A one-degree-of-freedom model of geared transmissions is set up. It incorporates the influence of unsteady rotations due to engine speed fluctuations along with simplified time-varying mesh stiffness functions, including contact losses between the teeth and back strikes. The dynamic tooth loads are determined by several analytical and numerical techniques whose results agree well. Finally, some of the response characteristics due to speed fluctuations are presented and commented upon.

1.
Ozgüven
,
H. N.
, and
Houser
,
D. R.
, 1988, “
Mathematical Models Used in Gear Dynamics: A Review
,”
J. Sound Vib.
,
121
, pp.
383
411
. 0022-460X
2.
Oswald
,
F. B.
,
Rebbechi
,
B.
,
Zakrajsek
,
J. J.
,
Townsend
,
D. P.
, and
Lin
,
H. H.
, 1996, “
Dynamic Forces in Spur Gears-Measurement, Prediction and Code Validation
,”
NASA
Technical Report No. TM-107223.
3.
Kahraman
,
A.
,
Ozgüven
,
H. N.
,
Houser
,
D. R.
, and
Zakrajsek
,
J.
, 1992, “
Dynamic Analysis of Geared Rotors by Finite Elements
,”
ASME J. Mech. Des.
0161-8458,
114
, pp.
507
514
.
4.
Raclot
,
J.-P.
, and
Velex
,
P.
, 1999, “
Simulation of the Dynamic Behaviour of Single and Multi-Stage Geared Systems With Shape Deviations and Mounting Errors by Using a Spectral Method
,”
J. Sound Vib.
0022-460X,
220
(
5
), pp.
861
903
.
5.
Baud
,
S.
, and
Velex
,
P.
, 2002, “
Static and Dynamic Tooth Loading in Spur and Helical Geared Systems: Experiments and Model Validation
,”
ASME J. Mech. Des.
0161-8458,
124
(
2
), pp.
334
346
.
6.
Gregory
,
R. W.
,
Harris
,
S. L.
, and
Munro
,
R. G.
, 1963, “
Torsional Motion of a Pair of Spur Gears
,”
Proc. Inst. Mech. Eng.
0020-3483,
178
, pp.
166
173
.
7.
Mark
,
W. D.
, 1978, “
Analysis of the Vibratory Excitation of Gear Systems: Basic Theory
,”
J. Acoust. Soc. Am.
0001-4966,
63
(
5
), pp.
1409
1450
.
8.
Velex
,
P.
, and
Ajmi
,
M.
, 2006, “
On the Modelling of Excitations in Geared Systems by Transmissions Errors
,”
J. Sound Vib.
0022-460X,
290
(
3–5
), pp.
882
909
.
9.
Velex
,
P.
, and
Maatar
,
M.
, 1996, “
A Mathematical Model for Analyzing the Influence of Shape Deviations and Mounting Errors on Gear Dynamic Behaviour
,”
J. Sound Vib.
0022-460X,
191
(
5
), pp.
629
660
.
10.
Singh
,
R.
,
Xie
,
H.
, and
Comparin
,
R. J.
, 1989, “
Analysis of Automotive Neutral Gear Rattle
,”
J. Sound Vib.
0022-460X,
131
(
2
), pp.
177
196
.
11.
Comparin
,
R. J.
, and
Singh
,
R.
, 1989, “
Non-Linear Frequency Response Characteristics of an Impact Pair
,”
J. Sound Vib.
0022-460X,
134
(
2
), pp.
259
290
.
12.
Blankenship
,
G. W.
, and
Kahraman
,
A.
, 1995, “
Steady State Forced Response of a Mechanical Oscillator With Combined Parametric Excitation and Clearance Type Non-Linearity
,”
J. Sound Vib.
0022-460X,
185
(
5
), pp.
743
765
.
13.
Pfeiffer
,
F.
, 1996, “
Rattling in Gears: A Review
,”
VDI-Ber.
,
1260
, pp.
719
737
. 0083-5560
14.
Kahraman
,
A.
, and
Blankenship
,
G. W.
, 1997, “
Experiments on Nonlinear Dynamic Behavior of an Oscillator With Clearance and Periodically Time-Varying Parameters
,”
ASME J. Appl. Mech.
0021-8936,
64
, pp.
217
226
.
15.
Couderc
,
P.
,
Callenaere
,
J.
,
Der Hagopian
,
J.
, and
Ferraris
,
G.
, 1998, “
Vehicle Driveline Dynamic Behaviour Experiment and Simulation
,”
J. Sound Vib.
,
218
(
1
), pp.
133
157
. 0022-460X
16.
Parker
,
R. G.
,
Vijayakar
,
S. M.
, and
Imajo
,
T.
, 2000, “
Non-Linear Dynamic Response of a Spur Gear Pair: Modeling and Experimental Comparisons
,”
J. Sound Vib.
0022-460X,
237
(
3
), pp.
435
455
.
17.
Wang
,
J.
,
Li
,
R.
, and
Peng
,
X.
, 2003, “
Survey of Nonlinear Vibration of Gear Transmission Systems
,”
Appl. Mech. Rev.
0003-6900,
56
(
3
), pp.
309
329
.
18.
Barthod
,
M.
,
Hayne
,
B.
,
Tébec
,
J.-L.
, and
Pin
,
J.-C.
, 2007, “
Experimental Study of Gear Rattle Excited by a Multi-Harmonic Excitation
,”
Appl. Acoust.
,
68
, pp.
1003
1028
. 0003-682X
19.
Ligier
,
J.-L.
, and
Baron
,
E.
, 2002, “
Acyclisme et vibrations: Applications aux moteurs thermiques et aux transmissions—1. Notions de Base—2. Analyse avancées et expérimentales
,”
Editor Technip
,
Paris
.
20.
Küçükay
,
F.
, 1984, “
Dynamic Behaviour of High Speed Gears
,”
Proceedings of the Third International Conference on Vibrations in Rotating Machinery
,
Heslington, UK
, pp.
81
90
.
21.
Velex
,
P.
,
Maatar
,
M.
, and
Raclot
,
J.-P.
, 1997, “
Some Numerical Methods for the Simulation of Geared Transmission Dynamic Behavior: Formulation and Assessment
,”
ASME J. Mech. Des.
0161-8458,
119
, pp.
292
298
.
You do not currently have access to this content.