Numerical calculating linear vibrations of third order systems involving fractional operators

Authors

  • Nguyen Van Khang Hanoi University of Technology, Vietnam
  • Tran Dinh Son Hanoi University of Mining and Geology, Vietnam
  • Bui Thi Thuy Hanoi University of Mining and Geology, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/34/2/924

Keywords:

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

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.

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Published

30-05-2012

How to Cite

Khang, N. V., Son, T. D., & Thuy, B. T. (2012). Numerical calculating linear vibrations of third order systems involving fractional operators. Vietnam Journal of Mechanics, 34(2), 91–99. https://doi.org/10.15625/0866-7136/34/2/924

Issue

Section

Research Paper

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