Kundu³

2014

Journal of the Korean Society for Nondestructive Testing

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Nonlinear features of ultrasonic waves are more sensitive to the presence of a fatigue crack than their linear counterparts are. For this reason, the use of nonlinear ultrasonic techniques to detect a fatigue crack at its early stage has been widely investigated. Of the different proposed techniques, laser nonlinear wave modulation spectroscopy (LNWMS) is unique because a pulse laser is used to exert a single broadband input and a noncontact measurement can be performed. Broadband excitation causes a nonlinear source to exhibit modulation at multiple spectral peaks owing to interactions among various input frequency components. A feature called maximum sideband peak count difference (MSPCD), which is extracted from the spectral plot, measures the degree of crackinduced material nonlinearity. First, the ratios of spectral peaks whose amplitudes are above a moving threshold to the total number of peaks are computed for spectral signals obtained from the pristine and the current state of a target structure. Then, the difference of these ratios are computed as a function of the moving threshold. Finally, the MSPCD is defined as the maximum difference between these ratios. The basic premise is that the MSPCD will increase as the nonlinearity of the material increases. This technique has been used successfully for localizing fatigue cracks in metallic plates.

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Finite-amplitude waves in isotropic elastic plates

Cited by 357 publications

References 16 publications

A damage detection system using modulated ultrasonic and fiber Bragg grating

A damage detection system using modulated ultrasonic and fiber Bragg grating

Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections

Fatigue Crack Localization Using Laser Nonlinear Wave Modulation Spectroscopy (LNWMS)

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