| 适用于固体推进剂药柱应力分析的一种粘弹性有限元法 |
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| 引用本文： | 王元有,王新华.适用于固体推进剂药柱应力分析的一种粘弹性有限元法[J].宇航学报,1994,15(1):48-54. |
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| 作者姓名： | 王元有 王新华 |
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| 作者单位： | 北京理工大学飞行器工程系 |
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| 摘 要： | 本文根据Ｈｅｒｒｍａｎｎ变分原理导出一种适用于不可压缩和近似不可压粘弹性的新的本构关系和相应的有限元公式，开发了用于平面问题分析的计算机程序ＶＦＡＰＩＮＰ。计算结果表明，本方法和程序可用于所有泊松比的粘弹性问题的计算，尤其适用于推进剂药柱的应力分析。
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| 关 键 词： | 粘弹性 有限元法 固体推进剂 药柱 |
A FINITE ELEMENT METHOD FOR VISCOELASTIC ANALYSIS OF SOLID PROPELLANT GRAINS |
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| Wang Yuanyou,Wang Xinxua,Hu Yafei.A FINITE ELEMENT METHOD FOR VISCOELASTIC ANALYSIS OF SOLID PROPELLANT GRAINS[J].Journal of Astronautics,1994,15(1):48-54. |
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| Authors: | Wang Yuanyou Wang Xinxua Hu Yafei |
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| Institution: | Beijing Institute of Technology |
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| Abstract: | In this paper a new viscoelastic constitutive relation based on Herrmann variational theorem is derived,valid for incompressible and nearly-incompressible materials.The finite element formulation is presented here and a computer program VFAPINP is developed which can be used to stress analysis of plane problems.All the results show that the approach and the computer program are valid for stress analysis of viscoelastic materials with all admissible values of Poisson's ratao and particularly for stress analysis of solid propellant grains. |
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| Keywords: | Viscoelasticity Finite element method stress analysis of Propellant grains |
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