Non-stationary diffraction problem of a plane oblique pressure wave on the shell in the form of a hyperbolic cylinder taking into account the dissipation effect

Abstract

The plane non-stationary problem of the dynamics of a thin elastic shell in the form of a hyperbolic cylinder immersed in a liquid under the action of an oblique acoustic pressure wave is considered. To solve this problem, a system of equations is constructed in a related statement. In this case, hydroelasticity problems are reduced to equations of shell dynamics, the damping effect of the liquid (dissipation effect) is taken into account by introducing an integral operator of the convolution type in the time domain. The problem is solved approximately on the basis of the hypothesis of a thin layer taking into account the damping forces in the liquid. The integro-differential equations of shell motion are solved numerically based on the difference discretization of differential operators and the representation of the integral operator by the sum using the trapezoid rule. The kinematic and static parameters of the system are given.