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TECHNICAL PAPERS

Utilization of Synchronous Averaging for Inspection of Tooth Surface Undulations on Gears (Localization of Nonmesh Harmonic Components to Individual Gear)

[+] Author and Article Information
Haruo Houjoh

 Precision and Intelligence Laboratory, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama, Japanhhoujoh@pi.titech.ac.jp

Chanat Ratanasumawong

 Department of Precision Machinery Systems, Tokyo Institute of Technology, Tokyo, Japanchanat@ds.pi.titech.ac.jp

Shigeki Matsumura

 Precision and Intelligence Laboratory, Tokyo Institute of Technology, Tokyo, Japansmatsumu@pi.titech.ac.jp

J. Appl. Mech 74(2), 269-278 (Feb 08, 2006) (10 pages) doi:10.1115/1.2198248 History: Received November 12, 2004; Revised February 08, 2006

Cyclic undulation of the gear tooth surface is one of the important sources of gear noise and vibration. It has been known that vibration caused by this source can appear at the nonmesh harmonic frequency components (ghost components). As there are no relationships between the frequency of this vibration and any gear specifications, the gear noise source is hard to detect. This paper proposes the utilization of the synchronous averaging technique for diagnosis of the source of nonmesh harmonic vibration components on a gear pair, and shows the possibility of using this technique for inspection of tooth surface undulation. The method for practically applying this technique is discussed in detail. Results demonstrated in the form of spectrum showed good agreement with the undulation assessed from precise tooth surface measurement over the whole surface of every tooth. The effect of the direction of the arrangement of cyclic undulation on tooth surface and gear vibration is also discussed in this paper. Finally the limitation to the synchronous averaging technique was discussed with respect to gear ratio.

Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 2

Tooth profile forms

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Figure 3

Waterfall spectra of a gear pair

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Figure 4

Principle of synchronous averaging technique

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Figure 5

The effect of the averaging times to the amplitude reduction of random noise

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Figure 6

Synchronous averaging of signal that is asynchronous with trigger signal

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Figure 7

The effect of the times of averaging to the amplitude reduction of asynchronous signal at various phase angles

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Figure 8

Synchronous averaging of signal that is asynchronous with trigger signal (completely eliminated asynchronous signal)

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Figure 9

The effect of the number of averages on the amplitude reduction of the asynchronous signal, (a) driving trigger, (b) driven trigger

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Figure 10

Phase differences at various shaft orders; (a) driving trigger, (b) driven trigger

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Figure 11

Conventional spectral representation and synchronous averaged spectra of vibration at driven gear GTM2

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Figure 12

Synchronously averaged spectra of vibration at driven gear

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Figure 13

Two-dimensional tooth surface forms

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Figure 14

Spectra of tooth surface geometry

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Figure 15

The change of phase of surface undulation averaged along the line of contact

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