集中载荷作用下开顶扁球壳的非线性稳定问题的渐近解

Asymptotic Solutions of the Nonlinear Stability of a Truncated Shallow Spherical Shell under a Concentrated Load

本文利用奇异摄动法研究了具有刚性中心的边缘固定的开顶扁球壳在中心集中载荷作用下的非线性稳定问题,得到了几何参数κ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 a concentrated load is studied by means of the singular perturbation method. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained.