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Abstract

A damage identification approach is presented using substructure virtual distortion method which takes the advantage of the fast structural reanalysis technique of virtual distortion method. The formulas of substructure virtual distortion method are deduced in frequency domain, and then the frequency response function of the damaged structure is constructed quickly via the superposition of the frequency response function of the intact structure and the frequency responses caused by the damage-coupling virtual distortions of the substructures. The structural damage extents are identified using the measured modal parameters. Two steps are adopted to increase the efficiency of optimization: the modals of finite element model are estimated quickly from the fast constructed frequency response function during the optimization and the primary distortions of the substructures are extracted by contribution analysis to further reduce the computational work. A six-story frame numerical model and an experiment of a cantilever beam are carried out, respectively, to verify the efficiency and accuracy of the proposed method.

Keywords

damage identification frequency domain structural health monitoring substructure virtual distortion method

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References

Akgün

Garcelon

Haftka

(2001) Fast exact linear and nonlinear structural reanalysis and the Sherman–Morrison–Woodbury formulas. International Journal for Numerical Methods in Engineering 50(7): 1587–1606.

Carden

Fanning

(2004) Vibration based condition monitoring: a review. Structural Health Monitoring 3: 355–377.

Craig

(2000) Coupling of substructures for dynamic analysis: an overview. In: Proceedings of the 41st AIAA/ASME/ASCE/ASC structures, structural dynamics, and materials conference, Atlanta, GA, 3–6 April, pp. 171–179. US: the American Institute of Aeronautics and Astronautics.

Doebling

Farrar

Prime

. (1996) Damage Identification and Health Monitoring of Structural and Mechanical System from Changes in Their Characteristics: A Literature Review. Los Alamos, NM: Los Alamos National Laboratory.

Fan

Qiao

(2011) Vibration-based damage identification methods: a review and comparative study. Structural Health Monitoring 10(1): 83–111.

Farrar

Worden

(2007) An introduction to structural health monitoring. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 365: 589–622.

Holnicki-Szulc

(ed.) (2008) Smart Technologies for Safety Engineering. Chichester: John Wiley & Sons Ltd.

Hou

Jankowski

(2012) Experimental study of substructure isolation method for local health monitoring. Structural Control & Health Monitoring 19(4): 491–510.

Hou

Jankowski

(2015) Frequency-domain substructure isolation for local damage identification. Advances in Structural Engineering 18(1): 137–153.

10.

Kołakowski

Wikło

Holnicki-Szulc

(2008) The virtual distortion method—a versatile reanalysis tool for structures and systems. Structural and Multidisciplinary Optimization 36(3): 217–234.

11.

Kress

(1989) Linear Integral Equations (Applied Mathematical Sciences), vol. 82. New York: Springer.

12.

Law

Zhang

Duan

(2010) Structural damage detection from coupling forces between substructures under support excitation. Engineering Structures 32(8): 2221–2228.

13.

Sohn

Farrar

Hemez

. (2001) A Review of Structural Health Monitoring Literature 1996–2001. Los Alamos, NM: Los Alamos National Laboratory.

14.

Swiercz

Kołakowski

Holnicki-Szulc

(2008) Damage identification in skeletal structures using the virtual distortion method in frequency domain. Mechanical Systems and Signal Processing 22(8): 1826–1839.

15.

Wang

(2000) Modal sensitivity analysis of Tsing Ma bridges for structural damage detection. In: SPIE 5th international symposium on nondestructive evaluation and health monitoring of aging infrastructure, Newport Beach, CA, 5–9 March, pp. 300–311.

16.

Weng

Xia

. (2011) An iterative substructuring approach to the calculation of eigensolution and eigensensitivity. Journal of Sound and Vibration 330: 3368–3380.

17.

Xia

Weng

. (2010) Calculation of eigenvalue and eigenvector derivatives with the improved Kron’s substructuring method. Structural Engineering and Mechanics 36: 37–55.

18.

(2011) Optimal sensor placement for structural health monitoring based on multiple optimization strategies. Structural Design of Tall and Special Buildings 20(7): 881–900.

19.

(2013a) Experimental assessment of high-rate GPS receivers for deformation monitoring of bridge. Measurement 46(1): 420–432.

20.

Sun

(2013b) Multi-stage structural damage diagnosis method based on “energy-damage” theory. Smart Structures and Systems 12(3): 345–361.

21.

Zhang

Jankowski

Duan

(2010a) Identification of coexistent load and damage. Structural and Multidisciplinary Optimization 41(2): 243–253.

22.

Zhang

Jankowski

Duan

(2010b) Simultaneous identification of moving masses and structural damage. Structural and Multidisciplinary Optimization 42(6): 907–922.

23.

Zhou

Yan

(2013a) Response surface method based on radial basis functions for modeling large-scale structures in model updating. Computer-Aided Civil and Infrastructure Engineering 28: 210–226.

24.

Zhou

Yan

Wang

. (2013b) Review of benchmark studies and guidelines for structural health monitoring. Advances in Structural Engineering 16(7): 1187–1206.

25.

Zhu

Mao

Weng

(2013) Calculation of dynamic response sensitivity to substructural damage identification under moving load. Advances in Structural Engineering 16(9): 1621–1632.

Damage identification using structural modes based on substructure virtual distortion method

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