Back to Search Start Over

Resonance analysis and time-delay feedback controllability for a fractional horizontal nonlinear roller system.

Authors :
Zhoujin Cui
Xiaorong Zhang
Tao Lu
Source :
AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 9, p24832-24853, 22p
Publication Year :
2024

Abstract

In this paper, we investigated the nonlinear vibration characteristics and time-delay feedback controllability of a fractional horizontal roll system, which is described by a fractional Duffing-van der Pol oscillator under an external harmonic excitation. We focused on the resonance of fractional roller systems and conducted corresponding vibration control. The amplitude-frequency equations of primary resonance and superharmonic resonance were obtained using the multiple scale method. The amplitude-frequency characteristic curves of the system with different parameters were presented, and the influence of system parameters on the curves was analyzed. In addition, the timedelay feedback controller was designed to control the parameter excitation vibration. The numerical simulation results have verified the effectiveness of the time-delay controller in eliminating the jumping and hysteresis phenomena of the rolling system. The comparisons of approximate analytical solution and numerical solution was fulfilled, and the result certifies the correctness and satisfactory precision of the approximately analytical solution. The analysis results provide certain theoretical guidance for the vibration reduction of the horizontal nonlinear roller system. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24736988
Volume :
9
Issue :
9
Database :
Complementary Index
Journal :
AIMS Mathematics (2473-6988)
Publication Type :
Academic Journal
Accession number :
179718704
Full Text :
https://doi.org/10.3934/math.20241209