非均质变截面梁的横向振动的数值解法

本文研究了一般情况下梁的弹性模量、截面面积、截面惯性矩和单位杆长质量等均为截面位置函数的弹性直梁的横向振动问题,提出了一种以差商为基础的数值解法,并讨论了常见的理想边界条件下的频率方程和振型,将算例的结果和已有的结果。进行了比较,其误差很小。本方法在微机上计算工作量小、方法简便、可靠性高。

A Numerical Solution to Free Horizontal Viberation ofNon-Uniform Variable Section Beam

The paper deals with the horizontal viberation problems of functions of section lo- cation of elastic straight beam including elasticity modulus, section area, inertia movement of section area and mass per unit length under the normal conditions. Also, this paper presents a numerical solution based on the difference quotient, and discusses frequency equation and model equation under the common realistic boundary conditions. The calculated results of some examples are compared with the existing results, whose error is very small. This method on the computer with less calculating work is simple and reliable.