Parametrisches Stirnrad / Parametric Spur gear

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Parametric Involute Spur Gear Creates a spur gear with involute tooth profile without profile displacement following DIN 867 / DIN 58400. Two gears will mesh when their modules are the same and their helix angles are opposite. The centre distance of two meshing gears with module m and tooth numbers za and zb is m/2*(za + zb). Helical gears run more smoothly than gears with straight teeth, but they also create axial loads that must be absorbed by the bearings. Recommendations for the helix angle depending on the module can be found in DIN 3978. This script adjusts the pressure angle in the transverse section to match the helix angle: a 20° helix angle becomes a pressure angle of 21.17° in the transverse section. Format: stirnrad(modul, zahnzahl, breite, bohrung, eingriffswinkel, schraegungswinkel, optimiert) Parameters: modul = gear module = 25.4 / diametrical pitch = circular pitch / pi zahnzahl = number of teeth breite = face width bohrung = central bore diameter eingriffswinkel = pressure angle, standard value = 20° according to DIN 867 schraegungswinkel = helix angle to the rotation axis; 0° = straight teeth optimiert = create holes for material/weight reduction resp. surface increase, if geometry allows (= 1 if true)