电动力式传感器的数学模型

The Mathematical Model of the Electrodynamic Transducers

本文在介绍了一般化传感器结构模型基础上,给出了表征电动力式传感器全部特性的数学方程——电动力式传感器数学模型。依据理论上的结论,设计了校准电动力式传感器无阻尼及有阻尼共振频率两种电测方法。

In this paper,the mahematicatl model of the electrodyna-mic transducers,which can be used to characterize all of performances forthe electrodynamic transducers,is presented after a generalized constractivemodel is introduced.Based on the impedance equation and the theoreticalcon-clusion,the two new methods for calibrating the resonant freqency of theelectrodynamic transducers,which are called as the impedance and voltageimpacting mathods,are proposed.The impedance equation isz_(ee)=(R+R_0)+((Bl)~2C/(C^2)+{ω_(?)[1-(ω_0/ω)~2]}~2)+j(ωL-(Bl)~2ω_(?)[1-(ω_0/ω)~2])/(C^2+{ω_(?)[1-(ω_0/ω)~2]}~2)The experimental results show that the mathematical model is correct.