An analytical approximate technique to investigate a finite extensibility nonlinear oscillator
Author
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 24, Issue 0 (31 Oct. 2017), pp.242-246, 5 p.
Publisher
University of Bahrain College of Science
Publication Date
2017-10-31
Country of Publication
Bahrain
No. of Pages
5
Main Subjects
Topics
Abstract EN
In this paper, an analytical approximate technique based on modified harmonic balance method is presented to study about the dynamics of a finite extensibility nonlinear oscillator described by Febbo (2011) and Bele´ndez et al.
(2012).
Generally, a second-order approximation is only considered in this paper.
In the proposed method, the approximate period of oscillations and the corresponding periodic solutions are determined, which are valid for both range of amplitudes 0< A 0.9 and 0.9< A <1 of oscillation.
The approximate periods obtained in this paper are compared with numerical result (considered to be exact) and other existing results.
Firstly, the results are obtained for the amplitude 0< A 0.9 and show that the present method gives high accuracy than other existing results.
Moreover, the results are also obtained for the rest of the amplitude 0.9< A< 1.
The relative error measure in this paper is 0.03% for A= 0.9 while the relative errors obtained by Febbo (2011) and Bele´ndez et al.
(2012), were 3.53% and 0.60% respectively.
On the other hand, Belendez et al.
(2012) did not obtain approximate period for 0.9< A< 1.
In this article, the approximate periods have been determined in the range of value 0.9< A< 1 and they have provided better results than the existing result of Febbo (2011).
American Psychological Association (APA)
Razzak, Abdur. 2017. An analytical approximate technique to investigate a finite extensibility nonlinear oscillator. Arab Journal of Basic and Applied Sciences،Vol. 24, no. 0, pp.242-246.
https://search.emarefa.net/detail/BIM-760669
Modern Language Association (MLA)
Razzak, Abdur. An analytical approximate technique to investigate a finite extensibility nonlinear oscillator. Arab Journal of Basic and Applied Sciences Vol. 24 (Oct. 2017), pp.242-246.
https://search.emarefa.net/detail/BIM-760669
American Medical Association (AMA)
Razzak, Abdur. An analytical approximate technique to investigate a finite extensibility nonlinear oscillator. Arab Journal of Basic and Applied Sciences. 2017. Vol. 24, no. 0, pp.242-246.
https://search.emarefa.net/detail/BIM-760669
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 245-246
Record ID
BIM-760669