| 双层网格圆底扁球壳的非线性稳定问题 |
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| 引用本文： | 徐加初,李勇,王璠,刘人怀.双层网格圆底扁球壳的非线性稳定问题[J].应用数学和力学,2010,31(3). |
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| 作者姓名： | 徐加初 李勇 王璠 刘人怀 |
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| 作者单位： | 暨南大学,应用力学研究所,广州,510632 |
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| 基金项目： | 国家自然科学基金，重大工程灾害与控制教育部重点实验室资助项目，广东省高等学校科研型重点实验室资助项目 |
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| 摘 要： | 从基于等效夹层壳思想的双层网格扁壳,非线性弯曲理论的变分方程出发,利用坐标变换方法和驻值余能原理,导出双层网格圆底扁球壳,在均布压力作用下的轴对称大挠度方程和边界条件.采用修正迭代法,求得了两类边界条件下双层网格圆底扁球壳的非线性载荷-位移关系式和临界屈曲载荷的解析表达式,并讨论了几何参数对临界屈曲载荷的影响.
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| 关 键 词： | 双层网格圆底扁球壳 非线性稳定性 等效连续化 修正迭代法 驻值余能原理 |
Nonlinear Stability of a Double-Deck Reticulated Circular Shallow Spherical Shell |
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| XU Jia-chu,LI Yong,WANG Fan,LIU Ren-huai.Nonlinear Stability of a Double-Deck Reticulated Circular Shallow Spherical Shell[J].Applied Mathematics and Mechanics,2010,31(3). |
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| Authors: | XU Jia-chu LI Yong WANG Fan LIU Ren-huai |
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| Institution: | XU Jia-chu,LI Yong,WANG Fan,LIU Ren-huai(Institute of Applied Mechanics,Jinan University,Guangzhou 510632,P.R.China) |
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| Abstract: | Based on the variational equation of the nonlinear bending theory of double-deck reticulated shallow shells,equations of large deflection and boundary conditions for a double-deck reticulated circular shallow spherical shell under a uniformly distributed pressure were derived by using coordinate transformation means and stationary complementary energy principle.The characteristic relationship and critical buckling pressure for the shell with two types of boundary conditions were obtained by taking the modif... |
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| Keywords: | double-deck reticulated circular shallow spherical shell nonlinear stability equivalent continuum method modified iteration method stationary complementary energy principle |
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