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Structural Dynamic Identification and Damage Detection

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50+ Years of AIMETA

Abstract

Dynamic methods are a powerful tool for studying the behaviour of existing structures and their health conditions. The practical application, however, often raises subtle questions related to the accuracy and completeness of experimental data, the complexity of the mechanical modelling and, ultimately, the inverse nature of the problems that leads to ill-conditioning and non-uniqueness. This chapter addresses some of these aspects, and presents a short overview of the topic, with particular emphasis on dynamic structural identification and damage detection.

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References

  1. Adams, R.D., Cawley, P., Pye, C.J., Stone, B.J.: A vibration technique for nondestructively assessing the integrity of structures. J. Mech. Eng. Sci. 20, 93–100 (1978)

    Article  Google Scholar 

  2. Anastasopoulos, D., Moretti, P., Geernaert, T., De Pauw, B., Nawrot, U., De Roeck, G., Berghmans, F., Reynders, E.: Identification of modal strains using submicrostrain FBG data and a novel wavelength-shift detection algorithm. Mech. Syst. Signal Process. 86, 58–74 (2017)

    Article  Google Scholar 

  3. Barnes, D.C.: The inverse eigenvalue problem with finite data. SIAM J. Math. Anal. 22, 732–753 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  4. Beck, J.L., Katafygiotis, L.S.: Updating models and their uncertainties. J. Eng. Mech. 124, 455–461 (1998)

    Google Scholar 

  5. Beolchini, G.C., Vestroni, F.: Experimental and analytical study of the dynamic behaviour of a bridge: a case of close frequencies. J. Struct. Eng. ASCE 123, 1506–1511 (1997)

    Article  Google Scholar 

  6. Borg, G.: Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte. Acta Math. 78, 1–96 (1946)

    Google Scholar 

  7. Brincker, R., Zhang, L., Andersen, P.: Modal identification of output-only systems using frequency domain decomposition. Smart Mater. Struct. 10, 441–445 (2001)

    Article  Google Scholar 

  8. Caddemi, S., Caliò, I.: Exact reconstruction of multiple concentrated damages on beams. Acta Mech. 225, 3137–3156 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  9. Cannizzaro, F., Impollonia, N., Caddemi, S., Caliò, I.: Explicit dynamic response of damaged beams with application to uncertain and identification problems. J. Sound Vib. 487, Paper 115608 (2020)

    Google Scholar 

  10. Cao, M., Radzienski, M., Xu, W., Ostachowicz, W.: Identification of multiple damage in beams based on robust curvature mode shapes. Mech. Syst. Signal Process. 46, 468–480 (2014)

    Article  Google Scholar 

  11. Capecchi, D., Ciambella, J., Pau, A., Vestroni, F.: Damage identification in a parabolic arch by means of natural frequencies, modal shapes and curvatures. Meccanica 51, 2847–2859 (2016)

    Article  MathSciNet  Google Scholar 

  12. Capecchi, D., Vestroni, F.: Identification of finite elements models in structural dynamics. Eng. Struct. 15, 21–30 (1993)

    Article  Google Scholar 

  13. Capecchi, D., Vestroni, F.: Monitoring of structural systems by using frequency data. Earthquake Eng. Struct. Dynam. 28, 447–461 (1999)

    Article  Google Scholar 

  14. Carden, P.E., Fanning, P.: Vibration based condition monitoring: a review. Struct. Health Monitor. Int. J. 3, 355–377 (2004)

    Article  Google Scholar 

  15. Casciati, F.: An overview of structural health monitoring expertise within the European Union. In: Wu, Z.S., Abe, M. (eds.) Proceedings 1st International Conference on Structural Health Monitoring and Intelligent Infrastructure, pp. 31–37. Balkema, Tokyo (2003)

    Google Scholar 

  16. Cavalagli, N., et al.: Remote sensing and in-situ measurements for the structural monitoring of historical monuments: the Consoli Palace of Gubbio, Italy. In: Rizzo, P., Milazzo, A. (eds.) European Workshop on Structural Health Monitoring EWSHM (2020)

