Solution of cubic-quintic Duffing oscillators using harmonic balance method

Hosen, Md. Alai and Chowdhury, Md. Sazzad Hossien (2014) Solution of cubic-quintic Duffing oscillators using harmonic balance method. In: 3rd International Conference on Mathematical Applications in Engineering (ICMAE'14), 23-25 Sept. 2014, Sunway Putra Hotel, Kuala Lumpur. (Unpublished)

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Abstract

In this study, Harmonic balance Method (HBM) is applied to approximate analytic solutions of strongly nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. In this paper, the HBM is mainly illustrated by the cubic-quintic Duffing oscillator. 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:	Conference or Workshop Item (Full Paper)
Additional Information:	5807/38617
Uncontrolled Keywords:	Approximate frequency, Harmonic balance method, Cubic-quintic 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 > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	09 Oct 2014 10:03
Last Modified:	09 Oct 2014 10:03
URI:	http://irep.iium.edu.my/id/eprint/38617

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