均布载荷作用下变厚度圆锥扁薄壳的非线性稳定性

NONLINEAR STABILITY OF THIN CONICAL SHALLOW SHELLS WITH VARIABLE THICKNESS UNDER UNIFORMLY DISTRIBUTED LOADS

本文提出含有二参数的变厚度圆锥扁薄壳的厚度函数表达式h=h_0[1+β(r/a)~γ],(γ>0),采用变厚度板壳大挠度理论的修正迭代法,对均布载荷作用下周边固定的变厚度圆锥扁薄壳的非线性稳定问题进行了求解,得到了精度较高的二次近似解析解,所获得的数值结果用图表给出。

In the present paper, we give the thickness formulation of thin conical shallow shell with variable thickness h = ,(γ>0). By using the modified iteration method for solving the problem of nonlinear stability of thin conical shallow shells with variable thickness subjected to uniformly loads under the calmped edges is solved, more accurate second order approximate analytical solution is obtained. The numerical results have been given in figures and tabular forms.