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Research Papers

Estimating Gear Tooth Surface Geometry by Means of the Vibration Measurement: Distinction of the Vibration Characteristics of Gears With Tooth Surface Form Error

[+] Author and Article Information
Chanat Ratanasumawong

Department of Mechanical Engineering, Chulalongkorn University, Patumwan, Bangkok 10330, Thailandchanat.r@eng.chula.ac.th

Shigeki Matsumura

Precision and Intelligence Laboratory, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama 226-8503, Japansmatsumu@pi.titech.ac.jp

Tetsuo Tatsuno

 Asano Gear Co., Ltd., 4-1402-1 Higashiikejiri, Osakasayama City, Osaka 589-0004, Japan

Haruo Houjoh

Precision and Intelligence Laboratory, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama 226-8503, Japanhhoujoh@pi.titech.ac.jp

J. Mech. Des 131(10), 101003 (Sep 02, 2009) (9 pages) doi:10.1115/1.3184692 History: Received June 25, 2008; Revised June 05, 2009; Published September 02, 2009

Tooth surface measurement is an important way to verify the quality of produced gears. To reduce inspection time and cost, only a few tooth profiles and traces on some teeth are inspected. Measured data are not likely representatives of all gear teeth because errors may occur in assembly procedure and affect tooth contact condition. Frequently, tooth surface measuring data cannot show contact condition and used to predict gear vibration accurately. Field inspection method whose measured results relate directly to the meshing condition is required. This paper derives the relationship between meshing vibration components and the common gear tooth surface geometries of helical gears. The tooth surface geometries considered here are lead crowning, profile convex, pressure angle error, and bias-in modification. The polar plot representation, which plots meshing components in a complex plane, is proposed here to distinguish vibration characteristics of gears with various tooth surface forms. It is found that the vector of the second order of meshing component is valuable for classifying the type of tooth surface geometry.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 3

Tooth surface geometries of test gears (profile convex, lead crowning, and pressure angle error)

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Figure 4

Tooth surface geometries of the bias-in gear

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Figure 5

Meshing vibration waveforms

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Figure 6

Experimental results (lead crowning 5 μm)

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Figure 7

Experimental results (pressure angle error and bias-in)

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Figure 8

Polar plot representation

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Figure 9

Polar plots of lead crowning and profile convex gears (1800 rpm)

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Figure 10

Polar plots of pressure angle error gears and bias-in gear (1800 rpm)

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Figure 11

Polar plots of various gears at specific torques

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Figure 12

Tooth profile forms of some test gears

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Figure 13

Actual tooth bearing patterns of test gears

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Figure 14

Polar plots of some test gears (1400 rpm)

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