A hypoid gear is the most complicated, and the most common type of gearing.
To design its dimensions, starting with the pitch surface with the aid of definition of the relative motion, geometrical analysis has to be preceded. It covers the features of meshing on the concave and convex tooth surfaces, i.e., the characteristics of the hypoid tooth contact.
When a manufacturer in Korea wants to produce a hypoid gear set, he has to ask for the information summary sheets describing the corresponding model dimensions, cutter specifications and machine setting values to the company such as, Gleason works or DANA, original makers of the hypoid gears in U.S.A.
Now the objectives of this study is aimed to finding out the details of design procedures of the hypoid gear set which they have not released so far.
Here, the geometrical design of hypoid gears consisting of more than 150 series of equations are derived, where the trial and error method is adopted, that is, the calculation procedure should be kept on until certain conditions are satisfied.
The comparison of the results obtained by the computer aided calculations and the informed data provided for the manufacturers has a satisfactory result.