Estimation of earthquake frequency content and its effect on dynamic analysis using continuous and discrete wavelet transform

Document Type : Article

Authors

1 Department of Civil Engineering, University of Isfahan, Isfahan, Iran

2 Department of Civil Engineering, Shahrekord University, Chaharmahal and Bakhtiari, Iran

Abstract

In this paper, for the first time, the combination of these two concepts is used for the earthquake acceleration wave. For this purpose, eight earthquakes from four different locations in the world have been selected. Initially, each earthquake is filtered up to 5 stages using a discrete wavelet transform. Due to the close approximation of the frequency content of the wave to the original earthquake, the approximate wave is used for subsequent calculations. In the next stage, the spectrum of Fourier and the diagram of five of the frequency of dominant of the earthquake are plotted. Also, using the continuous wavelet transform, the time-frequency curves of the main earthquakes and the time-frequency curves of the wave obtained from the discrete wavelet transform are investigated. The goal is to find the best stage of a discrete wavelet filter based on frequency content to reduce computations to over 80%. In the next step, the study examines the time of the strong ground motion, the structure response of single degree of freedom, and the dynamical response of the timing of the structure of a degree of freedom. By examining the above parameters, the best-performing wavelet transformation step is inferred.

Keywords

References

References:
1. Curtis, A., Gerstoft, P., Sato, H., et al. "Seismic interferometry-turning noise into signal", The Leading Edge, 25(9), pp. 1082-1092 (2006).
2. Yaghmaei-Sabegh, S. "Earthquake ground-motion duration estimation using general regression neural network", Scientia Iranica, 25(5), pp. 2425-2439 (2018).
3. Bazmooneh, A. and E. Estekanchi, H. "Determination of target time for endurance time method at different seismic hazard levels", Scientia Iranica, 25(1), pp. 33- 49 (2018).
4. Yaghmaei-Sabegh, S., Karami, S., and Hosseini-Moghadam, M. "Selection and scaling of spectrumcompatible ground motion records using hybrid coded genetic algorithms", Scientia Iranica, 24(3), pp. 910- 925 (2017).
5. Hassani, N., Ghodrati Amiri, G., Bararnia, M., et al. "Ground motion prediction equation for inelastic spectral displacement in Iran", Scientia Iranica, 24(1), pp. 164-182 (2017).
6. Shahbazi, S., Khatibinia, M., Mansouri, I., et al. "Seismic evaluation of special steel moment frames undergoing near-field earthquakes with forward directivity by considering soil-structure interaction effects", Scientia Iranica, 27(5), pp. 2264-2282 (2020).
7. Dehghan, S.M., Najafgholipour, M.A., and Hooshangi, H. "Seismic behavior of chevron concentrically braced frames with weak beam", Scientia Iranica, 27(1), pp. 41-56 (2020).
8. Saafizaadeh, M. and Bagheripour, M.H. "Evaluation of peak ground acceleration for the city of Kerman through seismic hazard analysis", Scientia Iranica, 26(1), pp. 257-272 (2019).
9. Reitherman, R.K., Earthquakes and Engineers: an International History, In, American Society of Civil Engineers (2012).
10. Edwards, B., Zurek, B., van Dedem, E., et al. "Simulations for the development of a ground motion model for induced seismicity in the Groningen gas field, The Netherlands", Bulletin of Earthquake Engineering, 17(8), pp. 4441-4456 (2019).
11. Vassiliou, M.F. and Makris, N. "Estimating time scales and length scales in pulselike earthquake acceleration records with wavelet analysis", Bulletin of the Seismological Society of America, 101(2), pp. 596-618 (2011).
12. Heidari, A. and Raeisi, J. "Investigating the effect of soil type on non-linear response spectrum using wavelet theory", International Journal of Civil Engineering, 17(12), pp. 1909-1918 (2019).
13. Ghaffari, E., E. Estekanchi, H., and Vafai, A. "Application of endurance time method in seismic analysis of bridges", Scientia Iranica, A, 27(4), pp. 1751-1761 (2020).
14. Adhikary, S. and Singh, Y. "Effect of site amplification on inelastic seismic response", Earthquake Engineering and Engineering Vibration, 18(3), pp. 535-554 (2019).
15. Bhargavi, P. and Raghukanth, S.T.G. "Rating damage potential of ground motion records", Earthquake Engineering and Engineering Vibration, 18(2), pp. 233-254(2019).
16. Chen, B.,Wen, Z., andWang, F. "An improved seismic intensity measure of inelastic spectral acceleration based on MPA to reduce the dispersion in IDA",International Journal of Civil Engineering, 16(1), pp.57-65 (2018).
17. Park, J.-H. "Seismic hazard level reduction for existing buildings considering remaining building lifespans",Earthquake Engineering and Engineering Vibration,18(3), pp. 649-661 (2019).
18. Raoufi, R. and Ghafory-Ashtiany, M. "Random vibration of nonlinear structures with stiffness and strength deterioration by modified tail equivalent linearization method", Earthquake Engineering and Engineering Vibration, 18(3), pp. 597-610 (2019).
