Abstract

The damage indexes based on the modal frequency (DMF) have been widely used to identify damage and thus to warn about structural failure in advance. However, since the change of the DMF caused by damage is generally too small to be differentiated from environmental interference, the DMF cannot produce robust damage identification for in situ measurement. To improve the robustness of the DMF, a damage index, namely the difference of the frequency response function (DFRF), is developed in this article. Both numerical simulation and experiments are conducted to identify perpendicular notches in cantilever beams. Both the changes of the DMF and DFRF with respect to the notch depth are analyzed to investigate their sensitivities. Since the DFRF can sufficiently use the damage-related information reflected by all the frequencies rather than by modal frequencies only, the DFRF can produce obvious changes with respect to slight notch growth. Therefore, the change of the DFRF is hard to drown out with environmental interference and can robustly characterize damage for in situ measurement.

References

1.
Kim
J.-S.
,
Yoon
J.-H.
,
Jeong
U.-C.
, and
Oh
J.-E.
, “
Experimental Evaluation of a Variable Shear Modulus Characteristic for Magnetorheological Elastomer Due to Induced Current
,”
Journal of Testing and Evaluation
43
, no. 
3
(May
2015
):
611
621
, https://doi.org/10.1520/jte20130282
2.
Fan
W.
and
Qiao
P.
, “
Vibration-Based Damage Identification Methods: A Review and Comparative Study
,”
Structural Health Monitoring
10
, no. 
1
(January
2010
):
83
111
, https://doi.org/10.1177/1475921710365419
3.
Guo
J.
,
Wang
L.
, and
Takewaki
I.
, “
Modal-Based Structural Damage Identification by Minimum Constitutive Relation Error and Sparse Regularization
,”
Structural Control and Health Monitoring
25
, no. 
12
(September
2018
): e2255, https://doi.org/10.1002/stc.2255
4.
Rao
P. S.
,
Ramakrishna
V.
, and
Mahendra
N. V. D.
, “
Experimental and Analytical Modal Analysis of Cantilever Beam for Vibration Based Damage Identification Using Artificial Neural Network
,”
Journal of Testing and Evaluation
46
, no. 
2
(March
2018
):
656
665
, https://doi.org/10.1520/jte20160112
5.
Rezaee
M.
and
Shaterian-Alghalandis
V.
, “
A New Crack Detection Method in a Beam under Geometrically Nonlinear Vibration
,”
Archive of Applied Mechanics
88
, no. 
9
(September
2018
):
1491
1506
, https://doi.org/10.1007/s00419-018-1383-9
6.
Wimarshana
B.
,
Wu
N.
, and
Wu
C.
, “
Application of Entropy in Identification of Breathing Cracks in a Beam Structure: Simulations and Experimental Studies
,”
Structural Health Monitoring
17
, no. 
3
(May
2017
):
549
564
, https://doi.org/10.1177/1475921717704626
7.
Miao
Y.
,
Zhong
M.
, and
Liu
Z.
, “
Locating Wood Defects Based on Vibration Modes
,”
Journal of Testing and Evaluation
46
, no. 
2
(March
2018
):
534
539
, https://doi.org/10.1520/jte20150511
8.
Yan
W.-J.
,
Zhao
M.-Y.
,
Sun
Q.
, and
Ren
W.-X.
, “
Transmissibility-Based System Identification for Structural Health Monitoring: Fundamentals, Approaches, and Applications
,”
Mechanical Systems Signal Processing
117
(February
2019
):
453
482
, https://doi.org/10.1016/j.ymssp.2018.06.053
9.
Souza
L. F. D. S.
,
Vandepitte
D.
,
Tita
V.
, and
de Medeiros
R.
, “
Dynamic Response of Laminated Composites Using Design of Experiments: An Experimental and Numerical Study
,”
Mechanical Systems and Signal Processing
115
(January
2019
):
82
101
, https://doi.org/10.1016/j.ymssp.2018.05.022
10.
Capozucca
R.
and
Magagnini
E.
, “
Experimental Vibration Response of Homogeneous Beam Models Damaged by Notches and Strengthened by CFRP Lamina
,”
Composite Structures
206
(December
2018
):
563
577
, https://doi.org/10.1016/j.compstruct.2018.08.082
11.
Shadan
F.
,
Khoshnoudian
F.
, and
Esfandiari
A.
, “
Structural Damage Identification Based on Strain Frequency Response Functions
,”
International Journal of Structural Stability and Dynamics
18
, no. 12 (
2018
): 1850159, https://doi.org/10.1142/s0219455418501596
12.
Lin
R. M.
and
Ng
T. Y.
, “
Applications of Higher-Order Frequency Response Functions to the Detection and Damage Assessment of General Structural systems with Breathing Cracks
,”
International Journal of Mechanical Sciences
148
(November
2018
):
652
666
, https://doi.org/10.1016/j.ijmecsci.2018.08.027
13.
Jahan
M. S.
,
Keypour
R.
,
Izadfar
H. R.
, and
Keshavarzi
M. T.
, “
Locating Power Transformer Fault Based on Sweep Frequency Response Measurement by a Novel Multistage Approach
,”
IET Science, Measurement & Technology
12
, no. 8 (
2018
):
949
957
, https://doi.org/10.1049/iet-smt.2018.0003
14.
Salawu
O. S.
, “
Detection of Structural Damage through Changes in Frequency: A Review
,”
Engineering Structures
19
, no. 
9
(September
1997
):
718
723
, https://doi.org/10.1016/s0141-0296(96)00149-6
15.
Wang
Z.
,
Qiao
P.
, and
Shi
B.
, “
Application of Soft-Thresholding on the Decomposed Lamb Wave Signals for Damage Detection of Plate-like Structures
,”
Measurement
88
(June
2016
):
417
427
, https://doi.org/10.1016/j.measurement.2015.10.001
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