Gear reducer is a kind of closed mechanical transmission device. Its main function is to reduce the speed of input shaft and increase the torque between mechanical structures. At present, the center distance of reducer is not compact enough, the volume is large, and the mass is heavy. Therefore, it is urgent to adjust the center distance of the reducer to adapt to the fierce market competition. We can use MATLAB software to optimize the center distance of cylindrical gear reducer, so as to achieve the best design goal.

The accuracy of cylindrical gear reducer is higher, it can reduce the speed of input shaft and increase the torque between mechanical structures. In order to reduce the manufacturing cost of gear reducer and improve the efficiency of R & D personnel, the mathematical model of two-stage helical cylindrical gear reducer is established, and the corresponding constraints are established.

According to the established constraint conditions, the corresponding analytical equation is listed, and the minimum center distance of the cylindrical gear reducer is obtained after the analytical equation is optimized by fmincon function in MATLAB.