This paper addresses a new method for estimating axial load in tie-rods using indirect measurements. This information is of great importance for assessing the health of the tie-rod itself and the health of the entire structure that the beam is inserted into. The method is based on dynamic measurements and requires the experimental estimation of the tie-rod eigenfrequencies and mode shapes at a limited number of points. Furthermore, the approach requires the development of a simple finite element model (FEM), which is then cross-correlated with the experimental data using a model update procedure. Extensive numerical simulations and experimental tests have demonstrated the ability of the new approach to yield accurate estimates of the tie-rod axial load and overcome various limitations of the methods currently available in the literature.

References

References
1.
Briccoli Bati
,
S.
, and
Tonietti
,
U.
,
2001
, “
Experimental Methods for Estimating In Situ Tensile Force in Tie-Rods
,”
J. Eng. Mech.
,
127
(
12
), pp.
1275
1283
.
2.
Tullini
,
N.
,
2013
, “
Bending Tests to Estimate the Axial Force in Slender Beams With Unknown Conditions
,”
Mech. Res. Commun.
,
53
, pp.
15
23
.
3.
Blasi
,
C.
, and
Sorace
,
S.
,
1994
, “
Determining the Axial Force in Metallic Rods
,”
Struct. Eng. Int.
,
4
(
4
), pp.
241
246
.
4.
Livingston
,
T.
,
Béliveau
,
J. G.
, and
Huston
,
D. R.
,
1995
, “
Estimation of Axial Load in Prismatic Members Using Flexural Vibrations
,”
J. Sound Vib.
,
179
(
5
), pp.
899
908
.
5.
Lagomarsino
,
S.
, and
Calderini
,
C.
,
2005
, “
The Dynamical Identification of the Tensile Force in Ancient Tie-Rods
,”
Eng. Struct.
,
27
(
6
), pp.
846
856
.
6.
Tullini
,
N.
, and
Laudiero
,
F.
,
2008
, “
Dynamic Identification of Beam Axial Loads Using One Flexural Mode Shape
,”
J. Sound Vib.
,
318
(
1–2
), pp.
131
147
.
7.
Rebecchi
,
G.
,
Tullini
,
N.
, and
Laudiero
,
F.
,
2013
, “
Estimate of the Axial Force in Slender Beams With Unknown Boundary Conditions Using One Flexural Mode Shape
,”
J. Sound Vib.
,
332
(
18
), pp.
4122
4135
.
8.
Garziera
,
R.
,
Amabili
,
M.
, and
Collini
,
L.
,
2011
, “
A Hybrid Method for the Nondestructive Evaluation of the Axial Load in Structural Tie-Rods
,”
Nondestr. Test. Eval.
,
26
(
2
), pp.
197
208
.
9.
Amabili
,
M.
,
Carra
,
S.
,
Collini
,
L.
,
Garziera
,
R.
, and
Panno
,
A.
,
2010
, “
Estimation of Tensile Force in Tie-Rods Using a Frequency-Based Identification Method
,”
J. Sound Vib.
,
329
(
11
), pp.
2057
2067
.
10.
Gentilini
,
C.
,
Marzani
,
A.
, and
Mazzotti
,
M.
,
2013
, “
Nondestructive Characterization of Tie-Rods by Means of Dynamic Testing, Added Masses, and Genetic Algorithms
,”
J. Sound Vib.
,
332
(
1
), pp.
76
101
.
11.
Li
,
S.
,
Reynders
,
E.
,
Maes
,
K.
, and
De Roeck
,
G.
,
2013
, “
Vibration-Based Estimation of Axial Force for a Beam Member With Uncertain Boundary Conditions
,”
J. Sound Vib.
,
332
(
4
), pp.
795
806
.
12.
Maes
,
K.
,
Peeters
,
J.
,
Reynders
,
E.
,
Lombaert
,
G.
, and
De Roeck
,
G.
,
2013
, “
Identification of Axial Forces in Beam Members by Local Vibration Measurements
,”
J. Sound Vib.
,
332
(
21
), pp.
5417
5432
.
13.
Rainieri
,
C.
,
Gargaro
,
D.
,
Cieri
,
L.
, and
Fabbrocino
,
G.
,
2014
, “
Vibration-Based Continuous Monitoring of Tensile Loads in Cables and Rods: System Development and Application
,”
Struct. Health Monit.
,
5
, pp.
271
278
.
14.
Rainieri
,
C.
, and
Fabbrocino
,
G.
,
2015
, “
Development and Validation of an Automated Operational Modal Analysis Algorithm for Vibration-Based Monitoring and Tensile Load Estimation
,”
Mech. Syst. Signal Process.
,
60–61
, pp.
512
534
.
15.
Meirovitch
,
L.
,
2001
,
Fundamentals of Vibrations
,
McGraw-Hill
,
New York
.
16.
Hutchinson
,
J. R.
,
2001
, “
Shear Coefficients for Timoshenko Beam Theory
,”
ASME J. Appl. Mech.
,
68
(
1
), pp.
87
92
.
17.
Wang
,
Y.-Z.
,
Li
,
F.-M.
, and
Kishimoto
,
K.
,
2012
, “
Effects of Axial Load and Elastic Matrix on Flexural Wave Propagation in Nanotube With Nonlocal Timoshenko Beam Model
,”
ASME J. Vib. Acoust.
,
134
(
3
), p.
31011
.
18.
Luong
,
H. T. M.
,
Ramos
,
L. F.
, and
Aguilar
,
F.
,
2011
, “
Identification of the Tensile Force in Tie-Rods of Historical Constructions
,”
XXIX International Conference on Modal Analysis
(
IMAC
), Jacksonville, FL, Jan. 31–Feb. 3, pp.
71
81
.
19.
Brandt
,
A.
,
2011
,
Noise and Vibration Analysis—Signal Analysis and Experimental Procedures
,
Wiley
, Chichester, UK.
20.
Ewins
,
D. J.
,
2000
,
Modal Testing: Theory, Practice and Application
,
Research Studies Press Ltd.
,
Baldock, UK
.
21.
Doebelin
,
E.
,
2003
,
Measurement Systems: Application and Design
,
McGraw-Hill
,
New York
.
22.
Peeters
,
B.
,
Van Der Auweraer
,
H.
,
Guillaume
,
P.
, and
Leuridan
,
J.
,
2004
, “
The PolyMAX Frequency-Domain Method: A New Standard for Modal Parameter Estimation?
,”
Shock Vib.
,
11
(
3–4
), pp.
395
409
.
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