    Google Scholar 

  17. Cerri, M.N., Vestroni, F.: Detection of damage in beams subjected to diffused cracking. J. Sound Vib. 234, 259–276 (2000)

    Article  Google Scholar 

  18. Ciambella, J., Pau, A., Vestroni, F.: Modal curvature-based damage localization in weakly damaged continuous beams. Mech. Syst. Signal Process. 121, 171–182 (2019)

    Article  Google Scholar 

  19. Ciambella, J., Vestroni, F.: The use of modal curvatures for damage localization in beam-type structures. J. Sound Vib. 340, 126–137 (2015)

    Article  Google Scholar 

  20. Clementi, F., Formisano, A., Milani, G., Ubertini, F.: Structural health monitoring of architectural heritage: from the past to the future advances. Int. J. Archit. Herit. 15, 1–4 (2021)

    Article  Google Scholar 

  21. Collins, J.D., Hart, G.C., Hasselmann, T.K., Kennedy, B.: Statistical identification of structures. AIAA J. 12, 185–190 (1974)

    Article  MATH  Google Scholar 

  22. Davini, D., Morassi, A., Rovere, R.: Modal analysis of notched bars: tests and comments on the sensitivity of an identification technique. J. Sound Vib. 179, 513–527 (1995)

    Article  Google Scholar 

  23. De Sortis, A., Antonacci, E., Vestroni, F.: Dynamic identification of a masonry building using forced vibration test. Eng. Struct. 27, 155–165 (2000)

    Article  Google Scholar 

  24. Dilena, M., Morassi, A.: Identification of crack location in vibrating beams from changes in node positions. J. Sound Vib. 255, 915–930 (2002)

    Article  Google Scholar 

  25. Dilena, M., Morassi, A.: The use of antiresonances for crack detection in beams. J. Sound Vib. 276, 195–214 (2004)

    Article  Google Scholar 

  26. Dilena, M., Morassi, A.: Structural health monitoring of rods based on natural frequency and antiresonant frequency measurements. Structural Health Monitoring: An International Journal 8, 149–173 (2009)

    Article  Google Scholar 

  27. Dilena, M., Morassi, A.: Reconstruction method for damage detection in beams based on natural frequency and antiresonant frequency measurements. J. Eng. Mech. ASCE 136, 329–344 (2010)

    Article  Google Scholar 

  28. Dilena, M., Fedele Dell’Oste, M., Fernández-Sáez, J., Morassi, A., Zaera, R.: Recovering added mass in nanoresonator sensors from finite axial eigenfrequency data. Mech. Syst. Signal Process. 130, 122–151 (2019)

    Article  Google Scholar 

  29. Dimarogonas, A.D.: Vibration of cracked structures: a state of the art review. Eng. Fract. Mech. 55, 831–857 (1996)

    Article  Google Scholar 

  30. Di Re, P., Lofrano, E., Ciambella, J., Romeo, F.: Structural analysis and health monitoring of twentieth-century cultural heritage: the Flaminio Stadium in Rome. Smart Struct. Syst. 27, 285–303 (2021)

    Google Scholar 

  31. Ewins, D.J.: Modal Testing: Theory, Practice and Application, 2nd edn. Reaserch Studies Press, Baldock, Hertfordshire, England (2000)

    Google Scholar 

  32. Friswell, M.I., Mottershead, J.E.: Finite Element Model Updating in Structural Dynamics. Kluwer Academic Publishers (1995)

    Google Scholar 

  33. Friswell, M.I., Mottershead, J.E.: Identification in engineering systems. J. Vib. Control, Special Issue: International Conference on Identification in Engineering Systems 4, (1998)

    Google Scholar 

  34. Gattulli, V., Lepidi, M., Potenza, F.: Dynamic testing and health monitoring of historic and modern civil structures in Italy. Struct. Monitor. Maint. 3, 71–90 (2016)

    Google Scholar 

  35. Gentile, C., Saisi, A.: Continuous dynamic monitoring of a centenary iron bridge for structural modification assessment. Front. Struct. Civ. Eng. 9, 26–41 (2015)

