Nonstationary Vibrations of Electroelastic Cylindrical Shell in Acoustic Layer

The propagation of a pressure wave in a fluid bounded by two parallel plane boundaries generated by an infinitely long cylindrical electroelastic shell submerged into the fluid is considered. To describe the motion of the shell and the processes in the fluid, the equations of the linear theory of shells generalized to the case of electromechanics and the acoustic approximation are used. The problem-solving method is based on application of the image source method, the method of separation of variables, and Laplace integral transform. The method is used to reduce the problem to an infinite system of Volterra equations with delay arguments, which is numerically solved using the reduction method and regularizing procedures. The hydrodynamic pressure is calculated for the case where either step-wise or sinusoidal electric pulse load is applied to the continuous electrodes of the shell.