Effects of Eccentricity on Transmission Errors of Trochoidal Gears

[+] Author and Article Information
Hiroyuki Ohta

Department of Mechanical Engineering,  Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka, Niigata, 940-2188, Japanohta@mech.nagaokaut.ac.jp

Ayumu Yamakawa

Department of Mechanical Engineering,  Graduate School, Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka, Niigata, 940-2188, Japan

Yoshitake Katayama

 Engineering Department, Kamo Seiko Corporation, 1166 Kamewari, Matsuki, Toyota, Aichi, 470-0424, Japan

J. Tribol 134(1), 011102 (Mar 06, 2012) (7 pages) doi:10.1115/1.4005645 History: Received May 10, 2011; Revised December 19, 2011; Published March 05, 2012; Online March 06, 2012

This article deals with the effects of eccentricity on transmission errors of trochoidal gears (consisting of a roller gear and cam gear). For the tests, three types of roller gears and three types of cam gears (which had different eccentricity) were used. The experimental results showed that the peak to peak values of transmission errors had a tendency to be greater under a larger eccentricity. The measured transmission error waveforms fluctuated with periods 1/fr , 1/fc and 1/zr fr (in which fr and fc are the rotational frequencies of the roller gears and cam gears, while zr is the number of rollers). The peaks with nfr (n = 1, 2, 3, …), nfc , nzr fr , nzr fr  ± mfr (m = 1, 2, 3, …) and nzr fr  ± mfc appeared in the measured transmission error spectra. The amplitudes of peaks with fr and nzr fr  ± mfr increased as er increased, while the amplitudes of peaks with fc and nzr fr  ± mfc increased as ec increased. The transmission errors of test gears with eccentricity were estimated by the multibody analysis (MBA). A reasonable correlation exits between the calculated results obtained by the MBA and the measured experimental results.

Copyright © 2012 by American Society of Mechanical Engineers
Topics: Gears , Errors , Rollers
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Figure 2

Amplitude and phase of eccentricity

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Figure 4

Initial positions of geometric and rotation centers

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Figure 5

Measured transmission error waveforms

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Figure 6

TEp-p versus total eccentricity

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Figure 7

Measured transmission error spectra

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Figure 9

Friction characteristics in revolute joint of rollers

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Figure 10

Friction characteristics between rollers and cam gear

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Figure 11

Calculated transmission error waveform and spectrum of non-eccentric gears

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Figure 12

Calculated transmission error waveforms of eccentric gears (test gears)

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Figure 13

Calculated transmission error spectra of eccentric gears (test gears)



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