A proposed solution to reducing gear mesh-frequency vibrations in a gear-set involves the utilization of hydrostatic bearings placed in series, load wise, with the main support bearing. The hydrostatic bearings are expected to utilize its low pass filtering effect of the vibrational energies to prevent its transmission from the shaft to the gear housing where it would be emitted as noise. The present investigation examines the frequency response of a single-recess circular hydrostatic bearing under applied sinusoidal loads. The results show that as the driving frequency increases, the filtering effect of the hydrostatic bearing increases. The exhibited behavior is similar to the behavior of a low pass filter: negligible filtering effect at low frequencies, the filtering effect increasing from 0% to 90% over the midfrequencies range and the filtering effect remaining at the maximum value as the frequencies of the applied signals continue to increase. This observed behavior is expected to play a central role in the proposed gear mesh-frequency vibration mitigation system.

References

1.
Smith
,
J. D.
,
1983
,
Gears and Their Vibration: A Basic Approach to Understanding Gear Noise
,
Macmillan Press
,
New York
, pp.
170
.
2.
Litvin
,
F. L.
, and
Fuentes
,
A.
,
2004
,
Gear Geometry and Applied Theory
, 2nd ed.,
Cambridge University Press
,
New York
, pp.
800
.
3.
Houser
,
D. R.
,
2007
, “
Gear Noise and Vibration Prediction and Control Methods
,”
Handbook of Noise and Vibration Control
,
M. J.
Crocker
, ed.,
Wiley
,
Hoboken, NJ
, pp.
847
856
.
4.
Zaretsky
,
E. V.
,
1999
,
STLE Life Factors for Rolling Bearings
, 2nd ed.,
Society of Tribologists and Lubrication Engineers
,
Park Ridge, IL
.
5.
Brown
,
G. M.
,
1961
, “
The Dynamic Characteristics of a Hydrostatic Thrust Bearing
,”
Int. J. Mach. Tool Des. Res.
,
1
(
1
), pp.
157
171
.10.1016/0020-7357(61)90050-6
6.
Adams
,
M. L.
, and
Shapiro
,
W.
,
1969
, “
Squeeze Film Characteristics in Flat Hydrostatic Bearings With Incompressible Flow
,”
Tribology
,
12
(
3
), pp.
183
189
.10.1080/05698196908972260
7.
Bouzidane
,
A.
, and
Thomas
,
M.
,
2007
, “
Equivalent Stiffness and Damping Investigation of a Hydrostatic Journal Bearing
,”
Tribol. Trans.
,
50
(
2
), pp.
257
267
.10.1080/10402000701309745
8.
Rohde
,
S. M.
, and
Ezzat
,
H. A.
,
1976
, “
Dynamic Behavior of Hybrid Journal-Bearings
,”
ASME J. Tribol.
,
98
(
1
), pp.
90
94
.10.1115/1.3452788
9.
Ghosh
,
M. K.
, and
Viswanath
,
N. S.
,
1987
, “
Recess Volume Fluid Compressibility Effect on the Dynamic Characteristics of Multirecess Hydrostatic Journal Bearings With Journal Rotation
,”
ASME J. Tribol.
,
109
(
3
), pp.
417
426
.10.1115/1.3261462
10.
Ghosh
,
M. K.
,
Guha
,
S. K.
, and
Majumdar
,
B. C.
,
1989
, “
Rotordynamic Coefficients of Multirecess Hybrid Journal Bearings
,”
Wear
,
129
(
2
), pp.
245
259
.10.1016/0043-1648(89)90262-7
11.
Andres
,
L. A. S.
,
1991
, “
Effects of Fluid Compressibility on the Dynamic Response of Hydrostatic Journal Bearings
,”
Wear
,
146
(
2
), pp.
269
283
.10.1016/0043-1648(91)90068-6
12.
Pollmann
,
E.
, and
Vermeulen
,
M.
,
1989
, “
Compressibility and Inertia Effects on the Dynamic Behavior of Recessed Hydrostatic Bearings
,”
Tribol. Int.
,
22
(
3
), pp.
166
176
.10.1016/0301-679X(89)90154-0
13.
Zulkefli
,
Z. A.
,
2013
, “
Mitigation of Gear Mesh-Frequency Vibrations Using a Hydrostatic Bearing
,” Ph.D. thesis, Case Western Reserve University, Cleveland, OH.
14.
Rippel
,
H. C.
,
1963
, “
Cast Bronze Hydrostatic Bearing Design Manual
,”
Cast Bronze Bearing Institute
,
Cleveland, OH
, pp.
75
.
15.
Thomas
,
G. B.
,
1957
,
Calculus
,
Addison-Wesley
,
Reading, MA
, pp.
692
.
16.
Zulkefli
,
Z.
, and
Adams
,
M. L.
,
2014
, “
Experimental Investigation of the Low Pass Filtering Effect of a Hydrostatic Bearing
,”
SAE
Technical Paper No. 2014-01-1758. 10.4271/2014-01-1758
You do not currently have access to this content.