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Model: R03 Spherical Cycloidal Rolling
(Voigt/Reuleaux)
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Model Metadata
Taxonomy:
Voigt
Group:
Cycloid Rolling Models
ID:
R03
Title (English):
Spherical Cycloidal Rolling
Title (German):
Kegelrollung, Axoide mit Bahnen von Punkten des beweglichen Kegels, Vollkegel, Verhältnis 1:3
Creator:
Franz Reuleaux
Date Created:
1882-00-00
Manufacturer:
Gustav Voigt Werkstatt
Size:
Base: Width x Depth [157,154]mm; Overall: W x D x Height [222,218,263]mm
Medium:
cast iron and brass on wood pedestal
Rights:
For educational use only. All rights reserved by the contributor(s) and publisher(s).
Audience:
General public
Keywords:
Description:
The R series embody mathematical principles of rolling cones on cones. In R-3 a brass cone rolls on the outer surface of another cone with diameter rario of 1:3. The spatial curves generated by the rolling of the cone are represented by curved brass rods. In effect the model represents Reuleaux's version of 3D mathematical graphics. In R-3, a point on the rim of the rolling cone generates three lobes in space corresponding to the ratio of the diameters of the cones at the edge. The rolling of a planar circle on another circle generates curves called epicycloids (traced by a point on the circumference). Reuleaux called the curves generated by rolling cones as spherical cycloids. These curves and motions can be found in modern applications of helical gear pairs.
Descr Author:
Francis Moon
Descr Date:
2004-10-25
Image Metadata
Title:
R03. Spherical Cycloidal Rolling
Rights:
Jon Reis/www.jonreis.com. Jon Reis Photography grants Cornell University Libraries, and the Cornell College of Engineering the rights to display copyrighted images of the Reuleaux Collection of Kinematic Mechanisms on the Cornell University and National Science Digital Library web sites and for unlimited use in Cornell University Library publications for education purposes only. Rights for all other uses such as editorial, advertising, web use and display by third parties not affiliated with Cornell University are reserved by the photographer.
Descr:
Date Created:
2005-01-19 11:02:16
URL:
http://kmoddl.library.cornell.edu/stillImages/small/R03.jpg
Size (w x h):
258 x 384

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