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Optimum Vibrational Resonance in a Time-Delay Bistable System Driven by Biharmonic Signals

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Abstract:

The optimum vibrational resonance in a time-delay bistable system driven by bihiarmonic signals is discussed in this paper. The theoretically expression for the response amplitude gain of low frequency signal in the time-delay bistable system is deduced, and the effects of time delay parameter on the optimum vibrational resonance peak and the required amplitude of high frequency signal are investigated. It is shown that the optimum vibrational resonance can be achieved by adjusting the high frequency signal amplitude and time delay parameter jointly. Meanwhile, the optimum vibrational resonance appeared periodically with time delay parameter and the period is equal to the period of low-frequency signal. The amplitude of high-frequency signal required for the optimum vibrational resonance can be fixed or varied with different time delay parameter depending on the ratio of the frequencies between biharmonic signals.

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Periodical:

Applied Mechanics and Materials (Volumes 651-653)

Pages:

2172-2176

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.651-653.2172

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Online since:

September 2014

Authors:

Yun Liang Meng, Chang Xing Pei, Dong Wu Li

Keywords:

Biharmonic Signals, Bistable System, Optimum Vibrational Resonance, Time Delay Feedback

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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