夹层扁球壳的非线性稳定性

NONLINEAR STABILITY OF SHALLOW SPHERICAL SANDWICH SHELLS

基于Reissner假设和变分原理 ,给出夹层扁球壳在均布压力作用下的大挠度方程 ,采用修正迭代法求得了夹层扁球壳非线性稳定问题的解析解 ,得到两类边界条件下临界屈曲载荷的表达式 。

Based on Reissners Hypothesis and variational principle, the equations of large deflection for a shallow spherical sandwich shell are derived. Analytic solution of the critical buckling pressure for the shells with two types of boundary conditions is obtained by use of modified iteration method. The effects of geometrical and physical parameters on the buckling behavior is also discussed.