摘要
本文研究了纵向激励下液晃系统的稳定性边界.首先利用等效摆模型获得纵向激励下液体晃动的等效动力学Mathieu方程,然后利用摄动法得到随阻尼、储液高度及贮箱直径变化时的液晃系统的稳定区域.结果表明,液体晃动阻尼、储液量及贮箱尺寸对晃动稳定性具有显著影响.
This paper studied the sloshing stability of a liquid-filled cylindrical tank subjected to longitudinal ex- citation. 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.
作者
李清
余本嵩
金栋平
Li Qing Yu Bensong Jin Dongping(State Key Laboratory of Mechanics and Control of Mechanical Structures, University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, China)
出处
《动力学与控制学报》
2017年第5期467-471,共5页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11672125)
江苏高校优势学科建设工程资助项目~~
