Transformation functions and trajectories of a hypocycloid mechanism completed with a dyad

Abstract

It starts from a planetary mechanism that generates hypocycloids and it is completed with an RPP dyad, so that transfer functions are generated, i.e. races along the x and y directions. Different hypocycloids (normal, elongated, shortened) are generated and transfer functions are established for these cases. The obtained curves and transfer functions are discussed, establishing some conclusions. All study includes various range of lengths for the cinematic links so the important and interesting trajectories are found. The related transfer functions can be used in a diversity of applications. These findings are useful for special devices for automatic lathes, horizontal forging machines, textile machinery, and kinetic art.