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充液航天器的数学模型
引用本文:程绪铎,王其申,吴甘霖,吴磊,易明芳.充液航天器的数学模型[J].安庆师范学院学报(自然科学版),2000,6(4):1-5.
作者姓名:程绪铎  王其申  吴甘霖  吴磊  易明芳
作者单位:安庆师范学院物理系!安徽安庆246011
摘    要:首先分析了充液航天器液体晃动系统的三大特点 ,进行五点合理假设 ,使系统最大限度的简化且保持它的实际特性 ;接着用变分原理建立了动力学方程 ,推导出边界条件 ,并就液体作微幅晃动对动力学方程与边界条件进行了线性化 ;最后就液体自由晃动问题对动力学方程与边界条件进行进一步的简化 ,得到了便于数值方法求解的数学模型。

关 键 词:充液航天器  液体晃动  数学模型

Dynamics Equations and Boundary Conditions of Spacecraft of Filling Liquid
CHENG Xu duo,WANG Qi shen,Wu Gan lin,WU Lei,YI Ming fang.Dynamics Equations and Boundary Conditions of Spacecraft of Filling Liquid[J].Journal of Anqing Teachers College(Natural Science Edition),2000,6(4):1-5.
Authors:CHENG Xu duo  WANG Qi shen  Wu Gan lin  WU Lei  YI Ming fang
Abstract:With the analysis of the spacecraft of filling liquid's three chief pareticularity, we make five properble hypothesis .This simplyfy the system as fas as possible and is able to keep it's true characteristic.Then we set up a dynamics equations with calculus of variations, and the boundary conditions.when the liquid make a small sloshing,we get a linear equation and boundary conditions,Fianlly ,we simplity them again and have got the mathematic model that can be solved with numerical value technigue when the liquid slosh freely.
Keywords:the spacecraft of filling liquid  the sloshing of liquid  mathematic mox
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