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Research Papers

Output-Only Damage Identification Using Enhanced Structural Characteristic Deflection Shapes and Adaptive Gapped Smoothing Method

[+] Author and Article Information
Shancheng Cao

Centre for Engineering Dynamics,
School of Engineering,
The University of Liverpool,
Liverpool L69 3GH, UK
e-mail: caoshch@liv.ac.uk

Huajiang Ouyang

Centre for Engineering Dynamics,
School of Engineering,
The University of Liverpool,
Liverpool L69 3GH, UK
e-mail: h.ouyang@liverpool.ac.uk

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received September 14, 2016; final manuscript received June 23, 2017; published online September 1, 2017. Assoc. Editor: Stefano Lenci.

J. Vib. Acoust 140(1), 011005 (Sep 01, 2017) (11 pages) Paper No: VIB-16-1458; doi: 10.1115/1.4037469 History: Received September 14, 2016; Revised June 23, 2017

Structural characteristic deflection shapes (CDSs) such as mode shapes which contain spatial knowledge of structures are highly sensitive for damage detection and localization. Nevertheless, CDSs are vulnerable to measurement noise, which degrades the accuracy of damage identification. In order to enhance CDS-based damage identification, contributions are made in three aspects. First, a robust CDS estimation approach is proposed based on common principal component analysis, which estimates the CDSs as the common diagonalizer of a set of covariance matrices by joint approximation diagonalization (JAD). Second, an adaptive gapped smoothing method (GSM) is proposed and validated to be more accurate than the traditional GSM. Third, a new damage identification index capable of localizing damage and indicating relative damage severity is defined without requiring information of healthy structures. Finally, numerical and experimental examples of beams and a frame with cracks are studied to demonstrate the advantages of the proposed damage identification method in terms of noise robustness and accuracy.

