Abstract
Edge resonance in elastic bodies of finite sizes is a specific phenomenon without analogs in wave fields in electrodynamics and acoustics. This phenomenon was examined by studying normal modes of finite elastic cylinders and plates. With excitation of the edge resonance, an unusual wave effect is formed. The eigenfrequency of an elastic body is independent of its geometrical size and, in some cases, even increases with increasing body dimension. Eigenfrequency of edge resonance is into the frequency range where only one propagating wave exists in the corresponding infinite cylinder or layer. It gives a basis for the general qualitative conclusion that edge resonance is a result of intensive excitation of evanescent waves. However, such an obvious idea does not open the nature of the edge mode formation. The analysis of longitudinal and shear components of propagating wave gives way to understanding specific features of reflection of normal wave in semi-infinite waveguides. The determining role of effects of transformation of longitudinal wave in shear wave and vice versa at reflection from free boundary is shown. Dependence of quantitative characteristics of these effects from Poisson’s ratio allows estimation of the quality factor of edge resonance and changes corresponding eigenfrequency.
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