Hermite差分法计算变厚度轴对称圆柱壳

Calculating the Axisymmetric Cylindrical Shells with Variable Thickness by Hermite's Difference Method

本文首次导出了四阶变步长Hermite差分法的计算格式。该法可以用来解决具有四阶变系数微分方程的一类结构计算问题。通过算例说明这个新的数值方法是很有效的。

This paper firstly derives the computing formulation of Hermite's difference method with variable step length of the fourth order. The new difference formulation contains both values and derivatives of the unknown displacement function at the nodes of a discrete system. So higher accuracy can be reached, compared with the finite difference method. This method can be used to solve the variable coefficient difference equations of the fourth order. The example given in this paper shows this new numerical method is effectual.