Title: Parametric resonance analysis on simplified Planetary Gear Trains

Authors: Jianming Yang, Liming Dai

Addresses: College of Mechanical Engineering, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai 200093, PR China. ' Department of Industrial Systems Engineering, University of Regina, Regina, Saskatchewan, S4S OA2, Canada

Abstract: The possible parametric resonance of a simplified planetary gear train, including primary resonance and combinational resonance, is analysed with a multiple scale method. Viscous damping is incorporated into the analysis and the different effects of viscous damping on primary and combinational resonance are investigated. The transition curves dividing the stable and instable regions at resonance frequencies are expressed in closed form.

Keywords: planetary gear trains; vibration; parametric resonance; stability; viscous damping.

DOI: 10.1504/IJMPT.2008.018025

International Journal of Materials and Product Technology, 2008 Vol.31 No.2/3/4, pp.269 - 282

Published online: 27 Apr 2008 *

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