    Article  Google Scholar 

  36. Ghanem, R., Shinozuka, M.: Structural system identification. J. Eng. Mech. ASCE 121, 255–273 (1995)

    Article  Google Scholar 

  37. Gladwell, G.M.L.: Inverse Problems in Vibration, 2nd edn. Kluwer Academic Publishers, Dordrecht (2004)

    MATH  Google Scholar 

  38. Gladwell, G.M.L., Morassi, A.: Estimating damage in a rod from changes in node positions. Inverse Problems in Engineering 7, 215–233 (1999)

    Article  Google Scholar 

  39. Hald, O.: The inverse Sturm-Liouville problem and the Rayleigh-Ritz method. Math. Comput. 32, 687–705 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  40. Hald, O., McLaughlin, J.R.: Solutions of inverse nodal problems. Inverse Prob. 5, 307–347 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  41. Hochstadt, H., Lieberman, B.: An inverse Sturm-Liouville problem with mixed given data. J. SIAM Appl. Math. 34, 676–680 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  42. Hou, R., Xia, Y.: Review on the new development of vibration-based damage identification for civil engineering structures: 2010–2019. J. Sound Vib. 491, Paper 115741 (2021)

    Google Scholar 

  43. Huang, Y., Shao, C., Wu, W., Beck, J.L., Li, H.: State-of-the-art review on Bayesian inference in structural system identification and damage assessment. Adv. Struct. Eng. 22, 1329–1351 (2019)

    Article  Google Scholar 

  44. Kim, J.-T., Ryu, Y.-S., Cho, H.-M., Stubbs, N.: Damage identification in beam-type structures: frequency-based method vs mode-shape-based method. Eng. Struct. 25, 57–67 (2003)

    Article  Google Scholar 

  45. Lepidi, M., Gattulli, V., Vestroni, F.: Damage identification in elastic suspended cables through frequency measurement. J. Vib. Control 15, 867–896 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  46. Limongelli, M.P.: Frequency response function interpolation for damage detection under changing environment. Mech. Syst. Signal Process. 24, 2898–2913 (2010)

    Article  Google Scholar 

  47. Lofrano, E., Paolone, A., Ruta, G.: Dynamic damage identification using complex mode shapes. Struct. Control Health Monitor. 27, Paper e2632 (2020)

    Google Scholar 

  48. Maia, N.M.M., Silva, J.M.N.: Theoretical and Experimental Modal Analysis. Research Studies Press, Baldock, Hertfordshire, England (1997)

    Google Scholar 

  49. McLaughlin, J.R.: Inverse spectral theory using nodal points as data–a uniqueness result. J. Differential Equations 73, 354–362 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  50. Morassi, A.: Crack-induced changes in eigenparameters of beam structures. J. Eng. Mech. ASCE 119, 1798–1803 (1993)

    Article  Google Scholar 

  51. Morassi, A.: Identification of a crack in a rod based on changes in a pair of natural frequencies. J. Sound Vib. 242, 577–596 (2001)

    Article  Google Scholar 

  52. Morassi, A.: Damage detection and generalized Fourier coefficients. J. Sound Vib. 302, 229–259 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  53. Morassi, A., Polentarutti, F.: Dynamic testing and structural identification of the Hypo Bank office complex. II: Identification. J. Struct. Eng. ASCE 137, 1540–1552 (2011)

    Google Scholar 

  54. Morassi, A., Vestroni, F. (eds.): Dynamic Methods for Damage Detection in Structures. CISM International Centre Mechanical Sciences Series, vol. 499. Springer, Wien (2008)

    Google Scholar 

  55. Mottershead, J.E., Friswell, M.I.: Model updating in structural dynamics: a survey. J. Sound Vib. 167, 347–375 (1993)

    Article  MATH  Google Scholar 

  56. Narkis, Y.: Identification of crack location in vibrating simply supported beams. J. Sound Vib. 172, 549–558 (1994)

    Article  MATH  Google Scholar 

  57. Natke, H.G.: Identification of Vibrating Structures. Springer, New-York (1982)

    Book  MATH  Google Scholar 

  58. Pau, A., Greco, A., Vestroni, F.: Numerical and experimental detection of a concentrated damage in a parabolic arch by measured frequency variations. J. Vib. Control 17, 605–614 (2011)

