Bifurcation Analysis of Impact Model in Gear Transmission System
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.
Zeyong Yin, Chengyu Jiang, Datong Qin, Peixin Qiao and Geng Liu
J. Y. Tang et al., "Bifurcation Analysis of Impact Model in Gear Transmission System", Applied Mechanics and Materials, Vol. 86, pp. 479-482, 2011