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Damage detection in truss structures using a flexibility based approach with noise influence consideration

  • Received : 2007.04.09
  • Accepted : 2007.08.17
  • Published : 2007.11.30

Abstract

The damage detection process may appear difficult to be implemented for truss structures because not all degrees of freedom in the numerical model can be experimentally measured. In this context, the damage locating vector (DLV) method, introduced by Bernal (2002), is a useful approach because it is effective when operating with an arbitrary number of sensors, a truncated modal basis and multiple damage scenarios, while keeping the calculation in a low level. In addition, the present paper also evaluates the noise influence on the accuracy of the DLV method. In order to verify the DLV behavior under different damages intensities and, mainly, in presence of measurement noise, a parametric study had been carried out. Different excitations as well as damage scenarios are numerically tested in a continuous Warren truss structure subjected to five noise levels with a set of limited measurement sensors. Besides this, it is proposed another way to determine the damage locating vectors in the DLV procedure. The idea is to contribute with an alternative option to solve the problem with a more widespread algebraic method. The original formulation via singular value decomposition (SVD) is replaced by a common solution of an eigenvector-eigenvalue problem. The final results show that the DLV method, enhanced with the alternative solution proposed in this paper, was able to correctly locate the damaged bars, using an output-only system identification procedure, even considering small intensities of damage and moderate noise levels.

