Paper Title:

The Research on Nonlinear Vibration Characteristic of Ravingneaux Compound Planetary Gear Sets

Periodical Applied Mechanics and Materials (Volumes 105 - 107)
Main Theme Vibration, Structural Engineering and Measurement I
Edited by Paul P. Lin and Chunliang Zhang
Pages 62-69
DOI 10.4028/www.scientific.net/AMM.105-107.62
Citation Bo Qian et al., 2011, Applied Mechanics and Materials, 105-107, 62
Online since September, 2011
Authors Bo Qian, Shi Jing Wu, Hong Wu Li, Jin Xu
Keywords Compound Planetary Gear Sets, Nonlinear Dynamic Model, Time-Varying Mesh Stiffness
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Abstract

The nonlinear dynamic model of Ravingneaux compound planetary gear sets has been built. The model includes time-varying mesh stiffness of gears, backlash as well as comprehensive mesh errors nonlinearities. By introducing relative displacements of components as the new generalized coordinates, uniform nonlinear differential equations of compound planetary gear sets are built. Then the nondimensional dynamic differential equations are derived. The nonlinear differential equations have been solved utilizing ariable step size Gill method. By changing system nondimensional excitation frequency, monocycle anharmonic response, multiply periodic subharmonic response, quasi-periodic response and chaotic response are obtained. By means of time histories, phase-plane diagram, Poincare maps and power spectrum, various responses are compared and analyzed in detail.