DOI QR코드

DOI QR Code

Damage observability, localization and assessment based on eigenfrequencies and eigenvectors curvatures

  • Ciambella, Jacopo (Dipartimento di Ingegneria Strutturale e Geotecnica, Universita di Roma "La Sapienza") ;
  • Vestroni, Fabrizio (Dipartimento di Ingegneria Strutturale e Geotecnica, Universita di Roma "La Sapienza") ;
  • Vidoli, Stefano (Dipartimento di Ingegneria Strutturale e Geotecnica, Universita di Roma "La Sapienza")
  • Received : 2010.06.05
  • Accepted : 2011.05.15
  • Published : 2011.08.25

Abstract

A technique for damage localization and assessment based on measurements of both eigenvectors curvatures and eigenfrequencies is proposed. The procedure is based on two successive steps: a model independent localization, based on changes of modal curvatures, and the solution of a one-dimensional minimization problem to evaluate damage intensity. The observability properties of damage parameters is discussed and, accordingly, a suitable change of coordinates is introduced. The proposed technique is illustrated with reference to a cantilever Euler beam endowed with a set of piezoelectric transducers. To assess the robustness of the algorithm, a parametric study of the identification errors with respect to the number of transducers and to the number of considered modal quantities is carried out with both clean and noise-corrupted data.

Keywords

References

  1. Abdel Wahab, M.M. and Roeck, G. D. (1999), "Damage detection in bridges using modal curvatures: application to a real damage scenario", J. Sound Vib., 226(2), 217-235. https://doi.org/10.1006/jsvi.1999.2295
  2. Bernal, D. (2002), "Load vectors for damage localization", J. Eng. Mech.- ASCE, 128(1), 7-14. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(7)
  3. Casciati, S. (2008), "Stiffness identification and damage localization via differential evolution algorithms", Struct. Health Monit., 15(3), 436-449. https://doi.org/10.1002/stc.236
  4. Chang, P.C., Flatau, A. and Liu, S.C. (2003), "Review paper: health monitoring of civil infrastructure", Struct. Health Monit., 2(3), 257-267. https://doi.org/10.1177/1475921703036169
  5. Dell'Isola, F., Maurini, C. and Porfiri, M. (2004), "Passive damping of beam vibrations through distributed electric networks and piezoelectric transducers: prototype design and experimental validation", Smart Mater. Struct., 13(2), 299-308. https://doi.org/10.1088/0964-1726/13/2/008
  6. Dilena, M. and Morassi, A. (2002), "Identification of crack location in vibrating beams from changes in node positions", J. Sound Vib., 255(5), 915-930. https://doi.org/10.1006/jsvi.2001.4194
  7. Doebling, S.W., Farrar, C.R. and Prime, M.B. (1998). "A summary review of vibration-based damage identification methods", Identification Methods, Shock Vib., 30, 91-105. https://doi.org/10.1177/058310249803000201
  8. Friswell, M.I. and Penny, J.E.T. (1997), "Is damage location using vibration measurements practical?", Proceedings of the EUROMECH 365 International Workshop: DAMAS97, Structural Damage Assessment Using Advanced Signal Processing Procedures, Sheffield, UK.
  9. Friswell, M.I., Penny, J.E.T. and Wilson, D.A.L. (1994), "Using vibration data and statistical measures to locate damage in structures", J. Analytical and Experimental Modal Analysis, 9(4), 239-254.
  10. Gladwell, G.M.L. and Morassi, A. (1999), "Estimating damage in a rod from changes in node positions", Inverse Probl., 7(3), 215-233. https://doi.org/10.1080/174159799088027695
  11. Kim, J.T., Park, J.H., Yoon, H.S. and Yi, J.H. (2007), "Vibration-based damage detection in beams using genetic algorithm", Smart Struct. Syst., 3(3), 263-280. https://doi.org/10.12989/sss.2007.3.3.263
  12. Kim, J.T., Ryu, Y.S., Cho, H.M. and Stubbs, N. (2003), "Damage identification in beam-type structures: frequency based method vs mode-shape-based method", Eng. Struct., 25(1), 57-67. https://doi.org/10.1016/S0141-0296(02)00118-9
  13. Lanata, F. and Del Grosso, A. (2006), "Damage detection and localization for continuous static monitoring of structures using a proper orthogonal decomposition of signals", Smart Mater. Struct., 15(6), 1811-1829. https://doi.org/10.1088/0964-1726/15/6/036
  14. Lestari, W., Qiao, P. and Hanagud, S. (2007), "Curvature mode shape-based damage assessment of carbon/epoxy composite beams", J. Intel. Mat. Syst. Struct., 18(3), 189-208. https://doi.org/10.1177/1045389X06064355
  15. Mendrok, K. and Uhl, T. (2010), "The application of modal filters for damage detection", Smart Struct. Syst., 6(2), 115-133. https://doi.org/10.12989/sss.2010.6.2.115
  16. Montalvao, D., Maia, N.M.M. and Ribeiro, A.M.R. (2006), "A review of vibration-based structural health monitoring with special emphasis on composite materials", Shock Vib., 38(4), 295-324. https://doi.org/10.1177/0583102406065898
  17. Morassi, A. and Vestroni, F. (2008), "Dynamic methods for damage detection in structures", Number 499 in CISM International Centre for Mechanical Sciences. Springer.
  18. 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. https://doi.org/10.1016/0022-460X(91)90595-B
  19. Park, G., Cudney, H.H. and Inman, D.J. (2000), "An integrated health monitoring technique using structural impedance sensors", J. Intel. Mat. Syst. Struct., 11(6), 448-455. https://doi.org/10.1106/QXMV-R3GC-VXXG-W3AQ
  20. Park, G. and Inman, D.J. (2007), "Structural health monitoring using piezoelectric impedance measurements", Philos.T. R. Soc. A., 365(1851), 373-392. https://doi.org/10.1098/rsta.2006.1934
  21. Park, G., Sohn, H., Farrar, C.R. and Inman, D.J. (2003), "Overview of piezoelectric impedance-based health monitoring and path forward", Shock Vib., 35(6), 451-463. https://doi.org/10.1177/05831024030356001
  22. Unger, J.F., Teughels, A. and Roeck, G.D. (2006), "System identification and damage detection of a prestressed concrete beam", J. Struct. Eng.-ASCE, 132(11), 1691-1698. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:11(1691)
  23. Vestroni, F. and Capecchi, D. (2000), "Damage detection in beam structures based on frequency measurements", J. Eng. Mech.-ASCE, 126(7), 761-768. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:7(761)

