Detecting the weak high-frequency character signal by vibrational resonance in the Duffing oscillator

Detecting the weak high-frequency character signal by vibrational resonance in the Duffing... The weak high-frequency character signal (HCS) cannot be detected substantially by the traditional vibrational resonance (VR) theory. In this paper, by introducing the scale transformation, the HCS in the original system can be transformed to the low-frequency character signal in the rescaled system. As we know, the two systems are equivalent and the VR can occur at low frequency in the rescaled system. Then, the VR can also occur at high frequency in the original system. We take the underdamped bistable system and the overdamped bistable system of the Duffing oscillator as examples. The method proposed in this paper is verified by both theoretical analysis and numerical simulations. The results obtained by the two ways are in good agreement. The results in this paper provide a tool to detect the weak character signal with arbitrary frequency in the engineering problems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Dynamics Springer Journals

Detecting the weak high-frequency character signal by vibrational resonance in the Duffing oscillator

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Publisher
Springer Netherlands
Copyright
Copyright © 2017 by Springer Science+Business Media B.V.
Subject
Engineering; Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering
ISSN
0924-090X
eISSN
1573-269X
D.O.I.
10.1007/s11071-017-3610-2
Publisher site
See Article on Publisher Site

Abstract

The weak high-frequency character signal (HCS) cannot be detected substantially by the traditional vibrational resonance (VR) theory. In this paper, by introducing the scale transformation, the HCS in the original system can be transformed to the low-frequency character signal in the rescaled system. As we know, the two systems are equivalent and the VR can occur at low frequency in the rescaled system. Then, the VR can also occur at high frequency in the original system. We take the underdamped bistable system and the overdamped bistable system of the Duffing oscillator as examples. The method proposed in this paper is verified by both theoretical analysis and numerical simulations. The results obtained by the two ways are in good agreement. The results in this paper provide a tool to detect the weak character signal with arbitrary frequency in the engineering problems.

Journal

Nonlinear DynamicsSpringer Journals

Published: Jun 13, 2017

References

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