Keywords

References

  1. Amani, M.G., Riera, J.D. and Curadelli, R.O. (2006), 'Procedures for structural damage identification through ambient vibrations', Proc. of 4th World Conf. on Structural Control and Monitoring, San Diego, USA
  2. Bernal, D. (2002), 'Load vectors for damage localization', J. Eng. Mech., 128(1), 7-14 https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(7)
  3. Bernal, D. (2004), 'Modal scaling from known added masses', J. Eng. Mech., 130(9), 1083-1088 https://doi.org/10.1061/(ASCE)0733-9399(2004)130:9(1083)
  4. Brincker, R. and Andersen, P. (2003), 'A way of getting scaled mode shapes in output only modal testing', Proc. of 21th Int. Modal Analysis Conf., Kissimmee, USA
  5. Brownjohn, J.M.W., Lee, J. and Cheong, B. (1999), 'Dynamic performance of a curved cable-stayed bridge', Eng. Struct., 21, 1015-1027 https://doi.org/10.1016/S0141-0296(98)00046-7
  6. Cho, H.N., Choi, Y.M., Lee, S.C. and Hur, C.K. (2004), 'Damage assessment of cable stayed bridge using probabilistic neural network', Struct. Eng. Mech., 17(3), 483-492 https://doi.org/10.12989/sem.2004.17.3_4.483
  7. Cunha, A., Caetano, E. and Delgado, R. (2001), 'Dynamic tests on large cable-stayed bridge', J. Bridge Eng., 6(1), 54-62 https://doi.org/10.1061/(ASCE)1084-0702(2001)6:1(54)
  8. Deweer, J. and Dierckx, B. (1999), 'Obtaining a scaled model of panel type structures using acoustic excitation', Proc. of 17th Int. Modal Analysis Conf., Kissimmee, USA
  9. Doebling, S.W., Farrar, C.R., Prime, M.B. and Shevitz, D.W. (1996), 'Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review', Los Alamos National Laboratory Report LA-13070-MS, Los Alamos, USA
  10. Fadel Miguel, L.F., Menezes, R.C.R. and Miguel, L.F.F. (2006a), 'Damage localization using a flexibility based technique', XXVII Iberian Latin American Congress on Computational Methods in Engineering, 2006, Belem, Brazil
  11. Fadel Miguel, L.F., Miguel, L.F.F., Menezes, R.C.R. and Kaminski Jr., J. (2006b), 'Modal parameter identification of a high voltage transmission line tower subjected to ambient excitation', XXVII Iberian Latin American Congress on Computational Methods in Engineering, 2006, Belem, Brazil
  12. Fadel Miguel, L.F. (2007), 'Identificacao de Sistemas e Avaliacao da Integridade de Estruturas Trelicadas', Ph.D. Thesis, PPGEC, Federal University of Rio Grande do Sui, Porto Alegre, Brazil, 160p
  13. Gao, Y. and Spencer Jr., B.F. (2005), 'Flexibility-based approach for continuous monitoring of civil infrastructure', Proc. of the 9th Int. Conf. on Structural Safety and Reliability, Rome, Italy
  14. He, X., Moaveni, B., Conte, J.P., Elgamal, A., Masri, S.F., Caffrey, J.P., Wahbeh, M., Tasbihgoo, F. and Whang, D.H. (2005), 'System identification of new carquinez bridge using ambient vibration data', Proc. of the Int. Conf. on Experimental Vibration Analysis for Civil Engineering Structures (EVACES'05), Bordeaux, France
  15. Hu, N., Wang, X., Fukunaga, H., Yao, Z.H., Zhang, H.X. and Wu, Z.S. (2001), 'Damage assessment of structures using modal test data', Int. J. Solids Struct., 38(18), 3111-3126 https://doi.org/10.1016/S0020-7683(00)00292-4
  16. Kaminski Jr., J. and Riera, J.D. (1996), 'Structural damage detection by means vibration test', Proc. of the 14th Int. Conf. on Structural Mechanics in Reactor Technology - SMiRT 14, Lyon, Franca
  17. Kim, B.H., Park, T. and Voyiadjis, G.Z. (2006), 'Damage estimation on beam-like structures using the multi-resolution analysis', Int. J. Solids Struct., 43(14-15), 4238-4257 https://doi.org/10.1016/j.ijsolstr.2005.07.022
  18. Maeck, J. and de Roeck, G. (2000), 'Experimental and numerical modal analysis of a concrete high speed train railway bridge', Proc. of MCCI'2000 Int. Symposium on Modern Concrete Composites & Infrastructures, Beijing, China
  19. Maity, D. and Tripathy, R.R. (2005), 'Damage assessment of structures from changes in natural frequencies using genetic algorithm', Struct. Eng. Mech., 19(1), 21-42 https://doi.org/10.12989/sem.2005.19.1.021
  20. Pandey, A.K. and Biswas, M. (1994), 'Damage detection in structures using changes in flexibility', J. Sound Vib., 169(1), 3-17 https://doi.org/10.1006/jsvi.1994.1002
  21. Parloo, E., Verboven, P., Guillaume, P. and Van Overmeire, P. (2002), 'Sensitivity-based operational mode shape normalization', Mech. Syst. Signal Pro., 16(5), 757-767 https://doi.org/10.1006/mssp.2002.1498
  22. Peeters, B. and de Roeck, G. (1999), 'Reference-based stochastic subspace identification for output-only modal analysis', Mech. Sys. Signal Pro., 13(6), 855-878 https://doi.org/10.1006/mssp.1999.1249
  23. Peeters, B. and de Roeck, G. (2001), 'Stochastic system identification for operational modal analysis: A review', J. Dyn. Syst., Measurement, Control, 123, 1-9 https://doi.org/10.1115/1.1349884
  24. Qu, W.L., Chen, W. and Xiao, Y.Q. (2003), 'A two-step approach for joint damage diagnosis of framed structures using artificial neural networks', Struct. Eng. Mech., 16(5), 581-595 https://doi.org/10.1296/SEM2003.16.05.04
  25. Ren, W.X., Harik, I.E., Blandford, G.E., Lenett, M. and Baseheart, T.M. (2004), 'Roebling suspension bridge II: Ambient testing and live-load response', J. Bridge Eng., 9(2), 119-126 https://doi.org/10.1061/(ASCE)1084-0702(2004)9:2(119)
  26. Riera, J.D. and Rios, R.D. (2000), 'Evoluyao do amortecimento com o nivel de dano em estruturas de concreto armado', Anais da XXXIX Jornadas Sudamericanas de Ingenieria Estructural, Punta del Este, Uruguai (in Portuguese)
  27. Riera, J.D. (2004), 'Comments on the use of ambient vibration monitoring in the detection of damage in structural systems', 4th Int. Workshop on Structural Control (4 IWSC), New York, USA
  28. Sohn, H., Farrar, C.R., Hemez, F.M., Shunk, D.D., Stinemates, D.W. and Nadler, B.R. (2003), 'A review of structural health monitoring literature: 1996-2001', Los Alamos National Laboratory Report, LA-13976-MS, Los Alamos, USA
  29. Topole, K. (1997), 'Damage evaluation via flexibility formulation', Proc. of SPIE Vol. 3043, Smart Systems for Bridges, Structures, and Highways, San Diego, USA
  30. Van Overschee, P. and de Moor, B. (1993), 'Subspace algorithm for the stochastic identification problem', Automatica, 29(3), 649-660 https://doi.org/10.1016/0005-1098(93)90061-W
  31. Zhao, J. and DeWolf, J.T. (2007), 'Modeling and damage detection for cracked I-shaped steel beams', Struct. Eng. Mech., 25(2), 131-146 https://doi.org/10.12989/sem.2007.25.2.131
  32. Zhu, H.P., Li, J. and Wang, D.S. (2003), 'Damage assessment in periodic structures from measured natural frequencies by a sensitivity and transfer matrix-based method', Struct. Eng. Mech., 16(1), 17-34 https://doi.org/10.12989/sem.2003.16.1.017
  33. Zhu, X.Q. and Law, S.S. (2006), 'Wavelet-based crack identification of bridge beam from operational deflection time history', Int. J. Solids Struct., 43(7-8), 2299-2317 https://doi.org/10.1016/j.ijsolstr.2005.07.024

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