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Bifurcation and Chaos Prediction in Nonlinear Gear Systems
Joint Authors
Farshidianfar, Anooshirvan
Saghafi, Amin
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The homoclinic bifurcation and transition to chaos in gear systems are studied both analytically and numerically.
Applying Melnikov analytical method, the threshold values for the occurrence of chaotic motion are obtained.
The influence of system parameters on the character of vibration is studied.
The numerical simulation of the system including bifurcation diagram, phase plane portraits, Fourier spectra, and time histories is considered to confirm the analytical predictions for the occurrence of homoclinic bifurcation and chaos in nonlinear gear systems.
American Psychological Association (APA)
Farshidianfar, Anooshirvan& Saghafi, Amin. 2014. Bifurcation and Chaos Prediction in Nonlinear Gear Systems. Shock and Vibration،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1048008
Modern Language Association (MLA)
Farshidianfar, Anooshirvan& Saghafi, Amin. Bifurcation and Chaos Prediction in Nonlinear Gear Systems. Shock and Vibration No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1048008
American Medical Association (AMA)
Farshidianfar, Anooshirvan& Saghafi, Amin. Bifurcation and Chaos Prediction in Nonlinear Gear Systems. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1048008
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048008