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。
Abstract
Through multiple scale method, analyses characteristics of amplitude-frequency response of Duffing system. Multi-frequency excitation changes the main resonance domain of Duffing system under the single-frequency excitation , and the main resonance curve of the system shifts. Through analysis, we can see that multi-frequency excitation amplitude and frequency decide the change extent of Duffing system amplitude-frequency curve. Through numerical simulation, the example of the hard spring Duffing system is calculated, the results show that the multi-frequency excitation change the vibration state of Duffing system under single-frequency excitation. The vibration state of system under different paramaters of multi-frequency excitation are compared , and the theoretical analyses are verified with numerical simulation.
关键词
混沌 /
非线性 /
Duffing系统 /
多频
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Key words
chaos /
nonlinear /
duffing system /
multi-frequency
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杨德森;董 雷;时 洁;兰朝凤.
多频激励Duffing系统振动状态研究[J]. 振动与冲击, 2011, 30(12): 19-21,6
YANG De-sen;DONG Lei;SHI Jie;LAN Chao-feng.
Characteristics of duffing system vibration state under Multi-frequency excitation[J]. Journal of Vibration and Shock, 2011, 30(12): 19-21,6
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