Abstract
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.
Highlights
Worm gears are used in several types of drive systems like bevel, spiroid and hypoid drives
Tooth-shape errors can generally be described as a flaw or an inaccuracy of some manufacturing parameters or as a fault of the material in use
This brings the suggestion to add uncertainty to these manufacturing parameters, it is expedient to model them with random variables
Summary
Worm gears are used in several types of drive systems like bevel, spiroid and hypoid drives. Former approaches produced an explicit description for the flank, our approach results in a whole set of conceivable surfaces [3, 6, 10]. All dimensions and settings (hereafter manufacturing parameters) are taken as random variables These stochastic variables do not provide an explicit geometry but a set of conceivable flank shapes. Tooth-shape errors can generally be described as a flaw or an inaccuracy of some manufacturing parameters or as a fault of the material in use. This brings the suggestion to add uncertainty to these manufacturing parameters, it is expedient to model them with random variables. It is clear that errors can have many different characteristics, a proper classification should be made regarding the types of errors
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