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。
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.
出处
《安庆师范学院学报(自然科学版)》
2000年第4期1-5,共5页
Journal of Anqing Teachers College(Natural Science Edition)
基金
安徽省教委重点资助项目!(2 0 0 0 JL1 53)
关键词
充液航天器
液体晃动
数学模型
the spacecraft of filling liquid
the sloshing of liquid
mathematic mox