Abstract

Nonlinear vibration, a main factor affecting the dynamic stability, widely exists in the transmission system. In addition, geometric eccentricities caused by the manufacturing errors are inevitable in the gear transmission system, which may lead to the excessive nonlinear vibration. In order to suppress the nonlinear vibration under the excitation of the geometric eccentricities, a rigid–flexible gear pair consisting of the ring gear, the composite material, and the hub is proposed in this study. A dynamic model with nine degrees-of-freedom which considers geometric eccentricities is proposed to analyze the nonlinear dynamic characteristics of the rigid–flexible gear pair. Furthermore, the dynamic characteristics of the rigid–flexible gear pair and the rigid gear pair are compared within a wide range of operating conditions. The comparative analysis demonstrates that the rigid–flexible gear pair has better vibration suppression effect on the system.

References

1.
Chen
,
M. H.
, and
Brennan
,
M. J.
,
2000
, “
Active Control of Gear Vibration Using Specially Configured Sensors and Actuators
,”
Smart Mater. Struct.
,
9
(
3
), pp.
342
350
.10.1088/0964-1726/9/3/315
2.
Aleš
,
T.
,
2008
, “
Passive and Active Means for Self-Excited Vibration Suppressing: Two-Mass Model
,”
Eng. Mech.
,
2
, pp.
133
138
.http://www.engineeringmechanics.cz/pdf/15_2_133.pdf
3.
El-Sayed
,
A. T.
, and
Bauomy
,
H. S.
,
2015
, “
Passive and Active Controllers for Suppressing the Torsional Vibration of Multiple-Degree-of-Freedom System
,”
J. Vib. Control
,
21
(
13
), pp.
2616
2632
.10.1177/1077546313514762
4.
Yassine
,
D.
,
Ahmed
,
H.
,
Lassaad
,
W.
, and
Mohamed
,
H.
,
2014
, “
Effects of Gear Mesh Fluctuation and Defaults on the Dynamic Behavior of Two-Stage Straight Bevel System
,”
Mech. Mach. Theory
,
82
, pp.
71
86
.10.1016/j.mechmachtheory.2014.07.013
5.
Liu
,
G.
, and
Parker
,
R. G.
,
2009
, “
Impact of Tooth Friction and Its Bending Effect on Gear Dynamics
,”
J. Sound Vib.
,
320
(
4–5
), pp.
1039
1063
.10.1016/j.jsv.2008.08.021
6.
Amarnath
,
M.
, and
Lee
,
S. K.
,
2015
, “
Assessment of Surface Contact Fatigue Failure in a Spur Geared System Based on the Tribological and Vibration Parameter Analysis
,”
Measurements
,
76
, pp.
32
44
.10.1016/j.measurement.2015.08.020
7.
Kurushin
,
M. I.
,
Balyakin
,
V. B.
, and
Kurushin
,
S. A.
,
2015
, “
Methods of Vibration Control in Elastic Systems With Gears
,”
Procedia Eng.
,
106
, pp.
192
201
.10.1016/j.proeng.2015.06.024
8.
Richards
,
D.
, and
Pines
,
D. J.
,
2003
, “
Passive Reduction of Gear Mesh Vibration Using a Periodic Drive Shaft
,”
J. Sound Vib.
,
264
(
2
), pp.
317
342
.10.1016/S0022-460X(02)01213-0
9.
Xiao
,
W.
,
Li
,
J.
,
Wang
,
S.
, and
Fang
,
X.
,
2016
, “
Study on Vibration Suppression Based on Particle Damping in Centrifugal Field of Gear Transmission
,”
J. Sound Vib.
,
366
, pp.
62
80
.10.1016/j.jsv.2015.12.014
