Structural Engineering and Mechanics

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An efficient method for structural damage localization based on the concepts of flexibility matrix and strain energy of a structure

  • Received : 2012.09.20
  • Accepted : 2013.03.31
  • Published : 2013.04.25
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Abstract

An efficient method is proposed here to identify multiple damage cases in structural systems using the concepts of flexibility matrix and strain energy of a structure. The flexibility matrix of the structure is accurately estimated from the first few mode shapes and natural frequencies. Then, the change of strain energy of a structural element, due to damage, evaluated by the columnar coefficients of the flexibility matrix is used to construct a damage indicator. This new indicator is named here as flexibility strain energy based index (FSEBI). In order to assess the performance of the proposed method for structural damage detection, two benchmark structures having a number of damage scenarios are considered. Numerical results demonstrate that the method can accurately locate the structural damage induced. It is also revealed that the magnitudes of the FSEBI depend on the damage severity.

Keywords

References

  1. Abdel-Basset Abdo, M. (2011), "Parametric study of using only static response in structural damage detection", Engineering Structures, 34, 124-131.
  2. Alvandi, A. and Cremona, C. (2006), "Assessment of vibration-based damage identification techniques", Journal of Sound and Vibration, 292(1-2), 179-202. https://doi.org/10.1016/j.jsv.2005.07.036
  3. Au, F.T.K., Cheng, Y.S., Tham, L.G. and Bai, Z.Z. (2003), "Structural damage detection based on a microgenetic algorithm using incomplete and noisy modal test data", Journal of Sound and Vibration, 259(3), 1081-1094. https://doi.org/10.1006/jsvi.2002.5116
  4. Bakhtiari-Nejad, F., Rahai, A. and Esfandiari, A. (2005), "A structural damage detection method using static noisy data", Engineering Structures, 27(12), 1784-1793. https://doi.org/10.1016/j.engstruct.2005.04.019
  5. Ciambella, J., Vestroni, F. and Vidoli, S. (2011), "Damage observability, localization and assessment based on eigenfrequencies and eigenvectors curvatures", Smart Structures and Systems, 8(2), 191-204. https://doi.org/10.12989/sss.2011.8.2.191
  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 Journal of Civil Engineering (Building and Housing), 11(6), 797-810.
  7. Gomes, H.M. and Silva, N.R.S. (2008), "Some comparisons for damage detection on structures using genetic algorithms and modal sensitivity method", Applied Mathematical Modelling, 32(11), 2216-2232. https://doi.org/10.1016/j.apm.2007.07.002
  8. Guo, H.Y. and Li, Z.L. (2009), "A two-stage method to identify structural damage sites and extents by using evidence theory and micro-search genetic algorithm", Mechanical Systems and Signal Processing, 23(3), 769-782. https://doi.org/10.1016/j.ymssp.2008.07.008
  9. He, R.S. and Hwang, S.F. (2007), "Damage detection by a hybrid real-parameter genetic algorithm under the assistance of grey relation analysis", Engineering Application of Artificial Intelligence, 20(7), 980-992. https://doi.org/10.1016/j.engappai.2006.11.020
  10. Koh, B.H. and Dyke, S.J. (2007), "Structural health monitoring for flexible bridge structures using correlation sensitivity modal data", Computers and Structures, 85(3-4), 117-130. https://doi.org/10.1016/j.compstruc.2006.09.005
  11. Messina, A., Williams, E.J. and Contursi, T. (1998), "Structural damage detection by a sensitivity and statistical-based method", Journal of Sound and Vibration, 216(5), 791-808. https://doi.org/10.1006/jsvi.1998.1728
  12. Nobahari, M. and Seyedpoor, S.M. (2011), "Structural damage detection using an efficient correlation based index and a modified genetic algorithm", Mathematical and Computer Modelling, 53(9-10), 1798-1809. https://doi.org/10.1016/j.mcm.2010.12.058
  13. Pandey, A.K. and Biswas, M. (1994), "Damage detection in structures using changes in Flexibility", Journal of Sound and Vibration, 169(1), 3-17. https://doi.org/10.1006/jsvi.1994.1002
  14. 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, 47(1), 1-8.
  15. Shih, H.W. Thambiratnam, D.P. and Chan, T.H.T. (2009), "Vibration based structural damage detection in flexural members using multi-criteria approach", Journal of Sound and Vibration, 323(3-5), 645-661. https://doi.org/10.1016/j.jsv.2009.01.019
  16. Wang, X., Hu, N., Fukunaga, H. and Yao, Z.H. (2001), "Structural damage identification using static test data and changes in frequencies", Engineering Structures, 23(6), 610-621. https://doi.org/10.1016/S0141-0296(00)00086-9
  17. Yan, G., Guo, W., Dyke, S.J., Hackmann, G. and Lu, C. (2010), "Experimental validation of a multi-level damage localization technique with distributed computation", Smart Structures and Systems, 6(5-6), 561- 578. https://doi.org/10.12989/sss.2010.6.5_6.561
  18. MATLAB (2006), The language of technical computing (software), Math Works Inc.

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