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IssuesArchive of Issues2005-5pp.60-65

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A. G. Gorshkov, D. V. Tarlakovskii, and A. M. Shukurov, "Nonstationary vibrations of a system of two eccentric spherical shells with an acoustic filler," Mech. Solids. 40 (5), 60-65 (2005)
Year 2005 Volume 40 Number 5 Pages 60-65
Title Nonstationary vibrations of a system of two eccentric spherical shells with an acoustic filler
Author(s) A. G. Gorshkov (Moscow)
D. V. Tarlakovskii (Moscow)
A. M. Shukurov (Karshi)
Abstract The axisymmetric problem on wave propagation in an acoustic medium confined between two eccentric thin elastic spherical shells is studied. It is reduced to an infinite system of linear algebraic equations in the space of Laplace transforms. The original unknown functions are then found with the help of residues.

Similar problems and methods for their solution were considered in [1, 2].
References
1.  A. G. Gorshkov, D. V. Tarlakovskii, and A. M. Shukurov, "Nonstationary vibrations of an elastic medium confined between two eccentric spherical surfaces," PMM [Applied Mathematics and Mechanics], Vol. 58, No. 2, pp. 85-92, 1994.
2.  A. G. Gorshkov, D. V. Tarlakovskii, and A. M. Shukurov, "Unsteady vibrations of two thin elastic spherical shells in an acoustic," Izv. AN. MTT [Mechanics of Solids], No. 6, pp. 128-433, 1999.
3.  A. G. Gorshkov and D. V. Tarlakovskii, Nonstationary Aerohydroelasticity of Spherical Bodies [in Russian], Nauka, Moscow, 1990.
4.  E. A. Ivanov, Diffraction of Electromagnetic Waves on Two Bodies [in Russian], Nauka i Tekhnika, Minsk, 1968.
Received 27 May 2005
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