GIELIS’ TRANSFORMATION AS POTENTIAL APPLICATION FOR CONVEX BILOBE CENTRODES

Abstract

In this paper a potential technical application is mentioned, i.e. a non-circular gears train whose pinion pitch curve belongs to the Gielis complex shapes family. In order to insert a Gielis’ supershape in the gear theory, the influence of its defining parameters is examined by taking into account i) the conjugated pitch curves geometry and induced gear ratio variation and ii) the pressure angle variation, as an indicator of the motion transmission. Since there are eight parameters involved - the Gielis transformation parameters and the specific gears parameters, highly enlarging the study’s hypotheses, the analysis is restricted to bi-lobes gears, with close pitch curves. The analysis results could inspire the non-circular gears designers who are looking for a certain variable gears kinematics.