We study vibrations of a two-layer plate of any thickness with rigidly fixed plane faces and sliding contact of the layers. By the method of homogeneous solutions, we reduce the initial boundary-value problem to a countable set of two-dimensional boundary-value problems. Methods for the investigation of the spectral characteristics of SH and P-SV waves are proposed. We study the influence of the mechanical and geometric parameters on the variations of the phase and group velocities and the cutoff frequencies.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 55, No. 4, pp. 36–46, October–December, 2012.
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Altukhov, E.V., Simbratovich, E.V. & Fomenko, M.V. Steady-State Vibrations of Two-Layer Plates With Rigidly Fixed end Faces and Imperfect Contact of the Layers. J Math Sci 198, 39–53 (2014). https://doi.org/10.1007/s10958-014-1771-9
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DOI: https://doi.org/10.1007/s10958-014-1771-9