Exact steady-state solution of fractals damped, and forced systems
| Autor: | Oscar Martínez-Romero, Luis Manuel Palacios-Pineda, Daniel Olvera-Trejo, Alex Elías-Zúñiga |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Steady state (electronics) Fractal forced and damped system Differential equation QC1-999 Mathematical analysis Frequency–amplitude response General Physics and Astronomy Two-scale fractal dimension transform Fractal dimension Resonance (particle physics) Fractal Present method Exact steady state solution |
| Zdroj: | Results in Physics, Vol 28, Iss, Pp 104580-(2021) |
| ISSN: | 2211-3797 |
| Popis: | In this article, the methodology for deriving the exact steady-state solutions of forced oscillatory systems has been extended to obtain the solution of fractal damped and forced differential equations using the two-scale fractal dimension transform. Finally, a numerical example is given to illustrate the applicability of the proposed approach in obtaining the frequency–amplitude response curves for a forced and damped fractal oscillator. Numerical results show that the fractal parameter values shift the frequency–amplitude curves to the left and right from the resonance curve. The present method sheds new light on solving damped and forced fractal oscillators. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|