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

다국어 초록 (Multilingual 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.

참고문헌 (Reference)

1 Sinou, J. J., "a robust identification of single crack location and size only based on pulsations of the cracked systems" 25 (25): 691-716, 2007

2 Shih, H. W., "Vibration based structural damage detection in flexural members using multi-criteria approach" 323 (323): 645-661, 2009

3 Rytter, A., "Vibration Based Inspection of Civil Engineering Structures" Aalborg University 1993

4 Cawley, P., "The location of defects in structures from measurements of natural frequency" 14 (14): 49-57, 1979

5 MATLAB, "The language of technical computing (software)"

6 Koh, B.H., "Structural health monitoring for flexible bridge structures using correlation and sensitivity of modal data" 85 (85): 117-130, 2007

7 Nobahari, M., "Structural damage detection using an efficient correlation based index and a modified genetic algorithm" 53 (53): 1798-1809, 2011

8 Messina, A., "Structural damage detection by a sensitivity and statistical-based method" 216 (216): 791-808, 1998

9 Lieven, N.A.J., "Spatial correlation of mode shapes: the coordinate modal assurance criterion (COMAC)" 1988

10 Sinha, J. K., "Simplified models for the location of cracks in beam structures using measured vibration data" 251 (251): 13-38, 2002

11 Gholizadeh, S., "Shape optimization of structures for frequency constraints by sequential harmony search algorithm" 45 (45): 627-646, 2013

12 Ho, Y.K., "On the structural damage identification with mode shapes" 2000

13 West, W. M., "Illustration of the use of modal assurance criterion to detect structural changes in an orbiter test specimen" 1984

14 Rizos, P. F., "Identification of crack location and magnitude in a cantilever beam from the vibration modes" 138 (138): 381-388, 1990

15 Doebling, S. W., "Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review" 1 : 1-136, 1996

16 Pandey, A.K., "Damage detection in structures using changes in flexibility" 169 (169): 3-17, 1994

17 Abdel Wahab, M.M., "Damage detection in bridges using modal curvatures:application to a real damage scenario" 226 (226): 217-235, 1999

18 Pandey, A. K., "Damage detection from changes in curvature mode shapes" 145 (145): 321-332, 1991

19 Messina, A., "Damage detection and localization using natural frequency changes" 1992

20 Mehdi Nobahari, "An efficient method for structural damage localization based on the concepts of flexibility matrix and strain energy of a structure" 국제구조공학회 46 (46): 231-244, 2013

21 Seyedpoor, S.M., "An efficient indicator for structural damage localization using the change of strain energy based on static noisy data" 38 (38): 2661-2672, 2014

22 Fallahian, S., "A two stage method for structural damage identification using an adaptive neuro-fuzzy inference system and particle swarm optimization" 11 (11): 797-810, 2010

23 Seyedpoor, S. M., "A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization" 47 (47): 1-8, 2012

24 Doebling, S. W., "A summary review of vibration-based damage identification methods" 30 (30): 91-105, 1998

25 Abdo, M.A.B., "A numerical study of structural damage detection using changes in the rotation of mode shapes" 251 (251): 227-239, 2002