非线性电容RLC串联电路的主共振研究

计算物理 ›› 2014, Vol. 31 ›› Issue (3): 351-356.

非线性电容RLC串联电路的主共振研究

李高峰

唐山学院唐山市结构与振动工程重点实验室, 河北唐山 063000

收稿日期:2013-05-25 修回日期:2013-09-13 出版日期:2014-05-25 发布日期:2014-05-25
作者简介:李高峰(1977-),女,硕士,讲师,主要从事非线性动力学研究,E-mail:ligaofeng0315@163.com
基金资助:
河北省自然基金(A2009000997);2013唐山市科学技术计划(1313021106)资助项目

Primary Resonance Analysis of RLC Series Circuit with Nonlinear Capacitance

LI Gaofeng

Tangshan College and Tangshan Key Laboratory of Structure and Vibration Engineering, Tangshan 063000, China

Received:2013-05-25 Revised:2013-09-13 Online:2014-05-25 Published:2014-05-25

摘要/Abstract

摘要： 研究非线性电容RLC串联电路,应用多尺度法,得到非线性振动系统主共振的一次近似解并进行数值计算,分析电阻、电感、电容和电动势对主共振幅频响应的影响.结果表明:RLC串联电路的主共振响应有跳跃和滞后现象;随着电动势的增加,主共振的振幅和共振区增大;随着电阻的增大,主共振的振幅和共振区减小.

关键词: RLC电路, 非线性电容, 多尺度法, 主共振, 非线性振动

Abstract: For RLC series circuit with nonlinear capacitance, first approximate solution of primary resonance of nonlinear vibration system is obtained with method of multiple scales for nonlinear oscillations. Primary resonance responses of RLC series circuit show jump and hysteresis. With increasing of electromotive force primary resonance amplitude and resonant region increase. With increasing of resistance primary resonance amplitude and resonant region decrease.

Key words: RLC circuit, nonlinear capacitance, multiple scales, primary resonance, nonlinear resonance

中图分类号:

O321

李高峰. 非线性电容RLC串联电路的主共振研究[J]. 计算物理, 2014, 31(3): 351-356.

LI Gaofeng. Primary Resonance Analysis of RLC Series Circuit with Nonlinear Capacitance[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 31(3): 351-356.

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