Vladimir A. Smirnov, Marina V. Shitikova, "Finite Difference Scheme for an Oscillating SDOF System with Fractional Damping," WSEAS Transactions on Applied and Theoretical Mechanics, vol. 21, pp. 1-8, 2026, DOI:10.37394/232011.2026.21.1
Vladimir A. Smirnov, Marina V. Shitikova. Finite Difference Scheme for an Oscillating SDOF System with Fractional Damping.
WSEAS Transactions on Applied and Theoretical Mechanics. 2026;21:1-8. 10.37394/232011.2026.21.1
WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 21, 2026
Finite Difference Scheme for an Oscillating SDOF System with Fractional Damping
Authors: ,
Abstract: This paper presents the results of the analysis of the dynamic response of a single-degree-of-freedom system comprising a mass and a fractional derivative Kelvin-Voigt element. Using the explicit time difference scheme both for fractional and traditional derivatives, the equation of motion for the system is derived from interior nodes. The forced excitation problem is solved and the results are compared with the conventional derivative case. Furthermore, spectral analysis of mass oscillations is carried out and characteristic frequencies are discussed.
Keywords:
dynamic analysis, finite difference method, fractional calculus, viscoelasticity, fractional derivative, structural mechanics
Pages: 1-8 WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 21, 2026, Art. #1 DOI: 10.37394/232011.2026.21.1
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