Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator

Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator

The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analytical approximant with the Runge–Kutta numerical so...

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Veröffentlicht in:TheScientificWorld 2022-09, Vol.2022, p.1-9
1. Verfasser: Salas, Alvaro H. S.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Approximation
Damping
Differential equations
Duffing oscillators
Exact solutions
Mathematical analysis
Ordinary differential equations
Runge-Kutta method
Trigonometric functions
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Zusammenfassung:The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analytical approximant with the Runge–Kutta numerical solution. The approximant allows us to estimate the points at which the solution crosses the horizontal axis.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2022/8125305