The gear drive is theoretically a normal-order meshing process to transmit movement and power. When temperature variation, misalignment, manufacture error, or deformation occurs, the normal-order meshing will be destroyed. Under certain conditions, the contact point moves in the opposite direction to the normal order on the surface of the tooth. This process is called gear reverse-order meshing. The gear reverse-order meshing will lead to gear impact and generate noise during the transmission. In the study, with gear pairs with base pitch deviation as the study object, we further studied this process and expanded the application scope of the process to kinematics and dynamics. The transmission error of the gear reverse-order meshing process was deduced. Both the speed error and acceleration error were obtained. Based on the curves of these three variables, the influence of gear reverse-order meshing on gear transmission characteristic was analyzed to explore the causes for the meshing impact phenomenon. Although the gear reverse-order meshing process has some disadvantages, it could also be applied in some fields. Due to the feature of gear reverse-order meshing, it is applied to gear integrated error (GIE) measuring technique and tooth-skipped gear honing process effectively.

References

References
1.
Mark
,
W. D.
,
1978
, “
Analysis of the Vibratory Excitation of Gear Systems: Basic Theory
,”
J. Acoust. Soc. Am.
,
63
(
5
), pp.
1409
1430
.
2.
Smith
,
J. D.
,
1983
,
Gears and Their Vibration: A Basic Approach to Understanding Gear Noise
,
Marcel Dekker
,
New York
.
3.
Mao
,
K.
,
2006
, “
An Approach for Powertrain Gear Transmission Error Prediction Using the Non-Linear Finite Element Method
,”
Proc. Inst. Mech. Eng. D: J. Auto. Eng.
,
220
(
10
), pp.
1455
1463
.
4.
Shi
,
Z. Y.
,
Wang
,
X. Y.
, and
Shu
,
Z. H.
,
2016
, “
Theoretical Method for Calculating the Unit Curve of Gear Integrated Error
,”
ASME J. Mech. Des.
,
138
(
3
), p.
033301
.
5.
Munro
,
R. G.
,
Morrish
,
L.
, and
Palmer
,
D.
,
1999
, “
Gear Transmission Error Outside the Normal Path of Contact Due to Corner and Top Contact
,”
Proc. Inst. Mech. Eng. C: J. Mech. Eng. Sci.
,
213
(
4
), pp.
389
400
.
6.
Gong
,
X. Z.
,
1981
, “
Analysis and Calculation on the Effects of Gear Base Pitch Error on Meshing Impact
,”
J. Shenyang Univ. Technol.
,
1981
(
2
), pp.
89
94
.
7.
Sato
,
T.
, and
Umezawa
,
K.
,
1985
, “
The Stiffness of Tooth at Edge Contact
,”
Trans. Jpn. Soc. Mech. Eng. C
,
51
(
463
), pp.
588
596
.
8.
Wu
,
W. N.
, and
Mechefske
,
C. K.
,
2016
, “
Analytical Modeling of Spur Gear Corner Contact Effects
,”
Mech. Mach. Theory
,
96
(
2
), pp.
146
164
.
9.
Munro
,
R. G.
,
Palmer
,
D.
, and
Morrish
,
L.
,
2001
, “
An Experimental Method to Measure Gear Tooth Stiffness Throughout and Beyond the Path of Contact
,”
Proc. Inst. Mech. Eng. C: J. Mech. Eng. Sci.
,
215
(
7
), pp.
793
803
.
10.
Han
,
Q.
,
Wang
,
J.
, and
Li
,
Q.
,
2009
, “
Analysis of Parametric Stability for a Spur Gear Pair System Considering the Effect of Extended Tooth Contact
,”
Proc. Inst. Mech. Eng. C: J. Mech. Eng. Sci.
,
223
(
8
), pp.
1787
1797
.
11.
Ye
,
S. Y.
, and
Tsai
,
S. J.
,
2016
, “
A Computerized Method for Loaded Tooth Contact Analysis of High-Contact-Ratio Spur Gears With or Without Flank Modification Considering Tip Corner Contact and Shaft Misalignment
,”
Mech. Mach. Theory
,
97
(
3
), pp.
190
214
.
12.
Zhou
,
C. J.
,
Tang
,
J. Y.
, and
Zhong
,
Z. H.
,
2008
, “
Corner Contact and Impact Friction of Gear Drive
,”
Chin. J. Mech. Eng.
,
44
(
3
), pp.
75
81
.
13.
Munro
,
R. G.
, and
Yildirim
,
N.
,
1999
, “
A Systematic Approach to Profile Relief Design of Low and High Contact Ratio Spur Gears
,”
Proc. Inst. Mech. Eng. C: J. Mech. Eng. Sci.
,
213
(
6
), pp.
551
562
.
14.
Yildirim
,
N.
,
Gasparini
,
G.
, and
Sartori
,
S.
,
2008
, “
An Improvement on Helicopter Transmission Performance Through Use of High Contact Ratio Spur Gears With Suitable Profile Modification Design
,”
Proc. Inst. Mech. Eng. G: J. Auto. Eng.
,
222
(
8
), pp.
1193
1210
.
15.
Yeh
,
H. Y.
,
Tsi
,
S. J.
, and
Kuo
,
R. J.
,
2014
, “
Contact Characteristics of Spur Gear Pairs With and Without Tip Relieves Along and Beyond the Normal Line of Action
,”
IFToMM Asian Conference on Mechanism and Machine Science
, Tianjin, China, July 9–10.
16.
Litvin
,
F. L.
,
Lu
,
J.
,
Townsend
,
D. P.
, and
Howkins
,
M.
,
1999
, “
Computerized Simulation of Meshing of Conventional Helical Involute Gears and Modification of Geometry
,”
Mech. Mach. Theory
,
34
(
1
), pp.
123
147
.
17.
Guo
,
H. D.
,
1974
, “
Mathematic Analysis on the Periodical Error of Involute Gears
,”
Sci. China, Ser. A: Math.
,
1974
(
3
), pp.
236
246
.
18.
Shi
,
Z. Y.
, 1988, “
Relationship Between the Gear Integrated Error and the Gear Noise
,” Master's thesis, Shanxi Institute of Mechanical Engineering, Xi’an, China.
19.
Huang
,
L. L.
, and
Zhong
,
X. Q.
,
1973
, “
Gear Dynamic Whole Error Curve and the Methodology of the Measurement
,”
Sci. China, Ser. A: Math.
,
1973
(
4
), pp.
434
453
.
20.
Wang
,
X. Y.
,
2016
, “
Research on Fundamental Theory and Its Practice of Gear Integrated Error Measurement
,” Ph.D. thesis, Beijing University of Technology, Beijing, China.
21.
Yu
,
B.
,
Lin
,
J. C.
, and
Shi
,
Z. Y.
,
2015
, “
Kinematics Model for Tooth-Skipped Gear Honing
,”
ASME
Paper No. DETC2015-46682.
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