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Nondestructive damage evaluation of a curved thin beam

  • Kim, Byeong Hwa (Research Institute of Industrial Science & Technology, Steel Structure Research Lab.) ;
  • Joo, Hwan Joong (Department of Civil Engineering, Hanyang University) ;
  • Park, Tae Hyo (Department of Civil Engineering, Hanyang University)
  • 투고 : 2004.09.09
  • 심사 : 2006.08.01
  • 발행 : 2006.12.20

초록

A vibration-based nondestructive damage evaluation technique for a curved thin beam is introduced. The proposed method is capable of detecting, locating, and sizing structural damage simultaneously by using a few of the lower natural frequencies and their corresponding mode shapes before and after a small damage event. The proposed approach utilizes modal flexibilities reconstructed from measured modal parameters. A rigorous system of equations governing damage and curvature of modal flexibility is derived in the context of elasticity. To solve the resulting system of governing equations, an efficient pseudo-inverse technique is introduced. The direct inspection of the resulting solutions provides the location and severity of damage in a curved thin beam. This study confirms that there is a strong linear relationship between the curvature of modal flexibility and flexural damage in the selected class of structures. Several numerical case studies are provided to justify the performance of the proposed approach. The proposed method introduces a way to avoid the singularity and mode selection problems from earlier attempts.

키워드

과제정보

연구 과제 주관 기관 : Ministry of Construction and Transportation (MOCT)

참고문헌

  1. Berman, A. and Flannelly, W.G (1971), 'Theory of incomplete models of dynamic structures', AlAA J., 9(8), 1481-1487
  2. Cawley, P. and Adams, A.D. (1979), 'The location of defects in structures from measurements of natural frequencies', J of Strain Analysis, 14(2),49-57 https://doi.org/10.1243/03093247V142049
  3. Cerri, M.N. and Ruta, G.C. (2004), 'Detection of localized damage in plane circular arches by frequency data', J Sound Vib., 270, 39-59 https://doi.org/10.1016/S0022-460X(03)00482-6
  4. Chen, Y and Swamidas, ASJ. (1994), 'Dynamic characteristic and modal parameters of a plate with a small crowing surface crack', Proc. 12th IMAC, Honolulu, Hawaii, 2, 1155-116l
  5. Choi, S. and Stubbs, N. (1997), 'Nondestructive damage detection algorithms for 2D plates Smart Structures and Materials: Smart System for Bridges, Structures, and Highways SPIE', Proc. No. 3043, 193-204
  6. Cornwell, P., Doebling, S.W. and Farrar, C.R. (1999), 'Application of the strain energy damage detection method to plate-like structures', J Sound Vib., 224(2),359-374 https://doi.org/10.1006/jsvi.1999.2163
  7. Doebling, S.w., Peterson, L.D. and Alvin, K.F. (1996), 'Estimation of reciprocal residual flexibility from experimental modal data', AIAA J, 34(8), 1678-1685 https://doi.org/10.2514/3.13289
  8. Ewins, DJ. (2000), Modal Testing: Theory, Practice and Application (2nd Ed.), Research Studies Press Ltd., Hertfordshire, England
  9. Farrar, C.R. and Jauregui, D. (1998), 'Comparative study of damage identification algorithms applied to a bridge: I. Experiment', Smart Materials and Structures, 7, 704-719 https://doi.org/10.1088/0964-1726/7/5/013
  10. Farrar, C.R., Cornwell, PJ., Doebling, S.W. and Prime, M.B. (2000), 'Structural health monitoring studies of the Alamosa canyon and 1-40 bridges', Report No., LA-13635-MS, Los Alamos: Los Alamos National Laboratory
  11. Golub, GH. and Van Loan, C.F. (1996), Matrix Computations. 3rd Ed., Baltimore, The Johns Hopkins University Press
  12. Kim, RH., Stubbs, N. and Sikorsky, C. (2002), 'Local damage detection using modal data', Proc. 20th IMAC, Los Angzeles, CA, 435-44l
  13. Mottershead, J.E. and Friswell, M.I. (1993), 'Model updating in structural dynamics: A survey', J Sound Vib., 167(2), 347-375 https://doi.org/10.1006/jsvi.1993.1340
  14. Ndambi, lM., Vantomme, J. and Harri, K. (2002), 'Damage assessment in reinforced concrete beams using eigenfrequencies and mode shape derivatives', Eng. Struct., 24,501-515 https://doi.org/10.1016/S0141-0296(01)00117-1
  15. Pandey, A.K., Biswas, M. and Samman, M.M. (1999), 'Damage detection from changes in curvature mode shapes', J Sound Vib., 145(2), 321-332
  16. Salawu, O.S. (1997), 'Detection of structural damage through changes in frequency: A review', Eng. Sci., 19(9),718-723
  17. Salawu, O.S. and Williams, C. (1994), 'Damage location using vibration mode shapes', Proc. 12th IMAC, Honolulu, Hawaii, 1, 933-939
  18. Srinivasan, M.G and Kot, C.A (1998), 'Damage index algorithm for a circular cylindrical shell', J Sound Vib., 215(3),587-591 https://doi.org/10.1006/jsvi.1998.1627
  19. Stubbs, N. (1985), 'A general theory of non-destructive damage detection in structures', In: Leipholz HHH, editors. Structural Control: Proc. of the 2nd Int. Symposium on Structural Control, Netherlands, Martinus Nijhoff Publishers, 694-713
  20. Stubbs, N. and Kim, J.T. (1996), 'Damage localization in structures without baseline modal parameters', AIAA J,34(8),1644-1649 https://doi.org/10.2514/3.13284
  21. Stubbs, N., Kim, J.T. and Farrar, C.R. (1995), 'Field verification of a nondestructive damage localization and severity estimation algorithm', Proc. 13th IMAC, Nashville, Tennessee, 1,210-218
  22. Timoshenko, S. and Gere, J.M. (1963), Theory of Elastic Stability. 2nd Ed. New York: McGraw-Hill, Inc
  23. Timoshenko, S. and Gere, J.M. (1963), Theory of Elastic Stability. 2nd Ed. New York: McGraw-Hill, Inc

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