针对悬臂梁振动系统特性研究要求，提出了一种基于激光自混合干涉效应的极值点模型测量方法。该测量方法相对传统测量方法具有简单、实效、成本低廉等优点。从Lang和Kobayashi建立的速率方程出发推导了极值点研究模型并利用蒙特卡罗随机模拟方法对半周期极值点公式进行简化修正，获得了自由振动情况下悬臂梁振动固有频率阶数为第10阶，振幅特征参量为A10=B10=5.4601×10-13。

For the requirements of cantilever vibration characteristics, a vibration system extra points measurement method based on self-mixing interference is purposed. This method is relatively simple, effective, and low cost compared to traditional measurement methods. Starting from the Lang-Kobayashi rate equation, vibration system extra points model is deduced and Monte Carlo random simulation method is used to simplify and correct the half-cycle extreme points formulcs. The order of the cantilever vibration natural frequency is 10 and amplitudes of the characteristic parameters are A10=B10=5.4601×10-13 in the case of free vibration.