The influence of involute contact ratio on the torsional vibration behavior of a spur gear pair is investigated experimentally by measuring the dynamic transmission error of several gear pairs using a specially designed gear test rig. Measured forced response curves are presented, and harmonic amplitudes of dynamic transmission error are compared above and below gear mesh resonances for both unmodified and modified gears having various involute contact ratio values. The influence of involute contact ratio on dynamic transmission error is quantified and a set of generalized, experimentally validated design guidelines for the proper selection of involute contact ratio to achieve quite gear systems is presented. A simplified analytical model is also proposed which accurately describes the effects of involute contact ratio on dynamic transmission error.

Issue Section:
Research Papers
Topics:
Dynamics (Mechanics), Spur gears, Gears, Errors, Design, Resonance, Vibration
1.
Blankenship
 
G. W.
, and
Kahraman
 
A.
,
1995
, “
Steady State Forced Response of A Mechanical Oscillator With Combined Parametric Excitation and Clearance Type Non-linearity
,”
Journal of Sound and Vibration
, Vol.
185
, pp.
743
–
765
.
2.
Blankenship, G. W., and Kahraman, A., 1996, “Gear Dynamics Experiments, Part-I: Characterization of Forced Response,” ASME Power Transmission and Gearing Conference, San Diego, California, pp. 373–380.
3.
Blankenship
 
G. W.
, and
Singh
 
R.
,
1995
, “
Analytical Solution for Modulation Sidebands Associated with a Class of Mechanical Oscillators
,”
Journal of Sound and Vibration
, Vol.
179
, pp.
13
–
36
.
4.
Harris
 
S. L.
,
1958
, “
Dynamic Loads on the Teeth of Spur Gears
,”
Proceedings of the Institution of Mechanical Engineers
, Vol.
172
, pp.
87
–
112
.
5.
Kahraman
 
A.
, and
Blankenship
 
G. W.
,
1996
, “
Interactions Between Commensurate Parametric and Forcing Excitations in a System with Clearance
,”
Journal of Sound and Vibration
, Vol.
194
, pp.
317
–
336
.
6.
Kahraman
 
A.
, and
Blankenship
 
G. W.
,
1997
, “
Experiments on Nonlinear Dynamic Behavior of an Oscillator with Clearance and Periodically Time-Varying Parameters
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
64
, pp.
217
–
226
.
7.
Kahraman
 
A.
, and
Singh
 
R.
,
1991
, “
Interactions between Time-varying Mesh Stiffness and Clearance Non-linearities in a Geared System
,”
Journal of Sound and Vibration
, Vol.
146
, pp.
135
–
156
.
8.
Kubo, A., 1981, “Estimation of Gear Performance,” Proceedings of the International Symposium on Gearing and Power Transmissions, Tokyo, c-34.
9.
Kubo
 
A.
, and
Kiyono
 
S.
,
1980
, “
Vibration Excitation of Cylindrical Involute Gears due to Tooth Form Error
,”
Bulletin of the JSME
, Vol.
23
, pp.
1536
–
1543
.
10.
Liou
 
C. H.
,
Lin
 
H. H.
,
Oswald
 
F. B.
, and
Townsend
 
D. P.
,
1996
, “
Effect of Contact Ratio on Spur Gear Dynamic Load with No Tooth Profile Modifications
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
118
, pp.
439
–
443
.
11.
Oppenheim, A. V., and Schafer, R. S., 1975, Digital Signal Processing, Prentice-Hall, New Jersey.
12.
Ozguven
 
H. N.
, and
Houser
 
D. R.
,
1988
, “
Dynamic Analysis of High Speed Gears by Using Loaded Static Transmission Error
,”
Journal of Sound and Vibration
, Vol.
125
, pp.
71
–
83
.
13.
Remmers
 
E. P.
,
1978
, “
Gear Mesh Excitation Spectra for Arbitrary Tooth Spacing Errors, Load, and Design Contact Ratio
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
10
, pp.
715
–
722
.
14.
Umezawa
 
K.
,
Suzuki
 
T.
,
Houjoh
 
H.
, and
Sato
 
T.
,
1985
, “
Vibration of Power Transmission Helical Gears (The Effect of Contact Ratio on the Vibration)
,”
Bulletin of the JSME
, Vol.
28
, pp.
694
–
700
.
15.
Umezawa
 
K.
,
Suzuki
 
T.
, and
Sato
 
T.
,
1986
, “
Vibration of Power Transmission Helical Gears (Approximate Equation of Tooth Stiffness)
,”
Bulletin of the JSME
, Vol.
29
, pp.
1605
–
1611
.
16.
Umezawa
 
K.
,
Suzuki
 
T.
, and
Houjoh
 
H.
,
1988
, “
Estimation of Vibration of Power Transmission Helical Gears by Means of Performance Diagrams on Vibration
,”
JSME International Journal, Series III
, Vol.
31
, pp.
598
–
605
.
This content is only available via PDF.
Copyright © 1999
 by The American Society of Mechanical Engineers
You do not currently have access to this content.