严圣平. 球顶扁锥壳非线性稳定问题的样条配点法[J]. 工程力学, 1997, 14(3): 97-103.
引用本文: 严圣平. 球顶扁锥壳非线性稳定问题的样条配点法[J]. 工程力学, 1997, 14(3): 97-103.
Yan Shengping. SPLINE COLLOCATION METHOD FOR NONLINEAR STABILITY OF SHALLOW CONICAL SHELL WITH SPHERICAL CAP[J]. Engineering Mechanics, 1997, 14(3): 97-103.
Citation: Yan Shengping. SPLINE COLLOCATION METHOD FOR NONLINEAR STABILITY OF SHALLOW CONICAL SHELL WITH SPHERICAL CAP[J]. Engineering Mechanics, 1997, 14(3): 97-103.

球顶扁锥壳非线性稳定问题的样条配点法

SPLINE COLLOCATION METHOD FOR NONLINEAR STABILITY OF SHALLOW CONICAL SHELL WITH SPHERICAL CAP

  • 摘要: 本文首先应用逐步加载法将中心部分为球面的扁锥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。

     

    Abstract: In this paper, to begin with, it is linearized with the method of consecutive loading that nonlinear differential equations of a shallow conical shell with a spherical cap under uniformly distributed loads. The linear differential equations can be solved with the method of spline collocation. Critical loads have been obtained.

     

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