In this paper, meshing model for cycloid bevel gear was established when considering the effect of friction and parameter excitation. Generalized coordinates was determined according to relative displacement along the line of action of gear meshing point, torsional vibration balance equation of pinion and gear was obtained by using Lagrange principle, and then system dynamics equation was obtained through reduced order, decoupling and normalization. Adopting fourth-fifth order Runge-Kutta method to solve the dynamic equation, displacement response curve of tooth meshing point relative friction factor was given; based on system parameter excitation, the influence of damping level, external load, transmission error, stiffness and excitation frequency on vibration characteristics of meshing point was compared and analysised with friction and not, also displacement response curves corresponding to parameter excitation were given. The simulation results show that: displacement response amplitude of parametric excitation at meshing point was effectively restrained by friction, and peak frequency occur drift; meanwhile indicate that both excitation frequency and friction will change the motion and increase the complexity movement of system.
LIU Zhi-feng;GUO Chun-hua;YANG Wen-tong;ZHANG Zhi-min;CAI Li-gang.
Parametric excitation vibration characteristic research for cycloid bevel gear considering friction[J]. Journal of Vibration and Shock, 2014, 33(16): 90-96
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