10.
Xiao
,
W.
,
Li
,
J.
,
Pan
,
T.
,
Zhang
,
X.
, and
Huang
,
Y.
,
2017
, “
Investigation Into the Influence of Particles' Friction Coefficient on Vibration Suppression in Gear Transmission
,”
Mech. Mach. Theory
,
108
, pp.
217
230
.10.1016/j.mechmachtheory.2016.10.015
11.
Chang
,
M.
, and
Sheng
,
T.
,
2002
, “
Vibration Reduction Gear Structure of an Image Input and Output Device
,”
J. Acoust. Soc. Am.
,
116
(
2
), pp.
1874
1874
.http://www.freepatentsonline.com/6736022.pdf
12.
Yu
,
W.
,
Mechefske
,
C. K.
, and
Timusk
,
M.
,
2017
, “
The Dynamic Coupling Behaviour of a Cylindrical Geared Rotor System Subjected to Gear Eccentricities
,”
Mech. Mach. Theory
,
107
, pp.
105
122
.10.1016/j.mechmachtheory.2016.09.017
13.
Mucchi
,
E.
,
Dalpiaz
,
G.
, and
Fernàndez del Rincòn
,
A.
,
2010
, “
Elastodynamic Analysis of a Gear Pump—Part I: Pressure Distribution and Gear Eccentricity
,”
Mech. Syst. Signal Process.
,
24
(
7
), pp.
2160
2179
.10.1016/j.ymssp.2010.02.003
14.
Gu
,
X.
, and
Velex
,
P.
,
2013
, “
On the Dynamic Simulation of Eccentricity Errors in Planetary Gears
,”
Mech. Mach. Theory
,
61
, pp.
14
29
.10.1016/j.mechmachtheory.2012.10.003
15.
Zhang
,
Y.
,
Wang
,
Q.
,
Ma
,
H.
,
Huang
,
J.
, and
Zhao
,
C.
,
2013
, “
Dynamic Analysis of Three-Dimensional Helical Geared Rotor System With Geometric Eccentricity
,”
J. Mech. Sci. Technol.
,
27
(
11
), pp.
3231
3242
.10.1007/s12206-013-0846-8
16.
Xiang
,
L.
, and
Gao
,
N.
,
2017
, “
Coupled Torsion-Bending Dynamic Analysis of Gear-Rotor-Bearing System With Eccentricity Fluctuation
,”
Appl. Math. Modell.
,
50
, pp.
569
584
.10.1016/j.apm.2017.06.026
17.
Wang
,
J.
,
Huang
,
W.
, and
Xu
,
T.
,
2016
, “
Vibration Characteristics Analysis and Experimental Research on Metal Rubber Composite Gear Pair
,”
J. Zhejiang Univ.
,
50
(
11
), pp.
2231
2238
.http://www.zjujournals.com/eng/EN/Y2016/V50/I11/2231
18.
Geng
,
Z.
,
Xiao
,
K.
,
Wang
,
J.
, and
Li
,
J.
,
2019
, “
Investigation on Nonlinear Dynamic Characteristics of a New Rigid-Flexible Gear Transmission With Wear
,”
ASME J. Vib. Acoust.
,
141
(
5
), p.
051008
.https://asmedigitalcollection.asme.org/vibrationacoustics/article/141/5/051008/725544/Investigation-on-Nonlinear-Dynamic-Characteristics?searchresult=1
19.
Kuang
,
J. H.
, and
Yang
,
Y.
,
1992
, “
An Estimate of Mesh Stiffness and Load Sharing Ratio of a Spur Gear Pair
,”
Proceedings of the Sixth International Power Transmission and Gearing Conference,
Scottsdale, AZ, Sept. 13–16, pp.
1
9
.
20.
Toupin
,
R. A.
,
1965
, “
Saint-Venant's Principle
,”
Arch. Ration. Mech. Anal.
,
18
(
2
), pp.
83
96
.10.1007/BF00282253
21.
Siyu
,
C.
,
Jinyuan
,
T.
,
Caiwang
,
L.
, and
Qibo
,
W.
,
2011
, “
Nonlinear Dynamic Characteristics of Geared Rotor Bearing Systems With Dynamic Backlash and Friction
,”
Mech. Mach. Theory
,
46
(
4
), pp.
466
478
.10.1016/j.mechmachtheory.2010.11.016
You do not currently have access to this content.