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固体导弹发动机药柱长期重力作用下的解析计算
引用本文:袁端才,雷勇军,蒙上阳,唐国金.固体导弹发动机药柱长期重力作用下的解析计算[J].上海航天,2007,24(1):1-5.
作者姓名:袁端才  雷勇军  蒙上阳  唐国金
作者单位:国防科学技术大学,航天与材料工程学院,湖南,长沙,410073
基金项目:国防科工委预研项目;湖南省自然科学基金
摘    要:为分析固体导弹发动机在长期重力作用下的位移、应力和应变,用应力函数推导了发动机药柱水平贮存时的弹性和粘弹性解析解,给出了相应的计算公式。根据Burgers模型表征的药柱力学特性,用弹性和粘弹性有限元分析法对发动机药柱进行了数值计算。算例分析表明,解析解与有限元解吻合较好,误差小于1%。

关 键 词:固体导弹发动机  重力  弹性  粘弹性  解析法  有限元法
文章编号:1006-1630(2007)01-0001-05
修稿时间:2006-02-26

Analytical Solution of Solid Missile Motor Grain under Long Gravity
YUAN Duan-cai,LEI Yong-jun,MENG Shang-yang,TANG Guo-jin.Analytical Solution of Solid Missile Motor Grain under Long Gravity[J].Aerospace Shanghai,2007,24(1):1-5.
Authors:YUAN Duan-cai  LEI Yong-jun  MENG Shang-yang  TANG Guo-jin
Institution:College of Aerospace and Material Engineering, NUDT, Changsha Hunan 410073, China
Abstract:For analysis the displacement,stress and strain of solid missile motor grain under longterm gravity,the elastic and viscoelastic analytic solutions for the motor grain in the horizontal storage period were derived by choosing an appropriate stress function in this paper.The equations were presented.Meanwhile,the numerical calculation was processed using elastic and viscoelastic finite analysis method according to the mechanic characteristics by Burgers model.The computation results of two examples showed that the analytic solution was accorded with the finite element method.The error between two methods was less than 1%.
Keywords:Solid missile motor  Gravity  Elasticity  Viscoelasticity  Analytic method  Finite element method
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