Original scientific paper

https://doi.org/10.31896/k.27.3

On the Geometry of Spherical Trochoids

Walther Jank ; TU Wien, Vienna, Austria
Georg Glaeser orcid.org/0000-0002-7265-5132 ; University of Applied Arts Vienna, Vienna, Austria
Boris Odehnal orcid.org/0000-0002-7265-5132 ; University of Applied Arts Vienna, Vienna, Austria *

* Corresponding author.

Abstract

We provide a synthetic study of the top-views of spherical trochoids. These projections turn out to be higher trochoids, i.e., curves generated by the superposition of more than two rotations. Special shapes of these trochoids show up for special choices of the spherical radii of the rolling circles. A relation to closed algebraic curves of constant width is shown. These curves allow for a kinematic generation.

Keywords

spherical trochoid; rolling; evolute; involute; curve of constant width

Hrčak ID:

311473

URI

https://hrcak.srce.hr/311473

Publication date:

21.12.2023.

Article data in other languages: croatian

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