Abstract
The spectra of SH guided waves in an isotropic continuously layered plate with arbitrary profile of the limiting slowness ŝ(y) across the plate are explicitly analyzed for high frequencies ω in the framework of “adiabatic” approximation. Dispersion equations and their solutions are analytically found for free, clamped or free-clamped faces of the plate. The positions of horizontal asymptotes for dispersion branches are determined by extreme points y i of the dependence ŝ(y) including also inflection points and “linear” (non-extreme) min/max points. In the vicinity of all asymptotic levels, apart from the upper one, spectra form specific ladder-like patterns. Explicit asymptotics of dispersion curves are derived for a series of particular local dependencies ŝ(y) in the vicinity of points y i .
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The authors are grateful to D.A. Bessonov for the help in computing.
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Alshits, V.I., Nowacki, J.P. (2018). High-Frequency Spectra of SH GuidedWaves in Continuously Layered Plates. In: Altenbach, H., Pouget, J., Rousseau, M., Collet, B., Michelitsch, T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 1. Advanced Structured Materials, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-319-72440-9_2
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DOI: https://doi.org/10.1007/978-3-319-72440-9_2
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