In synchronous belt drives, a transmission error is generated due to resonance of the belt spanning the driving and driven pulleys when the transverse natural frequency of the belt approaches the meshing frequency of the belt and the pulley teeth. The behavior of this transmission error has been assumed to be dependent on the installation tension. In the present study, the influence of the installation tension on the transmission error in a synchronous belt drive under no transmitted load was experimentally investigated for the case in which first mode vibration due to resonance was induced in both the upper and lower spans. In addition, an analysis of the transmission error based on the experimental results was carried out. A method for reducing the error was also investigated. The transmission error contains two components: one with a period equal to the pitch of the pulley, and the other with a period of half the pulley pitch. Good agreement was found between the calculation and experimental results, thus confirming the validity of the analysis method. For a fixed pulley speed, the transmission error was largest when the installation tension was applied at a position where the displacement of the upper span was equal to that of the lower span. It was found that the transmission error could be reduced by pushing an idler lightly against the center of the span of the belt that was undergoing the largest displacement.

References

References
1.
Kagotani
,
M.
,
Aida
,
T.
,
Koyama
,
T.
,
Sato
,
S.
, and
Hoshiro
,
T.
,
1983
, “
A Study on Transmission Characteristics of Toothed Belt Drives (2nd Report, Transmission Error Under a State of Applied Initial Tension, Theoretical Analysis)
,”
Bull. JSME
,
26
(
211
), pp.
132
139
.10.1299/jsme1958.26.132
2.
Kagotani
,
M.
,
Aida
,
T.
,
Koyama
,
T.
,
Sato
,
S.
, and
Hoshiro
,
T.
,
1983
, “
A Study on Transmission Characteristics of Toothed Belt Drives (3rd Report, Transmission Error Under a State of Applied Initial Tension, Experimental Results)
,”
Bull. JSME
,
26
(
217
), pp.
1238
1244
.10.1299/jsme1958.26.1238
3.
Kagotani
,
M.
,
Ueda
,
H.
, and
Koyama
,
T.
,
2000
, “
Transmission Error in Synchronous Belt Drives Under Load (Consideration of Belt Climbing)
,”
Trans. Jpn. Soc. Mech. Eng., Ser. C
,
66
(
643
), pp.
951
958
.10.1299/kikaic.66.951
4.
Kagotani
,
M.
,
Koyama
,
T.
, and
Marshek
,
K. M.
,
1989
, “
A Study on Transmission Error in a Synchronous Belt Drive With Eccentric Pulley (Effect of Initial Tension)
,”
Trans. Jpn. Soc. Mech. Eng., Ser. C
,
55
(
519
), pp.
2831
2839
.10.1299/kikaic.55.2831
5.
Kagotani
,
M.
,
Koyama
,
T.
, and
Ueda
,
H.
,
1993
, “
A Study on Transmission Error in Timing Belt Drives (Effect of Production Error in Polychloroprene Rubber Belt)
,”
ASME J. Mech. Des.
,
115
(
4
), pp.
1038
1043
.10.1115/1.2919253
6.
Tai
,
H.
, and
Sung
,
C.
,
2000
, “
Effects of Belt Flexural Rigidity on the Transmission Error of a Carriage-Driving System
,”
ASME J. Mech. Des.
,
122
(
2
), pp.
213
218
.10.1115/1.533562
7.
Zhang
,
W.
,
Katano
,
K.
, and
Koyama
,
T.
,
2004
, “
A Study on Jitter of Serial Printer (Vibration Control of Carriage System by Dynamic Vibration Absorbers)
,”
Trans. Jpn. Soc. Mech. Eng., Ser. C
,
70
(
693
), pp.
1244
1250
.10.1299/kikaic.70.1244
8.
Hosek
,
M.
,
Krishnasamy
,
J.
, and
Beale
,
S.
,
2009
, “
Positioning Repeatability of Robotic Systems With Synchronous Belt Drives
,”
ASME
Paper No. IMECE2009-10111, pp.
17
26
. 10.1115/IMECE2009-10111
9.
Monternot
,
C.
,
Dancė
,
J. M.
, and
Play
,
D.
,
1996
, “
Dynamic Transmission Error and Load Distribution for Timing Belt Drives
,”
ASME Proceedings of the 1996 International Power Transmission and Gearing Conference
, Vol.
88
, pp.
297
304
.
10.
Makita
,
K.
,
Kagotani
,
M.
,
Ueda
,
H.
, and
Koyama
,
T.
,
2003
, “
Influence of Idler on Transmission Error in Synchronous Belt Drives (Under Transmission Force)
,”
ASME J. Mech. Des.
,
125
(
2
), pp.
404
410
.10.1115/1.1564072
11.
Makita
,
K.
,
Kagotani
,
M.
