University of Bahrain
Scientific Journals

A simple harmonic balance method for solving strongly nonlinear oscillators

Show simple item record Abdur Razzak, Md. 2018-07-30T05:49:43Z 2018-07-30T05:49:43Z 2016
dc.identifier.issn 1815-3852
dc.description.abstract In this paper, a simple harmonic balance method (HBM) is proposed to obtain higherorder approximate periodic solutions of strongly nonlinear oscillator systems having a rational and an irrational force. With the proposed procedure, the approximate frequencies and the corresponding periodic solutions can be easily determined. It gives high accuracy for both small and large amplitudes of oscillations and better result than those obtained by other existing results. The main advantage of the present method is that its simplicity and the second-order approximate solutions almost coincide with the corresponding numerical solutions (considered to be exact). The method is illustrated by examples. The present method is very effective and convenient method for solving strongly nonlinear oscillator systems arising in nonlinear science and engineering. en_US
dc.language.iso en en_US
dc.publisher University of Bahrain en_US
dc.rights Attribution-NonCommercial-ShareAlike 4.0 International *
dc.rights.uri *
dc.subject Nonlinear oscillation
dc.subject Harmonic balance method
dc.subject Truncation
dc.title A simple harmonic balance method for solving strongly nonlinear oscillators en_US
dc.type Article en_US
dc.source.title Arab Journal of Basic and Applied Sciences
dc.abbreviatedsourcetitle AJBAS

Files in this item

This item appears in the following Issue(s)

Show simple item record

Attribution-NonCommercial-ShareAlike 4.0 International Except where otherwise noted, this item's license is described as Attribution-NonCommercial-ShareAlike 4.0 International

All Journals

Advanced Search


Administrator Account