DOI QR코드

DOI QR Code

Structural damage identification using incomplete static displacement measurement

  • Lu, Z.R. (Department of Applied Mechanics, Sun Yat-sen University) ;
  • Zhu, J.J. (Department of Applied Mechanics, Sun Yat-sen University) ;
  • Ou, Y.J. (School of Mechanics and Construction Engineering, Jinan University)
  • 투고 : 2016.08.23
  • 심사 : 2017.02.09
  • 발행 : 2017.07.25

초록

A local damage identification method using measured structural static displacement is proposed in this study. Based on the residual force vector deduced from the static equilibrium equation, residual strain energy (RSE) is introduced, which can localize the damage in the element level. In the case of all the nodal displacements are used, the RSE can localize the true location of damage, while incomplete displacement measurements are used, some suspicious damaged elements can be found. A model updating method based on static displacement response sensitivity analysis is further utilized for accurate identification of damage location and extent. The proposed method is verified by two numerical examples. The results indicate that the proposed method is efficient for damage identification. The advantage of the proposed method is that only limited static displacement measurements are needed in the identification, thus it is easy for engineering application.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China, Guangdong Province Natural Science Foundation

참고문헌

  1. Abdo, M.A.B. (2012), "Parametric study of using only static response in structural damage detection", Eng. Struct., 34, 124-131. https://doi.org/10.1016/j.engstruct.2011.09.027
  2. Bakhtiari-Nejad, F., Rahai, A. and Esfandiari, A. (2005), "A structural damage detection method using static noisy data", Eng. Struct., 27, 1784-1793. https://doi.org/10.1016/j.engstruct.2005.04.019
  3. Banan, M.R. and Hjelmstad, K.D. (1994a), "Parameter estimation of structures from static response, I: Computational aspects", J. Struct. Eng., 120(11), 3243-3259. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:11(3243)
  4. Banan, M.R. and Hjelmstad, K.D. (1994b), "Parameter estimation of structures from static response, II: Numerical simulation", J. Struct. Eng., 120(11), 3259-3283. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:11(3259)
  5. Cattarius, J. and Inman, D.J. (1997), "Time domain analysis for damage detection in smart structures", Mech. Syst. Signal Pr., 11(3), 409-423. https://doi.org/10.1006/mssp.1996.0086
  6. Cawley, P. and Adams, R.D. (1979), "The location of defects in structures from measurements of natural frequencies", J. Strain Anal. Eng. Des., 14(2), 49-57. https://doi.org/10.1243/03093247V142049
  7. Chatterjee, A. (2010), "Structural damage assessment in a cantilever beam with a breathing crack using higher order frequency response functions", J. Sound Vib., 329(16), 3325-3334. https://doi.org/10.1016/j.jsv.2010.02.026
  8. Chen, X.Z., Zhu, H.P. and Chen, C.Y. (2005), "Structural damage identification using test static data based on grey system theory", J. Zhejiang Univ. Sci., 64(8), 790-796.
  9. Choi, S. and Stubbs, N. (2004), "Damage identification in structures using the time-domain response", J. Sound Vib., 275(3-5), 577-590. https://doi.org/10.1016/j.jsv.2003.06.010
  10. Fu, Y.Z., Wei, Z.T., Liu, J.K. and Lu, Z.R. (2016), "A two-step approach for damage Identification in plates", J. Vib. Control, 22(13), 3018-3031. https://doi.org/10.1177/1077546314557689
  11. Guyan, R.J. (1965), "Reduction of stiffness and mass matrices", AIAA J., 3(2), 380. https://doi.org/10.2514/3.2874
  12. Hansen, P.C. (1992), Regularization Tools-A Matlab Package for Analysis and Solution of Discrete Ill-Posed Problem, Version3.0.
  13. He, Z.Y. and Lu, Z.R. (2010), "Time domain identification of multiple cracks in a beam", Struct. Eng. Mech., 35(6), 773-789. https://doi.org/10.12989/sem.2010.35.6.773
