Kinematic Synthesis of Rotary Machines Generated by Regular Curve Polygons

Abstract

The subject of this paper is the kinematic synthesis of volumetric rotary machines, also known as GeRotors (GEnerated ROTORs), which are based on the planetary motion of suitable regular curvepolygons. In particular, the outer and inner conjugate profiles of a generating regular curvepolygon with any number of lobes and different circumcircle and rounded corner radii were synthesized as envelope curves of the polycentric profiles. This also enabled a regular curvepolygon with cusp corners to be obtained, as in the case of the Reuleaux triangle. The proposed formulation was then implemented in a matlab code and validated by means of several significant examples of rotary machines.