Modelling tooth-shape errors using random variables

The development of the industry consecutively requires more exact and more efficient power transmission techniques. In order to create efficiently meshing gears it is mandatory to manufacture the gears with accurate geometrical shape. This is especially true for worm gears in hypoid or in spiroid drives. Former approaches were focusing on the properties of geometrically ideal worm gears. Taking manufacturing limitations into account the ideal shape is not the case of real gears. The authors´ indication is that these inaccuracies should not be neglected. Accordingly the goal of our study is to work out an adaptable mathematical approach for handling the shape errors of worm gears.