| LC串联电路非共振固有振荡与数学描述 |
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| 引用本文： | 方天申.LC串联电路非共振固有振荡与数学描述[J].安徽大学学报(自然科学版),2006,30(1):45-48. |
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| 作者姓名： | 方天申 |
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| 作者单位： | 信阳师范大学,物理电子工程学院,河南,信阳,464000 |
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| 基金项目： | 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） |
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| 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.
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| 关 键 词： | 非共振固有振荡 负阻 二阶变系数微分方程 |
| 文章编号： | 1000-2162（2006）01-0045-04 |
| 收稿时间： | 2005-06-03 |
| 修稿时间： | 2005-06-03 |
Non-resonance natural oscillation of LC series circuit and its mathematical model |
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| FANG Tian-shen.Non-resonance natural oscillation of LC series circuit and its mathematical model[J].Journal of Anhui University(Natural Sciences),2006,30(1):45-48. |
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| Authors: | FANG Tian-shen |
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| Institution: | School of Physics and Electronic Technology,Xinyang Normal University,Xinyang 464000,China |
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| 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. |
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| Keywords: | nonresonant natural oscillation negative-resistance second-order change coefficient differential equation |
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