Browse > Article
http://dx.doi.org/10.12989/eas.2017.12.4.389

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)
Publication Information
Earthquakes and Structures / v.12, no.4, 2017 , pp. 389-395 More about this Journal
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
spectrum-compatible ground motions; wavelet transform; response spectrum; vibrating particles system algorithm;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
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.   DOI
4 Conte, J.P. and Peng, B.F. (1997), "Fully nonstationary analytical earthquake ground motion model", J. Eng. Mech., ASCE, 123(1), 15-24.   DOI
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.   DOI
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.   DOI
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.   DOI
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.   DOI
11 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.   DOI
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. Civ. Infrastruct. Eng., 29(10), 758-770.   DOI
13 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.   DOI
14 Gupta, I.D. and Joshi, R.G. (1993), "On synthesizing response spectrum compatible accelerograms", Eur. J. Earthq. Eng., 7(2), 25-33.
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.   DOI
17 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.   DOI
18 ICC (2009), "International building code", Falls Church, VA, USA.
19 Kaveh, A. (2017a), Advances in metaheuristic algorithms for optimal design of structures, Springer Verlag, Switzerland.
20 Kaveh, A. (2017b), Applications of metaheuristic optimization algorithms in civil engineering, Springer Verlag, Switzerland.
21 Naeim, F. and Lew, M. (1995), "On the use of design spectrum compatible time histories", Earthq. Spectra, 11(1), 111-127.   DOI
22 Kaveh, A. and Mahdavai, V.R. (2014), "Colliding bodies optimization: A novel meta-heuristic method", Comput. Struct., 139, 18-27.   DOI
23 Kaveh, A. and Talatahari, S. (2010), "A novel heuristic optimization method: charged system search", Acta Mech., 213(3), 267-289.   DOI
24 Mukherjee, S. and Gupta, V.K. (2002), "Wavelet-based generation of spectrum-compatible time-histories", Soil Dynam. Earthq. Eng., 22(9), 799-804.   DOI
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 Vacareanu, R., Iancovici M. and Pavel, F. (2014), "Conditional mean spectrum for Bucharest", Eartq. Struct., 7(2), 141-157.   DOI
29 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.   DOI
30 Shrikhande, M. and Gupta, V.K. (1996), "On generating ensemble of design spectrum-compatible accelerograms", J. Earthq. Eng., 10, 49-56.
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.