摘要
本文提出含有二参数的变厚度圆球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球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折解,所获得的数值结果用图表给出。
Firstly, this paper suggests a formula of the variable thickness of a thin spherical shallow shell as h=h_0(1+β(r/a)~γ), (γ>0). Then, this paper gives a solution of the nonlinear buckling critical load of a thin spherical shallow shell with variable thickness as above given and with clamped edges under uniformly distributed loading, obtaining the accurate second order approximate analytical solution. Numerical results obtained are given in figures and in tables.
出处
《上海力学》
CSCD
1991年第2期86-94,共9页
Chinese Quarterly Mechanics