摘要
利用多尺度法研究了三个频率激励下滞后非线性系统的组合共振 ,得到了该系统产生的组合共振解的振幅和频率。研究结果表明幅频曲线转折点出现鞍结分叉。还研究了各种系统参数对组合共振振幅的影响。
This paper investigates bifurcation and combination re sonance of the hysteretic nonlinear system with three-frequency excitation by M ulti-scale Method.The results show saddle-node bifurcation arises in the turni ng point of amplitude-frequency curve.The effects of all kinds of parameters of the system are also discussed.Finally, the numerical method is used to verify the correctness of the results.
出处
《石家庄铁道学院学报》
2001年第3期20-23,共4页
Journal of Shijiazhuang Railway Institute
关键词
多尺度法
滞后非线性系统
组合共振
分叉
多频激励
振幅
频率
Multi-scale Method hysteretic nonlinear system com bination resonance bifurcation multi-frequency excitation
