A Class of Parametric Excitation Vibration Problem with&nbsp; Fractional Derivative

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (4) : 88-92.

A Class of Parametric Excitation Vibration Problem with Fractional Derivative

GE Zhixin1,CHEN Xianjiang2,CHEN Songlin1

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Abstract

A class of parametric excitation vibration problems with fractional derivative damping was studied. First of all,the asymptotic solution of the Mathieu vibration equation of the fractional derivative defined by the Riemann-Liouville was structured. In the case of different values of excitation parameters,asymptotic solutions were obtained by the method of multiple scales. The influence of fractional order index on the asymptotic solution was obtained.

Key words

multiple scales / fractional derivative / parametric excitation / transition curve

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GE Zhixin1,CHEN Xianjiang2,CHEN Songlin1. A Class of Parametric Excitation Vibration Problem with Fractional Derivative[J]. Journal of Vibration and Shock, 2017, 36(4): 88-92

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