An Analysis of Epitrochoidal Profiles With Constant Difference Modification Suitable for Rotary Expanders and Pumps

[+] Author and Article Information
F. J. Robinson, J. R. Lyon

School of Engineering, Lakehead University, Thunder Bay, Ontario, Canada

J. Eng. Ind 98(1), 161-165 (Feb 01, 1976) (5 pages) doi:10.1115/1.3438810 History: Received May 22, 1975; Online July 15, 2010


Epitrochoidal curves modified by constant difference increments and their associated inner and outer envelopes may be defined in terms of four parametric equations in Cartesian coordinates. Four basic constants are required to specify a given epitrochoid and its envelope; use is made of a digital computer program to plot examples. Curves which are useful as profiles for rotary expanders and pumps are discussed, together with the limits of the constant difference modification that can be applied. Some apparently unrelated machine profiles may be defined in terms of the basic constants discussed using the parametric equations. Examples of such machines are illustrated.

Copyright © 1976 by ASME
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