An analytical technique for solving quadratic nonlinear oscillator
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 4 October 2017
Issue publication date: 4 October 2017
Abstract
Purpose
The purpose of this paper is to present an analytical technique, based on the He’s energy balance method (an improved version recently presented by Khan et al.), to obtain the approximate solution of quadratic nonlinear oscillator (QNO).
Design/methodology/approach
This oscillator (QNO) is used as a mathematical model of the human eardrum oscillation.
Findings
It has been shown that the results by the present technique are very close to the numerical solution.
Originality/value
The results obtained in this paper are compared with those obtained by Hu (harmonic balance method) and Khan et al. The result shows that the method is more accurate and effective than harmonic balance as well as improved energy balance methods.
Keywords
Acknowledgements
The authors are grateful to the honorable reviewers for their helpful comments and suggestions in improving the manuscript.
Citation
Molla, M.H.U., Razzak, M.A. and Alam, M.S. (2017), "An analytical technique for solving quadratic nonlinear oscillator", Multidiscipline Modeling in Materials and Structures, Vol. 13 No. 3, pp. 424-433. https://doi.org/10.1108/MMMS-02-2017-0008
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited