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均匀外压下非完善球壳的非线性稳定分析
引用本文:李天匀,郑衍双.均匀外压下非完善球壳的非线性稳定分析[J].华中科技大学学报(自然科学版),1997(11).
作者姓名:李天匀  郑衍双
作者单位:华中理工大学交通科学与工程学院
摘    要:以扁球壳代替球壳缺陷部分,把其余部分的作用简化为弹性约束.采用板壳大挠度理论的修正迭代法,对均布载荷作用下复杂边界扁球壳的非线性稳定问题进行求解,得到了二次近似的解析式.通过与试验结果进行比较,表明方法是行之有效的.

关 键 词:扁球壳  稳定性  临界载荷  修正迭代法

Nonlinear Stability Analysis of Spherical Shell with Imperfection under Uniform External Pressure
Li Tianyun College of Communication Sci. & Eng.,HUST,Wuhan ,China. Zheng Yanshuang.Nonlinear Stability Analysis of Spherical Shell with Imperfection under Uniform External Pressure[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1997(11).
Authors:Li Tianyun College of Communication Sci & Eng  HUST  Wuhan  China Zheng Yanshuang
Institution:Li Tianyun College of Communication Sci. & Eng.,HUST,Wuhan 430074,China. Zheng Yanshuang
Abstract:The imperfect part of a spherical shell is taken as a shallow spherical shell and the function of the remainder is simplified as the elastic constraints. The modified iteration method of large deformation of shells is used to solve the problem of nonlinear stability of the shallow spherical shells with complex boundaries under uniform loads, and a second order approximate analytical solution is obtained. It is shown that the method presented is feasible when comparing the obtained numerical results with the experimental ones.
Keywords:shallow spherical shell  stability  critical pressure  modified iteration method
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