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Mechanical model
Rolling Cones with Point Paths for 1:3 Diameter Ratio
Kegelrollung, Axoide mit Punktbahnen, Hohl- und Vollkegel, Verhältnis 1:3
The rolling of one circle on another in the plane produces epicycloid and hypocycloid point-paths. In this model, the rolling of non-planar circles is produced by the rolling of one cone inside another cone with a diameter ratio of 1:3. A point on the moving cone traces out a closed spatial curve or point path with three lobes. Similar point paths can be seen in models R- 3, and R-7. Point paths of non-planar rolling circles are important in the design of bevel gears, whose motion is equivalent to that of rolling cones. [Francis Moon 2004-10-25]
Sibley School of Mechanical and Aerospace Engineering, Cornell University
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The Kinematic Models for Design Digital Library (KMODDL). Cornell University. (released 2003).
Gustav Voigt Werkstatt
Photography credit: Jon Reis ( Jon Reis Photography grants Cornell University Libraries and the Cornell College of Engineering the rights to display copyrighted images of the Reuleux collection of kinetic machines 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, including but not limited to, editorial, commercial, advertising, web use and display by third parties not affiliated with Cornell University are reserved by the photographer.
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