LC串联电路非共振固有振荡与数学描述  

Non-resonance natural oscillation of LC series circuit and its mathematical model

作　　者：方天申[1] 

机构地区：[1]信阳师范大学物理电子工程学院,河南信阳464000

出　　处：《安徽大学学报（自然科学版）》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)

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.

关 键 词：非共振固有振荡 负阻 二阶变系数微分方程 

分 类 号：O321[理学—一般力学与力学基础] O441[理学—力学]