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Article

Similarity and Equivalence of Nutating Mechanisms to Bevel Epicyclic Gear Trains for Modeling and Analysis

[+] Author and Article Information
Carl A. Nelson, Raymond J. Cipra

School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47907-2088

J. Mech. Des 127(2), 269-277 (Mar 25, 2005) (9 pages) doi:10.1115/1.1829068 History: Received August 09, 2003; Revised April 22, 2004; Online March 25, 2005
Copyright © 2005 by ASME
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Figures

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(a) The wobble gear and (b) its functional representation
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Wobble-plate compressor2
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Two-cam mechanism and its acceleration-equivalent four-bar
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Sun-ring-planet epicyclic spur-gear train
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Humpage epicyclic bevel-gear train
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Kinematic similarity of Humpage bevel-gear train and planar sun-ring-planet train (S1)
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Humpage bevel-gear train and its kinematically similar spur-gear train (S1)
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Sun-ring-planet spur-gear train and its kinematically similar bevel-gear train (S1)
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Harmonic drive with kinematically similar planar epicyclic train (S1)
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Kinematic similarity of the wobble gear to a planar gear train with a large planet (S1)
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Kinematic similarity of the wobble gear and harmonic drive (S1)
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Kinematic similarity of the wobble gear and the Humpage train (S2)
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Modified Humpage trains used for modeling of wobble gear: (a) train with tooth-number constraint satisfied (S1) and (b) equivalent train with all geometric constraints satisfied (S0)
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Side view of wobbling member (with mating gear) in (a) position ϕ=0, h=hmax and (b) position ϕ=π/2, h=0

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