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在边缘线布载荷作用下开顶扁球壳的非线性稳定问题的奇摄动解
引用本文:康盛亮. 在边缘线布载荷作用下开顶扁球壳的非线性稳定问题的奇摄动解[J]. 应用数学和力学, 1993, 14(10): 883-894
作者姓名:康盛亮
作者单位:上海同济大学
摘    要:本文利用奇异摄动方法计算了在内边缘线布载荷作用下无刚性中心的开顶扁球壳的非线性稳定问题,得到了几何参数k值较大时本问题的一致有效的渐近解.

关 键 词:圆球壳   非线性稳定性   奇摄动解
收稿时间:1992-09-09

Singular Perturbation Solutions of the Nonlinear Stability of a Truncated Shallow Spherical Shell under Linear Distributed Loads along the Interior Edge
Kang Sheng-liang. Singular Perturbation Solutions of the Nonlinear Stability of a Truncated Shallow Spherical Shell under Linear Distributed Loads along the Interior Edge[J]. Applied Mathematics and Mechanics, 1993, 14(10): 883-894
Authors:Kang Sheng-liang
Affiliation:Tongji University, Shanghai
Abstract:Using a singular pertubation method, the aonlinr-ar stability of a truncated shallow spherical shell without a nondoformablc rigid body at the center under linear distributed loads along the interior fdge is investigated in this pape.r. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained.
Keywords:shallow shell   nonlinear-stability   singular perturbation solutions
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