The Vibration of Spur Gear Pair with Strong Nonlinear Suspension

Abstract:

In this paper, the pure rotational dynamic model of one stage gear pair system is developed and the nonlinear factors, such as strong nonlinear suspension, time-varying mesh stiffness, piece-wise backlash and internal error excitation, are included in our model. The relative mesh displacement is employed to convert the semi-define system with rigid displacement model into a define one. Such qualitative and quantitative methods as the bifurcation diagram, Lyapunov exponents, Poincaré section, phase trajectory, power spectrum and time history curve are utilized in present research to illustrate the nonlinear dynamic behavior of the system. The sub-harmonic response, chaotic response and the route to chaos of the system are revealed based on one applicable numerical integration method.

• Periodical: Advanced Materials Research (Volume 629)
• Pages: 501-505
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.629.501
• Online since: December 2012
• Authors: Xiao Sun Wang, Shi Jing Wu, Ji Cai Hu, Ze Ming Peng
• Keywords: Bifurcation, Chaos, Nonlinear Suspension, Spur Gear Pair

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