摘要
由于LC元件的储能作用,当简谐激励频率fs与LC串联电路的固有频率fo成整数倍:fo=nfs(n=2,3,4,……)时,LC回路中也会产生电磁振荡.讨论了这种非共振固有振荡不同于谐波共振的原理;运用等效负阻的方法,导出了描述LC串联电路非共振固有振荡的变系数二阶微分方程;给出了模糊数学求解方法.
LC-series circuit also can produce natural oscillation when the frequency of sinusoidal driving is equal to 1/n of the natural frequency ( n =2,3,4, ...). The non-resonance natural oscillation and the harmonic resonance are two kind of different vibration . It can be described by the negative-resistance concept and the second-order change coefficient differential equation . The methods of solution is given by fuzzy.
出处
《安徽大学学报(自然科学版)》
CAS
北大核心
2006年第1期45-48,共4页
Journal of Anhui University(Natural Science Edition)
基金
河南省教育厅立项课题基金资助项目(2000130002)
河南省科技厅立项课题基金资助项目(0511014100)
关键词
非共振固有振荡
负阻
二阶变系数微分方程
nonresonant natural oscillation
negative-resistance
second-order change coefficient differential equation
作者简介
方天申(1950-),男,河南潢川人,信阳师范大学副教授.