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

“…Zeng et al (2022) proposed a double-layer quasi zero stiffness isolator, with a feedback controller, to achieve better low-frequency vibration isolation performance. However, the performance of the feedback control is limited by issues, such as parameter instability and control lag (Huang et al, 2022; Shao et al, 2021; Wang et al, 2022). In practical applications, the vibration isolation performance has been greatly restricted.…”

Section: Introductionmentioning

confidence: 99%

Active vibration hybrid control strategy based on multi-DOFs piezoelectric platform

Pu,

Fu,

Wang

et al. 2023

Journal of Intelligent Material Systems and Structures

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With the increasing requirements for vibration isolation in multiple degrees of freedom (multi-DOFs), active control strategy is becoming more meaningful. However, the vibration isolation performance is limited by the time delay of feedback control, and cannot meet higher requirements. Therefore, this paper proposes a multi-DOFs active vibration hybrid control (AVHC) strategy based on a piezoelectric platform. The AVHC integrates the adaptive feedforward control based on the modified recursive least squares (MRLS) algorithm, and the feedback control based on the integral force feedback (IFF) algorithm. To achieve advanced response, the ground-based vibration signal is offset by the MRLS algorithm. To further reduce the coupling of multi-DOFs, the feedback and feedforward coordinates are fused through the matrix transformation, and the signals are linearly superimposed by the AVHC. The experimental results show that the AVHC can further reduce the resonance peaks of the three translational directions ( X/ Y/ Z) compared with the feedback (FB) control. The resonance peaks are reduced from 14.6 dB (FB) to 3.11 dB (AVHC), from 14.56 dB (FB) to 5.14 dB (AVHC), and from 12.44 dB (FB) to 3.78 dB (AVHC) in X/ Y/ Z directions, respectively. The attenuation rates are improved by 73.36%, 66.19%, and 63.10% in X/ Y/ Z directions, respectively.

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“…Zhang and Cao [29] recently investigated recent advances for an archetypal SD oscillator. The stochastic resonance for a time-delay fractional damped SD oscillator has also been inspected by Wang et al [9].…”

mentioning

confidence: 96%

A fractionally time-delayed SD-Van der Pol oscillator with a non-perturbative approach

El‐Dib

Elgazery

Alyousef

2023

EPL

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The primary target of the present article is to use a fast and efficient technique to obtain an analytical solution for a Duffing-Van der Pol-SD (D-VDP-SD) oscillator with a time delay. Depending on the smoothness parameter, this kind of vibration behaves in both discontinuous and smooth dynamical systems. This novel technique is presented for transmission from a nonlinear delay fractional oscillator to a linear classical oscillator with ordinary derivatives. The transformation into an equivalent oscillator is described in detail. Based on the comparison, the convergence of the numerical and analytical solutions appears satisfactory, which is an indicator of the accuracy of the solutions produced by the suggested technique.

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

Cited by 17 publications

References 69 publications

Stochastic bifurcations of nonlinear vibroimpact system with time delay and fractional derivative excited by Gaussian white noise

Stochastic bifurcations of nonlinear vibroimpact system with time delay and fractional derivative excited by Gaussian white noise

Active vibration hybrid control strategy based on multi-DOFs piezoelectric platform

A fractionally time-delayed SD-Van der Pol oscillator with a non-perturbative approach

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