水平横向激励圆柱贮箱中液体的非平面运动  

Liquid Nonplanar Motion in Translational Excited Circular Cylindrical Tank

作　　者：马兴瑞 余延生[2] 王本利[2] 

机构地区：[1]中国航天科技集团,北京100830 [2]哈尔滨工业大学卫星技术研究所,哈尔滨150001

出　　处：《宇航学报》2008年第4期1116-1119,共4页Journal of Astronautics

基　　金：国防十五预研资助项目(41320020301)

摘　　要：利用多维模态理论分析了受水平横向激励圆柱贮箱中液体的非线性晃动问题。首先求出描述液体非线性晃动的模态系统的稳态周期解,然后应用Floquet-Lyapunov方法研究了周期解的稳定性,从而可以从理论上找到液体发生非平面的"旋转"运动时的频率范围。最后通过对液体晃动力的计算,发现其具有明显的"旋转"特征,可用于指导工程实际。Liquid nonlinear sloshing problem in translational excited circular cylindrical tank was analyzed by multidimensional modal theory. The steady periodic solution of modal system, which describing liquid nonlinear sloshing, was derived first. Then the stability of the periodic solution was investigated by Floquet-Lyaptmov method. So the frequency region of liquid nonplanar rotary motion can be gained by theory. At last, the rotary characteristic is manifest by calculating liquid sloshing force, which can be used for directing engineering practice.

关 键 词：液体非线性晃动 多维模态理论 稳态响应 非平面运动 晃动力 

分 类 号：O353.1[理学—流体力学]