Spherical Hypocycloids and a Technical Application: Spherical Hypocycloidal Automatic Machines for Cold Forming
Journal Title: RECENT - Year 2012, Vol 13, Issue 34
Abstract
Plane hypocycloidal automatic machines, which form an entire family, are a Romanian original concept developed at Transilvania University of Brasov. Recent researches have enhanced the concept development towards a very diverse new sub-group, the spatial spherical hypocycloidal automata. In the main kinematic chain of these machines, a planetary gear with conical wheels is included, generating spatial spherical (hypo)cycloidal trajectories, as transformation mechanism of the rotation motion of the main shaft, in rectilinear-alternative translation movements, with periodical and temporary self-return of the slide-blocks. The paper herein sets out to submit the theoretical basis for determining the kinematic parameters of these machines, namely the space, speed and acceleration expressions of the slide-blocks. To this purpose, one must know the equation of the spatial spherical (hypo)cycloid. The class of the equatorial spherical hypocycloidal automatic machines is pre-eminently targeted, deemed the most adequate for practical applications.
Authors and Affiliations
Romeo CIOARÄ‚
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