| 引用本文: | 黄炎.薄壳稳定的变分原理.[J].国防科技大学学报,1997,19(2):114-118.[点击复制] |
| Huang Yan.The Variational Principle of Stability of Thin Shells[J].Journal of National University of Defense Technology,1997,19(2):114-118[点击复制] |
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| 薄壳稳定的变分原理 |
| 黄炎 |
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(国防科技大学 航天技术系 湖南 长沙 410073)
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| 摘要: |
| 按照易曲物体的形变理论来确定薄壳的内力和内矩、变形位能以及外力的功, 根据虚位移原理求得临界载荷的能量准则, 并导出稳定问题的平衡方程和边界条件。对公式进行了合理的分析和简化。 |
| 关键词: 薄壳, 稳定, 临界载荷 |
| DOI： |
| 投稿日期：1996-03-12 |
| 基金项目: |
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| The Variational Principle of Stability of Thin Shells |
| Huang Yan |
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(Department of Astronantic Technology, NUDT, Changsha, 410073)
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| Abstract: |
| This paper gives the resultant forces and moments, strain energy and the work of the external forces on the basis of the deformation theory of flexible body. In accordance with the principle of virtual displacement, the energy criterion of critical load is obtained and the equilibrium diffenential equations and boundary conditions of stability problem are derived. The formula is discussed and simplified. |
| Keywords: thin shell, stability, critical load |
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