In Gleason algorithm, the following calculation formula is recommended for the helix angle of hypoid gear and pinion:
Generally, the helix angle of the pinion of hypoid gear pair is about 50 °. Due to the influence of other parameters, the helix angle of the pinion cannot be completely equal to the nominal helix angle.
When the pitch cone angle of the hypoid gear pair is determined, the pitch radius 2R of the big gear can be determined, and the offset angle can be determined:
From this, the initial values of amplification factor and pinion pitch radius can be obtained:
From the pitch cone diagram of hypoid gear,
According to the geometric relationship:
The above two formulas can be solved simultaneously:
From the geometric relationship,
According to the design conditions provided by Gleason, the initial value of pinion offset angle of hypoid gear pair can be obtained by substituting the obtained parameter values:
