Solution of cubic-quintic duffing oscillators using harmonic balance method

Hosen, Mdalal and Chowdhury, Md. Sazzad Hossien (2016) Solution of cubic-quintic duffing oscillators using harmonic balance method. Malaysian Journal of Mathematical Sciences, 10. pp. 181-192. ISSN 1823-8343 E-ISSN 2289-750X

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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:	5807/52243
Uncontrolled Keywords:	Approximate frequency, Harmonic balance method, Cubicquintic Duffing oscillator, Analytical solutions.
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	14 Mar 2017 11:46
Last Modified:	13 Apr 2017 10:52
URI:	http://irep.iium.edu.my/id/eprint/52243

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