,
Ueda
,
H.
, and
Koyama
,
T.
,
2004
, “
Transmission Error in Synchronous Belt Drives With Idler (Influence of Thickness Error of Belt Back Face Under No Load Conditions)
,”
ASME J. Mech. Des.
,
126
(
1
), pp.
148
155
.10.1115/1.1639379
12.
Kagotani
,
M.
,
Ueda
,
H.
, and
Koyama
,
T.
,
2001
, “
Transmission Error in Helical Timing Belt Drives (Case of a Period of Pulley Pitch)
,”
ASME J. Mech. Des.
,
123
(
1
), pp.
104
110
.10.1115/1.1326916
13.
Kagotani
,
M.
,
Makita
,
K.
,
Ueda
,
H.
, and
Koyama
,
T.
,
2004
, “
Transmission Error in Helical Synchronous Belt Drives in Bidirectional Operation Under No Transmitted Load (Influence of Pulley Flanges)
,”
ASME J. Mech. Des.
,
126
(
5
), pp.
881
888
.10.1115/1.1765118
14.
Kagotani
,
M.
, and
Ueda
,
H.
,
2009
, “
Theoretical Analysis of Transmission Error in Helical Synchronous Belt With Error on Belt Side Face Under Bidirectional Operation
,”
ASME J. Mech. Des.
,
131
(
8
), p.
081004
.10.1115/1.3086795
15.
Kagotani
,
M.
, and
Ueda
,
H.
,
2010
, “
Factors Affecting Transmission Error in Helical Synchronous Belt With Error on Belt Side Face Under Bidirectional Operation
,”
ASME J. Mech. Des.
,
132
(
7
), p.
071005
.10.1115/1.4001667
16.
Kulkarni
,
C.
, and
Aher
,
V. S.
,
2011
, “
A Method to Calculate the Natural Frequency of the Timing Belt Drive
,”
SAE
Paper No. 2011-28-0140.10.4271/2011-28-0140
17.
Scurtu
,
P. R.
,
Clark
,
M.
, and
Zu
,
J. W.
,
2009
, “
Experimental Study of Coupled Longitudinal and Transverse Vibration of Automotive Belts
,”
SAE
Paper No. 2009-01-1198.10.4271/2009-01-1198
18.
Takano
,
K.
,
Watanabe
,
K.
,
Matsusita
,
O.
, and
Kitano
,
M.
,
1998
, “
Vibration and Control of Axially Moving Belt System (1st Report, Experimental Analysis)
,”
Trans. Jpn. Soc. Mech. Eng., Ser. C
,
64
(
618
), pp.
421
428
.10.1299/kikaic.64.421
19.
Kubo
,
A.
,
Ando
,
T.
,
Sato
,
S.
,
Aida
,
T.
, and
Hoshiro
,
T.
,
1971
, “
On the Running Noise of Toothed Belt Drive (1st Report, Mechanism of Noise Generation)
,”
Bull. JSME
,
14
(
75
), pp.
991
997
.10.1299/jsme1958.14.991
20.
Kagotani
,
M.
, and
Ueda
,
H.
,
2012
, “
Transmission Error in Synchronous Belt With Resonance Under Installation Tension
,”
ASME J. Mech. Des.
,
134
(
6
), p.
061003
.10.1115/1.4006524
21.
Kagotani
,
M.
,
Aida
,
T.
,
Koyama
,
T.
,
Sato
,
S.
, and
Hoshiro
,
T.
,
1981
, “
Some Method to Reduce Noise in Toothed Belt Drives
,”
Bull. JSME
,
24
(
190
), pp.
723
728
.10.1299/jsme1958.24.723
22.
Kagotani
,
M.
,
Koyama
,
T.
,
Ueda
,
H.
,
Aida
,
T.
, and
Hoshiro
,
T.
,
1984
, “
Load Distribution on Toothed Belt Drives Under a State of Initial Tension
,”
Bull. JSME
,
27
(
230
), pp.
1780
1787
.10.1299/jsme1958.27.1780
23.
Koyama
,
T.
,
Watanabe
,
K.
,
Nagai
,
K.
, and
Kagotani
,
M.
,
1990
, “
A Study on Timing Belt Noise (How to Reduce Resonant Noise)
,”
ASME J. Mech. Des.
,
112
(
3
), pp.
419
423
.10.1115/1.2912624
24.
Watanabe
,
K.
,
Koyama
,
T.
,
Nagai
,
K.
, and
Kagotani
,
M.
,
1990
, “
A Study on Timing Belt Noise (Theoretical Analysis for Forced Transverse Vibration of Timing Belt With Parametric Excitation)
,”
ASME J. Mech. Des.
,
112
(
3
), pp.
424
429
.10.1115/1.2912625
You do not currently have access to this content.