DOI QR코드

DOI QR Code

Summarized IDA curves by the wavelet transform and bees optimization algorithm

  • Shahryari, Homayoon (Department of Civil Engineering, K.N. Toosi University of Technology) ;
  • Karami, M. Reza (Department of Civil Engineering, K.N. Toosi University of Technology) ;
  • Chiniforush, Alireza A. (Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, University of New South Wales)
  • 투고 : 2016.10.01
  • 심사 : 2019.01.10
  • 발행 : 2019.02.25

초록

Incremental dynamic analysis (IDA), as an accurate method to evaluate the parameters of structural performance levels, requires many non-linear time history analyses, using a set of ground motion records which are scaled to different intensity levels. Therefore, this method is very computationally demanding. In this study, a new method is presented to estimate the summarized (16%, 50%, and 84% fractiles) IDA curves of a first-mode dominated structure using discrete wavelet transform and bees optimization algorithm. This method reduces the number of required ground motion records for the prediction of the summarized IDA curves. At first, a subset of first list ground motion records is decomposed by means of discrete wavelet transform which have a low dispersion estimating the summarized IDA curves of equivalent SDOF system of the main structure. Then, the bees algorithm optimizes a series of factors for each level of detail coefficients in discrete wavelet transform. The applied factors change the frequency content of original ground motion records which the generated ground motions records can be utilized to reliably estimate the summarized IDA curves of the main structure. At the end, to evaluate the efficiency of the proposed method, the seismic behavior of a typical 3-story special steel moment frame, subjected to a set of twenty ground motion records is compared with this method.

