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research-article

On the weak signal amplification by twice sampling vibrational resonance method in fractional Duffing oscillators

[+] Author and Article Information
Jinrong Yang

School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China
yangjinrong@cumt.edu.cn

Chengjin Wu

School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China
chengjinwu@cumt.edu.cn

Jianhua Yang

School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China; Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA; Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, China University of Mining and Technology, Xuzhou 221116, China
jianhuayang@cumt.edu.cn

Houguang Liu

School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China
liuhg@cumt.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4038778 History: Received September 20, 2017; Revised December 10, 2017

Abstract

In our former work [J. Comput. Nonlin. Dyn.,\textbf{12}(5) p.051011], we put forward the re-scaled vibrational resonance (VR) method in fractional Duffing oscillators to amplify a weak signal with arbitrary high frequency. In the present work, we propose another method named as twice sampling VR to achieve the same goal. Although physical processes of two discussed methods are different, the results obtained by them are identical completely. Besides the two external signals excitation case, the validity of the new proposed method are also verified in the system that excited by an amplitude modulated signal. Further, the dynamics of the system reveals that the resonance performance, i.e., the strength and the pattern, depends on the fractional-order closely.

Copyright (c) 2017 by ASME
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