摘要
首先利用多尺度法分析了Duffing-van der Pol系统在多频激励下的主共振响应,得到了该系统的一次近似解。然后利用数值方法研究了系统参数对近似解幅频曲线的影响。最后,运用奇异性理论得到了系统的全部分岔响应曲线,为这一类系统的动态分析与设计提供了理论依据。
In this paper, the main resonance of nonlinear Duffing- van der Pol system to multi-frepuency excitations is investigated, and the Multi - Scale Method is used to obtain the first - order approximate solution. Then the effects of system parameters on the frequency - amplitude curve are studied by means of numerical technology basis for Finally, all the bifurcation curves are obtained using the singularity theory, which provides theoretical dynamic analysis and design of this kind of systems.
出处
《石家庄铁道学院学报》
2006年第1期62-66,共5页
Journal of Shijiazhuang Railway Institute
