摘要
本文以轴的弯曲变形微分方程为基础,利用有限差分法推导出阶梯轴弯曲变形三对角线性方程组,建立了计算阶梯轴挠曲线的数学模型,并通过计算机进行数值运算,为求解阶梯轴的弯曲刚度提供了快速、准确的计算方法.
Based on the differential equation of bending deflection of shaft and by means of the finite difference method,this paper derives the set of simultaneous three-diagonal linear algebraic equations for bending deflection of stepped shaft.The mathematical mode was set up for computation of deflection of stepped shaft.This method is simplier and easier to carry out than other methods.
关键词
阶梯轴
弯曲刚度
有限差分法
stepped shaft
bending rigidity
finite difference
set of simultaneous three-diagonal linear algebraic equations.
