It is difficult to use conventional nondestructive testing methods to detect damage, such as loosening of bolted connections, in a space frame structure due to the complexity of the structure and the nature of the possible damage. A vibration-based method that uses changes in the natural frequencies of a structure to detect the locations and extent of damage in it has the advantage of being able to detect various types of damage in the structure, including loosening of bolted connections. Since the vibration-based method is model-based, applying it to a space frame structure with L-shaped beams and bolted joints will face challenges ranging from the development of an accurate dynamic model of the structure to that of a robust damage detection algorithm for a severely underdetermined, nonlinear least-square problem under the effects of relatively large modeling error and measurement noise. With the development of modeling techniques for fillets in thin-walled beams (He and Zhu, 2009, “Modeling of Fillets in Thin-Walled Beams Using Shell/Plate and Beam Finite Elements,” ASME J. Vib. Acoust., 131 (5), p. 051002) and bolted joints (He and Zhu, 2011, “Finite Element Modeling of Structures With L-shaped Beams and Bolted Joints,” ASME J. Vib. Acoust., 131(1), p. 011010) by the authors, accurate physics-based models of space frame structures can be developed with a reasonable model size. A new damage detection algorithm that uses a trust-region search strategy combined with a logistic function transformation is developed to improve the robustness of the vibration-based damage detection method. The new algorithm can ensure global convergence of the iterations and minimize the effects of modeling error and measurement noise. The damage detection method developed is experimentally validated on an aluminum three-bay space frame structure with L-shaped beams and bolted joints. Three types of introduced damage, including joint damage, member damage, and boundary damage, were successfully detected. In the numerical simulation where there are no modeling error and measurement noise, the almost exact locations and extent of damage can be detected.

References

References
1.
Doebling
,
S. W.
,
Farrar
,
C. R.
,
Prime
,
M. B.
, and
Shevitz
,
D. W.
,
1996
, “
Damage Identification and Health Monitoring of Structural and Mechanical Systems From Changes in Their Vibration Characteristics: A Literature Review
,” Los Alamos National Laboratory, Los Alamos, NM, Report No. LA-13070-MS.
2.
Lim
,
T. W.
, and
Kashangak
,
T. A. L.
,
1994
, “
Structural Damage Detection of Space Truss Structures Using Best Achievable Eigenvectors
,”
AIAA J.
,
32
(
5
), pp.
1049
1057
.10.2514/3.12093
3.
Wu
,
J. R.
, and
Li
,
Q. S.
,
2006
, “
Structural Parameter Identification and Damage Detection for a Steel Structure Using a Two-Stage Finite Element Model Updating Method
,”
J. Construct. Steel Res.
,
62
, pp.
231
239
.10.1016/j.jcsr.2005.07.003
4.
Sorohan
,
S. T.
,
2004
, “
Finite Element Model Updating and Damage Detection on a Truss Structure
,”
U. P. B. Sci. Bull. D
,
66
(
1
), pp.
47
62
.
5.
Friswell
,
M. I.
, and
Mottershead
,
J. E.
,
1995
,
Finite Element Model Updating in Structural Dynamics
,
Kluwer Academic Publishers
,
Dordrecht, The Netherlands
, pp.
79
96
, pp. 158–172.
6.
Friswell
,
M. I.
, and
Penny
,
J. E. T.
,
1997
, “
Is Damage Location Using Vibration Measurements Practical?
” Proceedings of EUROMECH 365 International Workshop: DAMAS 97, Structural Damage Assessment Using Advanced Signal Processing Procedures,
Sheffield, UK, June/July
.
7.
He
,
K.
, and
Zhu
,
W. D.
,
2009
, “
Modeling of Fillets in Thin-Walled Beams Using Shell/Plate and Beam Finite Elements
,”
ASME J. Vib. Acoust.
,
131
(
5
),
p. 051002
. 10.1115/1.3142879
8.
He
,
K.
, and
Zhu
,
W. D.
,
2011
, “
Finite Element Modeling of Structures With L-Shaped Beams and Bolted Joints
,”
ASME J. Vib. Acoust.
,
133
(
1
), p.
011010
.10.1115/1.4001840
9.
Nocedal
,
J.
, and
Wright
,
S. J.
,
1999
,
Numerical Optimization
,
Springer-Verlag
,
New York
, pp.
252
270
.
10.
Friswell
,
M. I.
,
Penny
,
J. T.
, and
Garvey
,
S. D.
,
1997
, “
Parameter Subset Selection in Damage Location
,”
Inv. Prob. Eng.
,
5
, pp.
189
215
.10.1080/174159797088027660
11.
Ewins
,
D. J.
,
2000
,
Modal Testing: Theory, Practice and Application
,
2nd ed.
,
Research Studies Press Ltd.
,
Baldock, Hertfordshire, UK
.
12.
Bàlmes
,
E.
,
Bianchi
,
J. P.
, and
Leclére
,
J. M.
,
2009
,
Structural Dynamics Toolbox, Users Guide
, Version 6.1,
Scientific Software Group
,
Paris, France
.
13.
Segalman
,
D. J.
,
Smallwood
,
D. O.
,
Sumali
,
H.
,
Paez
,
T. L.
, and
Urbina
,
A.
,
2003
, “
Status and Integrated Road-Map for Joints Modeling Research
,”
Sandia National Laboratories
, Albuquerque, NM. 10.2172/809623
14.
Shigley
,
J. E.
, and
Mischke
,
C. R.
,
1989
,
Mechanical Engineering Design
,
5th ed.
,
McGraw-Hill, Inc.
,
New York
.
15.
Galantai
,
A.
,
2000
, “
The Theory of Newton's Method
,”
J. Comput. Appl. Math.
,
124
, pp.
25
44
.10.1016/S0377-0427(00)00435-0
16.
Xu
,
G. Y.
,
Zhu
,
W. D.
, and
Emory
,
B. H.
,
2007
, “
Experimental and Numerical Investigation of Structural Damage Detection Using Changes in Natural Frequencies
,”
ASME J. Vib. Acoust.
,
129
(
6
), pp.
686
700
.10.1115/1.2731409
You do not currently have access to this content.