Mathematical modelling for synthesis of spatial gears

Abstract

Spatial skew axes gears are used to transform rotation between shafts with non-parallel and nonintersecting axes. Principles of mathematical modelling of a tooth contact synthesis for this general gearing case are discussed in this paper. The research presented shows that the synthesis of a skew axes gear can be realized by application of two mathematical models: a pitch contact point approach and a mesh region model. These two approaches are applied to synthesis of spatial gear sets of the Spiroid and Helicon types.