A Nonlinear Analysis of Liquid Sloshing in Rigid Containers

摘要

Liquid sloshing in a moving container constitutes a broad class of problems of great practical importance with regard to the safety of transportation systems, such as tank trucks on highways, liquid tank cars on railroads, and liquid cargo in oceangoing vessels. It is speculated that the reason liquid carrying vehicles having higher accident rates than other vehicles is partially attributable to the large movement of the contained liquid cargo with attendant forces and moments developed. Since the amplitude of tank excitation is frequently large, the liquid sloshing in a tank is essentially a nonlinear phenomenon. In the present study, two nonlinear theories have been developed in which the effects of large tank motions on liquid sloshing are properly accounted for. One theory is applicable for the near resonance oscillations while the other is valid when the tank is oscillating at a frequency away from resonance.