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·
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.
出处
《应用数学和力学》
EI
CSCD
北大核心
2000年第9期881-889,共9页
Applied Mathematics and Mechanics
关键词
变厚度夹层截顶扁锥壳
非线性稳定性
修正迭代法
truncated shallow conical sandwich shells with variable thickness
nonlinear stability
modified iteration method
