均布载荷作用下变厚度开顶扁球壳的非线性稳定问题

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Nonlinear Stability of Truncated Shallow Spherical Shell with Variable Thickness under Uniformly Distributed Load

摘要: 本文首先应用逐步加载法将具有硬中心的开顶扁球壳在均布载荷作用下的非线性微分方程组线性化,然后利用样条配点法解线性微分方程组,得到了临界载荷的数值．
- 变厚度开顶扁球壳 /
- 非线性稳定性 /
- 逐步加载法 /
- 样条配点法
Abstract: In this paper,to begin with.the nonlinear differential equations of a truncaled shallow spherical shell with variable thickness under uniformal distributed load are linearized by step-by-step loading method.The linear differential equations can be solved by spline collocanon method.Critical loads have been obtained accordingly.
- truncated shallow spherical shell with variable thickness /
- nonlinear stability /
- step-by-step loading method /
- spline collocation method

[1]	李岳生、齐东旭,《样条函数方法》,科学出版社(1979).
[2]	A.C.沃耳密尔著,卢文达译,《柔韧板与柔韧壳》,科学出版社(1959).