In order to improve double arc gear drive design quality and speed in the complex constrained condition

the Pareto solution set of meeting the constraints is derived by example and the particle swarm optimization algorithm for constrained multi-objective optimization.As there is objective error in engineering

on the basis uniform design of 4 factors

13 levels and SNR calculation of the look mesh characteristics.Taking the most robust design in the pareto solution set as the final stage is selected by the multi-objective robust design principle is in.By the analysis of the results of the program in the objective function（volume function and the relative radius of curvature function） to the sensitivity of the various design variables

it is concluded that the most sensitive factors of the objective function and their impacting on the objective function which can be used to guide the development of tolerance and the actual processing.