  14. Hjelmstad, K.D., Wood, S.L. and Clark, S.J.J. (1992), "Mutual residual energy method for parameter estimation in structures", Struct. Eng., 118(1), 223-242. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:1(223)
  15. Hu, M.H., Tu, S.T., Xuan, F.Z., Xia, C.M. and Shao, H.H. (2012), "Strain energy numerical technique for structural damage detection", Appl. Math. Comput., 219(5), 2424-2431. https://doi.org/10.1016/j.amc.2012.08.078
  16. Kim, J.T. and Stubbs, N. (2003), "Crack detection in beam-type structures using frequency data", J. Sound Vib., 259(1), 145-160. https://doi.org/10.1006/jsvi.2002.5132
  17. Li, H., Lu, Z.R. and Liu, J.K. (2015), "Simultaneous identification of stiffness and damping in damaged discrete systems based on derivatives of eigen-parameters", Struct. Eng. Mech., 55(4), 687-702 https://doi.org/10.12989/sem.2015.55.4.687
  18. Li, S. and Lu, Z.R. (2015), "Multi-swarm fruit fly optimization algorithm for structural damage identification", Struct. Eng. Mech., 56(3), 409-422. https://doi.org/10.12989/sem.2015.56.3.409
  19. Lu, X.B., Liu, J.K. and Lu, Z.R. (2013), "A two-step approach for crack identification in beam", J. Sound Vib., 332, 282-293 https://doi.org/10.1016/j.jsv.2012.08.025
  20. Lu, Z.R. and Law, S.S. (2007), "Features of dynamic response sensitivity and its application in damage detection", J. Sound Vib., 303(1), 305-329. https://doi.org/10.1016/j.jsv.2007.01.021
  21. Majumdar, A., Maiti, D.K. and Maity, D. (2012), "Damage assessment of truss structures from changes in natural frequencies using ant colony optimization", Appl. Math. Comput., 218(19), 9759-9772. https://doi.org/10.1016/j.amc.2012.03.031
  22. Mohan, S.C., Matiti, D.K. and Maity, D. (2013), "Structural damage assessment using FRF employing particle swarm optimization", Appl. Math. Comput., 219(20), 10387-10400. https://doi.org/10.1016/j.amc.2013.04.016
  23. 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
  24. 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
  25. Ratcliffe, C.P. (1997), "Damage detection using a modified Laplacian operator on mode shape data", J. Sound Vib., 204(3), 505-517. https://doi.org/10.1006/jsvi.1997.0961
  26. Rizos, P.F., Aspragathos, N. and Dimarogonas, A.D. (1990), "Identification of crack location and magnitude in a cantilever beam from the vibration modes", J. Sound Vib., 138(3), 381-388. https://doi.org/10.1016/0022-460X(90)90593-O
  27. Sanayei, M. and Onipede, O. (1991), "Damage assessment of structures using static test data", AIAA J., 29(7), 1174-1179. https://doi.org/10.2514/3.10720
  28. Sanayei, M. and Scampoli, S. (1991), "Structural element stiffness identification from static test data", J. Eng. Mech., 117(5), 1021-1036. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:5(1021)
  29. Tikhonov, A.M. (1963), "On the solution of ill-posed problems and the method of regularization", Soviet Math., 4, 1035-1038.
  30. Vo-Duy, T., Ho-Huu, V., Dang-Trung, H. and Nguyen-Thoi, T. (2016), "A two-step approach for damage detection in laminated composite structures using modal strain energy method and an improved differential evolution algorithm", Compos. Struct., 147, 42-53. https://doi.org/10.1016/j.compstruct.2016.03.027
  31. Wu, D. and Law, S.S. (2004), "Model error correction from truncated modal flexibility sensitivity and generic parameters: Part I-simulation", Mech. Syst. Signal Pr., 18(6), 1381-1399. https://doi.org/10.1016/S0888-3270(03)00094-3
  32. Yang, Q.W. and Liu, J.K. (2007), "Structural damage identification based on residual force vector", J. Sound Vib., 305(1), 298-307. https://doi.org/10.1016/j.jsv.2007.03.033
  33. Yang, Q.W. and Sun, B.X. (2010), "Structural damage localization and quantification using static test data", Struct. Hlth. Monit., 10(4), 381-389.

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