# Two parameter optimization design of involute straight tooth profile modification

The modification parameters of the two gears are the same, the value range of the modification amount is [0, 0.022mm], the value interval is 0.002mm, the value range of the modification length is [0, 7mm], the value interval is 0.7mm, and there are 132 sample points in the simulation analysis. Under different modification parameters, the three-dimensional and two-dimensional contour map of dynamic load coefficient are as shown in the figure.

It can be seen from the figure that under most modification parameters, the dynamic load coefficient of the gear is smaller than that of the gear without modification. Only when the modification amount is large and the modification length is short, the dynamic load coefficient of the modified gear is larger than that of the gear without modification. From the global point of view, the trend of dynamic load coefficient with shape modification parameters is not complex, and there is a global best point. When the reshaping length is 4.2mm and the reshaping amount is 0.012mm, the dynamic load coefficient reaches the minimum value of 1.8.

The modification length of the two gears is 4.2mm, the value interval of the modification amount is [0, 0.022mm], and the value interval is 0.002mm. There are 144 sample points in the simulation calculation. Under different modification parameters, the three-dimensional and two-dimensional contour map of dynamic load coefficient are as shown in the figure. It can be seen from the figure that from a global point of view, the change trend of dynamic load coefficient with parameters is not complex, and there is also a global best point. At this time, the modification amount of both gears is 0.012mm, and the dynamic load coefficient reaches the minimum value of 1.8.

The modification amount of the two gears is 0.01mm, the modification length interval is [0,7mm], and the value interval is 0.7mm. There are 121 sample points in the simulation calculation. Under different modification parameters, the three-dimensional and two-dimensional contour map of dynamic load coefficient are as shown in the figure. It can be seen from the figure that there is also a single best in the global, which is in a relatively flat area. When the modification length of gear 1 is 3.5mm and the modification length of gear 2 is 4.2mm, the dynamic load coefficient reaches the minimum value of 1.9, which is greater than the corresponding minimum dynamic load coefficient of 1.8 in the first two cases. 