| 受简谐激励载流导线的三次超谐共振 |
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| 引用本文： | 席晓燕,杨志安.受简谐激励载流导线的三次超谐共振[J].计算物理,2008,25(3):344-348. |
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| 作者姓名： | 席晓燕 杨志安 |
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| 作者单位： | 唐山学院唐山市结构与振动工程重点实验室, 河北 唐山 063000 |
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| 摘 要： | 研究受简谐激励的二长直电流间载流导线的三次超谐共振问题,应用动力学方法建立载流导线受外部激励和安培力的Duffing方程.根据非线性振动的多尺度解法,得到系统满足三次超谐共振情况的一次近似解以及对应的定常解,并对其进行数值计算.分析直流、交流、调谐值、张力、激励等对系统的影响.
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| 关 键 词： | 载流导线 Duffing方程 多尺度法 三次超谐共振 安培力 |
| 文章编号： | 1001-246X(2008)03-0344-05 |
| 收稿时间： | 2007-03-28 |
| 修稿时间： | 2007年3月28日 |
3rd Superharmonic Resonance of Current-carrying Conductor Subjected to Harmonic Excitation |
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| XI Xiaoyan,YANG Zhian.3rd Superharmonic Resonance of Current-carrying Conductor Subjected to Harmonic Excitation[J].Chinese Journal of Computational Physics,2008,25(3):344-348. |
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| Authors: | XI Xiaoyan YANG Zhian |
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| Institution: | Key Lab of Structure and Vibration Engineering Tangshan, Tangshan College, Tangshan 063000, China |
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| Abstract: | 3rd superharmonic resonance of a current-carrying conductor subjected to harmonic excitation and ampere force is studied.Duffing equation of the system is established by means of dynamics theory.With a method of multiple scales for nonlinear vibrations,approximate solution of 3rd superharmonic resonance is obtained.Influence of director current,alternating current,detuning,tension and excitation on the system is analyzed. |
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| Keywords: | current-carrying conductor Duffing equation method of multiple scales 3rd superharmonic resonance ampere force |
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