DOI QR코드

DOI QR Code

An inverse approach based on uniform load surface for damage detection in structures

  • Mirzabeigy, Alborz (School of Mechanical Engineering, Iran University of Science and Technology) ;
  • Madoliat, Reza (School of Mechanical Engineering, Iran University of Science and Technology)
  • 투고 : 2018.07.14
  • 심사 : 2019.05.10
  • 발행 : 2019.08.25

초록

In this paper, an inverse approach based on uniform load surface (ULS) is presented for structural damage localization and quantification. The ULS is excellent approximation for deformed configuration of a structure under distributed unit force applied on all degrees of freedom. The ULS make use of natural frequencies and mode shapes of structure and in mathematical point of view is a weighted average of mode shapes. An objective function presented to damage detection is discrepancy between the ULS of monitored structure and numerical model of structure. Solving this objective function to find minimum value yields damage's parameters detection. The teaching-learning based optimization algorithm has been employed to solve inverse problem. The efficiency of present damage detection method is demonstrated through three numerical examples. By comparison between proposed objective function and another objective function which make use of natural frequencies and mode shapes, it is revealed present objective function have faster convergence and is more sensitive to damage. The method has good robustness against measurement noise and could detect damage by using the first few mode shapes. The results indicate that the proposed method is reliable technique to damage detection in structures.

