Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method.

Hosen, M. A and Chowdhury, Md. Sazzad Hossien (2016) Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method. Malaysian journal of Mathematical sciences, 10 (Special Issue). pp. 181-192. ISSN 1823-8343

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Abstract

In this study, Harmonic Balance Method (HBM) is applied to determine approximate analytic solutions of strongly nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. Mainly, a set of nonlinear algebraic equations is solved in this method. The new method avoids the necessity of numerically solving sets of algebraic equations with very complex nonlinearities. Numerical comparisons between the HBM and the exact solutions reveal that the HBM is a promising tool for strongly nonlinear oscillator’s problems.

Item Type:	Article (Journal)
Additional Information:	5807/55182
Uncontrolled Keywords:	Approximate frequency,harmonic balance method,cubicquintic duffing oscillator, analytical solutions.
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	09 Feb 2017 09:46
Last Modified:	13 Apr 2017 10:58
URI:	http://irep.iium.edu.my/id/eprint/55182

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