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Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland


C. Steve Suh (editor)

Texas A&M University, USA


Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China


Stability Analysis of a Planetary Gear Train Having Repeated Natural Frequencies

Journal of Vibration Testing and System Dynamics 5(4) (2021) 321--336 | DOI:10.5890/JVTSD.2021.12.001

M. Javad Abedinilaksar, Jianming Yang

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John's, NL, Canada

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A Planetary gear trains (PGTs) are widely used in numerous engineering fields, such as automotive, aerospace, and wind turbines, etc. In the dynamic model of geared systems, the time-varying meshing stiffness causes parametric resonances or instability. This paper investigates the instability caused by the time changing meshing stiffness in a PGTs with three symmetrically arranged planet gears. Focus is placed on the instability related to the repeated natural frequencies. The multiple scales method is used in the analysis, and the analytical results are verified with numerical simulation based on Floquet theory.


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