The optimal design mathematical model of single-stagenutation reducer is as follows
Where 1 ≤ J ≤ 12.
The model is a discrete optimization design problem with 4 design variables and 12 optimization constraints. The optimization results can be obtained by lingo software.
The tooth surface equation of double circular arcis established, and then the three-dimensional model of single-stage nutation double circular arc spiral bevel gear is established according to the optimized gear parameters, as shown in the figure.