A Study on the Synthesis of 2D Profiles for Cycloidal Discs Used in Cycloidal Reducers

Abstract This paper proposes a simple approach on the synthesis of the 2D profiles for the rotors of cycloidal reducers. A 2D rotor (or cycloidal disc) profile (as a complex closed curve) can be defined (as an alternative to the strictly mathematical definition) as the internal bordered envelope of the family of 2D profiles of the stator (or ring gear) obtained with the stator movable (for at least a completely rotation) around the fixed rotor (or planetary gear) by respecting the gearing conditions inside a cycloidal reducer. The more 2D profiles of the stator are used the more accurate definition of 2D rotor profile is obtained. The finding of x, and y-coordinates of the points involved in the description of this 2D rotor profile is by far the most complicated problem to solve in the manufacturing of this type of reducer, the behavior and performances of the cycloidal reducer drastically depends by the accuracy of this profile. The results of this study can be easy applied in practice.