648 Nonlinear Parametric Vibrations of an Elastic Structure Carrying Two Rectangular Liquid-Filled Tanks

Abstract

Nonlinear vibrations of an elastic structure carrying two liquid-filled tanks are investigated. When a harmonic excitation is vertically applied to the structure, and when a ratio 2:1:1 of internal resonance is satisfied among the natural frequencies of the structure and two liquid tanks, modal equations are derived considering the nonlinearity of the hydrodynamic force. Then, theoretical resonance curves are calculated by using Andronov and Witt's method. Two types of vibrations can occur depending on the excitation frequency and the liquid depth : a single mode (sloshing in either tank) and a double mode (sloshing in both tanks). The validity, of the theoretical results was verified by the experiments.