STABILITY OF IDEAL FLUID MOTION IN SHELL STRUCTURES

Abstract

Mathematical models have been developed to analyse the stability of fluid vibrations in tanks and fuel reservoirs. These models are based on the application of potential theory and singular integral equations. To solve the singular equations, an efficient numerical method is used, which involves their reduction to one-dimensional form and the use of properties of generalized elliptic integrals. A system of differential equations is constructed, for which the conditions of solution stability are analyzed. This made it possible to determine the parameter ranges of loading that may lead to unstable behaviour of the structure.