受简谐激励载流导线的三次超谐共振

计算物理 ›› 2008, Vol. 25 ›› Issue (3): 344-348.

受简谐激励载流导线的三次超谐共振

席晓燕, 杨志安

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:2007-03-28 出版日期:2008-05-25 发布日期:2008-05-25
作者简介:席晓燕(1979-),女,河北蔚县,硕士,从事机械动力学方面研究.

3rd Superharmonic Resonance of Current-carrying Conductor Subjected to Harmonic Excitation

XI Xiaoyan, YANG Zhian

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

Received:2007-03-28 Online:2008-05-25 Published:2008-05-25

摘要/Abstract

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.

关键词: 载流导线, Duffing方程, 多尺度法, 三次超谐共振, 安培力

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.

Key words: current-carrying conductor, Duffing equation, method of multiple scales, 3rd superharmonic resonance, ampere force

中图分类号:

O321

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.

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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