The penetration of the sound field of the spherical radiator through the plane elastic layer

In this paper the results of exact solution of the axisymmetric problem of the penetration of the sound field through the plane elastic layer are presented. The spherical radiator is located in a thin unclosed spherical shell as the source of the acoustic field. Using appropriate theorems, the solution of the boundary conditions problem is reduced to solve dual functions in Legendre's polynomials, which are converted to the infinite system of linear algebraic equations of the second kind with a completely continuous operator. The influence of some parameters of the problem on the value of the coefficient of shielding sound field is investigated.