A simple harmonic balance method for solving strongly nonlinear oscillators
Author
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 21, Issue 0 (31 Oct. 2016), pp.68-76, 9 p.
Publisher
University of Bahrain College of Science
Publication Date
2016-10-31
Country of Publication
Bahrain
No. of Pages
9
Main Subjects
Topics
Abstract EN
In this paper, a simple harmonic balance method (HBM) is proposed to obtain higher- order approximate periodic solutions of strongly nonlinear oscillator systems having a rational and an irrational force.
With the proposed procedure, the approximate frequencies and the correspond-ing 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.
American Psychological Association (APA)
Abd al-Razzaq, Md. 2016. A simple harmonic balance method for solving strongly nonlinear oscillators. Arab Journal of Basic and Applied Sciences،Vol. 21, no. 0, pp.68-76.
https://search.emarefa.net/detail/BIM-717726
Modern Language Association (MLA)
Abd al-Razzaq, Md. A simple harmonic balance method for solving strongly nonlinear oscillators. Arab Journal of Basic and Applied Sciences Vol. 21 (Oct. 2016), pp.68-76.
https://search.emarefa.net/detail/BIM-717726
American Medical Association (AMA)
Abd al-Razzaq, Md. A simple harmonic balance method for solving strongly nonlinear oscillators. Arab Journal of Basic and Applied Sciences. 2016. Vol. 21, no. 0, pp.68-76.
https://search.emarefa.net/detail/BIM-717726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 75-76
Record ID
BIM-717726