In this paper, we theoretically investigate the nonlinear dynamic characteristics of gear pair system under combined internal and external periodic excitations. The dynamic model of a viscously damped gear pair model with periodic time-varying stiffness, backlash, static transmission error and external periodic excitation is established. The incremental harmonic balance method (IHBM) is applied to analyze the frequency response characteristics as well as the effects of the periodic time-varying stiffness, excitation force amplitude and viscous damping ratio on the dynamic characteristics. Results show that, under combined internal and external periodic excitations, the multi-valued properties and jump phenomena occur not only in primary resonance frequency but also in super harmonic frequency, the excitation force amplitude has less influence on the nonlinear dynamic characteristics and the increase of the excitation force amplitude could no longer control the nonlinear vibration of gear system, which are different from the dynamic characteristics under internal periodic excitations.
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ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 17–20, 2014
Buffalo, New York, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-4641-4
PROCEEDINGS PAPER
Non-Linear Dynamics of Gear Pair With Combined Internal and External Periodic Excitations
Yinggang Li,
Yinggang Li
Xi’an Jiaotong University, Xi’an, China
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Tianning Chen,
Tianning Chen
Xi’an Jiaotong University, Xi’an, China
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Xiaopeng Wang
Xiaopeng Wang
Xi’an Jiaotong University, Xi’an, China
Search for other works by this author on:
Yinggang Li
Xi’an Jiaotong University, Xi’an, China
Tianning Chen
Xi’an Jiaotong University, Xi’an, China
Xiaopeng Wang
Xi’an Jiaotong University, Xi’an, China
Paper No:
DETC2014-34040, V008T11A022; 5 pages
Published Online:
January 13, 2015
Citation
Li, Y, Chen, T, & Wang, X. "Non-Linear Dynamics of Gear Pair With Combined Internal and External Periodic Excitations." Proceedings of the ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 8: 26th Conference on Mechanical Vibration and Noise. Buffalo, New York, USA. August 17–20, 2014. V008T11A022. ASME. https://doi.org/10.1115/DETC2014-34040
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