双层网格圆底扁球壳的非线性稳定问题  

Nonlinear Stability of a Double-Deck Reticulated Circular Shallow Spherical Shell

作　　者：徐加初[1] 李勇[1] 王璠[1] 刘人怀[1] 

机构地区：[1]暨南大学应用力学研究所,广州510632

出　　处：《应用数学和力学》2010年第3期261-272,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19972024);"重大工程灾害与控制"教育部重点实验室资助项目;"工程结构故障诊断"广东省高等学校科研型重点实验室资助项目

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.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 doubledeck reticulated circular shallow spherical shell under a uniformly distributed pressure were de- rived 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 modified iteration method. The effects of geometrical parameters on the buckling behavior were also discussed.

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 

分 类 号：O343.9[理学—固体力学]