变厚度扁球壳大挠度问题的样条配点法
SPLINE COLLOCATION METHOD FOR LARGE DEFLECTIONS OF SHALLOW SPHERICAL SHELLS WITH VARIABLE THICKNESS
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摘要: 本文首先导出了变厚度扁球壳在均布压力作用下的轴对称大挠度方程,然后应用逐步加载法将此线性化,最后利用样条配点法解线性微分方程组。文中给出了特征曲线。Abstract: In this paper, to begin with, it is given that the axisymmetrical large deflection equation of shallow spherical shell with variable thickness under uniformly distributed pressure. It is linearized by the method of consecutive loading. The linear differential equations can besolved by the method of spline collocation. The characteritic curve is given in the paper.