Nonlinear Surface Waves in a Nearly Square Liquid Tank under Vertical Excitation

摘要

This paper investigates the parametric excitation of a liquid surface in a nearly square tank when the 1:1 internal resonance is nearly satisfied. The two sloshing modes, (1, 0) and (0, 1) are nonlinearly coupled. The dependence of amplitude-frequency response curves on the liquid level, the excitation amplitude, and the aspect ratio of the tank length and breadth are analytically and numerically predicted. The predicted results are compared with those measured experimentally and some discrepancies were observed.