LIQUID SLOSHING IN FUEL TANKS UNDER PERIODIC LOADS WITH DAMPING

Abstract

This research focuses on analysing the stability of fluid movement within tanks subjected to coupled external periodic loads, incorporating the effects of damping. An efficient computational method has been developed, utilizing the method of given modes and the onedimensional boundary element method. Upon solving the spectral problem and determining the natural frequencies and modes of liquid oscillations in a rigid tank, a system of differential equations is derived to describe the free surface's movement over time. These equations are obtained using the dynamic condition on the free surface. The stability of liquid movement under vertical harmonic loads is examined using the Ince-Strutt diagram for each fundamental frequency.