On the basis of considering the nonlinear coupling excitation of stiffness and error, without considering the tooth direction modification of helical gear, the influence of tooth profile modification parameters on the vibration response of helical gear system is studied.
The modification length of helical gear profile La = 6.4mm, and the trimming amount CA are 0, 10, 20, 30, 40 and 50 respectively μ M, X and of special node main helical gear node θ The amplitude frequency curve of vibration acceleration varying with speed in Z direction is shown in Figure 1. θ The vibration acceleration in Z direction can be determined by θ The vibration angular acceleration in Z direction can be obtained by transformation. When the meshing frequency FN is equal to the 14th, 16th and 21st natural frequencies of the system, the resonance peak appears in the amplitude frequency curve of the vibration acceleration in the X direction of the driving wheel; When the meshing frequency is equal to F16 / 2, the second harmonic resonance peak appears. Driving wheel θ When the meshing frequency FN is equal to the 13th, 14th and 16th natural frequencies of the system, the resonance peak appears in the amplitude frequency curve of vibration acceleration in Z direction; When the meshing frequencies are equal to F14 / 3, F14 / 2 and F16 / 2, higher harmonic formants appear. With the increase of helical gear profile modification, the vibration acceleration amplitude of driving wheel decreases as a whole, and the modification amount is 30 μ M, the amplitude of vibration acceleration decreases the most, and the formant of the system also decreases. When the modification continues to increase, the amplitude of vibration acceleration increases. Compared with the unmodified system, the formant of the modified system shifts, and the shift trend tends to be more obvious with the increase of the amount of modification.
Modification amount of helical gear profile CA = 30 μ m. When the modification length La of helical gear profile is 0, 1.6, 3.2, 4.8, 6.4 and 8.0mm respectively, X and X of special node main gear node θ The amplitude frequency curve of vibration acceleration varying with speed in Z direction is shown in Figure 2. Comparing figures 1 and 2, it can be seen that under the same position and different helical gear tooth modification amount and modification length, the overall change trend of driving wheel vibration acceleration amplitude frequency curve is the same, but the amplitude is slightly different. When the modification length is 6.4mm, the amplitude of vibration acceleration decreases the most.