On the application of asymtotic models in the problem of acoustic waves scattering by elastic cylindrical shell

Abstract

The problem of scattering of stationary acoustic waves by elastic cylindrical shell is considered. Beyond the vicinity of a zero frequency and blocking frequencies the model of a flat layer type is used, while in the neighborhood of a zero frequency the refined shell Kirchhof-Love theory is applied and in the neighborhood of blocking frequencies the use is made of the long-wave high-frequency approximation of the equations of the elasticity theory. On the basis of asymptotic approximations an approximate solution has been developed, which makes it possible to describe the scattering process in a wide range of frequencies. The numerical example has been considered, the comparison with the exact solution has been presented.