均布载荷作用下开顶扁球壳的非线性稳定问题

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On the Nonlinear Stability of a Truncated Shallow Spherical Shell under a Uniformly Distributed Load

摘要: 本文利用修正迭代法研究了具有硬中心的开顶扁球壳在均布载荷作用下的轴对称非线性稳定问题,得到了临界载荷的二次近似解析公式.

Abstract: A problem of practical interest for nonlinear axisymmetrical stability of a clamped truncated shallow spherical shell with a nondeformable rigid body under a uniformly distributed load is studied in this paper.By using modified iteration method,some important analytic results are obtained and the corresponding numerical results are given in figures.

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