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Non-Linear Dynamics of Gear Pair With Combined Internal and External Periodic Excitations

[+] Author Affiliations
Yinggang Li, Tianning Chen, Xiaopeng Wang

Xi’an Jiaotong University, Xi’an, China

Paper No. DETC2014-34040, pp. V008T11A022; 5 pages
doi:10.1115/DETC2014-34040
From:
  • 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
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4641-4
  • Copyright © 2014 by ASME

abstract

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.

Copyright © 2014 by ASME

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