In order to study the amplitude jump and tooth surface impact characteristics of the straight bevel gear transmission system with the backlash,the dynamic equations of the system is established by means of the harmonic balance method.In the two-parameter dimensional planes constructed by frequency and gap,time-varying stiffness,static comprehensive error,load and so on,the Broyden-quasi-Newtonian method and the quasi-arc-length continuation algorithm are used to obtain the parameter solution domain boundary structure of the system.Then,the sensitivity of amplitude jumping,multi-value solution and meshing impact characteristics to the parameters is explored.The results show that the amplitude jump and multi-value solution phenomena occur in the main resonance region at meshing frequency and axis frequency.Especially,the dynamic characteristics are very complex and abundant at the meshing frequency.There is the serious tooth surface impact phenomenon under the small backlash.while the jump and tooth surface impact of the system tend to be stable when the backlash b>0.98.The dynamic characteristics of the system are insensitive to time-varying meshing stiffness.Under the stimulation of high-speed light load or large tooth surface error,the nonlinear jumps and tooth surface impact of the system are aggravated.The proposed solution domain structure provides a data support for bevel gears structure design.
维普
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