一端带刚性质量的变截面梁的振动问题

Vibrations of A Beam of Varying Cross Section with End Mass

一端带有刚性质量的变截面悬臂梁的振动问题,应用于塔式建筑结构。借助于Bessel函数,给出了振动系统的频率方程,并在一些参数值变化的情况下,给出了若干组前三阶频率值。得到的所有基频与已有文献中的结果完全一致,并能算出系统的任意阶频率。

The vibrations of beam with a mass attached to its end is discussed. This model applied to civil engineering towers. By using Bessel functions, the frequancy equation is obtained. The frequancy rallies of the first mode, 2nd mode and 3rd mode for many cases are calculated. The fundamental frequancy calculated by present paper are agreement with other approximate method, but present method can calculate the frequancy of any orders.