J0504-3-3 Nonlinear responses of liquid sloshing in a square tank subjected to obliquely horizontal excitation

Abstract

Nonlinear responses of surface waves in a square tank, subjected to horizontal excitation with an oblique angle, are investigated. In the theoretical analysis, the modal equations of motion for the seven sloshing modes are derived. Then, van der Pol's method is used to determine the frequency response curves. In the numerical calculations, as the direction of excitation increases from 0° to 45°, the shapes of the response curves become complicated due to the nonlinear coupling of (1,0) and (0,1) sloshing modes. In the experiments, the validity of the numerical results was confirmed.