On the specific features of the spectrum of eigenmodes of elastic bodies

TitleOn the specific features of the spectrum of eigenmodes of elastic bodies
Publication TypeJournal Article
Year of Publication2018
AuthorsGrinchenko, VT, Gorodetska, NS
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2018.05.022
Issue5
SectionMechanics
Pagination22-27
Date Published5/2018
LanguageUkrainian
Abstract

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.
Keywordsedge resonance, elastic waveguide, inhomogeneous waves
References: 
  1. Grinchenko, V. T. & Meleshko, V. V. (1981). Harmonic oscillations and waves in elastic bodies. Kiev: Naukova Dumka (in Russian).
  2. Viktorov, I. A. (1966). Physical bases of application of ultrasonic waves of Rayleigh and Lamb in engineering. Moscow: Nauka (in Russian).
  3. 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
  4. 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
  5. Gorodetskaya, N. S. (2001). Once again about the edge resonance. Akust. Visn., 3, No. 4, pp. 35-44 (in Russian).
  6. 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).