Abstract: The study of unsteady stability of underwater structures and constructions operating under the influence of various wave processes is a pressing task for the purposes of their safe operation. This paper considers the problem of unsteady radial oscillations of an elastic spherical layer in an ideal fluid. Nonstationary wave processes in an infinite space of an ideal fluid are investigated for unsteady radial oscillations of the elastic spherical layer and within the layer. An analytical solution to the problem is constructed in the image space of the Laplace transform over time. Exact expressions were obtained for the coefficients of component series of the displacement and the stress tensor, as well as for the hydrodynamic parameters of the surrounding medium. Numerical results are calculated for the steel-water, aluminum-water, and aluminum-glycerin systems. The results of the numerical experiments are analyzed. The results of this work can be used in shipbuilding, aircraft manufacturing, and in the design of underwater reservoirs.

Keywords: wave processes, spherical layer, Laplace transform, radial oscillations, ideal fluid, wave equation, matrix equation

Pages: 178-188