摘要
本文通过两自由度密频近线性系统1/2亚谐共振的分析,揭示出由于密频内共振的作用,发生1/2亚谐共振时,其自由振动项幅度受到有效的抑制。通过定常响应(非平凡解)的稳定性分析,可以看出定常响应的参数稳定区域受密频内共振的影响而呈现较复杂的情况。
in this paper,by the analy sis of 1/2 subharmonic resonance in a two-degree-offreedom system with closely spaced natural frequencies,we realize that when 1/2 subharmonic resonance happens,the amplitude of the free vibration term will be greatlly restricted.Through the stability analysis,we also point out that the parameters stability region for the steady-state response has very complicated relation ship with cubic nonlinear restore force parameterα.
出处
《振动.测试与诊断》
EI
CSCD
1995年第1期1-9,共9页
Journal of Vibration,Measurement & Diagnosis
基金
国家自然科学基金
关键词
共振
1/2亚谐共振
密顿内共振
非线性振动
nonlinear vibration.internal resonance due to closely spaced natural frequencies,1/2 subharmonic resonance