Characteristics of duffing system vibration state under Multi-frequency excitation

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (12) : 19-21,6.

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Characteristics of duffing system vibration state under Multi-frequency excitation

YANG De-sen，DONG Lei，SHI Jie，LAN Chao-feng

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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.

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chaos / nonlinear / duffing system / multi-frequency

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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