Acoustic wave diffraction by an elastic cylindrical shell with viscous filling

Abstract

The acoustic field scattered by a solid is determined not only by the shape of the obstacle, but also by its elastic and dissipative properties. The effects due to 'the latter factors depend substantially on the wave frequency, and are particularly manifested at partial and combined frequency characteristics of the scattering system. The "introduction of polymer and composite materials in the practice of hydroacoustic instrument manufacturing requires the use of more complete computational schemes and mechanical models for the analysis of diffraction and radiation of acoustic waves [5, 7]. The mathematical model of the wave process formulated in this way is substantially more complicated than used earlier [6], and requires more difficult and nontrivial analysis. From this point of view we solve in the present paper the hydroacoustic wave problem for a classical shape object with complex properties.