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References

Sohn, H. , Farrar, C. R. , Hemez, F. M. , and Czarnecki, J. J. , 2002, “ A Review of Structural Health Monitoring Literature: 1996-2001,” Los Alamos National Laboratory, Los Alamos, NM, Report No. LA-UR-02-2095. https://www.researchgate.net/publication/236499183_A_Review_of_Structural_Health_Review_of_Structural_Health_Monitoring_Literature_1996-2001
Yan, Y. , Cheng, L. , Wu, Z. , and Yam, L. , 2007, “ Development in Vibration-Based Structural Damage Detection Technique,” Mech. Syst. Signal Process., 21(5), pp. 2198–2211. [CrossRef]
Isidori, D. , Concettoni, E. , Cristalli, C. , Soria, L. , and Lenci, S. , 2016, “ Proof of Concept of the Structural Health Monitoring of Framed Structures by a Novel Combined Experimental and Theoretical Approach,” Struct. Control Health Monit., 23(5), pp. 802–824. [CrossRef]
Farrar, C. R. , and Worden, K. , 2012, Structural Health Monitoring: A Machine Learning Perspective, Wiley, Chichester, UK. [CrossRef]
Doebling, S. W. , Farrar, C. R. , and Prime, M. B. , 1998, “ A Summary Review of Vibration-Based Damage Identification Methods,” Shock Vib. Dig., 30(2), pp. 91–105. [CrossRef]
Montalvao, D. , Maia, N. M. M. , and Ribeiro, A. M. R. , 2006, “ A Review of Vibration-Based Structural Health Monitoring With Special Emphasis on Composite Materials,” Shock Vib. Dig., 38(4), pp. 295–326. [CrossRef]
Ratcliffe, C. P. , 2000, “ A Frequency and Curvature Based Experimental Method for Locating Damage in Structures,” ASME J. Vib. Acoust., 122(3), pp. 324–329. [CrossRef]
Xu, W. , Zhu, W. , Smith, S. A. , and Cao, M. S. , 2016, “ Structural Damage Detection Using Slopes of Longitudinal Vibration Shapes,” ASME J. Vib. Acoust., 138(3), p. 034501. [CrossRef]
Andreaus, U. , and Baragatti, P. , 2011, “ Cracked Beam Identification by Numerically Analysing the Nonlinear Behaviour of the Harmonically Forced Response,” J. Sound Vib., 330(4), pp. 721–742. [CrossRef]
Peng, Z. , Lang, Z. , and Chu, F. , 2008, “ Numerical Analysis of Cracked Beams Using Nonlinear Output Frequency Response Functions,” Comput. Struct., 86(17–18), pp. 1809–1818. [CrossRef]
Surace, C. , Ruotolo, R. , and Storer, D. , 2011, “ Detecting Nonlinear Behaviour Using the Volterra Series to Assess Damage in Beam-Like Structures,” J. Theor. Appl. Mech., 49(3), pp. 905–926. http://www.ptmts.org.pl/2011-3-surace-in.pdf
Yao, Y. , Tung, S. T. E. , and Glisic, B. , 2014, “ Crack Detection and Characterization Techniques—An Overview,” Struct. Control Health Monit., 21(12), pp. 1387–1413. [CrossRef]
Liu, C. , Jiang, D. , and Chu, F. , 2015, “ Influence of Alternating Loads on Nonlinear Vibration Characteristics of Cracked Blade in Rotor System,” J. Sound Vib., 353, pp. 205–219. [CrossRef]
Labib, A. , Kennedy, D. , and Featherston, C. , 2014, “ Free Vibration Analysis of Beams and Frames With Multiple Cracks for Damage Detection,” J. Sound Vib., 333(20), pp. 4991–5003. [CrossRef]
Andreaus, U. , Casini, P. , and Vestroni, F. , 2007, “ Non-Linear Dynamics of a Cracked Cantilever Beam Under Harmonic Excitation,” Int. J. Non-Linear Mech., 42(3), pp. 566–575. [CrossRef]
Asnaashari, E. , and Sinha, J. K. , 2014, “ Development of Residual Operational Deflection Shape for Crack Detection in Structures,” Mech. Syst. Signal Process., 43(1–2), pp. 113–123. [CrossRef]
Saravanan, K. , and Sekhar, A. , 2013, “ Crack Detection in a Rotor by Operational Deflection Shape and Kurtosis Using Laser Vibrometer Measurements,” J. Vib. Control, 19(8), pp. 1227–1239. [CrossRef]
Andreaus, U. , and Casini, P. , 2016, “ Identification of Multiple Open and Fatigue Cracks in Beam-Like Structures Using Wavelets on Deflection Signals,” Continuum Mech. Thermodyn., 28(1–2), pp. 361–378. [CrossRef]
Pai, P. , Young, L. , and Lee, S. , 2003, “ A Dynamics-Based Method for Crack Detection and Estimation,” Struct. Health Monit., 2(1), pp. 5–25. [CrossRef]
Kerschen, G. , Golinval, J. C. , Vakakis, A. F. , and Bergman, L. A. , 2005, “ The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview,” Nonlinear Dyn., 41(1–3), pp. 147–169. [CrossRef]
Bellino, A. , Fasana, A. , Garibaldi, L. , and Marchesiello, S. , 2010, “ PCA-Based Detection of Damage in Time-Varying Systems,” Mech. Syst. Signal Process., 24(7), pp. 2250–2260. [CrossRef]
Wu, C. , Liang, Y. , Lin, W. , Lee, H. , and Lim, S. , 2003, “ A Note on Equivalence of Proper Orthogonal Decomposition Methods,” J. Sound Vib., 265(5), pp. 1103–1110. [CrossRef]
Liang, Y. , Lee, H. , Lim, S. , Lin, W. , Lee, K. , and Wu, C. , 2002, “ Proper Orthogonal Decomposition and Its Applications—Part I: Theory,” J. Sound Vib., 252(3), pp. 527–544. [CrossRef]
Galvanetto, U. , Surace, C. , and Tassotti, A. , 2008, “ Structural Damage Detection Based on Proper Orthogonal Decomposition: Experimental Verification,” AIAA J., 46(7), pp. 1624–1630. [CrossRef]
Shane, C. , and Jha, R. , 2011, “ Proper Orthogonal Decomposition Based Algorithm for Detecting Damage Location and Severity in Composite Beams,” Mech. Syst. Signal Process., 25(3), pp. 1062–1072. [CrossRef]
Thiene, M. , Zaccariotto, M. , and Galvanetto, U. , 2013, “ Application of Proper Orthogonal Decomposition to Damage Detection in Homogeneous Plates and Composite Beams,” J. Eng. Mech., 139(11), pp. 1539–1550. [CrossRef]
Marin, L. , Döhler, M. , Bernal, D. , and Mevel, L. , 2015, “ Robust Statistical Damage Localization With Stochastic Load Vectors,” Struct. Control Health Monit., 22(3), pp. 557–573. [CrossRef]
Basseville, M. , Mevel, L. , and Goursat, M. , 2004, “ Statistical Model-Based Damage Detection and Localization: Subspace-Based Residuals and Damage-to-Noise Sensitivity Ratios,” J. Sound Vib., 275(3–5), pp. 769–794. [CrossRef]
Theis, F. J. , and Inouye, Y. , 2006, “ On the Use of Joint Diagonalization in Blind Signal Processing,” IEEE International Symposiuum on Circuits And Systems (ISCAS), Island of Kos, Greece, May 21–24, pp. 3586–3589.
Cichocki, A. , and Amari, S. , 2002, Adaptive Blind Signal and Image Processing: Learning Algorithms and Applications, Wiley, Chichester, UK.
Antoni, J. , Castiglione, R. , and Garibaldi, L. , 2017, “ Interpretation and Generalization of Complexity Pursuit for the Blind Separation of Modal Contributions,” Mech. Syst. Signal Process., 85, pp. 773–788. [CrossRef]
Yang, Z. , Chen, X. , Tian, S. , and He, Z. , 2012, “ Multiple Damages Detection in Beam Based Approximate Waveform Capacity Dimension,” Struct. Eng. Mech., 41(5), pp. 663–673. [CrossRef]
Mendrok, K. , and Uhl, T. , 2011, “ Experimental Verification of the Damage Localization Procedure Based on Modal Filtering,” Struct. Health Monit., 10(2), pp. 157–171. [CrossRef]
Lee, E. T. , and Eun, H. C. , 2015, “ Damage Detection of Steel Beam Using Frequency Response Function Measurement Data and Fractal Dimension,” ASME J. Vib. Acoust., 137(3), p. 034503. [CrossRef]
Hadjileontiadis, L. , Douka, E. , and Trochidis, A. , 2005, “ Fractal Dimension Analysis for Crack Identification in Beam Structures,” Mech. Syst. Signal Process., 19(3), pp. 659–674. [CrossRef]
Bai, R. , Ostachowicz, W. , Cao, M. , and Su, Z. , 2014, “ Crack Detection in Beams in Noisy Conditions Using Scale Fractal Dimension Analysis of Mode Shapes,” Smart Mater. Struct., 23(6), p. 065014. [CrossRef]
Qiao, P. , and Cao, M. , 2008, “ Waveform Fractal Dimension for Mode Shape-Based Damage Identification of Beam-Type Structures,” Int. J. Solids Struct., 45(22), pp. 5946–5961. [CrossRef]
Douka, E. , Loutridis, S. , and Trochidis, A. , 2003, “ Crack Identification in Beams Using Wavelet Analysis,” Int. J. Solids Struct., 40(13), pp. 3557–3569. [CrossRef]
Antoni, J. , and Chauhan, S. , 2013, “ A Study and Extension of Second-Order Blind Source Separation to Operational Modal Analysis,” J. Sound Vib., 332(4), pp. 1079–1106. [CrossRef]
Rainieri, C. , and Fabbrocino, G. , 2014, Operational Modal Analysis of Civil Engineering Structures, Springer, Berlin. [CrossRef]
Ratcliffe, C. P. , 1997, “ Damage Detection Using a Modified Laplacian Operator on Mode Shape Data,” J. Sound Vib., 204(3), pp. 505–517. [CrossRef]
Maia, N. M. M. , and Silva, J. M. M. , 1997, Theoretical and Experimental Modal Analysis, Research Studies Press, Baldock, UK.

