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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2014 Issue 2(19), Pages 25–32 (Mi pfmt300)

PHYSICS

Penetration of the sound field of à spherical radiator through the spherical elastic shell

G. Ch. Shushkevich, S. V. Shushkevich, N. N. Kiseleva

Y. Kupala Grodno State University, Grodno, Belarus

Abstract: The analytical solution of a boundary problem, describing the process of penetration of the sound field of a spherical radiator, located inside a thin unclosed spherical shell, through the elastic spherical shell is developed. Influence of some parameters of a problem on the value of the attenuation coefficient (screening) of a sound field inside the spherical shell is numerically investigated.

Keywords: dual series equations for Legendre polynomials, infinite system of linear algebraic equations of the second kind with a completely continuous operator, attenuation coefficient of a sound field.

UDC: 534.26

Received: 18.02.2014



© Steklov Math. Inst. of RAS, 2026