Bifurcation Analysis of Impact Model in Gear Transmission System

Abstract:

Considering the meshing gear system as an impact-contact model, the nonlinear viscoelastic contact force model is introduced to establish the impact dynamic equations. With the application of numerical integration, the bifurcation characteristics and energy dissipation are analyzed. Numeric results show that the system has complex dynamic behaviors: ①during the excitation frequency zone[0.1,1.2], many forms of periodic collisional vibration and chaotic vibration appear alternately, ②excitation frequency being ω>ω₇(ω₇=1.147), there are significant differences on the value of energy dissipation between the forward bifurcation diagram and backward bifurcation diagram, which indicate that the initial state has great influence on the steady responses, ③the energy dissipation reaches its peaks at ω=0.45 and ω=0.8, corresponding to multiple collisions and large relative deformation.

• Periodical: Applied Mechanics and Materials (Volume 86)
• Pages: 479-482
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.86.479
• Online since: August 2011
• Authors: Jin Yuan Tang, Qi Bo Wang, Li Juan Wu, Si Yu Chen
• Keywords: Bifurcation, Energy Dissipation, Gear Pair, Nonlinear Viscoelastic Model

References

[1] R.C. Azar, F.R.E. Crossley: Journal of Engineering for Industry, Transactions of the ASME Vol. 99 (1977), p.792.

[2] D.C.H. Yang, Z.S. Sun: Journal of Mechanisms, Transmissions, and Automation in Design Vol. 107 (1985), p.529.

[3] K.H. Hunt, F.R.E. Crossley: ASME Journal of Applied Mechanics Vol. 42 (1975), p.440.

[4] H.M. Lankarani, P.E. Nikravesh: Journal of Mechanical Design Vol. 112 (1990), p.369.