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

Publisher: Trans Tech Publications

E-ISSN: 1662-7482|2015|801|38-42

ISSN: 1660-9336

Source: Applied Mechanics and Materials, Vol.2015, Iss.801, 2015-11, pp. : 38-42

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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.