키워드

참고문헌

  1. Basu, M. (2014), "Teaching-learning-based optimization algorithm for multi-area economic dispatch", Energy, 68, 21-28. https://doi.org/10.1016/j.energy.2014.02.064.
  2. Carden, E.P. and Fanning, P. (2004), "Vibration based condition monitoring: a review", Struct. Health Monit., 3(4), 355-377. https://doi.org/10.1177/1475921704047500.
  3. Corrado, N., Gherlone, M., Surace, C., Hensman, J. and Durrande, N. (2015), "Damage localisation in delaminated composite plates using a Gaussian process approach", Meccanica, 50(10), 2537-2546. https://doi.org/10.1007/s11012-015-0193-1
  4. Fan, W. and Qiao, P. (2011), "Vibration-based damage identification methods: a review and comparative study", Struct. Health Monit., 10(1), 83-111. https://doi.org/10.1177/1475921710365419.
  5. Fatahi, L. and Moradi, S. (2018), "Multiple crack identification in frame structures using a hybrid Bayesian model class selection and swarm-based optimization methods", Struct. Health Monit., 17(1), 39-58. https://doi.org/10.1177/1475921716683360.
  6. Hosseinzadeh, A.Z., Amiri, G.G., Razzaghi, S.S., Koo, K.Y. and Sung, S.H. (2016), "Structural damage detection using sparse sensors installation by optimization procedure based on the modal flexibility matrix", J. Sound Vib., 381, 65-82. https://doi.org/10.1016/j.jsv.2016.06.037.
  7. Jordehi, A.R. (2015), "Optimal setting of TCSCs in power systems using teaching-learning-based optimisation algorithm", Neural Comput. Appl., 26(5), 1249-1256. https://doi.org/10.1007/s00521-014-1791-x
  8. Khiem, N.T. and Lien, T.V. (2004), "Multi-crack detection for beam by the natural frequencies", J. Sound Vib., 273(1-2), 175-184. https://doi.org/10.1016/S0022-460X(03)00424-3.
  9. Kourehli, S.S., Amiri, G.G., Ghafory-Ashtiany, M. and Bagheri, A. (2013), "Structural damage detection based on incomplete modal data using pattern search algorithm", J. Vib. Control, 19(6), 821-833. https://doi.org/10.1177/1077546312438428.
  10. Lim, T.W. and Kashangaki, T.A. (1994), "Structural damage detection of space truss structures using best achievable eigenvectors", AIAA J., 32(5), 1049-1057. https://doi.org/10.2514/3.12093.
  11. Liu, G.R. and Quek, S.S. (2003), The Finite Element Method: A Practical Course.
  12. Masoumi, M. and Ashory, M.R. (2014), "Damage identification from uniform load surface using continuous and stationary wavelet transforms", Latin Am. J. Solids Struct., 11(5), 738-754. http://dx.doi.org/10.1590/S1679-78252014000500001.
  13. Meruane, V. and Heylen, W. (2011), "An hybrid real genetic algorithm to detect structural damage using modal properties", Mech. Syst. Signal Pr., 25(5), 1559-1573. https://doi.org/10.1016/j.ymssp.2010.11.020.
  14. Mirzabeigy, A., Dabbagh, V. and Madoliat, R. (2017), "Explicit formulation for natural frequencies of double-beam system with arbitrary boundary conditions", J. Mech. Sci. Technol., 31(2), 515-521. https://doi.org/10.1007/s12206-017-0104-6
  15. Moradi, S. and Tavaf, V. (2013), "Crack detection in circular cylindrical shells using differential quadrature method", J. Press. Vess. Piping, 111-112, 209-216. https://doi.org/10.1016/j.ijpvp.2013.07.006
  16. Nanda, B., Maity, D. and Maiti, D.K. (2014), "Crack assessment in frame structures using modal data and unified particle swarm optimization technique", Adv. Struct. Eng., 17(5), 747-766. https://doi.org/10.1260/1369-4332.17.5.747.
  17. Nguyen, K. (2016), "Crack detection of a double-beam carrying a concentrated mass", Mech. Res. Commun., 75, 20-28. https://doi.org/10.1016/j.mechrescom.2016.05.009.
  18. Nobahari, M., Ghasemi, M.R. and Shabakhty, N. (2017), "A novel heuristic search algorithm for optimization with application to structural damage identification", Smart Struct. Syst., 19(4), 449-461. https://doi.org/10.12989/sss.2017.19.4.449.
  19. Oh, B.K., Choi, S.W. and Park, H.. (2015), "Damage detection technique for cold-formed steel beam structure based on NSGA-II", Shock Vib., 2015. http://dx.doi.org/10.1155/2015/354564.
  20. Oniszczuk, Z. (2000), "Free transverse vibrations of elastically connected simply supported double-beam complex system", J. Sound Vib., 232(2), 387-403. https://doi.org/10.1006/jsvi.1999.2744.
  21. Ovanesova, A.V. and Suarez, L.E. (2004), "Applications of wavelet transforms to damage detection in frame structures", Eng. Struct., 26(1), 39-49. ttps://doi.org/10.1016/j.engstruct.2003.08.009.
  22. Panigrahi, S.K., Chakraverty, S. and Mishra, B.K. (2009), "Vibration based damage detection in a uniform strength beam using genetic algorithm", Meccanica, 44(6), 697. https://doi.org/10.1007/s11012-009-9207-1
  23. Perera, R., Marin, R. and Ruiz, A. (2013), 'Static-dynamic multiscale structural damage identification in a multi-objective framework", J. Sound Vib., 332(6), 1484-1500. https://doi.org/10.1016/j.jsv.2012.10.033.
  24. Raich, A.M. and Liszkai, T.R. (2007), "Improving the performance of structural damage detection methods using advanced genetic algorithms", J. Struct. Eng., 133(3), 449-461. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:3(449).
  25. Rao, R.V., Savsani, V.J. and Vakharia, D.P. (2012), "Teaching-learning-based optimization: an optimization method for continuous non-linear large scale problems", Inform. Sciences, 183(1), 1-15. https://doi.org/10.1016/j.ins.2011.08.006.
  26. Ruotolo, R. and Surace, C. (1997), "Damage assessment of multiple cracked beams: numerical results and experimental validation", J. Sound Vib., 206(4), 567-588. https://doi.org/10.1006/jsvi.1997.1109.
  27. Seyedpoor, S.M., Norouzi, E. and Ghasemi, S. (2018), "Structural damage detection using a multi-stage improved differential evolution algorithm (Numerical and experimental)", Smart Struct. Syst., 21(2), 235-248. https://doi.org/10.12989/sss.2018.21.2.235.
  28. Singh, M., Panigrahi, B.K. and Abhyankar, A.R. (2013), "Optimal coordination of directional over-current relays using Teaching Learning-Based Optimization (TLBO) algorithm", International J. Electrical Power & Energy Syst., 50, 33-41. https://doi.org/10.1016/j.ijepes.2013.02.011.
  29. Sung, S.H., Jung, H.J. and Jung, H.Y. (2013), "Damage detection for beam-like structures using the normalized curvature of a uniform load surface", J. Sound Vib., 332(6), 1501-1519. https://doi.org/10.1016/j.jsv.2012.11.016.
  30. Vosoughi, A.R. (2015), "A developed hybrid method for crack identification of beams", Smart Struct. Syst., 16(3), 401-414. http://dx.doi.org/10.12989/sss.2015.16.3.401.
  31. Wei, Z., Liu, J. and Lu, Z. (2018), "Structural damage detection using improved particle swarm optimization", Inverse Probl. Sci. Eng., 26(6), 792-810. https://doi.org/10.1080/17415977.2017.1347168.
  32. Zhang, Z. and Aktan, A.E. (1998), "Application of modal flexibility and its derivatives in structural identification", J. Res. Nondestructive Evaluation, 10(1), 43-61. https://doi.org/10.1080/09349849809409622