19. Tasiopoulou, P., Giannakou, A., Drosos, V., et al. "Numerical evaluation of dynamic levee performance due to induced seismicity", Bulletin of Earthquake Engineering, 17(8), pp. 4559-4574 (2019).
20. Zolfaghari, M.R. and Darzi, A. "Ground-motion models for predicting vertical components of PGA, PGV and 5%-damped spectral acceleration (0.01-10 s) in Iran", Bulletin of Earthquake Engineering, 17(7), pp. 3615-3635 (2019).
21. Gholizadeh, S. "Performance-based optimum seismic design of steel structures by a modified fire y algorithm and a new neural network", Advances in Engineering Software, 81, pp. 50-65 (2015).
22. Fakharifar, M., Chen, G., Sneed, L., et al. "Seismic performance of post-mainshock FRP/steel repaired RC bridge columns subjected to aftershocks", Composites Part B: Engineering, 72, pp. 183-198 (2015).
23. Bommer, J.J. and Martinez-Pereira, A. "The effective duration of earthquake strong motion", Journal of Earthquake Engineering, 3(02), pp. 127-172 (1999).
24. Stewart, J.P. and Kramer, S.L., Geotechnical Aspects of Seismic Hazards, CRC Press, pp. 123-230 (2004).
25. Lardies, J. and Gouttebroze, S. "Identification of modal parameters using the wavelet transform", International Journal of Mechanical Sciences, 44(11), pp. 2263-2283 (2002).
26. Yazdani, A. and Takada, T. "Wavelet-based generation of energy-and spectrum-compatible earthquake time histories", Computer-Aided Civil and Infrastructure Engineering, 24(8), pp. 623-630 (2009).
27. Iyama, J. and Kuwamura, H. "Application of wavelets to analysis and simulation of earthquake motions", Earthquake Engineering & Structural Dynamics, 28(3), pp. 255-272 (1999).
28. Heidari, A., Raeisi, J., and Kamgar, R. "Application of wavelet theory in determining of strong ground motion parameters", International Journal of Optimization in Civil Engineering, 8, pp. 103-115 (2018).
29. Pnevmatikos, N.G. and Hatzigeorgiou, G.D. "Damage detection of framed structures subjected to earthquake excitation using discrete wavelet analysis", Bulletin of Earthquake Engineering, 15(1), pp. 227-248 (2017).
30. Pnevmatikos, N.G., Blachowski, B., Hatzigeorgiou, G.D., et al. "Wavelet analysis based damage localization in steel frames with bolted connections", Smart Struct. Syst., 18, pp. 1189-1202 (2016).
31. Heidari, A. and Majidi, N. "Earthquake acceleration analysis using wavelet method", Earthquake Engineering and Engineering Vibration, 20(1), pp. 113-126 (2021).
32. Heidari, A. and Majidi, N. "Investigation of the natural frequency of the structure and earthquake frequencies in the frequency domain using a discrete wavelet (in Persian)", Sharif Journal of Science and Technology, 36.2(2.2), pp. 105-113 (2020). DOI:10.24200/j30.2019.52464.2472.
33. Daubechies, I., Different Perspectives on Wavelets, American Mathematical Soc. (2016).
34. Kamgar, R., Dadkhah, M., and Naderpour, H. "Seismic response evaluation of structures using discrete wavelet transform through linear analysis", In Structures, Elsevier, pp. 863-882 (2021).
35. Dadkhah, M., Kamgar, R., and Heidarzadeh, H. "Reducing the cost of calculations for incremental dynamic analysis of building structures using the discrete wavelet transform", Journal of Earthquake Engineering, 1(1), pp. 1-26 (2020).
36. Kamgar, R., Majidi, N., and Heidari, A. "Continuous wavelet and Fourier transform methods for the evaluation of the properties of critical excitation", Amirkabir J. of Civil & Environmental Engineering, 52(12), pp. 3125-3144 (2019).
37. Majidi, N. and Heidari, A. "Spectral analysis of structures using wavelet theory and concept of time of strong ground motion", Amirkabir Journal of Civil & Environmental Engineering, 52(7), pp. 1685-1704 (2020) (In Persian).
38. Heidari, A., Raeisi, J., and Pahlavan Sadegh, S. "A new method for calculating earthquake characteristics and nonlinear spectra using wavelet theory", Journal of Rehabilitation in Civil Engineering, 8(1), pp. 50-62 (2020).
39. Nasiri, F., Javdanian, H., and Heidari, A. "Seismic response analysis of embankment dams under decomposed earthquakes", Geomech. Eng., 21(1), pp. 35-51(2020).
40. Rioul, O. and Duhamel, P. "Fast algorithms for discrete and continuous wavelet transforms", IEEE Transactions on Information Theory, 38(2), pp. 569- 586 (1992).
41. Bose, N.K., Wavelets and Filter Banks, Springer, pp. 161-188 (2017).
42. Mallat, S.G. "A theory for multiresolution signal decomposition: the wavelet representation", IEEE Transactions on Pattern Analysis & Machine Intelligence, 11(7), pp. 674-693 (1989).
43. Sundararajan, D., Discrete Wavelet Transform: A Signal Processing Approach, John Wiley & Sons (2016).
44. Faroughi, A. and Hosseini, M. "Incremental dynamic analysis of SDOF by using nonlinear earthquake accelerograms based on modified inverse Fourier transform", Journal of Vibroengineering, 19(8), pp. 6170- 6182 (2017).
Scientia Iranica
Volume 29, Issue 6
Transactions on Civil Engineering (A)
November and December 2022
Pages 2773-2788

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History

  • Receive Date: 14 August 2019
  • Revise Date: 25 February 2021
  • Accept Date: 10 January 2022

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