| RLC电路弹簧耦合系统的非线性振动 |
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| 引用本文： | 杨志安,崔一辉.RLC电路弹簧耦合系统的非线性振动[J].唐山学院学报,2005,18(4):90-95. |
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| 作者姓名： | 杨志安 崔一辉 |
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| 作者单位： | 1. 唐山学院,唐山市结构与振动工程重点实验室,河北唐山,063000
2. 河北理工大学,机械工程学院,河北唐山,063009 |
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| 摘 要： | 为研究RLC电路弹簧耦合系统的非线性振动,通过拉格朗日-麦克斯韦方程,建立了受到简谐激励作用具有平方非线性的RLC电路弹簧耦合系统的数学模型。应用非线性振动的多尺度法,得到一种内共振和一种双重共振的一次近似解,并进行数值分析。讨论了激励、调谐参数等对系统的影响。发现在内共振2ω≈21ω,双重共振2ω≈2ω1且Ω≈1ω两种情况下,系统具有丰富的动力学现象。
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| 关 键 词： | RLC电路 耦合 多尺度法 非线性振动 |
| 文章编号： | 1672-349X(2005)04-0090-06 |
| 收稿时间： | 03 25 2005 12:00AM |
| 修稿时间： | 2005年3月25日 |
Study on Nonlinear Oscillation of a Coupled RLC Circuit and Spring System |
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| YANG Zhi-an,CUI Yi-hui.Study on Nonlinear Oscillation of a Coupled RLC Circuit and Spring System[J].Journal of Tangshan College,2005,18(4):90-95. |
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| Authors: | YANG Zhi-an CUI Yi-hui |
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| Institution: | 1. Key Lab of Structural and Vibration Engineering of Tangshan, Tangshan College, Tangshan 0630000 Chinas;2 College of Mechanical Engineering Hebei Polytechnic University, Tangshan 063009, China |
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| Abstract: | In order to investigate nonlinear oscillation of a coupled RLC circuit and spring system,by means of Lagrange-Maxwell equation,a mathematical modal of coupled RLC circuit and spring system that has quadratic nonlinearity and subject to harmonic excitation is established.Based on the method of multiple scales for nonlinear oscillations,the first approximation solutions that meet the conditions of internal resonance ω_2≈2ω_1 and double resonances ω_2≈2ω_1,Ω≈ω_1 are obtained.Numerical analysis of the influence of excitation and detuning on the system is carried out.The coupled RLC circuit and spring system has abundant dynamical phenomena. |
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| Keywords: | RLC circuit coupled the method of multiple scales nonlinear oscillation |
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