Comparative Vibration Analysis of a Parametrically Nonlinear Excited Oscillator Using HPM and Numerical Method
Joint Authors
Tolou, N.
Khatami, I.
Pashai, M. H.
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-09-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The objective of this paper is to present an analytical investigation to analyze the vibration of parametrically excited oscillator with strong cubic negative nonlinearity based on Mathieu-Duffing equation.
The analytic investigation was conducted by using He's homotopy-perturbation method (HPM).
In order to obtain the analytical solution of Mathieu-Duffing equation, homotopy-perturbation method has been utilized.
The Runge-Kutta's (RK) algorithm was used to solve the governing equation via numerical solution.
Finally, to demonstrate the validity of the proposed method, the response of the oscillator, which was obtained from approximate solution, has been shown graphically and compared with that of numerical solution.
Afterward, the effects of variation of the parameters on the accuracy of the homotopy-perturbation method were studied.
American Psychological Association (APA)
Khatami, I.& Pashai, M. H.& Tolou, N.. 2008. Comparative Vibration Analysis of a Parametrically Nonlinear Excited Oscillator Using HPM and Numerical Method. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-511220
Modern Language Association (MLA)
Khatami, I.…[et al.]. Comparative Vibration Analysis of a Parametrically Nonlinear Excited Oscillator Using HPM and Numerical Method. Mathematical Problems in Engineering No. 2008 (2008), pp.1-11.
https://search.emarefa.net/detail/BIM-511220
American Medical Association (AMA)
Khatami, I.& Pashai, M. H.& Tolou, N.. Comparative Vibration Analysis of a Parametrically Nonlinear Excited Oscillator Using HPM and Numerical Method. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-511220
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511220