Solid modeling of helical gear

In recent years, with the continuous research in the field of face gear, according to the axis relationship of transmission gear, face gear transmission is divided into four cases: General intersection, vertical intersection, general phase error and vertical phase error. In the research field of face gear, the research of spur gear has made many achievements, but its transmission stability and bearing capacity still need to be improved. Taking helical gear as the research object, the three-dimensional model of helical gear is created according to the meshing boundary conditions and tooth surface equation of helical gear.

During the processing of helical gear, most of the gears meshing with helical gear are involute helical cylindrical gears. In theory, the tooth surface of helical gear should be consistent with the tooth surface of helical small cylindrical gear. Therefore, the tooth surface of helical gear consists of two parts: meshing part and transition part. Because the installation position of the cutter and the processed helical gear is relatively special when machining the helical gear, its tooth surface has its special properties: undercutting is easy to occur in the proximal tooth root part and sharpening of the tooth top is easy to occur in the distal tooth top part. In face gear transmission, in order to avoid the above situation, the effective working surface of helical gear must be in the middle of undercutting and tooth tip sharpening. Taking the helical gear as the research object, the generation of its tooth surface, the undercutting of helical gear and the sharpening of tooth top are described.

The tooth surface equation of helical gear is deduced, and the tooth width limit condition of helical gear is determined. Based on the gear meshing principle and through numerical calculation, the coordinates of the working tooth surface, tooth surface transition curve and data points of the transition tooth surface of the helical tooth surface gear are obtained, which are imported into Pro / E software to complete the solid modeling of the helical tooth surface gear.

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