Figures

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Fig. 1

Singular value plot of numerical example 1 in Sec. 4

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Fig. 2

Illustration of the adaptive GSM

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Fig. 3

Meshed cantilever beam with two open cracks of 20% depth

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Fig. 4

The relative errors  Eϕ with nlevel=10%: (a) first CDS, (b) second CDS, and (c) third CDS

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Fig. 5

CDSs and their curvatures of a beam with two open cracks of 20% depth

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Fig. 6

DI values of a beam with two open cracks of three depth levels: (a) 2% depth using adaptive GSM, (b) 20% depth using adaptive GSM, (c) 2% depth using GSM, and (d) 20% depth using GSM

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Fig. 7

Meshed cantilever beam with two breathing cracks of 20% depth

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Fig. 8

CDS’s and their curvatures of a beam with two breathing cracks of 20% depth

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Fig. 9

DI values of a beam with two breathing cracks of three depth levels: (a) 2% depth using adaptive GSM, (b) 20% depth using adaptive GSM, (c) 2% depth using GSM, and (d) 20% depth using GSM

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Fig. 10

A two-storey frame structure with two breathing cracks of 10% depth

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Fig. 11

Damage identification results: (a) breathing crack 1 and (b) breathing crack 2

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Fig. 12

An experimental cantilever beam with two cracks

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Fig. 13

Power spectral density: (a) output signal of PSV 500 and (b) practical input force

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Fig. 14

Singular values of Ry¯y¯(0) in descending order

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Fig. 15

CDS’s and their curvatures of a beam with two cracks of 20% depth

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Fig. 16

DI values of a beam with two cracks of 20% depth: (a) adaptive GSM and (b) GSM

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Fig. 17

DI values of a beam with two cracks of 30% depth: (a) adaptive GSM and (b) GSM

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