Abstract

We consider a plane transient problem for dynamics of the thin elastic elliptic shell, immersed in liquid and loaded by cylindrical acoustic pressure waves. Such a situation could be observed in various cooling systems of aviation and transport vehicles. In order to solve this problem an equation system for the coupled problem is formulated. Besides, the problems of hydroelasticity are reduced to the equation of shell dynamics, where the liquid damping effect (i.e. the dissipation) is considered by the introduction of the integral convolution in the time domain. The operator core is a surface transient function of the problem of diffraction of a cylindrical acoustic pressure wave on a convex surface. The approximate solution of this problem could be obtained on the background of the thin layer hypothesis considering liquid damping force. The appropriate integrodifferential equations of shell dynamics are solved numerically using the finite difference discretization of the differential operators while the integral operator is represented by the trapezoid integration formula.

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