Numerical calculating linear vibrations of third order systems involving fractional operators
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DOI:
https://doi.org/10.15625/0866-7136/34/2/924Keywords:
Fractional order derivative, numerical method, vibration, third order systemAbstract
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.
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