Equivalent Mathematical Representation of Second-Order Damped, Driven Nonlinear Oscillators

Alex Elías-Zúñiga and Oscar Martínez-Romero

Mathematical Problems in Engineering, 2013, vol. 2013, 1-11

Abstract:

The aim of this paper focuses on applying a nonlinearization method to transform forced, damped nonlinear equations of motion of oscillatory systems into the well-known forced, damped Duffing equation. The accuracy obtained from the derived equivalent equations of motion is evaluated by studying the amplitude-time, the phase portraits, and the continuous wavelet transform diagrams of the cubic-quintic Duffing equation, the generalized pendulum equation, the power-form elastic term oscillator, the Duffing equation with linear and cubic damped terms, and the pendulum equation with a cubic damped term.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:670845

DOI: 10.1155/2013/670845

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