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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
引用本文:康盛亮.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[J].同济大学学报(自然科学版),1990,18(4):477-486.
作者姓名:康盛亮
作者单位:同济大学应用数学系
摘    要:

关 键 词:扁球壳  非线性  稳定性  奇摄动解法

A Singular Perturbation Solution to the Nonlinear Stability of a Truncated Shallow Spherical Shell with the Large Geometrical Parameter
Kang Shengliang.A Singular Perturbation Solution to the Nonlinear Stability of a Truncated Shallow Spherical Shell with the Large Geometrical Parameter[J].Journal of Tongji University(Natural Science),1990,18(4):477-486.
Authors:Kang Shengliang
Abstract: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.
Keywords:Spherical shell  Non-linear-Stability  Asymptotic solutions  
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