摘要
通过多尺度法对Duffing系统的幅频响应特性进行研究可知,多频外激励改变了单频激励条件下系统的振动状态,使系统的主共振曲线产生了偏移;经过分析可以得知,Duffing系统主共振幅频特性曲线改变的大小与加入多频激励的幅度和频率有关。利用数值仿真对硬弹簧特性Duffing系统具体算例进行了计算,仿真结果表明,加入的多频外激励项改变了原有单频激励下系统的振动状态,对比研究了不同多频激励参数对系统振动状态改变的情况,取得了与解析分析较为一致的结论。
Using the multiple-scale method, amplitude-frequency response characteristics of a Duffing system were analyzed. Multi-frequency excitation changed the vibration behavior of the Duffing system under single-fi＇equency excitation , and the main resonance curve of the system was shifted. Through analysis, it was shown that multi-frequency excitation amplitude and frequency decide the change level numerical simulation, an example of a hard spring Duffing of the Duffing system amplitude-frequency curve. Through system was calculated, the results showed that the multi-frequency excitation changes the vibration behavior of the Duffing system under single-frequency excitation; the vibration behaviors of the system with different paramaters ＇of multi-frequency excitation are compared , and the theoretical analyses are verified with numerical simulations.
出处
《振动与冲击》
EI
CSCD
北大核心
2011年第12期19-21,68,共4页
Journal of Vibration and Shock
