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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
【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.
【Abstract】 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;
【Key words】 nonresonant natural oscillation; negative-resistance; second-order change coefficient differential equation;
【Key words】 nonresonant natural oscillation; negative-resistance; second-order change coefficient differential equation;
【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)
- 【文献出处】 安徽大学学报(自然科学版) ,Journal of Anhui University(Natural Sciences) , 编辑部邮箱 ,2006年01期
- 【分类号】TM13
- 【被引频次】2
- 【下载频次】191