Cited by

  1. Damage identification in a parabolic arch by means of natural frequencies, modal shapes and curvatures vol.51, pp.11, 2016, https://doi.org/10.1007/s11012-016-0510-3
  2. Wavelet analysis based damage localization in steel frames with bolted connections vol.18, pp.6, 2016, https://doi.org/10.12989/sss.2016.18.6.1189
  3. Damage detection in beam-like composite structures via Chebyshev pseudo spectral modal curvature vol.168, 2017, https://doi.org/10.1016/j.compstruct.2017.01.087
  4. The use of modal curvatures for damage localization in beam-type structures vol.340, 2015, https://doi.org/10.1016/j.jsv.2014.11.037
  5. Detection of local matrix cracks in composite beam using modal data and modular radial basis neural networks vol.6, pp.2, 2017, https://doi.org/10.1007/s41683-017-0013-z
  6. Vibration based damage localization using MEMS on a suspension bridge model vol.12, pp.6, 2013, https://doi.org/10.12989/sss.2013.12.6.679
  7. Damage detection of framed structures subjected to earthquake excitation using discrete wavelet analysis vol.15, pp.1, 2017, https://doi.org/10.1007/s10518-016-9962-z
  8. Effective filtering of modal curvatures for damage identification in beams vol.199, 2017, https://doi.org/10.1016/j.proeng.2017.09.119
  9. Structural health monitoring of the Jiangyin Bridge: system upgrade and data analysis vol.11, pp.6, 2013, https://doi.org/10.12989/sss.2013.11.6.637
  10. An efficient method for structural damage localization based on the concepts of flexibility matrix and strain energy of a structure vol.46, pp.2, 2011, https://doi.org/10.12989/sem.2013.46.2.231
  11. Damage assessment based on static and dynamic responses applied to foundation beams vol.72, pp.5, 2011, https://doi.org/10.12989/sem.2019.72.5.585