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。 Vibrations of a variable cross-section cantilever with rigid mass at one end are used in tower building structures. By means of the Bessel function, the frequency equations of the vibration system are given, and some of the first three orders of frequency values ​​are given with some parameter values ​​changing. All the fundamental frequencies obtained are exactly the same as those in the existing literature and the arbitrary order frequency of the system can be calculated.