This paper analyzed the deformations and bending stresses of a three-dimensional (3D), thin-rimmed gear (TRG) through using the finite element method (FEM) and a whole gear deformation model. The gear’s deformations and stresses at every part are analyzed in detail. In contrast with tooth bending deformations of a solid gear, 3D-TRG has not only tooth bending deformations, but also rim and web bending deformations. This paper found that the thin rim and web share about 70% deformations in the total deformations of the 3D-TRG and the gear tooth share only about 30%. It is also pointed out by this paper that not only the root stresses of the 3D-TRG are much greater than the solid gear because of the rim and web deformations, but also there are much greater stresses existing in the joint of the thin rim and the web. Especially, when the rim thickness becomes very thin, stresses at the joint shall become much greater than the root stresses. It is very necessary to regard the joint as the second critical stress point as well as the tooth root when to design 3D-TRG.

1.
Arai
,
N.
,
Harada
,
S.
, and
Aida
,
T.
,
1981
, “
Study on bending Strength of a Thin-rimmed Spur Gear (In Japanese)
,”
JSME Int. J. Ser. C
, ,
47
, No.
413
, pp.
47
56
.
2.
Ishida
,
T.
,
Hidaka
,
T.
, and
Takizawa
,
H.
,
1985
, “
Bending Stress Analysis of Idle Gear with Thin Rim (Effects of Rim Thickness on Stresses) (In Japanese)
,”
JSME Int. J., Ser. C
,
51
, No.
462
, pp.
359
365
.
3.
Gulliot, M., and Tordion, G. V., 1989, “Stress Analysis of Thin-Rim Spur Gears by Finite Element Method,” Proceedings of the 1989 International Power Transmission and Gearing Conference, 1, pp. 167–172.
4.
Ishida
,
T.
, and
Hidaka
,
T.
,
1994
, “
Stress of Planet Gear with Thin Rim
,”
Gear Technology
,
11
, No.
2
, pp.
26
31
.
5.
Miyachika
,
K.
,
Oda
,
S.
,
Koide
,
T.
, and
Fujiwara
,
S.
,
1995
, “
Bending Strength Estimation of Thin-Rimmed Spur Gears
,”
JSME Int. J., Ser. C
,
61
, No.
582
, pp.
386
391
.
6.
Lewicki
,
D. G.
, and
Ballarini
,
R.
,
1997
, “
Effect of Rim Thickness on Gear Crack Propagation Path
,”
ASME J. Mech. Des.
,
119
, pp.
88
95
.
7.
Graziano, C., Francesco, A. R., Dario, G., and Carlo, B., 1991, “Three-dimensional, Stress Analysis of Thin-Rimmed Gears,” MPT’91 JSME International Conference on Motion and Powertransmissions, Nov., Hiroshima, Japan, pp. 787–794.
8.
Tessema
,
A.
,
Walton
,
D.
, and
Weale
,
D.
,
1995
, “
Effect of Web & Flange Thickness on Nonmetallic Gear Performance
,”
Gear Technology
, Nov.-Dec.,
pp.
30
35
.
9.
Vaujany, J. P., de, Kim, H. C., Guing, M., and Play, D., 1996, “Effect of Rim and Web on Stresses on Internal Cylindrical Gears,” 7th International Power Transmission and Gearing Conference, San Diego, Proceedings, pp. 73–80.
10.
Oda
,
S.
,
Miyachika
,
K.
,
Cao
,
X. T.
, and
Namba
,
C.
,
1997
, “
Root Stresses of Thin-Rimmed Spur Internal Gears with Asymmetric Web Arrangements in Mesh
,”
JSME Int. J., Ser. C
,
63
, No.
610
, pp.
291
297
.
11.
Li, S., 1998, “Fundamental Studies of Analyzing the Tooth-Load Distribution of Three-Dimensional, Thin-Rimmed Gears with Assembly Errors,” Doctoral dissertation, Yamaguchi University.
You do not currently have access to this content.