求解非均质变截面轴扭转振动固有频率的混合状态方法

A mixed state method for solving natural frequency in torsional vibration of a nonhomogeneous shaft with variable cross section

本文给出了均质等截面轴扭转振动的混合状态方程及其解。对于非均质变截面轴，可以把它划分为很多微段，然后，利用段与段之间的连续条件推出一个传递公式，最后，利用边界条件可将固有频率求出。

This paper presented a mixed state equation and its solution for the torsional vibration of a homogeneous shaft with identical cross section.As to the nonhomogeneous shaft with variable cross section we may divide it into many mini segments and then deduce a transmission formula utilizing the continuous condition between each segment,and finally,the natural frequency can be found by the use of boundary conditions.