Kinematic synthesis of rotary machines generated by regular curve polygons

This paper deals with the kinematic synthesis of volumetric rotary machines, which are generated by the planetary motion of regular curve-polygons. In particular, the synthesis of both outer and inner conjugate profiles has been formulated as envelope of the polycentric profiles of a generating regular curve-polygon with any number of lobes, different radii of the circumcircle and rounded corners. A regular curve-polygon with cusp corners can be obtained as a particular case, like the Reuleaux triangle. Finally, the proposed formulation has been implemented in a Matlab code and several examples are reported.