Fractional calculus-based vibration suppression model and numerical&nbsp; method for viscoelastic suspension

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (16) : 123-129.

Fractional calculus-based vibration suppression model and numerical method for viscoelastic suspension

LI Zhan-long1,2， SUN Da-gang1,2, LIU Fu-xi1, SONG Yong2, ZHAO Shu-pin2

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Abstract

To obtain dynamic responses of viscoelastic suspension accurately, FKV constitutive model of viscoelastic materials was developed by employing fractional derivative. Vibration model of viscoelastic suspension considering geometric factor was also built based on FKV. Numerical solution was derived by employing Grumwald-Letnikov definition for fraction calculus and matrix function theory. For comparison, dynamic contact FEM was established based on a crawler vehicle installed viscoelastic suspension to compare with fractional method. Results show that fractional vibration control model can embody the nonlocal correlation and memory feature of viscoelastic suspension which exhibits excellent vibration control capability. The numerical result displays well agreement with that from FEM. The study provides essential theoretical references for the future in-situ test and practice application.

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factional calculus / viscoelastic suspension / vibration control model / numerical method

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LI Zhan-long1,2， SUN Da-gang1,2, LIU Fu-xi1, SONG Yong2, ZHAO Shu-pin2. Fractional calculus-based vibration suppression model and numerical method for viscoelastic suspension[J]. Journal of Vibration and Shock, 2016, 35(16): 123-129

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