LIQUID VIBRATIONS IN CYLINDRICAL AND CIONICAL SHELLS WITH AND WITHOUT BAFFLES

Abstract

During operation the shell and shell structures containing various liquid fillers can be exposed to intense dynamic effects. In order to analyze the strength of structures in these conditions, it is necessary to take into account nonlinear phenomena in fluid motion, since the application of linear equations does not provide an adequate assessment for estimating the pressure and sloshing amplitude. In this research a study of fluid vibrations in rigid cylindrical and conical reservoirs with and without baffles under lateral and longitudinal excitations has been carried out. The systems of differential equations that correspond to the linear and nonlinear formulation of the problem are obtained as in. It is assumed that a fluid is an ideal and incompressible one, and its motion caused by external influences, is non-vortex. In these suppositions, there exists a velocity potential that satisfies the Laplace equation. For slosh reducing, a lot of devices, such as baffles and cover membranes were proposed as well as new constructive materials for tank manufacture.