Nonlinear coupled dynamics of liquid-filled spherical container in microgravity  

作　　者：岳宝增 

机构地区：[1]Department of Mechanics,School of Science,Beijing Institute of Technology, Beijing 100081,P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第8期1085-1092,共8页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(Nos.10572022,10772026)

摘　　要：Nonlinear coupled dynamics of a liquid-filled spherical container in microgravity are investigated. The governing equations of the low-gravity liquid sloshing in a convex axisymmetrical container subjected to lateral excitation is obtained by the variational principle and solved with a modal analysis method. The variational formulas are transformed into a frequency equation in the form of a standard eigenvalue problem by the Galerkin method, in which admissible functions for the velocity potential and the liquid flee surface displacement are determined analytically in terms of the Gaussian hypergeometric series. The coupled dynamic equations of the liquid-filled container are derived using the Lagrange＇s method and are numerically solved. The time histories of the modal solutions are obtained in numerical simulations.Nonlinear coupled dynamics of a liquid-filled spherical container in microgravity are investigated. The governing equations of the low-gravity liquid sloshing in a convex axisymmetrical container subjected to lateral excitation is obtained by the variational principle and solved with a modal analysis method. The variational formulas are transformed into a frequency equation in the form of a standard eigenvalue problem by the Galerkin method, in which admissible functions for the velocity potential and the liquid flee surface displacement are determined analytically in terms of the Gaussian hypergeometric series. The coupled dynamic equations of the liquid-filled container are derived using the Lagrange＇s method and are numerically solved. The time histories of the modal solutions are obtained in numerical simulations.

关 键 词：MICROGRAVITY liquid-filied system coupled dynamics liquid sloshing SPACECRAFT 

分 类 号：TB122[理学—工程力学]