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Technical Briefs

Unified Approach to Cycloid Drive Profile, Stress, and Efficiency Optimization

[+] Author and Article Information
Jonathon W. Sensinger

Department of Physical Medicine and Rehabilitation, Northwestern University, 345 E. Superior Street, Chicago, IL 60611; Neural Engineering Center for Artificial Limbs, Rehabilitation Institute of Chicago, 345 E. Superior Street, Chicago, IL 60611sensinger@ieee.org

J. Mech. Des 132(2), 024503 (Feb 09, 2010) (5 pages) doi:10.1115/1.4000832 History: Received March 09, 2009; Revised December 04, 2009; Published February 09, 2010; Online February 09, 2010

Cycloid drives are compact, efficient speed reducers. In this paper, a unified set of equations is presented to optimize their design. The conceptual framework and profile design are described. Sources and effects of tolerance are then introduced, including profile reduction, backlash and torque ripple, and maximum gear-ratio. Equations for stress, efficiency, and moment of inertia are provided.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Main components in a cycloid drive

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Figure 2

Conceptualization of cycloid disk profile: (a) the profile may be visualized by tracing a point on a generating circle as it rolls around a base circle, (b) a point inside of the generating circle is used to avoid undercutting, and (c) the roller radius is subtracted from the resulting trajectory to create the disk profile (outline of dark gray area)

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Figure 3

Cycloid disk profile may be reduced to account for tolerance by increasing Rr or reducing R: these adjustments result in a different inflection between the peaks

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Figure 4

Efficiency and stress increase as output-hole radius decreases and distance from center increases

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Figure 5

Cycloid drives have high efficiency independent of torque: the calculated efficiency of cycloid drives can be significantly higher than harmonic drives and planetary gears

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