This paper studied the sloshing stability of a liquid-filled cylindrical tank subjected to longitudinal excitation. A pendulum model is used to obtain equivalent dynamics Mathieu equation of the liquid sloshing under the longitudinal excitation. Based on the perturbation method, the stability boundaries are then obtained with the variation of the damping, liquid height and diameter of the tank. The results show that the damping, the liquid height and the diameter of tank have an important effect on stability boundaries.
李清,余本嵩,金栋平.圆柱形贮箱液晃系统稳定性边界分析[J].动力学与控制学报,2017,15(5):467~471; Li Qing, Yu Bensong, Jin Dongping. Stability boundaries of liquid-sloshing system for a cylinarical tank[J]. Journal of Dynamics and Control,2017,15(5):467-471.