Modeling and chaos of the liquid nonlinear sloshing in the engineering liquid-filled cavity

Abstract

The nonlinear vibration equations of solid-liquid coupled system are established. The bifurcation diagrams of the coupled system whether or not with internal resonance are get, respectively. By contrast, under the condition of internal resonance, the chaotic road of the system is changed, and a new phenomenon called “Chaos Synchronism” is found. It is illustrate that, during the engineering research, the dynamical behaviors affected by the nonlinear factors and the internal resonance are very huge. The results provide theoretical significances for the design and the control of the system and giving better explanation of the complex nonlinear dynamical behaviors.