Numerical calculating linear vibrations of third order systems involving fractional operators

Nguyen Van Khang, Tran Dinh Son, Bui Thi Thuy

Abstract


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.

Keywords


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

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DOI: https://doi.org/10.15625/0866-7136/34/2/924 Display counter: Abstract : 48 views. PDF : 20 views.

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