Nondestructive Evaluation of Damage in Beams Using Displacement Curvature

Authors

1 M.Sc., Department of Civil Engineering, Shomal University, Amol, Iran

2 Assistant Professor, Department of Civil Engineering, Shomal University, Amol, Iran

3 Assistant Professor, Department of Civil Engineering, University of Mazandaran, Babolsar, Iran

Abstract

In this paper, the capabilities of displacement curvature derived from static response data for finding the location and severity of damage in Euler-Bernoulli beams are assessed. Static response of a beam is obtained using the finite element modeling. In order to reduce the number of measured nodal displacements, the beam deflection is fitted through a polynomial function using a limited number of nodal displacements. An indicator based on displacement curvature obtained for healthy and damaged structure is utilized to identify the damage. The influence of many parameters may affect the efficiency of the method such as the number of elements, the value and location of applied load as well as noise effect is investigated. Two test examples including a simply supported and a cantilever beam are considered. Numerical results show that using the method, the locations of single and multiple damage cases having different characteristics can be well determined.

Keywords

References

[1] Pandey, A.K., Biswas, M., Samman, M.M. (1991). “Damage detection from changes in curvature mode shapes”. Journal of Sound and Vibration, Vol. 145, No. 2, pp. 321–332.
[2] Zhao, J., Dewolf, J.T. (1999). “Sensitivity study for vibrational parameters used in damage detection”. Journal of Structural Engineering ASCE, Vol. 125, No. 4, pp. 410–416.
[3] Abdo, M.A-B., Hori, M. (2002). “A numerical study of structural damage detection using changes in the rotation of mode shapes”. Journal of Sound and Vibration, Vol. 251, No. 2, pp. 227–239.
[4] Alvandi, A.,Cremona, C. (2006). “Assessment of vibration-based damage identification techniques”. Journal of Sound and Vibration, Vol. 292, No. 1-2, pp. 179-202.
[5] Shih, H.W., Thambiratnam, D.P., Chan, T.H.T. (2009). “Vibration based structural damage detection in flexural members using multi-criteria approach”. Journal of Sound and Vibration, Vol. 323, No. 3-5, pp. 645-661.
[6] Lee, J.W., Choi, K.H., Huh, Y.C. (2010). “Damage detection method for large structures using static and dynamic strain data from distributed fiber optic sensor”. International Journal of Steel Structures, Vol. 10, No. 1, pp. 91–97.
[7] Nobahari, M., Seyedpoor, S.M. (2011). “Structural damage detection using an efficient correlation-based index and a modified genetic algorithm”. Mathematical and Computer Modelling, Vol. 53, No. 9-10, pp.1798-1809.
[8] Seyedpoor, S.M. (2011). “Structural damage detection using a multi-stage particle swarm optimization”. Advances in Structural Engineering, Vol. 14, No. 3, pp. 533-549.
[9] Seyedpoor, S.M. (2012). “A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization”. International Journal of Nonlinear Mechanics, Vol. 47, No. 1, pp. 1-8.
[10] Nobahari, M., Seyedpoor, S.M. (2013). “An efficient method for structural damage localization based on the concepts of flexibility matrix and strain energy of a structure”. Structural Engineering and Mechanics, Vol. 46, No. 2, pp. 231-244.
[11] Sanayei, M., Scampoli, S. (1991). “Structural element stiffness identification from static test data”. Journal of Engineering Mechanics ASCE, Vol. 117, No. 5, pp. 1021-1036.
[12] Banan, M.R., Hjelmstad, K.D. (1994). “Parameter estimation of structures from static response. I: Computational aspects”. Journal of Structural Engineering ASCE, Vol. 120, No. 11, pp. 3243–3258.
[13] Banan, M.R., Hjelmstad, K.D. (1994). “Parameter estimation of structures from static response. II: Numerical simulation studies”. Journal of Structural Engineering ASCE, Vol. 120, No. 11, pp. 3259–3283.
[14] Chen, X.Z., Zhu, H.P., Chen, C.Y. (2005). “Structural damage identification using test static data based on grey system theory”. Journal ofZhejiangUniversity SCIENCE, Vol. 6, No. 8, pp. 790–796.
[15] Abdo, M. A-B. (2012). “Parametric study of using only static response in structural damage detection”. Engineering Structures, Vol. 34, pp. 124-131.
[16] Seyedpoor, S.M., Yazdanpanah, O. (2013). “An efficient indicator for structural damage localization using the change of strain energy based on static noisy data”. Applied Mathematical Modelling, doi: http://dx.doi.org/10.1016/j.apm.2013.10.072 (in Press).
[17] Beer, F.P., Johnston, E.R., DeWolf, J.T. (2002). “Mechanics of Materials”. 3rd Edition, McGraw-Hill, New York.
[18] Ndambi, J.M., Vantomme, J., Harri, K. (2002). “Damage assessment in reinforced concrete beams using eigenfrequencies and mode shape derivatives”.  Engineering Structures, Vol. 24, Np. 4, pp. 501–515.
[19] MATLAB (R2010b). “The language of technical computing (software)”. Math Works Inc.

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History

  • Receive Date: 27 May 2014
  • Accept Date: 27 May 2014

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