Dynamic characteristics analysis of vibration isolation system with fractional-order semi-active particle damper

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (21) : 194-200.

XUE Cheng, XIA Zhaowang1,2, LU Zhiwei1, JU Fuyu1, MAO Kaijie3

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Abstract

This article established a fractional-order model for semi-active particle damper and the relationship between fractional-order parameters and its actual physical parameters is identified by experiments. The experimental results show that the fractional-order coefficient has a linear relation with particle filling rates and the fractional order has a cubic polynomial relation with the coil current. Then, this article researched a SDOF vibration isolation system including fractional-order semi-active particle damper, whose analytical solution is obtained by averaging method and numerical solution is got based on Grünwald-Letnikov Fractional-order definition. The comparison between the analytical solution and the numerical solution shows that they have a great consistency. Finally, this article discussed the influences of fractional parameters on the steady-state response amplitude of the system. The results found that with the increase of fractional order or the decrease of fractional-order coefficient, the steady-state response amplitude of the system would show a downward trend. The change of fractional order will lead the natural frequency to change and the optimal value of fractional order is 1.47.
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Key words

semi-active particle damping；fractional-order vibration isolation system；averaging method；Grü / nwald-Letnikov fractional-order definition；Parameter optimization

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XUE Cheng, XIA Zhaowang1,2, LU Zhiwei1, JU Fuyu1, MAO Kaijie3. Dynamic characteristics analysis of vibration isolation system with fractional-order semi-active particle damper[J]. Journal of Vibration and Shock, 2021, 40(21): 194-200

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