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.
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.
出处
《计算物理》
EI
CSCD
北大核心
2008年第3期344-348,共5页
Chinese Journal of Computational Physics
关键词
载流导线
DUFFING方程
多尺度法
三次超谐共振
安培力
current- carrying conductor
Duffing equation
method of multiple scales
3rd superharmonic resonance
ampere force
