Parametric geometric modeling of the theoretical profiles of worm and hollow wheels

A parametric model to represent the profiles of ZA, ZI and ZK-types worms and a hollow wheel in the transverse plane (plane normal to the axis of the worm) has been developed, based on their characteristics. The profiles represented by a relatively fine meshing are more representative and can be used to generate wheels and worms more easily under the CAD and the finite element software’s. As a result, these models can be useful in rapid prototyping to manufacture worm gears according to the perfect theoretical model.