Two objective functions and three design variables are proposed by using local synthesis method and TCA technology, and the constraints are set reasonably. The multi-objective optimization of spiral bevel gear is realized based on NSGA-II algorithm, and the real tooth surface contact process is simulated combined with LTCA technology. The following conclusions are drawn:
1) Compared with the contact marks of the spiral bevel gear before and after optimization, the meshing area, the number of meshing points and the inclination of the contact trace of the spiral bevel gear have increased, and the contact trace approaches a straight line.
2) Compared with before optimization, the coincidence degree is 1.458, and the transmission error amplitude at the meshing transition of spiral bevel gear is 11.130 “. After optimization, the coincidence degree increases by 16.69%, and the amplitude decreases by 87.33%. The specific values are 1.75 and 1.410” respectively.
3) Compared with the contact characteristic responses before and after optimization, the average value of load-bearing transmission error, the average value of contact stress on the spiral bevel gear surface and the average value of bending stress on the large and small tooth roots after optimization have decreased by 11.82%, 0.25%, 12.32% and 13.61% respectively, and the proportion of single tooth bearing full load in a meshing cycle has been greatly reduced, and the contact performance and strength of the spiral bevel gear surface have been improved as a whole.