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.
Issue Section:
Research Papers
Keywords:
gears,
inspection,
vibrations,
helical gear,
tooth surface geometry,
vibration,
inspection,
polar plot
1.
Mark
, W. D.
, 1978, “Analysis of the Vibratory Excitation of Gear Systems: Basic Theory
,” J. Acoust. Soc. Am.
0001-4966, 63
, pp. 1409
–1430
.2.
Mark
, W. D.
, 1979, “Analysis of the Vibratory Excitations of Gear Systems II: Tooth Error Representations, Approximations, and Applications
,” J. Acoust. Soc. Am.
0001-4966, 66
, pp. 1758
–1787
.3.
Kubo
, A.
, and Kiyono
, S.
, 1980, “Vibration Excitation of Cylindrical Involute Gears Due to Tooth Form Error
,” Bull. JSME
0021-3764, 23
(183
), pp. 1536
–1543
.4.
Sato
, T.
, Umezawa
, K.
, and Ishikawa
, J.
, 1983, “Effect of Contact Ratio and Profile Correction on Gear Rotational Vibration
,” Bull. JSME
0021-3764, 26
(221
), pp. 2010
–2016
.5.
Umezawa
, K.
, Sato
, T.
, and Kohno
, K.
, 1984, “Influence of Gear Errors on Rotational Vibration of Power Transmission Spur Gears (1st Report, Pressure Angle Error and Normal Pitch Error)
,” Bull. JSME
0021-3764, 27
(225
), pp. 569
–575
.6.
Umezawa
, K.
, and Sato
, T.
, 1985, “Influence of Gear Errors on Rotational Vibration of Power Transmission Spur Gears (2nd report, Wave Form Error)
,” Bull. JSME
0021-3764, 28
(243
), pp. 2143
–2148
.7.
Umezawa
, K.
, Suzuki
, T.
, and Houjoh
, H.
, 1988, “Estimation of Vibration of Power Transmission Helical Gears by Means of Performance Diagrams on Vibration
,” JSME Int. J., Ser. III
0914-8825, 31
(3
), pp. 598
–605
.8.
Wang
, S.
, Houjoh
, H.
, Matsumura
, S.
, and Umezawa
, K.
, 1998, “Investigation of the Dynamic Behavior of a Helical Gear System (3rd Report, Analysis and Evaluation Method for the Effect of Tooth Surface Form Deviations on Vibrations)
,” JSME Int. J., Ser. C
1340-8062, 64
(617
), pp. 324
–329
.9.
Lin
, H. H.
, Oswald
, F. B.
, and Townsend
, D. P.
, 1989, “Dynamic Loading of Spur Gears With Linear or Parabolic Tooth Profile Modifications
,” Proceedings of the ASME Fifth International Power Transmission and Gearing Conference
, Chicago, IL, pp. 409
–419
.10.
Lin
, H. H.
, Townsend
, D. P.
, and Oswald
, F. B.
, 1989, “Profile Modification to Minimize Spur Gear Dynamic Loading
,” Proceedings of the ASME Fifth International Power Transmission and Gearing Conference
, Chicago, IL, pp. 455
–465
.11.
Yoon
, K. Y.
, and Rao
, S. S.
, 1996, “Dynamic Load Analysis of Spur Gears Using a New Tooth Profile
,” ASME J. Mech. Des.
0161-8458, 118
, pp. 1
–6
.12.
Komori
, M.
, Kubo
, A.
, and Suzuki
, Y.
, 2003, “Simultaneous Optimization of Tooth Flank Form of Involute Helical Gears in Terms of Both Vibration and Load Carrying Capacity
,” JSME Int. J., Ser. C
1340-8062, 46
(4
), pp. 1572
–1581
.13.
Liu
, G.
and Parker
, R. G.
, 2008, “Dynamic Modeling and Analysis of Tooth Profile Modification for Multimesh Gear Vibration
,” ASME J. Mech. Des.
0161-8458, 130
, p. 121402
.14.
Amabili
, M.
, and Fregolent
, A.
, 1998, “A Method to Identify Modal Parameters and Gear Errors by Vibrations of a Spur Gear Pair
,” J. Sound Vib.
0022-460X, 214
(2
), pp. 339
–357
.15.
Özgüven
, H. N.
, and Houser
, D. R.
, 1988, “Dynamic Analysis of High Speed Gears by Using Loaded Static Transmission Error
,” J. Sound Vib.
0022-460X, 125
(1
), pp. 71
–83
.16.
Cai
, Y.
, 1995, “Simulation on the Rotational Vibration of Helical Gears in Consideration of the Tooth Separation Phenomenon (A New Stiffness Function of Helical Involute Tooth Pair)
,” ASME J. Mech. Des.
0161-8458, 117
, pp. 460
–469
.17.
Matsumura
, S.
, Umezawa
, K.
, and Houjoh
, H.
, 1996, “Rotational Vibration of a Helical Gear Pair Having Tooth Surface Deviation During Transmission of Light Load
,” JSME Int. J., Ser. C
1340-8062, 39
(3
), pp. 614
–620
.18.
Ratanasumawong
, C.
, Matsumura
, S.
, and Houjoh
, H.
, 2005, “Inspection of Tooth Surface Geometry by Means of Vibration Measurement (Assessment of Tooth Surface Undulation From Synchronous Averaged Signal and Application of Frequency Response Function)
,” JSME Int. J., Ser. C
1340-8062, 48
(4
), pp. 704
–714
.19.
Houjoh
, H.
, Ratanasumawong
, C.
, and Matsumura
, S.
, 2007, “Utilization of Synchronous Averaging for Inspection of Tooth Surface Undulations on Gears (Localization of Non-Mesh-Harmonic Components to Individual Gear)
,” ASME J. Appl. Mech.
0021-8936, 74
, pp. 269
–278
.20.
Hayashi
, I.
, and Hayashi
, T.
, 1977, “Representation of the Transmission Error of Gears Using Vector Charts
,” J. Jpn. Soc. Precis. Eng.
0374-3543, 43
(4
), pp. 349
–354
.21.
Hayashi
, I.
, and Hayashi
, T.
, 1977, “On the Estimation of an Amplitude of Tooth Separations of Gears During Rotation Using Vector Charts of Transmission Error
,” J. Jpn. Soc. Precis. Eng.
0374-3543, 43
(8
), pp. 892
–897
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