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_I·Simul"t.dl
•• llt1l., 'potlom
I
I . 1
i t.-------+--'t---I---''r-+----'
~
I
:L:'---------
PROURE$$ OF M~SHING
d Simul.ted IrlIn.miui .... "'"
..,de, 10 d
Figure.11 LJaded contact pattern OIl ring gear flank and tile transmission
error (inpllt torque » 30 N-m).
gears that can accept measured form deviation of
real tooth flank form is developed. The gear performance-such
as transmission error, contact
pattern under load and no load, normal loa.d
distribution on tooth flank, contact stre ,tooth
fillet stress, flash temperature and vibrational
excitation for actual production gears-can now
be analyzed. Some simulated results are compared
with actual results in the field and from
experience. Also, the effectiveness of the measurement
of tooth flank form accuracy of hypoid
gears is discussed. 0
Figure l2-Simulaled
l60
stress stale on tooti:flank of lJypoid gears.
-.-FU
---+---- A.ppnmmlloa
- ..........
It 116
(I) Compoo:i... am""l FEA. M ....... d ..,d ,oI',ulll,d
fiUet strcs! distributiQf1 with 'tJ:K prog.tcu of meshing
Figure 13 Ring gear .tooth fillet stress (torque s» 777 Nvm).
e
~ 6
e
.g
,l!
'u
11&1 'I<
c
Abscissa is the order
tOI Imeshing freq,uency
Figure U-Remlt ,ofthe vibrational ,excitation.
e
~
Ie
".c:
.~ u
~
e
Q
'1i
.0
:> WEAR SiAGE
o 0..2 0.4 0.6 0,8 1
Toe:
Becl
(b) Coolp.ri..,.. __ !'EA. M.U1Dd oM 'oimuI.lt.,d
maximum, fillet WCI.I distribution at ODJ toodl width
Figure 15-Cllallge of the mesh iug frequellcy COlllpO'l.lelltof Jlibratiollal excitation
willi:progress of tootiJ flank wear.
References
I. Saito, Y. er al. "Check of 3D Fonn Aocuracy of
Hypoid & Bevel Gear Teeth for the New Generation of
Quality Contra]," AGMA Fall Technical Meeting, 1.998.
2. Kubo, A. et al, "A Computer Based Approach for
Evaluation of Operating Performance of Bevel and
Hypoid Gears," lSME International Journal (Series
C), Vol.40, No.4, 199'7,pp. 749-758.
3.. Kagimoto, H.et al, "Development of Tooth
Surface Measuring Machine for Hypoid Gears,"
Toyota Motor Co. Technical. Review, Vol. 43, No. L
May 1993,pp. 112-1l7.
4. Wang, Zhonghou, A. Kubo.et aI. "Simulation of
Deterioration of Hypoid Gear Performance due to
Tooth Flank Wear (I st Report, Data Processing of
Measured Tooth Flank Wear)," Transactions of the
Japan Society of Mechallical Engineers, Vol.66. No.
647, 2000, pp. 2354-2362.
5, Wallg, Zhonghou, A. Kubo et al, "Simulation of
Deterioration of Hypoid Gear Performance due 10
Tooth flank Wear (2nd Report. Model for Tooth flank
Wear and the Change ofGerur Performance Resulted},"
Transactions of the Japan Society of Mechanical
Engineers, Vol.66, No. 647. 2000, pp. 2363-2370,
6. Wang. Zhonghou, A. Kubo et al. "Tooth Root
Stress Analysis of Hypoid Gears (2nd Report,
Introduction of Predicting Method. for the Tooth
Root)," Transactions of the Japan Society of
Mechanical Engineers, Vol. 66, o. 652, December
2000, pp. 221-227.
7, Wang, Zhonghou, A. Kubo et al. "Measurement of
3D Tooth flank Form of Hypoid Gears and its Usage
for High Quality Production and Performance
Prediction," International Conference on Mechanical
Transmissions, Chongqing, China, April 200 1.
Figures in Fig. 6,Fig. 7
Which Gear
I Set Was Used
I
Fig. 8, Fig. 9,
Fig. 10, Fig. 14
Fig. 15
Fig. II, Fig. 12 Fig. 13
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30 JULV/AUGUST 2002 ., GEAR TECHNOLOGY' www.gearrechnology.com ., www.oowertrensmtsston.com