On the specific features of the spectrum of eigenmodes of elastic bodies
DOI:
https://doi.org/10.15407/dopovidi2018.05.022Keywords:
edge resonance, elastic waveguide, inhomogeneous wavesAbstract
An analysis of the characteristics of the resonance on inhomogeneous waves with symmetric vibrations of a semi-infinite plate with free lateral boundary and free end is carried out. At the frequency of the edge resonance, the first propagating normal wave is formed by the superposition of propagating SV-wave and an inhomogeneous P-wave. Qualitatively, the edge resonance is due to the peculiarities of the reflection of elastic waves from the free boundary.
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Grinchenko, V. T. & Meleshko, V. V. (1981). Harmonic oscillations and waves in elastic bodies. Kiev: Naukova Dumka (in Russian).
Viktorov, I. A. (1966). Physical bases of application of ultrasonic waves of Rayleigh and Lamb in engineering. Moscow: Nauka (in Russian).
Shaw, E. A. G. (1956). On the resonant vibration of thin barium titanate disks. J. Acoust. Soc. Amer., 20, No. 1, pp. 38-50. doi: https://doi.org/10.1121/1.1908218
Pagneux, V. (2006). Revisiting the edge resonance for Lamb waves in a semi-infinite plate. J. Acoust. Soc. Amer., 120, No. 2, pp. 649-656. doi: https://doi.org/10.1121/1.2214153
Gorodetskaya, N. S. (2001). Once again about the edge resonance. Akust. Visn., 3, No. 4, pp. 35-44 (in Russian).
Grinchenko, V. T., Gorodetskaya, N. S. & Meleshko, V. V. (2011). Resonance on inhomogeneous waves in an elastic semi-infinite plate. Akust. Visn., 14, No. 1, pp. 20-29 (in Russian).
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