| 固体火箭发动机药柱不可压和近似不可压三维分析 |
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| 引用本文： | 田四朋,雷勇军,李道奎,唐国金.固体火箭发动机药柱不可压和近似不可压三维分析[J].固体火箭技术,2006,29(6):395-399. |
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| 作者姓名： | 田四朋 雷勇军 李道奎 唐国金 |
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| 作者单位： | 国防科技大学航天与材料工程学院,长沙,410073 |
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| 基金项目： | “十一五”装备预先研究资助项目(513270301)，高等学校博士学科点专项科研基金(20069998002)，国防科技大学科研计划项目(JC06-01-01) |
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| 摘 要： | 基于不可压和近似不可压粘弹性有限元法,对固体火箭发动机药柱进行了三维分析。首先从Herrm ann泛函出发并结合对应原理,导出了适用于不可压和近似不可压粘弹性材料的本构关系,然后根据虚功原理,建立了三维问题的粘弹性增量有限元列式,最后对弹性约束的圆柱形中孔药柱进行了不可压和近似不可压分析。结果表明,该方法可用于泊松比接近甚至等于0.5的粘弹性问题计算,尤其适用于固体推进剂药柱的结构分析。
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| 关 键 词： | 固体火箭发动机 药柱 粘弹性 不可压 三维分析 |
| 文章编号： | 1006-2793（2006）06-0395-05 |
| 收稿时间： | 2006-03-02 |
| 修稿时间： | 2006-03-31 |
Three-dimension incompressible and nearly incompressible analysis of solid rocket motor grain |
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| TIAN Si-peng,LEI Yong-jun,LI Dao-kui,TANG Guo-jin.Three-dimension incompressible and nearly incompressible analysis of solid rocket motor grain[J].Journal of Solid Rocket Technology,2006,29(6):395-399. |
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| Authors: | TIAN Si-peng LEI Yong-jun LI Dao-kui TANG Guo-jin |
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| Institution: | College of Aerospace and Material Engineering, National Univ. of Defense Technology, Changsha 410073, China |
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| Abstract: | Three-dimension analysis of solid rocket motor grain was presented based on incompressible and nearly incompressible viscoelastic finite element method.Firstly the constitutive relation of incompressible and nearly incompressible viscoelastic material was derived based on Herrmann functional and correspondent principle.Secondly three-dimension finite element formulations of viscoelastic increment were obtained in terms of the virtual work principle.Finally incompressible and nearly incompressible analysis on a hollow cylindrical grain with elastic restraint were presented.The results show that this method is applicable for viscoelastic problems which Poisson's ratio is close or equal to 0.5,especially suitable for the structural analysis of solid propellant grain. |
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| Keywords: | solid rocket motor grain viscoelasticity incompressible three-dimension analysis |
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