Nonlinear analysis of the semi-active particle damping vibration isolation system based on fractional-order theory
ISSN: 0264-4401
Article publication date: 19 May 2023
Issue publication date: 2 June 2023
Abstract
Purpose
The purpose of this study is to provide some references about applying the semi-active particle damper to enhance the stability of the pipe structure.
Design/methodology/approach
This paper establishes the dynamical models of semi-active particle damper based on traditional dynamical theory and fractional-order theory, respectively. The semi-active particle damping vibration isolation system applied in a pipe structure is proposed, and its analytical solution compared with G-L numerical solution is solved by the averaging method. The quantitative relationships of fractional-order parameters (a and kp) are confirmed and their influences on the amplitude-frequency response of the vibration isolation system are analyzed. A fixed point can be obtained from the amplitude-frequency response curve, and the optimal parameter used for improving the vibration reduction effect of semi-active particle damper can be calculated based on this point. The nonlinear phenomenon caused by nonlinear oscillators is also investigated.
Findings
The results show that the nonlinear stiffness parameter p will cause the jump phenomenon while p is close to 87; with the variation of nonlinear damping parameter μ, the pitchfork bifurcation phenomenon will occur with an unstable branch after the transient response; with the change of fractional-order coefficient kp, a segmented bifurcation phenomenon will happen, where an interval that kp between 18.5 and 21.5 has no bifurcation phenomenon.
Originality/value
This study establishes a mathematical model of the typical semi-active particle damping vibration isolation system according to fractional-order theory and researches its nonlinear characteristics.
Keywords
Acknowledgements
This research work reported was supported by the Natural Science Foundation of Jiangsu Province (Grant No. BK20191462), Science and Technology on Thermal Energy and Power Laboratory Open Foundation of China (Grant No. TPL2020003) and the Research Innovation Program for College Graduates of Jiangsu Province (Grant No. KYCX21_0084).
Citation
Xue, C., Xia, Z., Lao, X. and Yang, Z. (2023), "Nonlinear analysis of the semi-active particle damping vibration isolation system based on fractional-order theory", Engineering Computations, Vol. 40 No. 3, pp. 594-614. https://doi.org/10.1108/EC-12-2021-0717
Publisher
:Emerald Publishing Limited
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