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

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Singular Perturbation Solutions of the Nonlinear Stability of a Truncated Shallow Spherical Shell under Linear Distributed Loads along the Interior Edge

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.
- 圆球壳 /
- 非线性稳定性 /
- 奇摄动解
Abstract: Using a singular perturbation method, the nonlinear stability of a truncated shallow, spherical shell without a nondeformable rigid body at the center under linear distributed loads along the interior edge is investigated in this paper. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained.
- shallow shell /
- nonlinear-stability /
- singular perturbation solutions

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