| 引用本文: | 田四朋,雷勇军,唐国金.粘弹性谱随机有限元.[J].国防科技大学学报,2006,28(6):1-5.[点击复制] |
| TIAN Sipeng,LEI Yongjun,TANG Guojin.Viscoelastic Spectral Stochastic Finite Element[J].Journal of National University of Defense Technology,2006,28(6):1-5[点击复制] |
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| 粘弹性谱随机有限元 |
| 田四朋, 雷勇军, 唐国金 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 发展了一种粘弹性谱随机有限元法(VSSFEM)，并将其用于固体火箭发动机装药结构随机分析。基于不可压或近似不可压粘弹性增量有限元方法和正交展开理论，考虑固体推进剂泊松比的随机性，推导了粘弹性谱随机有限元列式，最后对弹性约束的圆柱形中孔药柱进行了随机分析。算例分析表明该方法能够正确有效地进行粘弹性体随机分析。 |
| 关键词: 不可压 固体推进剂 正交展开 随机有限元 |
| DOI： |
| 投稿日期：2006-07-08 |
| 基金项目:教育部高等学校博士学科点专项科研基金资助项目(20069998002)；国家部委预研资助项目(513270301)；国防科技大学基础研究计划项目(JC06-01-01) |
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| Viscoelastic Spectral Stochastic Finite Element |
| TIAN Sipeng, LEI Yongjun, TANG Guojin |
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(College of Aerospace and Materials Engineering， National Univ. of Defense Technology，ChangSha 410073，China)
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| Abstract: |
| A kind of viscoelastic spectral stochastic finite element method (VSSFEM) was developed and stochastic analysis of solid rocket motor grains was presented. Considering the randomness of solid propellant Poisson's ratio, viscoelastic spectral stochastic finite element formulations were derived from the incompressible or nearly incompressible viscoelastic incremental finite element method and orthogonal expansion theory. Finally, stochastic analysis of a hollow cylindrical grain with elastic restraint was presented. Analysis of examples indicates that this method is efficient and effective for stochastic analysis of viscoelastic body. |
| Keywords: incompressible solid propellant orthogonal expansion stochastic finite element |
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