计算挠曲线的近似方法

An Approximate Method for Calculating Elastic curves

在复杂载荷或变化抗弯刚度的情况下,直梁的挠曲线方程是分段的,这给使用带来了不便。本文首先讨论了利用适用于整个梁的近似挠曲线方程来代替分段方程的级数方法(三角级数和幂级数),并给出了例子来说明方法的应用。接着介绍了适用于电子计算机的挠曲线的数值计算方法,这种方法可以应用到工程力学的许多专题中去。

In the situation of complex loading or varying flexural rigids,the equation of elastic curve of a beam is in segments,thus,a lot of difficulties are brought into calculation. This paper first discusses the series method which replaces segmental equation with the equation of approximate elastic curve applying to the whole beam,mean- while,examples are given to illustrate the applications of this method.Then the numerical method of calculating the elastic curve with electronic computer is recommended,which can be used in many areas of applied mechanics.