摘要
通过分析波尔共振仪的动力学方程和RLC串联电路的基尔霍夫电压公式,同时借鉴物理实验中模拟法的思想,建立了力学量和电学量相关的对应关系,从而应用电路分析方法研究振动问题。实验基于开源的电路仿真平台,针对不同振动类型搭建仿真电路,通过调节电路元件参数模拟不同的振动情况,并测量电路信号以获取振动信息。根据仿真结果和理论分析,讨论了阻尼振动、位移共振和速度共振、非正弦形式的周期性驱动力等情况。结果表明,用电路仿真方法可以模拟机械振动问题,同时为波尔共振实验提供了有益补充。
This article analyzed the equation of forced vibration and the Kirchhoff’s voltage law of RLC series circuit,and established the corresponding relationship between mechanical and electrical quantities,in order to solve the vibration problem by circuit analysis method.Based on the mature circuit simulation platform,simulation circuits were built for different vibration types,and different vibration conditions were simulated by adjusting the parameters of circuit components,and the vibration information was obtained by measuring the circuit signals.According to the simulation results,damped vibrations,resonance results and non-sinusoidal periodic driving force were discussed,The results showed that the use of circuit simulation method to study vibration problems can be used as a supplement to the content of Bohr resonance experiment.
作者
冯伟
赵嵩卿
马秀花
FENG Wei;ZHAO Songqin;MA Xiuhua(China University of Petroleum-Beijing at Karamay,Karamay 834000,China)
出处
《大学物理实验》
2024年第6期123-127,共5页
Physical Experiment of College
基金
新疆维吾尔自治区自然科学基金项目(2024D01A161)
中国石油大学(北京)克拉玛依校区教改项目(JG2023037)。
关键词
波尔共振仪
受迫振动
电路仿真
幅频特性
相频特性
Pohl resonance instrument
forced vibration
circuit simulation
amplitude-frequency characteristics
phase-frequency characteristics
