利用多维模态理论分析圆柱贮箱液体非线性晃动  

ANALYZING LIQUID NONLINEAR SLOSHING IN CIRCULAR CYLINDRICAL TANK BY MULTIDIMENSIONAL MODAL THEORY

作　　者：余延生[1] 马兴瑞 王本利[1] 

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

出　　处：《力学学报》2008年第2期261-266,共6页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国防十五预研资助项目(41320020301)

摘　　要：将多维模态理论应用到求解作横向运动圆柱贮箱中液体的非线性晃动问题.首先通过压力积分变分原理推导出描述液体作非线性晃动的一般形式无穷维模态系统,然后根据Narimanov-Moiseev三阶渐近假设关系,通过选取二阶主模态和三阶次模态,将无穷维模态系统降为五维渐近模态系统.通过对这个模态系统的数值积分可以看出一些典型的非线性特征(如波峰大于波谷、节径移动等).The multidimensional modal theory is applied to solve liquid nonlinear sloshing in right circular cylindrical tank in translatory motion. The general infinite dimensional modal system describing liquid nonlinear sloshing is derived first by pressure integral variational principle. After selecting two dominating modes and three secondary modes based on the Narimanov-Moiseev third order asymptotic hypothesis, the infinite dimensional modal system is reduced to a five dimensional asymptotic modal system. The numerical integrations of this modal system reveal some typical nonlinear characteristics, such as the amplitude difference between wave peak and wave trough and the dispersion effect.

关 键 词：液体非线性晃动 圆柱贮箱 多维模态理论 模态系统 “拍”现象 

分 类 号：O353.1[理学—流体力学]