变厚度夹层截顶扁锥壳的非线性稳定性分析

徐加初; 王乘; 刘人怀

变厚度夹层截顶扁锥壳的非线性稳定性分析

1.
华中理工大学力学系, 武汉430074;
2.
暨南大学应用力学研究所, 广州510632

详细信息

作者简介:
徐加初(1964- ),湖南人,博士;刘人怀(1940- ),成都人,教授,博导,中国工程院院士.

中图分类号: O343.9
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- 文章访问数: 2306
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- 被引次数: 0
出版历程
- 收稿日期: 1999-07-05
- 修回日期: 2000-05-25
- 刊出日期: 2000-09-15

Nonlinear Stability of Truncated Shallow Conical Sandwich Shell With Variable Thickness

1.
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P R China;
2.
Institute of Applied Mechanics, Jinan University, Guangzhou 510632, P R China

摘要

摘要: 对具有变厚度夹层截顶扁锥壳的非线性稳定问题进行了研究。利用变分原理导出表层为等厚度而夹心为变厚度的夹层截顶扁锥壳的非线性稳定问题的控制方程和边界条件,采用修正迭代法求得了具有双曲型变厚度夹层截顶扁锥壳的非线性稳定性问题的解析解,得到了内边缘与一刚性中心固结而外边缘为可移夹紧固支的变厚度夹层截顶扁锥壳临界屈曲载荷的解析表达式,讨论了几何参数和物理参数对壳体屈曲行为的影响。
- 变厚度夹层截顶扁锥壳 /
- 非线性稳定性 /
- 修正迭代法
Abstract: The theory of nonlinear stability for a truncated shallow conical shell with variable thickness under the action of uniform pressure was presented.The fundamental equations and boundary conditions were derived by means of calculus of variations.An analytic solution for the critical buckling pressure of the shell with a hyperbolically varying thichness is obtained by use of modified iteration method.The results of numerical calculations are presented in diagrams,which show the influence of geometrical and physical parameters on the buckling behavior.
- truncated shallow conical sandwich shells with variable thickness /
- nonlinear stability /
- modified iteration method

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参考文献(18)

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