# Calculation example of tooth profile parameters of spiral bevel gear

### 1. Calculation of tooth profile geometric parameters of precision forged small module spiral bevel gears

Under the cold forging process, the material deformation resistance is large, the material flow resistance is large, and the required forging pressure is more than ten times that of hot forging under the same conditions, but the diameter of small module spiral bevel gear is small and the material is less. Therefore, in this case, small module spiral bevel gear pair is selected as the cold forging simulation object, hereinafter referred to as small module spiral bevel gear pair.

Taking a pair of spiral bevel gear pairs with circular division modulus of 1.27mm, large and small gear teeth of 41 and 11, pressure angle of 20 ° and helix angle of 35 ° as an example, the geometric parameters of the wheel blank can be calculated according to the determined basic parameters with reference to the parameter value method shown in Section 2.2. It provides a basis for the calculation of machining parameters, the establishment of wheel blank and the establishment of model, and realizes the design of spiral bevel gear pair in the primary stage. Other parameters of spiral bevel gear can be obtained through the wheel blank formula made by conventional Gleason or look-up table.

### 2. Calculation of tooth profile geometric parameters of precision forged medium modulus spiral bevel gears

For spiral bevel gears with medium modulus and above, due to their large size, the loading force required under cold forging is very large. Therefore, the method of hot forging cold finishing is considered for forging, hereinafter referred to as hot forged spiral bevel gears. Take a pair of spiral bevel gears with circular modulus of 5.69mm, large and small gear teeth of 39 and 9, pressure angle of 20 ° and spiral angle of 35 ° as an example for parameter calculation, The parameter calculation method is the same as that of small modulus.

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