Acoustic conductance of a thick-walled anisotropic spherical shell submerged in liquid

Abstract

In order to provide knowledge on the intensity of sound transmission through the whole thickness of an isotropic spherical shell its vibrations are resolved on the radius. The vibrations are caused by harmonic sources located on the inner surface. The relative vibration speed of the outer surface, which emits radial waves into the environment, was found. The analytical solution considers the contact interaction between the outer surface of the shell and the surrounding liquid. The method, which directs the Laplace transformations, enables to obtain a general solution of the wave problem for vibrations on the surface. The solution of the natural vibration equation and the expression of relative amplitude at non-resonance and resonance vibrations of the sphere have been investigated with regard to radial and circumferential elastic modulus as well as the relative parameters of surface thickness.

Keywords

• sphere vibrations
• isotropic material
• frequency
• Laplace method
• complex solution
• amplitude