Abstract

Under excitation due to the environment or traffic load, cable vibration never ceases; thus, fatigue cycles generated by vibration-induced additional cable tension (VACT) owing to the change of the cable configuration from static to dynamic are significantly frequent. Therefore, VACT is a non-negligible cable-fatigue load. To investigate the cable dynamic stability and fatigue, it is necessary to determine VACT in a dynamic environment. Herein, a method for estimating VACT in the frequency-domain by using acceleration data is proposed. In this method, according to the cable vibration control equation, the frequency-domain relationship between the VACT and the vibration response of the measuring point is established based on the dynamic stiffness. Parameter analysis simplifies the proposed model to estimate VACT using only acceleration data. The proposed method is verified with cable acceleration data.

References

1.
Ni
,
Y. Q.
,
Zheng
,
G.
, and
Ko
,
J. M.
,
2004
, “
Nonlinear Periodically Forced Vibration of Stay Cables
,”
ASME J. Vib. Acoust.
,
126
(
2
), pp.
245
252
. 10.1115/1.1641800
2.
Berlioz
,
A.
, and
Lamarque
,
C.
,
2005
, “
Nonlinear Vibrations of an Inclined Cable
,”
ASME J. Vib. Acoust.
,
127
(
4
), pp.
315
323
. 10.1115/1.1924638
3.
Virlogeux
,
M.
,
1998
,
Cable Vibrations in Cable-Stayed Bridges
,
Bridge Aerodynamic
,
Balkema
, pp.
213
233
.
4.
Bachmann
,
H.
,
1995
,
Vibration Problems in Structures
,
Birkhaeuser
,
Basel
.
5.
Tabatabai
,
H.
,
2005
,
Inspection and Maintenance of Bridge Stay Cable Systems: A Synthesis of Highway Practice
,
Transportation Research Board
,
Washington
, p.
353
.
6.
Wang
,
M. L.
,
Wang
,
G.
, and
Zhao
,
Y.
,
2005
, “Application of EM Stress Sensors in Large Steel Cables,”
Sensing Issues in Civil Structural Health Monitoring
,
Springer
,
New York
, pp.
145
154
.
7.
Li
,
H.
,
Ou
,
J.
, and
Zhou
,
Z.
,
2009
, “
Applications of Optical Fibre Bragg Gratings Sensing Technology-Based Smart Stay Cables
,”
Optic. Laser. Eng.
,
47
(
10
), pp.
1077
1084
. 10.1016/j.optlaseng.2009.04.016
8.
Wong
,
K. Y.
,
2004
, “
Instrumentation and Health Monitoring of Cable-Supported Bridges
,”
Struct. Contr. Health Monit.
,
11
(
2
), pp.
91
124
. 10.1002/stc.33
9.
Koo
,
K.
,
Brownjohn
,
J.
,
List
,
D. I.
, and
Cole
,
R.
,
2013
, “
Structural Health Monitoring of the Tamar Suspension Bridge
,”
Struct. Contr. Health Monit.
,
20
(
4
), pp.
609
625
. 10.1002/stc.1481
10.
Main
,
J. A.
, and
Jones
,
N. P.
,
2007
, “
Vibration of Tensioned Beams With Intermediate Damper. II: Damper Near a Support
,”
J. Eng. Mech.
,
133
(
4
), pp.
379
388
. 10.1061/(ASCE)0733-9399(2007)133:4(379)
11.
Main
,
J. A.
, and
Jones
,
N. P.
,
2007
, “
Vibration of Tensioned Beams With Intermediate Damper. I: Formulation, Influence of Damper Location
,”
J. Eng. Mech.
,
133
(
4
), pp.
369
378
. 10.1061/(ASCE)0733-9399(2007)133:4(369)
12.
Ricciardi
,
G.
, and
Saitta
,
F.
,
2008
, “
A Continuous Vibration Analysis Model for Cables With Sag and Bending Stiffness
,”
Eng. Struct.
,
30
(
5
), pp.
1459
1472
. 10.1016/j.engstruct.2007.08.008
13.
Chen
,
C.
,
Wu
,
W.
,
Chen
,
S.
, and
Lai
,
G.
,
2018
, “
A Novel Tension Estimation Approach for Elastic Cables by Elimination of Complex Boundary Condition Effects Employing Mode Shape Functions
,”
Eng. Struct.
,
166
(
13
), pp.
152
166
. 10.1016/j.engstruct.2018.03.070
14.
Yan
,
B.
,
Yu
,
J.
, and
Soliman
,
M.
,
2015
, “
Estimation of Cable Tension Force Independent of Complex Boundary Conditions
,”
J. Eng. Mech.
,
141
(
1
), p.
060140151
. 10.1061/(asce)em.1943-7889.0000836
15.
Li
,
H.
,
Zhang
,
F.
, and
Jin
,
Y.
,
2014
, “
Real-Time Identification of Time-Varying Tension in Stay Cables by Monitoring Cable Transversal Acceleration
,”
Struct. Contr. Health Monit.
,
21
(
7
), pp.
1100
1117
. 10.1002/stc.1634
16.
Yang
,
Y.
,
Li
,
S.
,
Nagarajaiah
,
S.
,
Li
,
H.
, and
Zhou
,
P.
,
2015
, “
Real-Time Output-Only Identification of Time-Varying Cable Tension From Accelerations via Complexity Pursuit
,”
J. Struct. Eng.
,
142
(
1
), p.
04015083
. 10.1061/(ASCE)ST.1943-541X.0001337
17.
Bao
,
Y.
,
Shi
,
Z.
,
Beck
,
J. L.
,
Li
,
H.
, and
Hou
,
T. Y.
,
2017
, “
Identification of Time-Varying Cable Tension Forces Based on Adaptive Sparse Time-Frequency Analysis of Cable Vibrations
,”
Struct. Contr. Health Monit.
,
24
(
3
), p.
e1889
. 10.1002/stc.1889
18.
Irvine
,
H. M.
,
1981
,
Cable Structures
,
The MIT Press
,
Cambridge, MA
.
You do not currently have access to this content.