To improve the strength performance of spiral bevel gears and reduce vibration and noise

a multi-objective optimization design model for tooth surfaces of spiral bevel gears was established by using the tooth contact analysis (TCA)

load tooth contact analysis (LTCA) and local synthesis method to increase the contact ratio and reduce the transmission error amplitude at the transition of meshing; the non-dominated sorting genetic algorithm with elite strategy NSGA-II was used to optimize three second-order the contact parameters of the tooth surfaces

and the optimized solution was selected from the Pareto optimal solution set according to the importance of the objective function. The results showed that

under the given conditions

the optimized second-order parameters increased the contact ratio of the spiral bevel gear pair by 16.69%

and reduced the transmission error amplitude at the meshing conversion by 87.33%; meanwhile

the average load transmission error

the average tooth surface contact stress and the average tooth root bending stress of the large and small gears were reduced by 11.82%

0.25%

12.32% and 13.61% respectively

which improved the strength performance and meshing performance of the gear pair

and achieved the effect of the vibration and noise reduction.