Cycloidal motions have many applications in mechanical engineering. The multi-lobed epicycloid has sharply pointed cusps; therefore, a machine element performing an epicyclic motion can be utilized for performing operations requiring a corresponding action, like folding of flexible materials or feeding of components from a stack. A speed reducer, distinguished by extreme compactness, is based on the use of an epitrochoidal cam. Linkages which perform approximately straight-line motions can be designed so that they approximate the motion of the center of the generating circle of an orthocycloid.
Some Applications of the Cycloid in Machine Design
E. P. Pollitt
Armour Research Foundation, Chicago, Ill.
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Pollitt, E. P. (November 1, 1960). "Some Applications of the Cycloid in Machine Design." ASME. J. Eng. Ind. November 1960; 82(4): 407–414. https://doi.org/10.1115/1.3664265
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