A theoretical and experimental investigation on effect of three dimensional modification on vibration characteristics of herringbone gear system

The method of three dimensional teeth modification with four-order parabolic is proposed for the high precision herringbone gear transmission system which are applied in important areas of aviation and navigation, and cubic B-spline curves are used for establishing accurate tooth surface model including the teeth modification and manufacturing errors. A 12-degree of freedom herringbone gear vibration model is established considering transmission error and corner mesh impact force excitations, and the characteristics of incentive vibration excitation factors under the influence of tooth surface modification are comprehensively analyzed. Transmission error fluctuation amplitude, corner meshing impact force amplitude and relative vibration acceleration RMS value of meshing line direction are taken as dynamic multi-objective optimization function, and optimization results show that better noise reduction effect is obtained by a vibration reduction rate of 20.42%. Closed herringbone gear transmission power flow test rig is set up, and Heidenhain angle encoders are used to measure the relative vibration acceleration in meshing line direction. Experimental results are in accordance with those of the simulation results, and the maximum relative deviation between the theoretical results and the experimental data is less than 14.5%.