摘要
本文引用共振域的概念,将平均法推广用于研究多频激励Duffing系统的主共振,得到主共振的存在区域,并研究了系统参数对主共振的影响,本文方法可以克服多尺度法对频率调谐值σ必须是小量的限制,数值计算验证了本文结果的正确性。
This paper presents the investigation of main resonance in a multifrequency excited Duffing's oscillator by introducing the concept of resonance region and extending the averaging method. The region that main resonance occurs and the effect of system parameter on it are investigated. The restriction of detuning parameter a in multiscale method must be small may be overcomed. Part of the results are verified by digital simulation.
出处
《石家庄铁道学院学报》
1993年第2期1-6,共6页
Journal of Shijiazhuang Railway Institute
关键词
DUFFING方程
多频激励
共振
Duffing's Equations multifrequency excitation
resonance
averaging method
