Bifurcation and Chaos Prediction in Nonlinear Gear Systems

Joint Authors

Farshidianfar, Anooshirvan
Saghafi, Amin

Source

Shock and Vibration

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

Civil Engineering

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