| Spiral bevel gears and helical gears, because the engagement coincidence is large,carrying capacity, so that the gear transmission process tends to be stable, so it is a wide range of industrial machinery and equipment power transmission device.Its mechanical performance and working condition directly affects the operation stability of the entire equipment.Due to the existence of many nonlinear factors in the gear system, led to the gear system with complex nonlinear vibration characteristics, it is also appeared in the process of gear system is the main reason for the vibration noise.In this paper, the secondary cone - helical gear system as the research object, considering the nonlinear factors affecting gear system, establishes the mechanics model of the system,the system dynamics differential equation, followed by C language programming, with the fourth order Runge-Kutta numerical simulation.Drawing the system under the single parameter bifurcation diagram, phase diagram, poincare map biggest impact dynamic load diagram and state diagram, in the system parameters ka1,km1,ζ1,em,ζ11,k11 , b,T1 together with the excitation frequency under the action of the system under the impact of the cycle of the plane diagram, three-dimensional bifurcation diagram and dynamic load plane distribution map, through the analysis of these maps, the system parameters of the gear the stability of the system running the law, the optimal parameter interval.The analysis shows that the system is in the low frequency, the system is in a state where the impact is not fully meshed and stability running state. The change of the system parameters has little effect on the running state of the system, when the excitation frequency reaches a certain value, the system parameter changes have significant effect on the system.The influence of each parameter on the system can be summarized as follows:appropriate to increase the stiffness kal,the input load T1, support damping coefficient ζ11,stiffness k11, reducing average mesh stiffness km1 and comprehensive meshing error em,can make the system stay almost periodic or chaotic state area decreases and broaden the zone of the stability of the system, the motion law of the system becomes simple, the system is more likely to enter the periodic motion, and the impact vibration characteristic is obviously weakenedof the system . When the meshing damping coefficient ζ1 and the clearance of the tooth side b are small, the tooth surface impact and the tooth back impact phenomenon occur during the meshing process of the system gear pair 1 within a certain frequency rangeω1, the system may occur meshing teeth, broken teeth of the situation, as ζ1,b these two parameters in the appropriate range becomes larger, the gear from the bilateral impact of the transition to unilateral impact or no impact state, the detachment phenomenon has been significantly improved, which is conducive to the accuracy of the system gear transmission, improve gear transmission life. By studying the dynamic characteristics of the gear system, the nonlinear parameters of the system are analyzed, and the optimal interval of the parameters is obtained,which can slow down and inhibit the bifurcation and chaos of the gear system. |