키워드

참고문헌

  1. Amini, F., Khanmohamadi Hazaveh, N. and Abdolahi Rad, A. (2013), "Wavelet PSO-based LQR algorithm for optimal structural control using active tuned mass dampers", Comput. Aid. Civil Infrastr. Eng., 28(7), 542-57. https://doi.org/10.1111/mice.12017
  2. Azarbakht, A. and Dolsek, M. (2007), "Prediction of the median IDA curve by employing a limited number of ground motion records", Earthq. Eng. Struct. Dyn., 36, 2401-2421. https://doi.org/10.1002/eqe.740
  3. Azarbakht, A. and Dolsek, M. (2011), "Progressive incremental dynamic analysis for first-mode dominated structures", J. Struct. Eng., 137, 445-455. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000282
  4. Dolsek, M. and Fajfar, P. (2005), "Simplified non-linear seismic analysis of infilled reinforced concrete frames", Earthq. Eng. Struct. Dyn., 34, 49-66. https://doi.org/10.1002/eqe.411
  5. Dorigo, M., Maniezzo, V. and Colorni, A. (1996), "The ant system: optimization by a colony of cooperating agents", IEEE Tran. Syst. Man. Cybern., B26(1), 29-41.
  6. Dremin, I.M. (2005), "Wavelets: Mathematics and applications", Phys. Atomic. Nucl., 68(3), 508-520. https://doi.org/10.1134/1.1891202
  7. Eberhart, R.C. and Kennedy, J. (1995), "A new optimizer using particle swarm theory", Proceedings of the Sixth International Symposium on Micro Machine and Human Science, Nagoya, Japan.
  8. Eghbali, M., Ghodrati Amiri, G. and Raissi Dehkordi, M. (2015), "Evaluation of modified nonlinear dynamic and static analyses for seismic behavior of steel moment-resisting frames", J. Vibroeng., 17(8), 4313-4324.
  9. Fajfar, P. (1999), "Capacity spectrum method based on inelastic demand spectra", Earthq. Eng. Struct. Dyn., 28(9), 979-993. https://doi.org/10.1002/(SICI)1096-9845(199909)28:9<979::AID-EQE850>3.0.CO;2-1
  10. Fan, Z., Feng, X. and Zhou, J. (2013), "A novel transmissibility concept based on wavelet transform for structural damage detection", Smart Struct. Syst., 12(3-4), 291-308. https://doi.org/10.12989/sss.2013.12.3_4.291
  11. Ghodrati Amiri, G. and Namiranian, P. (2013), "Hybrid artificial neural networks based on ACO-Rprop for generating multiple spectrum-compatible artificial earthquake records for specified site geology", Int. J. Optim. Civil Eng., 3(1), 179-207.
  12. Ghodrati Amiri, G., Abdolahi Rad, A. and Khanmohamadi Hazaveh, N. (2014), "Wavelet-based method for generating nonstationary artificial pulse-like near-fault ground motions", Comput. Aid. Civil Infrastr. Eng., 29, 758-770. https://doi.org/10.1111/mice.12110
  13. Ghodrati Amiri, G., Abdolahi Rad, A., Aghajari, S. and Khanmohamadi Hazaveh, N. (2012), "Generation of near-field artificial ground motions compatible with median-predicted spectra using PSO-based neural network and wavelet analysis", Comput. Aid. Civil Infrastr. Eng., 27, 711-30. https://doi.org/10.1111/j.1467-8667.2012.00783.x
  14. Ghodrati Amiri, G., Shahjouei, A., Saadat, S. and Ajallooeian, M. (2011), "Hybrid evolutionary-neural network approach in generation of artificial accelerograms using principal component analysis and wavelet-packet transform", J. Earthq. Eng., 15, 50-76. https://doi.org/10.1080/13632469.2010.517281
  15. Gupta, A. and Krawinkler, H. (1999), "Seismic demands for performance evaluation of steel moment resisting frame structures (SAC Task 5.4.3)", Report No. 132, John A. Blume Earthquake Engineering Center, Stanford University, Stanford, CA.
  16. Han, S.W. and Chopra, A.K. (2006), "Approximate incremental dynamic analysis using the modal pushover analysis procedure", Earthq. Eng. Struct. Dyn., 35(15), 1853-1873. https://doi.org/10.1002/eqe.605
  17. Hancock, J., Watson-Lamprey, J., Abrahamson, N.A., Bommer, J., Markatis, A., Mccoy, E. and Mendis, R. (2006), "An improved method of matching response spectra of recorded earthquake ground motion using wavelets", J. Earthq. Eng., 10, 67-89. https://doi.org/10.1080/13632460609350629
  18. Holland, J.H. (1975), "Adaptation in natural and artificial systems", University of Michigan Press, Ann Arbor.
  19. Ibarra, L.F., Ricardo, A. and Krawinkler, H. (2005), "Hysteretic models that incorporate strength and stiffness deterioration", Earthq. Eng. Struct. Dyn., 34, 1489-1511. https://doi.org/10.1002/eqe.495
  20. Kim, H. and Adeli, H. (2005), "Hybrid control of smart structures using a novel wavelet-based algorithm", Comput. Aid. Civil Infrastr. Eng., 20(1), 7-22. https://doi.org/10.1111/j.1467-8667.2005.00373.x
  21. Luco, N. and Bazzurro, P. (2007), "Does amplitude Scaling og ground motion records result in biased nonlinear structure drift responses", Earthq. Eng. Struct. Dyn., 36(13), 1813-1835. https://doi.org/10.1002/eqe.695
  22. Mazzoni, S., McKenna, F., Scott, M.H. and Fenves, G.L. (2007), "OpenSees Command Language Manual", Pacific Earthquake Engineering Research Center, University of California, Berkeley.
  23. Mofid, M., Zarfam, P. and Fard B.R. (2005), "On the modal incremental dynamic analysis", Struct. Des. Tall Spec. Build., 14, 315-329. https://doi.org/10.1002/tal.271
  24. Ovanesova, A.V. and Suarez, L.E. (2004), "Applications of wavelet transforms to damage detection in frame structures", Eng. Struct., 26, 39-49. https://doi.org/10.1016/j.engstruct.2003.08.009
  25. Perus, I., Klinc, R., Dolenc, M. and Dolsek, M. (2015), "Innovative computational environment for fast and acuurate prediction of approximate IDA curves", Comput. Meth. Appl. Sci., 30, 259-272.
  26. Pham, D.T., Ghanbarzadeh, A., Koc, E., Otri, S., Rahim, S. and Zaidi, M. (2005), "The bees algorithm", Technical Note, Manufacturing Engineering Centre, Cardiff University, UK.
  27. Politis, N. (2002) "Advanced time-frequency analysis applications in earthquake engineering", Student Research Accomplishment, 2000-2003, Multidisciplinary Center for Earthquake Engineering Research, Buffalo, New York.
  28. Sirca, G.F. and Adeli, H. (2004), "A Neural Netwok-Wavelet Model for Generating Artificial Ground motion records", Int. J. Wavel. Multiresol. Inform. Pr., 2(3), 217-235. https://doi.org/10.1142/S0219691304000524
  29. Solis, M., Algaba, M. and Galvin, P. (2013), "Continuous wavelet analysis of mode shapes differences for damage detection", Mech. Syst. Signal Pr., 40(2), 645-666 https://doi.org/10.1016/j.ymssp.2013.06.006
  30. Tibaduiza, D.A., Torres-Arredondo, M.A., Mujica, L.E., Rodellar, J. and Fritzen C.P. (2013) "A study of two unsupervised data driven statistical methodologies for detecting and classifying damages in structural health monitoring", Mech. Syst. Signal Pr., 41(1-2), 467-484. https://doi.org/10.1016/j.ymssp.2013.05.020
  31. Vamvatsikos, D. and Cornell, C.A. (2002), "Incremental dynamic analysis", Earthq. Eng. Struct. Dyn., 31, 491-514. https://doi.org/10.1002/eqe.141
  32. Vamvatsikos, D. and Cornell, C.A. (2004), "Applied Incremental Dynamic Analysis", Earthq. Spectra, 20(2), 523-553. https://doi.org/10.1193/1.1737737
  33. Vamvatsikos, D. and Cornell, C.A. (2005), "Direct estimation of seismic demand and capacity of multi-degree of freedom systems through incremental dynamic analysis of single degree of freedom approximation", J. Struct. Eng., ASCE, 131(4), 589-599. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:4(589)
  34. Vamvatsikos, D. and Cornell, C.A. (2006), "Direct estimation of the seismic demand and capacity of oscillators with multi-linear static pushovers through IDA", Earthq. Eng. Struct. Dyn., 35, 1097-1117. https://doi.org/10.1002/eqe.573
  35. Xiang, J. and Liang, M. (2012), "Wavelet-based detection of beam cracks using modal shape and frequency measurements", Comput. Aid. Civil Infrastr. Eng., 27(6), 439-54. https://doi.org/10.1111/j.1467-8667.2012.00760.x
  36. Zarfam, P. and Mofid, M. (2011), "On the modal incremental dynamic analysis of reinforced concrete structures, using a trilinear idealization model", Eng. Struct., 33, 1117-1122. https://doi.org/10.1016/j.engstruct.2010.12.029