Finite Difference Scheme for an Oscillating SDOF System with Fractional Damping
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.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Vibration and Dynamic Analysis
Chaos control and synchronization
Publication details
- Journal / source
- WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS
- Volume
- 21
- Pages
- 1–1
- Publication date
- 2 January 2026
- Language
- EN