摘要
本文利用共振域的概念,研究了单自由度Duffing系统在多频激励下的非主共振,引入虚激振力的概念,探讨了各阶共振产生的机理,并得到了组合共振、亚组合共振、亚谐及超谐共振的幅频关系及发生条件,得到了亚组合共振和亚谐共振的临界阻尼,并研究了系统参数对各阶共振的影响。
The non-main resonance in a multi-frequency excited Duffing's oscillator is investigated in this paper with the concept of resonance region. The mechanism for various resonance to occure is studied by introducing the idea of 'virtual exciting force'. The amplitude-frequency relation and occuring conditions for various resonances are obtained. The critical damping of sub-combinational and subharmonic resonance and the effect of system parameters on various resonances are investigated.
出处
《石家庄铁道学院学报》
1993年第3期1-8,共8页
Journal of Shijiazhuang Railway Institute
关键词
杜分方程
组合共振
多频激励
Duffing's equation
combinational resonance
multi-frequency excitation
