Numerical calculating linear vibrations of third order systems involving fractional operators

Nguyen Van Khang, Tran Dinh Son, Bui Thi Thuy


This paper presents a numerical method for dynamic calculation of third order systems involving fractional operators. Using the Liouville-Rieman's definition of fractional derivatives, a numerical algorithm is developed on base of the well-known Newmark integration method to calculate dynamic response of third order systems. Then, we apply this method to calculate linear vibrations of viscoelastic systems containing fractional derivatives.


Fractional order derivative; numerical method; vibration; third order system

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