| 电感非线性RLC电路弹簧耦合系统3次超谐共振研究 |
| |
| 引用本文： | 杨志安, 崔一辉,. 电感非线性RLC电路弹簧耦合系统3次超谐共振研究[J]. 电子器件, 2008, 31(3): 988-991 |
| |
| 作者姓名： | 杨志安 崔一辉 |
| |
| 作者单位： | 唐山学院唐山市结构与振动工程重点实验室,唐山,063000;北京航空航天大学机器人研究所,北京,100083 |
| |
| 摘 要： | 研究电感非线性RLC电路弹簧耦合系统的非线性振动,应用拉格朗日一麦克斯韦方程,建立受简谐激励的具有电感非线性RLC电路弹簧耦合系统的数学模型.根据非线性振动的多尺度法,得到系统满足3次超谐共振条件的一次近似解以及对应的定常解.对其进行数值计算,分析系统参数对幅频响应曲线的影响.当系统3次超谐共振调谐值等于零时,幅频响应曲线的振幅最大.增大电压、极板面积和非线性电感系数,幅频响应曲线的振幅和共振区增大.增大极板间距、电阻和线性电感系数,幅频响应曲线的振幅和共振区减小.系统的固有频率随极板间距的增大而增大,随极板面积和线性电感系数的增大而减小.
|
| 关 键 词： | RLC电路 耦合 多尺度法 电感非线性 3次超谐共振 |
| 文章编号： | 1005-9490(2008)03-0988-04 |
| 修稿时间： | 2007-05-18 |
Study on 3RD Superharmonic Resonance of Coupled RLC Circuit and Spring System Considering Inductance Nonlinearity |
| |
| YANG Zhi-an,CUI Yi-hui. Study on 3RD Superharmonic Resonance of Coupled RLC Circuit and Spring System Considering Inductance Nonlinearity[J]. Journal of Electron Devices, 2008, 31(3): 988-991 |
| |
| Authors: | YANG Zhi-an CUI Yi-hui |
| |
| Affiliation: | YANG Zhi-an1,CUI Yi-hui21.Key Laboratory of Structure , Vibration Engineering of Tangshan , Tangshan College,Tangshan 063000,China,2.Robotics Institute,Beijing University of Aeronautics , Astronautics,Beijing 100083 |
| |
| Abstract: | In order to study on nonlinear vibration of coupled RLC circuit and spring system, a mathematical model of coupled RLC circuit and spring system considering inductance nonlinearity and harmonic excitation is established combined with Lagrange-Maxwell equation. Based on multiple scales method for nonlinear vibration analysis, the first approximation solutions and corresponding to steady state solutions of the 3 superharmonic resonance system are obtained. Numerical analysis results show that when detuning of... |
| |
| Keywords: | RLC circuit coupling the method of multiple scales inductance nonlinearity 3rd superharmonic resonance |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《电子器件》浏览原始摘要信息 |
|
点击此处可从《电子器件》下载免费的PDF全文 |
|
