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Research Papers: Power Transmissions and Gearing

On the Generation of Analytical Noncircular Multilobe Internal Pitch Curves

[+] Author and Article Information
Jia Yan

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

Daniel C. Yang

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

Shih-Hsi Tong

Mechanical and Aerospace, Engineering Department, University of California, Los Angeles, CA 90095shihhsi@yahoo.com

J. Mech. Des 130(9), 092601 (Aug 11, 2008) (8 pages) doi:10.1115/1.2943298 History: Received October 06, 2006; Revised April 13, 2007; Published August 11, 2008

A method for the design of general analytical noncircular multilobe internal pitch curves is presented. The method is based on a reshaping algorithm. A selected monotonic function can be assigned as the initial profile for the outer rotor of the designed pitch curve. This initial function will be reshaped to satisfy the wholeness of the number of lobes. This final pitch curve function can then be obtained analytically. To archive smooth profile design, the C1 continuous conditions on pitch rotors are established. A dimensionless parameter geometrically interpreted as the noncircularity of pitch rotor is introduced for the systematic design of pitch curves. Results from this research have applications to the design of compressors, gerotor pumps, and rotary engines.

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Copyright © 2008 by American Society of Mechanical Engineers
Topics: Design
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References

Figures

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Figure 1

Internal pitch curves

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Figure 2

Gerotors with noncircular pitch curves

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Figure 3

Internal pitch curve

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Figure 4

Pitch curves from function 24

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Figure 5

Pitch curves from Eq. 28

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Figure 6

Pitch curves from initial function 31

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Figure 7

Pitch curves from function 43

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Figure 8

Pitch curves from function 48

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