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Lamb waves generated by complex harmonic inhomogeneous plane waves
Olivier Poncelet,Marc Deschamps +1 more
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In this article, a theoretical investigation of the generation of Lamb waves inside an immersed plate by complex harmonic inhomogeneous plane waves is presented, and it is shown that dispersion curves of transient Lamb waves (only the frequency is complex) can be very different from the dispersion curve of permanent leaky waves, especially for the A0 and S0 modes for which there exists a cut-off frequency beyond which these modes do not exist.Abstract:
This paper presents a theoretical investigation of the generation of Lamb waves inside an immersed plate by complex harmonic inhomogeneous plane waves. Whereas free modes of a fluid-loaded plate are classically assumed to be formed by inhomogeneous plane waves with real frequency (leaky waves), the nature of Lamb waves is searched in this study in terms of combinations of transient inhomogeneous plane waves characterized by a complex slowness vector and a complex frequency. It is shown that dispersion curves of transient Lamb waves (only the frequency is complex) can be very different from the dispersion curves of permanent leaky waves (only the slowness is complex), especially for the A0 and S0 modes for which there exists a cut-off frequency beyond which these modes do not exist. In the general case, when both the frequency and the slowness are complex, connections between modes clearly appear from the calculation of dispersion curves.read more
Citations
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Theoretical and experimental studies of surface waves on solid-fluid interfaces when the value of the fluid sound velocity is located between the shear and the longitudinal ones in the solid
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References
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On waves in an elastic plate
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Matrix techniques for modeling ultrasonic waves in multilayered media
TL;DR: This paper presents a review of the main developments of the matrix techniques, and their use in response and modal models, with emphasis on ultrasonics applications.
Journal ArticleDOI
Theory of elastic resonance excitation by sound scattering
TL;DR: In this article, the resonance formalism of nuclear reaction theory is applied to the problem of sound scattering from submerged elastic bodies (illustrated here by circular cylinders and spheres), and it is demonstrated that the strongly fluctuating behavior of, e.g., the backscattering cross section is caused by a superposition of generally narrow resonances in the individual normal modes (partial waves), which move up in frequency from one partial wave to the next, corresponding to a series of creeping waves (Regge poles) and which are superimposed on a background of rigid-body (potential
Journal ArticleDOI
Resonance theory of acoustic waves interacting with an elastic plate
TL;DR: In this paper, the resonance analysis of an elastic layer immersed in a fluid is analyzed by extending the resonance formalism, previously developed by us for the case of a fluid layer [J. Acoust. Soc. Am. 65, 9−14 (1979)].
Journal ArticleDOI
Propagation of guided waves in fluid-coupled plates of fiber-reinforced composite
Adnan H. Nayfeh,Dale E. Chimenti +1 more
TL;DR: In this paper, the authors used a total-transmission criterion for leaky plate wave propagation in fiber-reinforced composites and found that the results of the Cremer coincidence condition were not consistent with the experimental data.
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