Browse > Article
http://dx.doi.org/10.12989/sem.2015.53.4.725

A new damage detection indicator for beams based on mode shape data  

Yazdanpanah, O. (Department of Civil Engineering, Shomal University)
Seyedpoor, S.M. (Department of Civil Engineering, Shomal University)
Bengar, H. Akbarzadeh (Department of Civil Engineering, University of Mazandaran)
Publication Information
Structural Engineering and Mechanics / v.53, no.4, 2015 , pp. 725-744 More about this Journal
Abstract
In this paper, a new damage indicator based on mode shape data is introduced to identify damage in beam structures. In order to construct the indicator proposed, the mode shape, mode shape slope and mode shape curvature of a beam before and after damage are utilized. Mode shape data of the beam are first obtained here using a finite element modeling and then the slope and curvature of mode shape are evaluated via the central finite difference method. In order to assess the robustness of the proposed indicator, two test examples including a simply supported beam and a two-span beam are considered. Numerical results demonstrate that using the proposed indicator, the location of single and multiple damage cases having different characteristics can be accurately determined. Moreover, the indicator shows a better performance when compared with a well-known indicator found in the literature.
Keywords
damage detection; damage indicator; beam structure; mode shape data;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Abdo, M.A.B. and Hori, M. (2002), "A numerical study of structural damage detection using changes in the rotation of mode shapes", J. Sound Vib., 251(2), 227-239.   DOI
2 Abdel Wahab, M.M. and De Roeck, G. (1999), "Damage detection in bridges using modal curvatures: application to a real damage scenario", J. Sound Vib., 226(2), 217-235.   DOI
3 Cawley, P. and Adams, R.D. (1979), "The location of defects in structures from measurements of natural frequency", J. Strain Anal. Eng. Des., 14(2), 49-57.   DOI
4 Doebling, S.W., Farrar, C.R., Prime, M.B. and Shevits, D.W. (1996), "Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review", Los Alamos Natl. Lab., USA, 1, 1-136.
5 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), 91-105.   DOI
6 Fallahian, S. and Seyedpoor, S.M. (2010), "A two stage method for structural damage identification using an adaptive neuro-fuzzy inference system and particle swarm optimization", Asian J. Civil Eng., Build. Hous., 11(6), 797-810.
7 Gholizadeh, S. and Barzagar, A. (2013), "Shape optimization of structures for frequency constraints by sequential harmony search algorithm", Eng. Optim., 45(6), 627-646.   DOI
8 Ho, Y.K. and Ewins, D.J. (2000), "On the structural damage identification with mode shapes", Proceedings of the European COST F3 Conference on System Identification and Structural Health Monitoring, 1, Madrid, Spain.
9 Koh, B.H. and Dyke, S.J. (2007), "Structural health monitoring for flexible bridge structures using correlation and sensitivity of modal data", Comput. Struct., 85(3-4), 117-130.   DOI
10 Lieven, N.A.J. and Ewins, D.J. (1988), "Spatial correlation of mode shapes: the coordinate modal assurance criterion (COMAC)", Proceedings of the 6th International Modal Analysis Conference, 1, Kissimmee, Florida, USA.
11 Messina, A., Jones, I.A. and Williams, E.J. (1992), "Damage detection and localization using natural frequency changes", Proceedings of the Conference on Identification in Engineering System, Cambridge, UK, 1, 67-76.
12 Messina, A., Williams, E.J. and Contursi, T. (1998), "Structural damage detection by a sensitivity and statistical-based method", J. Sound Vib., 216(5), 791-808.   DOI
13 Nobahari, M. and Seyedpoor, S.M. (2011), "Structural damage detection using an efficient correlation based index and a modified genetic algorithm", Math. Comput. Model., 53(9-10), 1798-1809.   DOI
14 Nobahari, M. and Seyedpoor, S.M. (2013), "An efficient method for structural damage localization based on the concepts of flexibility matrix and strain energy of a structure", Struct. Eng. Mech., 46(2), 231-244.   DOI   ScienceOn
15 Pandey, A.K., Biswas, M. and Samman, M.M. (1991), "Damage detection from changes in curvature mode shapes", J. Sound Vib., 145(2), 321-332.   DOI
16 Pandey, A.K. and Biswas, M. (1994), "Damage detection in structures using changes in flexibility", J. Sound Vib., 169(1), 3-17.   DOI
17 Rytter, A. (1993), "Vibration Based Inspection of Civil Engineering Structures", PhD Thesis, Aalborg University, Denmark.
18 Rizos, P.F., Aspragathos, N. and Dimarogonas, A.D. (1990), "Identification of crack location and magnitude in a cantilever beam from the vibration modes", J. Sound Vib., 138(3), 381-388.   DOI
19 Shih, H.W., Thambiratnam, D.P. and Chan, T.H.T. (2009), "Vibration based structural damage detection in flexural members using multi-criteria approach", J. Sound Vib., 323(3-5), 645-661.   DOI
20 Sinou, J.J. (2007), "a robust identification of single crack location and size only based on pulsations of the cracked systems", Struct. Eng. Mech., 25(6), 691-716.   DOI
21 Seyedpoor, S.M. (2012), "A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization", Int. J. Nonlin. Mech., 47(1), 1-8.
22 Seyedpoor, S.M. and Yazdanpanah, O. (2014), "An efficient indicator for structural damage localization using the change of strain energy based on static noisy data", Appl. Math. Modelling, 38(9-10), 2661-2672.   DOI
23 Sinha, J.K., Friswell, M.I. and Edwards, S. (2002), "Simplified models for the location of cracks in beam structures using measured vibration data", J. Sound Vib., 251(1), 13-38.   DOI
24 West, W.M. (1984), "Illustration of the use of modal assurance criterion to detect structural changes in an orbiter test specimen", Proceedings of the Air Force Conference on Aircraft Structural Integrity, 1, Palm Springs, USA.
25 MATLAB (R2010b), The language of technical computing (software), Math Works Inc.