基于传递函数的三线摆法转动惯量测量分析

Three-pendulum Method Based on Transfer Function for the Measurement and Analysis of Inertia Moment

在传统三线摆方法的基础上,引入传递函数的方法,推导出基于传递函数的三线摆系统转动惯量表达式,考虑了空气阻力和其它阻尼情况对三线摆系统的影响,同时可一定程度增大系统摆动角度,克服了三线摆系统小角度摆动周期测量误差大的缺点。应用最小条件系统识别法,可最终求得被测物体转动惯量。

Based on the traditional three-pendulum method,we introduced the transfer function method and derived the expression of inertia moment of the three-wire pendulum system,which take into account air resistance and other damping effects of three-wire pendulum.This method increases swing angle of the system,and overcomes the drawback of big measurement error of swinging cycle because of the three-wire pendulum small-angle swinging.Applying the minimum zone condition system recognition theory to the system,we obtained the inertia moment of the measured object.