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Gear Geometry

For the Gleason Spiral Metric System f.e., the geometry is defined by a standardised theoretical basic rack profile and 8 independent geometric quantities:

1 Outer transverse module met
2 Number of teeth of pinion z1
3 Number of teeth of gear z2
4 Face width gear b2
5 Mean spiral angle gear βm2
6 Pinion profile shift coefficient xh1
7 Pinion thickness modification coefficient xs1
8 Shaft angle Σ

The input is to be done with following dialog box:

Geometry Dialog

Input of gear outer pitch diameter de2 is also requested as a dependent parameter de2 = met z2. Common practice is to round this outer pitch diameter while the spiral angle is slightly adapted. In the Gleason Metric System, profile height shift modification is applied to avoid root undercutting if number of teeth is less tthan 17 and thickness modification is applied to strengthen pinion teeth. In the Pd System the tooth proportions are determined width equations containing factors which are derived from tables. Input of spiral hand, selection of uniform bottom clearance and the limiting back and front planes for teeth are selected with radio buttons.

Input of face mill cutter radius rc0 which is to derive from a list in a dialog box for management of face mill tools. A list with standard Gleason face mill tools is supplied in a csv-file format with the program. Input of distances from crossing point is done as shown in next dialog:

Geometry Distances Dialog

Calculation result is shown in next figure:

Geometry Output Table

The calculation report can be exported in a .txt - or a .html file. The html file can be viewed with a browser. Click here to open a Calculation Report Geometry in a new blank page.

Go to the next web page to look for the gear forces.