    Article  MathSciNet  Google Scholar 

  59. Pau, A., Vestroni, F.: Vibration analysis and dynamic characterization of the Colosseum. Struct. Control. Health Monit. 15, 1105–1121 (2008)

    Article  Google Scholar 

  60. Pau, A., Vestroni, F.: Vibration assessment and structural monitoring of the Basilica of Maxentius in Rome. Mech. Syst. Signal Process. 41, 454–466 (2013)

    Article  Google Scholar 

  61. Peeters, B., De Roeck, G.: Reference-based stochastic subspace identification for output-only modal analysis. Mech. Syst. Signal Process. 13, 855–878 (1999)

    Article  Google Scholar 

  62. Pierdicca, A., Clementi, F., Fortunati, A., Lenci, S.: Tracking modal parameters evolution of a school building during retrofitting works. Bull. Earthq. Eng. 17, 1029–1052 (2019)

    Article  Google Scholar 

  63. Ren, W.X., De Roeck, G.: Structural damage identification using modal data. I: Simulation verification. J. Struct. Eng. ASCE 128, 87–95 (2002)

    Google Scholar 

  64. Rubio, L., Fernández-Sáez, J., Morassi, A.: Crack identification in non-uniform rods by two frequency data. Int. J. Solids Struct. 75–76, 61–80 (2015)

    Article  Google Scholar 

  65. Rubio, L., Fernández-Sáez, J., Morassi, A.: Identification of an open crack in a beam with variable profile by two resonant frequencies. J. Vib. Control 24, 839–859 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  66. Ruotolo, R., Surace, C.: Damage assessment of multiple cracked beams: numerical results and experimental validation. J. Sound Vib. 206, 567–588 (1997)

    Article  Google Scholar 

  67. Shifrin, E.I.: Identification of a finite number of small cracks in a rod using natural frequencies. Mech. Syst. Signal Process. 70–71, 613–624 (2016)

    Article  Google Scholar 

  68. Simoen, E., De Roeck, G., Lombaert, G.: Dealing with uncertainty in model updating for damage assessment: a review. Mech. Syst. Signal Process. 56–57, 123–149 (2015)

    Article  Google Scholar 

  69. Sorenson, H.W.: Parameter Estimation: Principles and Problems. Marcel Dekker inc., New York (1980)

    MATH  Google Scholar 

  70. Spanos, P.D., Failla, G., Santini, A., Pappatico, M.: Damage detection in Euler-Bernoulli beams via spatial wavelet analysis. Struct. Control Health Monitor. 13, 472–487 (2006)

    Article  Google Scholar 

  71. Ubertini, F., Comanducci, G., Cavalagli, N., Pisello, A.L., Materazzi, A.L., Cotana, F.: Environmental effects on natural frequencies of the San Pietro bell tower in Perugia, Italy, and their removal for structural performance assessment. Mech. Syst. Signal Process. 82, 307–322 (2017)

    Article  Google Scholar 

  72. Vestroni, F., Capecchi, D.: Damage evaluation in cracked vibrating beams using experimental frequencies and finite element models. J. Vib. Control 2, 69–86 (1996)

    Article  Google Scholar 

  73. Vestroni, F., Capecchi, D.: Damage detection in beam structures based on measurements of natural frequencies. J. Eng. Mech. ASCE 126, 761–768 (2000)

    Article  Google Scholar 

  74. Vestroni, F., Pau, A.: Dynamic characterization and damage identification. In: Gladwell, G.M.L., Morassi, A. (eds.) Dynamic Inverse Problems: Theory and Application. CISM International Centre Mechanical Sciences Series, vol. 529. Springer, Wien (2011)

    Google Scholar 

  75. Wu, Q.: Reconstruction of integrated crack function of beams from eigenvalue shifts. J. Sound Vib. 173, 279–282 (1994)

    Article  MATH  Google Scholar 

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Vestroni, F., Morassi, A. (2022). Structural Dynamic Identification and Damage Detection. In: Rega, G. (eds) 50+ Years of AIMETA. Springer, Cham. https://doi.org/10.1007/978-3-030-94195-6_18

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