Comparison of Hypotrochoidal and Epitrochoidal Gerotors

[+] Author and Article Information
J. E. Beard

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70703

A. S. Hall, W. Soedel

School of Mechanical Engineering, Purdue University, West Lafayette, IN

J. Mech. Des 113(2), 133-141 (Jun 01, 1991) (9 pages) doi:10.1115/1.2912761 History: Received June 01, 1990; Online June 02, 2008


The planar rotary mechanisms, by virtue of its volume changing ability can be used as a pump, engine, or compressor. Most of the types of rotary mechanisms used today, from the Wankel rotary engine to the gerotor pump, are based on epitrochoidal generation and its conjugate shape. This paper presents a very general mathematical relationship for a generating arc traveling on a hypotrochoidal path and also compares the flow rate, pocket displacement, and compression ratios of the hypotrochoidal and epitrochoidal generated profiles.

Copyright © 1991 by The American Society of Mechanical Engineers
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