The effect of fractional damping and time-delayed feedback on the stochastic resonance of asymmetric SD oscillator

被引：22
|
作者：
Wang, QiuBao [1 ]
Wu, Hao [1 ]
Yang, YueJuan [2 ]
机构：
[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Hebei, Peoples R China
[2] Tiangong Univ, Sch Mech Engn, Tianjin 300380, Peoples R China
来源：
NONLINEAR DYNAMICS | 2022年 / 107卷 / 03期
基金：
中国国家自然科学基金;
关键词：
SD oscillator; Fractional damping; Time-delayed feedback; Stochastic resonance; SIGNAL-DETECTION; DUFFING OSCILLATOR; DEPENDENT CONTROL; SYSTEMS;
D O I：
10.1007/s11071-021-07105-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper proposes the stiffness nonlinearities and asymmetric SD (smooth and discontinuous) oscillator under time-delayed feedback control with the fractional derivative damping. With the effect of displacement and velocity feedback, the oscillator can be adjusted to the desired vibration state, and then the stochastic resonance (SR) is achieved. This article discusses the contribution of various system parameters and time-delayed feedback to SR, especially which induced by fractional order. It should be noted that this paper provides effective guidance for fault diagnosis and weak signal detection, energy harvesting, vibration isolation and vibration reduction.
引用
收藏
页码：2099 / 2114
页数：16
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