0
Research Papers

A New Gerotor Design Method With Switch Angle Assignability

[+] Author and Article Information
Jia Yan

Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA 90095jiayan@ucla.edu

Daniel C. H. Yang

Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA 90095dyang@seas.ucla.edu

Shih-Hsi Tong

Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA 90095shihhsi@seas.ucla.edu

J. Mech. Des 131(1), 011006 (Dec 15, 2008) (8 pages) doi:10.1115/1.3013442 History: Received April 13, 2008; Revised July 30, 2008; Published December 15, 2008

Gerotor is generated by an oval shape generating curve, which is attached to a large pitch circle rolling on an inside smaller one. For gerotor design, existing methods are able to handle arc-based generating curves with switch angle assignability. However, when dealing with nonarc-based generating curves, the current methods do not provide switch angle assignability. The switch angle is an important parameter in gerotor kinematics; it determines the angular conjugating range on the generating curve and affects the rotor profile. In this paper, we developed a deviation-function-based design method. By using this method, users can design and directly assign switch angles to both arc- and nonarc-based gerotors. Analytical formulations of both generating and gerotor profiles are derived and summarized into a detailed algorithm in design steps. Some designed gerotor examples using our method are provided for design and process illustration.

FIGURES IN THIS ARTICLE
<>
Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Generating curves and gerotors: (a) gerotor generated by a point and (b) gerotor generated by a curve

Grahic Jump Location
Figure 2

Deviation-function method

Grahic Jump Location
Figure 3

Generating curve g1

Grahic Jump Location
Figure 4

Gerotor profile g2 (generated curve)

Grahic Jump Location
Figure 5

Cusps on the gerotor profile

Grahic Jump Location
Figure 6

Undercut curve g3

Grahic Jump Location
Figure 7

Generation of the conjugated rotor g3

Grahic Jump Location
Figure 8

Gerotors and their conjugate rotors from the e1 of a fourth order polynomial

Grahic Jump Location
Figure 9

Gerotors and their conjugate rotors from the e1 of a cosine function

Grahic Jump Location
Figure 10

Deviation function e1 for a circular generating curve g1

Grahic Jump Location
Figure 11

Gerotors and their conjugate rotors from a circular generating curve

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In