Free Oscillations of a Nonlinear Oscillator with an Exponential Non-Viscous Damping

Remus Daniel Ene; Vasile Marinca; Bogdan Marinca

doi:10.4028/www.scientific.net/AMM.801.38

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An Application of the Optimal Homotopy Asymptotic Method to Generalized Van der Pol Oscillator
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 801Free Oscillations of a Nonlinear Oscillator with...

Free Oscillations of a Nonlinear Oscillator with an Exponential Non-Viscous Damping

Abstract:

This paper deals with the nonlinear oscillations of an exponential non-viscous damping oscillator. An analytic technique, namely Optimal Homotopy Perturbation Method (OHPM) is employed to propose an analytic approach to solve nonlinear oscillations. Our procedure proved to very effective and accurate and did not require a small or large parameters in the nonlinear equation or in the initial conditions. An excellent agreement of the approximate frequencies and periodic solutions with the numerical ones has been demonstrated.

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Periodical:

Applied Mechanics and Materials (Volume 801)

Pages:

38-42

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.801.38

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Online since:

October 2015

Authors:

Remus Daniel Ene*, Vasile Marinca, Bogdan Marinca

Keywords:

Nonlinear Oscillator, Non-Viscous Exponential Damping, Optimal Homotopy Perturbation Method

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