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Chaos and Stability of Spur Gear Transmission System for Locomotive Based on Energy Method and Floquet Theory
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Considering the internal and external excitations such as time-varying mesh stiffness (TVMS), backlash, transmission error, torque of the traction motor, and load torque of the wheel/rail, a lumped mass model of the spur gear drive system for a railway locomotive is established.
Based on Ma models in the relevant literatures, TVMS is calculated by simplifying a gear tooth as a cantilever beam on the root circle, taking into account the effects of extended tooth contact as well as revised foundation stiffness.
The bifurcation diagrams and Lyapunov exponent curves of the model parameters are drawn by the numerical method, and the mechanism of chaos evolution of the gear transmission system is analyzed.
According to the Floquet theory, variation curves of the maximum Floquet multiplier with pinion speed and support stiffness ratio are drawn by numerical methods.
Combined with the bifurcation diagram of the system, the influences of model parameter on the stability of the system are analyzed, and the evolution laws of periodic motion and bifurcation phenomenon are gained.
These research results provide the theoretical evidence of model parameter design of the locomotive transmission system.
American Psychological Association (APA)
Wang, Junguo& Lv, Bo& Zhao, Y.. 2018. Chaos and Stability of Spur Gear Transmission System for Locomotive Based on Energy Method and Floquet Theory. Shock and Vibration،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1215327
Modern Language Association (MLA)
Wang, Junguo…[et al.]. Chaos and Stability of Spur Gear Transmission System for Locomotive Based on Energy Method and Floquet Theory. Shock and Vibration No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1215327
American Medical Association (AMA)
Wang, Junguo& Lv, Bo& Zhao, Y.. Chaos and Stability of Spur Gear Transmission System for Locomotive Based on Energy Method and Floquet Theory. Shock and Vibration. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1215327
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215327