Middle thickness shell's interaction with acoustical wave

Аuthors

Egorova O. V.^1*, Zhavoronok S. I.², Rabinsky L. N.^1**

1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
2. Institute of Applied Mechanics of Russian Academy of Science, IPRIM RAS, 7, Leningradskiy Prospekt, Moscow, 125040, Russia

*e-mail: janus_olga@mail.ru
**e-mail: f9_dec@mai.ru

Abstract

A non-steady dynamics' problem for an elastic shell interacting with waves in liquid media is considered. The coupled hydroelasticity equation's system for both shell and media is reduced to the equation's system of damped motion of shell, where damping is described by the integral operator in the time domain. The operator's kernel is the surface transition function, derived as a fundamental solution of the problem of acoustical wave diffraction on the convex surface. This auxiliary problem is solved approximately using the thin layer hypothesis, considering the damping in the liquid media. Integra-differential equations of shell's motion in damping media are solved numerically using finite-difference schema of differential operator's discretization and trapezoidal schema of numerical integration. The presented results are developing the earlier results published in [5].

Keywords:

non-steady dynamics, anisotropic shells, first-order theory, surface transient functions