On selection of primary modes for generation of strong internally resonant second harmonics in plate

Liu, Yang; Chillara, Vamshi Krishna; Lissenden, Cliff J.

doi:10.1016/j.jsv.2013.03.021

Cited by 120 publications

(93 citation statements)

References 17 publications

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“…• Phase-matching condition 19,[23][24][25][26] The phase-matching condition is satisfied if and only if there exists a propagating guided wave mode in the plate at (2ω, 2k), where (ω, k) corresponds to the frequency and wavenumber of the primary mode. To proceed with the analysis, we first start with the following dispersion relations E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 2 4 ; 6 3 ; 4 3 …”

Section: Murnaghan Modelmentioning

confidence: 99%

“…• Nonzero power flux criterion 19,22,[25][26][27] To analyze nonzero power flux criterion, we adopt a parity analysis in terms of the displacement gradient (H). First, we begin by observing that the displacement field and the corresponding displacement gradient in the plate for different modes are of the following form given in Table 1.…”

Section: Murnaghan Modelmentioning

confidence: 99%

“…Likewise, two local approaches, namely cellular automata finite element and local interaction simulation approach have been employed 39 to study second-harmonic guided wave generation in waveguides. On the other hand, conventional finite element methods incorporating material and geometric nonlinearities were extensively used 26,28,36,[40][41][42] to study second-harmonic guided wave propagation in waveguides, especially in plates and pipes. In this section, we discuss the results from finite element simulations concerning second-harmonic guided waves in plates.…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…By orienting the permanent magnetic field bias collinear with the electric current in the coil, SH wave modes are activated/received, while orienting it perpendicular results in RL wave modes. Liu et al 26 showed that the internally resonant SH 3 − S 4 mode pair is cumulative and detectable with MSTs. The MST transmitter was configured to send the SH 3 mode at frequency f 0 ¼ 2.63 MHz, while the MST receiver was configured to receive the S 4 RL mode at 2f 0 .…”

Section: Magnetostrictive Transducersmentioning

confidence: 99%

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Review of nonlinear ultrasonic guided wave nondestructive evaluation: theory, numerics, and experiments

2015

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Abstract. Interest in using the higher harmonic generation of ultrasonic guided wave modes for nondestructive evaluation continues to grow tremendously as the understanding of nonlinear guided wave propagation has enabled further analysis. The combination of the attractive properties of guided waves with the attractive properties of higher harmonic generation provides a very unique potential for characterization of incipient damage, particularly in plate and shell structures. Guided waves can propagate relatively long distances, provide access to hidden structural components, have various displacement polarizations, and provide many opportunities for mode conversions due to their multimode character. Moreover, higher harmonic generation is sensitive to changing aspects of the microstructures such as to the dislocation density, precipitates, inclusions, and voids. We review the recent advances in the theory of nonlinear guided waves, as well as the numerical simulations and experiments that demonstrate their utility. 1 Introduction Nonlinear ultrasonic nondestructive evaluation uses interrogation signals at frequencies other than the excitation frequency to detect changes in structural integrity and characterize degradation of materials. Nonlinear ultrasonic methodologies provide improved sensitivity to damage and the ability to identify incipient damage relative to linear methods. In general, linear ultrasonic methods provide good sensitivity to macroscale damage such as long fatigue cracks. However, in many cases, once damage appears at the macroscale, the remaining life is short, severely limiting maintenance decisions. Thus, characterization of incipient damage could facilitate a paradigm shift in operations of structural systems from schedule-based to condition-based maintenance that would ultimately enhance safety and reduce life cycle costs. Nonlinear ultrasonics is a broad discipline 1,2 which encompasses many specialized techniques reliant upon nonlinear material behavior to detect and/or characterize incipient damage. Some of these include nonlinear resonant ultrasound spectroscopy, 3 nonlinear elastic wave spectroscopy, 4-6 and second-harmonic generation.

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Section: Murnaghan Modelmentioning

confidence: 99%

Section: Murnaghan Modelmentioning

confidence: 99%

Section: Numerical Simulationsmentioning

confidence: 99%

Section: Magnetostrictive Transducersmentioning

confidence: 99%

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Review of nonlinear ultrasonic guided wave nondestructive evaluation: theory, numerics, and experiments

2015

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“…There is rarely investigation of nonlinear SH guided waves in plate-like structure. In addition, generation and detection of SH guided waves are not as easy as other guided wave modes for the reason that the particle displacements of SH Recently, the interaction of SH0 guided wave mode with Rayleigh Lamb waves in weakly nonlinear plates were investigated in [12]. The cumulative second-harmonic generation accompanying nonlinear shear horizontal mode propagation in a solid plate was reported in [13].…”

Section: Introductionmentioning

confidence: 99%

Third Harmonic Generation of Shear Horizontal Guided Waves Propagation in Plate-like Structures

Li¹,

Xu²,

Cho³

2016

Journal of the Korean Society for Nondestructive Testing

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The use of nonlinear ultrasonics wave has been accepted as a promising tool for monitoring material states related to microstructural changes, as it has improved sensitivity compared to conventional non-destructive testing approaches. In this paper, third harmonic generation of shear horizontal guided waves propagating in an isotropic plate is investigated using the perturbation method and modal analysis approach. An experimental procedure is proposed to detect the third harmonics of shear horizontal guided waves by electromagnetic transducers. The strongly nonlinear response of shear horizontal guided waves is measured. The accumulative growth of relative acoustic nonlinear response with an increase of propagation distance is detected in this investigation. The experimental results agree with the theoretical prediction, and thus providing another indication of the feasibility of using higher harmonic generation of electromagnetic shear horizontal guided waves for material characterization. are not as easy as other guided wave modes for the reason that the particle displacements of SH

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Stress Monitoring of Plates by Means of Nonlinear Guided Waves

Wang

Pau

2022

Lecture Notes in Civil Engineering

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We investigate the propagation of nonlinear guided waves in plates in view of their application to the identification of the state of stress. The study is performed modelling via Finite Elements the propagation of Lamb waves in a prestressed plate, whose equations of motion are a second-order approximation accounting for both geometric and material nonlinearities. Different intial prestress conditions are investigated, parallel and orthogonal to the direction of wave propagation. A couple of physical phenomena presenting remarkable sensitivity to initial stress emerged using the resonant couple of S1-S2 modes. First, the increase of the secondary wave amplitude with propagation distance is clearly observed together with the sensitivity of the second-harmonic amplitude to the initial state of prestress. Second, a subharmonic and superharmonics are observed, due to the interaction between primary and secondary waves.

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On selection of primary modes for generation of strong internally resonant second harmonics in plate

Cited by 120 publications

References 17 publications

Review of nonlinear ultrasonic guided wave nondestructive evaluation: theory, numerics, and experiments

Review of nonlinear ultrasonic guided wave nondestructive evaluation: theory, numerics, and experiments

Third Harmonic Generation of Shear Horizontal Guided Waves Propagation in Plate-like Structures

Stress Monitoring of Plates by Means of Nonlinear Guided Waves

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