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Model: B02 Curved Triangular Rotor in a Square Chamber
(Voigt/Reuleaux)
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Model Metadata
Taxonomy:
Voigt
Group:
Higher Element Pairs
ID:
B02
Title (English):
Curved Triangular Rotor in a Square Chamber
Title (German):
Gleichseitiges Bogendreieck im Quadrat
Creator:
Franz Reuleaux
Date Created:
1882-00-00
Manufacturer:
Gustav Voigt Werkstatt
Size:
Base: Width x Depth [238,245]mm; Overall: W x D x Height [238,257,472]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:
Reuleaux called the line or point contact between machine components "higher order pairs" in contrast to bodies in surface contact constraint. Here he constructed a curved triangle from an equilateral triangle with circular arcs whose centers are at the three vertices of the triangle. This figure is known as a "curve of constant width". While one's intuition might lead one to conclude that three points of contact of a plane figure would constrain the motion of the curved triangle in the square chamber, Reuleaux showed that it was possible for the object to rotate and slide since the three contact normals always meet at a point. Some mathematicians have called this constant breadth, curved triangle the 'Reuleaux triangle'. This area can rotate between two parallel surfaces while maintaining contact or rotate in a square (B2), or rhombus shaped bearing without losing contact. Applications of this principle can be found in the positive return cams of models L1-L6. Variations of the constant breadth triangle based on an odd sided polygon of equal sides can be found in Reuleaux's book. The seven sided British 20p and 50p coins are applications of this principle. They can roll in a coin machine as if they were circular yet have a distinctive shape between one's fingers. This model may have inspired the Wankel rotary engine used today in a popular sports car.
Descr Author:
Francis Moon
Descr Date:
2003-05-29
Image Metadata
Title:
B02. Curved Triangular Rotor in a Square Chamber
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/B02.jpg
Size (w x h):
256 x 384

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