大几何参数的变厚度开顶扁薄壳的非线性屈曲问题的奇摄动解

The Singular Perturbation Solutions for Nonlinear Buckling of a Truncated thin Shallow Shell of Variable Thickness with the Large Geometrical Parameter

该文利用修正多重尺度法研究了大几何参数的变厚度的具有刚性中心的开顶扁球壳，在均布载荷作用下的非线性稳定问题．求得了扁壳几何参数k值较大时，本问题的一致有效的渐进解，并进行了余项误差估计．

Using Modified method of mutiple scales,the nonlinear stability of a truncated shallow spherical shell of variable thickness with a nondeformable rigid body at the center under uniformly distributed loads is investigated in this paper. When the geometrical parameter k is large,the uniformly valid asymptotic solutions of this problem are obtained and the remainder terms are estimated.