Dynamic analysis of shear building structure using wavelet transform

Document Type : Research

Authors

1 Associate Professor, Department of civil engineering, Shahrekord University of Iran, Shahrekord, Iran,

2 MSc in water and hydraulic structure, Department of civil engineering, Shahrekord University of Iran, Shahrekord,

Abstract

Dynamic analysis of shear building structures (SBS) is achieved using fast wavelet transform (FWT). The loads are considered as acceleration of earthquake record. for the analysis, A time history dynamic analysis is carried out. A fast wavelet transform is used by which the number of points in the earthquake record is reduced by filter bank. In the filter bank method, the low-pass and high-pass filters are used for the decomposition of earthquake record into two parts. One part contains the low frequency, and the other part contains the high frequency of the record. The low frequency is the most important part; therefore, this part of the record is used for dynamic analysis of structures. A shear building structure is analyzed and the results are compared with exact dynamic analysis (EDA) and fast Fourier transform  method. It is concluded that the best choice for approximation record was the second and third stage of decomposition. Also, overall time for dynamic analysis was reduced using Fwt.
 

Keywords

References

1. Paz, M., Structural dynamics: theory and computation. Springer Science & Business Media, 2012.
2. Thambiratnam, D. Zhuge, Y., "Dynamic analysis of beams on an elastic foundation subjected to moving loads", Journal of sound and vibration, vol.198, 1996, p.149-169. [DOI:10.1006/jsvi.1996.0562]
3. Chang TP, Liu YN., "Dynamic finite element analysis of a nonlinear beam subjected to a moving load", International Journal of Solids and Structures. 1996, vol. 33, p.1673-1688. [DOI:10.1016/0020-7683(95)00128-X]
4. Dimitrovová, Z., "A general procedure for the dynamic analysis of finite and infinite beams on piece-wise homogeneous foundation under moving loads" Journal of Sound and Vibration, vol. 329, 2010, p. 2635-2653. [DOI:10.1016/j.jsv.2010.01.017]
5. Salajegheh E. Heidari A. "Dynamic analysis of structures against earthquake by combined wavelet transform and fast Fourier transform", Asian Journal of Civil Engineering, vol. 3, 2002, p. 75-87.
6. Salajegheh E. Heidari A. "Time history dynamic analysis of structures using filter banks and wavelet transforms", Computers and Structures, vol. 83, 2005, p. 53-68. [DOI:10.1016/j.compstruc.2004.08.008]
7. Heidari A. Salajegheh E. "Time history analysis of structures for earthquake loading by wavelet networks", Asian Journal of Civil Engineering, vol. 7, 2006, p. 155-168.
8. Heidari A. Salajegheh E. "Approximate dynamic analysis of structures for earthquake loading using FWT", International Journal of Engineering (IJE), I.R.I., vol. 20, 2007, p. 37-47.
9. Kaveh A. Aghakouchak AA. Zakian P. "Reduced record method for efficient time history dynamic analysis and optimal design. Earthquakes and Structures", vol. 8, 2015, P. 639-63. [DOI:10.12989/eas.2015.8.3.639]
10. Naseralavi SS. Balaghi S. Khojastehfar E. "Effects of Various Wavelet Transforms in Dynamic Analysis of Structures". World Academy of Science, Engineering and Technology, International Journal of Civil, Environmental, Structural, Construction and Architectural Engineering. Vol. 10, 2016, p. 860-4.
11. Salajegheh E. Heidari A. "Optimum design of structures against earthquake by adaptive genetic algorithm using wavelet networks", Structural and Multidisciplinary Optimization, vol. 28, 2004, p. 277-285. [DOI:10.1007/s00158-004-0422-z]
12. Salajegheh E. Heidari A. "Optimum design of structures against earthquake by wavelet transforms and filter banks", International Journal of Earthquake Engineering and Structural Dynamics, vol. 34, 2004, p. 67-82. [DOI:10.1002/eqe.417]
13. Salajegheh E. Heidari A. Saryazdi S. "Optimum design of structures against earthquake by discrete wavelet transform," International Journal for Numerical Methods in Engineering, vol. 62, 2005, p. 2178-2192. [DOI:10.1002/nme.1279]
14. Heidari A. "Optimum design of structures for earthquake induced loading by genetic algorithm using wavelet transform", Advances in Applied Mathematics and Mechanics, vol. 2, 2010, p. 107-117. [DOI:10.4208/aamm.09-m0932]
15. Gholizadeh, S., Samavati, O.A., "Structural optimization by wavelet transforms and neural networks", Applied Mathematical Modelling, vol. 35, 2011, p. 915-29. [DOI:10.1016/j.apm.2010.07.046]
16. Heidari, A., Raeisi, J. "Optimum Design of Structures Against earthquake by Simulated Annealing Using Wavelet Transform". Soft Computing in Civil Engineering, vol. 2, 2018, p. 23-33.
17. Polikar R. "The Wavelet Tutorial", http://www.public.iastate.edu/~rpolikar/WAVELETS/ wave letindex html, 1996.
18. Chen, W.K., The circuits and filters handbook. CRC Press, Inc, 2009.
19. Strang G., Nguyen T. "Wavelets and Filter Banks", New York: Wellesley-Cambridge Press, 1996.
20. Roerdink J.B.T.M. "Wavelets for Signal and Image Processing", Lecture notes, Department of Computing Science, Rijksuniversiteit Groningen, NL, 1993.
21. Kaveh, A., Mahdavi, V. R., "A new method for modification of ground motions using wavelet transform and enhanced colliding bodies optimization", Applied Soft Computing, vol. 47, 2016, p. 357-369. [DOI:10.1016/j.asoc.2016.06.021]
22. Heidari, A., Raeisi, J., Kamgar, R., "Application of wavelet theory in determining of strong ground motion parameters", Internarial. Journal of Optimization in Civil Engineering, vol. 8, 2018, p. 103-115.
23. Wang, Z., Zhang, B., Gao, J., Wang, Q., Huo Liu, Q., Wavelet transform with generalized beta wavelets for seismic time-frequency analysis. Geophysics, vol. 82, 2017, pp.O47-O56. [DOI:10.1190/geo2016-0342.1]
24. Pnevmatikos, N.G., Hatzigeorgiou, G.D., Damage detection of framed structures subjected to earthquake excitation using discrete wavelet analysis. Bulletin of Earthquake Engineering, vol. 15, 2017, pp.227-248. [DOI:10.1007/s10518-016-9962-z]
25. Oppenheim A.V., Schafer R.W., Buck J.R. "Discrete-Time Signal Processing", New Jersey: Prentice Hall, 1999.
26. Thuillard M. "Wavelets in Soft Computing", New York: World Scientific Publishing Co. Pte. Ltd., 2001. [DOI:10.1142/4690]
27. Burrus C.S., Gopinath, R.A., Guo. H. "Introduction to Wavelets and Wavelet Transforms, a Primer", New Jersey: Prentice Hall, 1998
Numerical Methods in Civil Engineering
Volume 2, Issue 4
June 2018
Pages 20-26

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History

  • Receive Date: 13 November 2017
  • Revise Date: 20 January 2018
  • Accept Date: 13 March 2018

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