大几何参数的开顶扁球壳的非线性稳定问题的奇摄动解法

A Singular Perturbation Solution to the Nonlinear Stability of a Truncated Shallow Spherical Shell with the Large Geometrical Parameter

本文利用奇异摄动法计算了具有刚性中心的边缘固定的开顶扁球壳在均布载荷作用下的非线性稳定问题,得到了几何参数k值较大时的一致有效的渐近解。

In this paper, the nonlinear stability problem of a clamped truncated shallow spherical shell with a nondeformable rigid body at the center under the action of uniform normal pressure is computed by means of the singular perturbation method. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained.