DOI QR코드

DOI QR Code

Modification of ground motions using wavelet transform and VPS algorithm

  • Kaveh, A. (Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology) ;
  • Mahdavi, V.R. (Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology)
  • Received : 2016.11.29
  • Accepted : 2017.03.29
  • Published : 2017.04.25

Abstract

In this paper a simple approach is presented for spectral matching of ground motions utilizing the wavelet transform and a recently developed metaheuristic optimization technique. For this purpose, wavelet transform is used to decompose the original ground motions to several levels, where each level covers a special range of frequency, and then each level is multiplied by a variable. Subsequently, the vibrating particles system (VPS) algorithm is employed to calculate the variables such that the error between the response and target spectra is minimized. The application of the proposed method is illustrated through modifying 12 sets of ground motions. The results achieved by this method demonstrate its capability in solving the problem. The outcomes of the VPS algorithm are compared to those of the standard colliding bodies optimization (CBO) to illustrate the importance of the enhancement of the algorithm.

Keywords

References

  1. Bommer, J.J. and Acevedo, A.B. (2004), "The use of real earthquake accelerograms as input to dynamic analysis", J. Earthq. Eng., 8(spec01), 43-91.
  2. CEN (2003), Eurocode-8: Design provisions for earthquake resistance of structures. Part1: General rules, seismic actions and rules for buildings, Brussels, Belgium.
  3. Cecini, D. and Palmeri, A. (2015), "Spectrum-compatible accelerograms with harmonic wavelets", Comput. Struct., 147, 26-35. https://doi.org/10.1016/j.compstruc.2014.10.013
  4. Conte, J.P. and Peng, B.F. (1997), "Fully nonstationary analytical earthquake ground motion model", J. Eng. Mech., ASCE, 123(1), 15-24. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:1(15)
  5. Daubechies, I. (1992), "Ten lectures on wavelets", CBMS-NSF Conference Series in Applied Mathematics, Montpelier, Vermont.
  6. Dorigo, M., Maniezzo, V. and Colorni, A. (1996), "The ant system: optimization by a colony of cooperating agents", IEEE Trans. Syst. Man, and Cyber. B., 26, 29-41. https://doi.org/10.1109/3477.484436
  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. Eroland, O.K. and Eksin, I. (2006), "New optimization method: Big Bang-Big Crunch", Adv. Eng. Softw., 37(2), 106-111. https://doi.org/10.1016/j.advengsoft.2005.04.005
  9. Fan, X. and Zuo, M.Z. (2006), "Gearbox fault detection using Hilbert and wavelet packet transform", Mech. Syst. Sign. Proc., 20(4), 966-982. https://doi.org/10.1016/j.ymssp.2005.08.032
  10. Gao, Y., Wu, Y., Li, D., Zhang, N. and Zhang, F. (2014), "An improved method for the generating of spectrum-compatible time series using wavelets", Earthq. Spectra, 30(4), 1467-1485. https://doi.org/10.1193/051912EQS190M
  11. 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. Civ. Infrastruct. Eng., 29(10), 758-770. https://doi.org/10.1111/mice.12110
  12. Ghodrati Amiri, G., Bagheri, A. and Seyed Razaghi, S.A. (2009), "Generation of multiple earthquake accelerograms compatible with spectrum via the wavelet packet transform and stochastic neural networks", J. Earthq. Eng., 13(7), 899-915. https://doi.org/10.1080/13632460802687728
  13. Gupta, I.D. and Joshi, R.G. (1993), "On synthesizing response spectrum compatible accelerograms", Eur. J. Earthq. Eng., 7(2), 25-33.
  14. Han, S.W., Ha, S.J., Moon, K.H. and Shin, M. (2014), "Improved capacity spectrum method with inelastic displacement ratio considering higher mode effects", Earthq. Struct., 7(4), 587-607. https://doi.org/10.12989/eas.2014.7.4.587
  15. Hancock, J., Watson-Lamprey, J., Abrahamson, N.A., Bommer, J.J., Markatis, A., McCoy, E. and Mendis, E. (2006), "An improved method of matching response spectra of recorded earthquake ground motion using wavelets", J. Earthq. Eng., 10(spec01), 67-89.
  16. He, W.Y., Zhu, S. and Ren, W.X. (2014), "A wavelet finite element-based adaptive-scale damage detection strategy", Smart Struct. Syst., 14(3), 285-305. https://doi.org/10.12989/sss.2014.14.3.285
  17. ICC (2009), "International building code", Falls Church, VA, USA.
  18. Kaveh, A. (2017a), Advances in metaheuristic algorithms for optimal design of structures, Springer Verlag, Switzerland.
  19. Kaveh, A. (2017b), Applications of metaheuristic optimization algorithms in civil engineering, Springer Verlag, Switzerland.
  20. Kaveh, A. and Ilchi Ghazaan, M. (2017), "Vibrating particles system algorithm for truss optimization with multiple natural frequency constraints", Acta Mech., 228(1). 307-322. https://doi.org/10.1007/s00707-016-1725-z
  21. Kaveh, A. and Mahdavai, V.R. (2014), "Colliding bodies optimization: A novel meta-heuristic method", Comput. Struct., 139, 18-27. https://doi.org/10.1016/j.compstruc.2014.04.005
  22. Kaveh, A. and Talatahari, S. (2010), "A novel heuristic optimization method: charged system search", Acta Mech., 213(3), 267-289. https://doi.org/10.1007/s00707-009-0270-4
  23. Mukherjee, S. and Gupta, V.K. (2002), "Wavelet-based generation of spectrum-compatible time-histories", Soil Dynam. Earthq. Eng., 22(9), 799-804. https://doi.org/10.1016/S0267-7261(02)00101-X
  24. Naeim, F. and Lew, M. (1995), "On the use of design spectrum compatible time histories", Earthq. Spectra, 11(1), 111-127. https://doi.org/10.1193/1.1585805
  25. Ogden, R.T. (1997), Essential wavelets for statistical applications and data analysis, Birkhauser, Boston.
  26. PEER, N.G.A. (2014), Strong Motion Database, http://peer.berkeley.edu/nga/.
  27. Qina, X., Fangb, B., Tianb, S., Tonga, X., Wangc, Z. and Sua, L. (2014), "The existence and uniqueness of solution to wavelet collocation", Appl. Math. Comput., 231, 63-72.
  28. Sadollah, A., Bahreininejad, A., Eskandar, H. and Hamdi, M. (2013) "Mine blast algorithm: A new population based algorithm for solving constrained engineering optimization problems", Appl. Soft Comput., 13, 2592-2612. https://doi.org/10.1016/j.asoc.2012.11.026
  29. Shrikhande, M. and Gupta, V.K. (1996), "On generating ensemble of design spectrum-compatible accelerograms", J. Earthq. Eng., 10, 49-56.
  30. Vacareanu, R., Iancovici M. and Pavel, F. (2014), "Conditional mean spectrum for Bucharest", Eartq. Struct., 7(2), 141-157. https://doi.org/10.12989/eas.2014.7.2.141
  31. Ye, Y., Chen, Z. and Zhu, H. (2014), "Proposed strategy for the application of the modified harmony search algorithm to codebased selection and scaling of ground motions", J. Comput. Civil Eng., ASCE, 28(6), 04014019.