Abstract:
The problem of reflection and refraction of a planar acoustic wave by an inhomogeneous elastic layer whose material possesses general-type anisotropy is considered. The equations of motion of the elastic layer are reduced to a system of ordinary differential equations. The boundary-value problem for this system is solved by two methods: by reduction to problems with initial conditions and by the method of power series. Analytical expressions that describe acoustic fields outside the layer are obtained. Calculation results of the transmission factor for transversely isotropic layers inhomogeneous in thickness are presented.
Citation:
L. A. Tolokonnikov, “Reflection and refraction of a planar acoustic wave in an anisotropic inhomogeneous layer”, Prikl. Mekh. Tekh. Fiz., 40:5 (1999), 179–184; J. Appl. Mech. Tech. Phys., 40:5 (1999), 936–941
\Bibitem{Tol99}
\by L.~A.~Tolokonnikov
\paper Reflection and refraction of a planar acoustic wave in an anisotropic inhomogeneous layer
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 5
\pages 179--184
\mathnet{http://mi.mathnet.ru/pmtf3154}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 5
\pages 936--941
\crossref{https://doi.org/10.1007/BF02468480}
Linking options:
https://www.mathnet.ru/eng/pmtf3154
https://www.mathnet.ru/eng/pmtf/v40/i5/p179
This publication is cited in the following 3 articles:
Nikolai Nikolaevich Dobrovolskii, Nikolai Vladimirovich Larin, Sergei Alekseevich Skobeltsyn, Lev Alekseevich Tolokonnikov, “O resheniyakh obratnykh zadach difraktsii zvukovykh voln”, Chebyshevskii Sbornik, 20:3 (2020), 220
N. V. Larin, S. A. Skobel'tsyn, L. A. Tolokonnikov, “Determination of the inhomogeneity laws for an elastic layer with preset sound-reflecting properties”, Acoust. Phys., 61:5 (2015), 504
Anastasiia Anufrieva, Dmitry Chickrin, Dmitrii Tumakov, “On Peculiarities of Propagation of a Plane Elastic Wave through a Gradient Anisotropic Layer”, Advances in Acoustics and Vibration, 2015 (2015), 1
Citation in format AMSBIB
Contact us: