| Autor: |
M.T. Motchongom, G.B. Tanekou, Fonzin Fozin, L.Y. Kagho, R. Kengne, F.B. Pelap, T.C. Kofane |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Chaos, Solitons & Fractals: X, Vol 7, Iss , Pp 100064- (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2590-0544 |
| DOI: |
10.1016/j.csfx.2021.100064 |
| Popis: |
In this paper, the resonance behavior of a spring-block model with fractional-order derivative under periodic stress perturbation is investigated. Using the harmonic balance method, we derive the frequency-response equations for the system consisting of two blocks linked by a linear spring. The results have shown that the fractional-order derivative and perturbation parameter can affect the dynamical properties of fault rock, which is characterized by the equivalent linear damping coefficient and the equivalent linear stiffness coefficient. The frequency-response curve displays the resonance peaks and one anti-resonance. The effects of parameters q,β0,ε0,β1 and ε1 on the resonance and anti-resonance periods and the response amplitudes at the resonance frequency are analyzed. The shear stress response shows that the system accumulates a lot of energy at the resonance frequency. This accumulation can lead to the destabilization of the fault system. The blocks move without accumulating energy at the anti-resonance frequency. This can lead to the stabilization of the fault system. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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