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.
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36th Mechanisms and Robotics Conference
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