Effects of Various Wavelet Transforms in Dynamic Analysis of Structures
Time history dynamic analysis of structures is considered as an exact method while being computationally intensive. Filtration of earthquake strong ground motions applying wavelet transform is an approach towards reduction of computational efforts, particularly in optimization of structures against seismic effects. Wavelet transforms are categorized into continuum and discrete transforms. Since earthquake strong ground motion is a discrete function, the discrete wavelet transform is applied in the present paper. Wavelet transform reduces analysis time by filtration of non-effective frequencies of strong ground motion. Filtration process may be repeated several times while the approximation induces more errors. In this paper, strong ground motion of earthquake has been filtered once applying each wavelet. Strong ground motion of Northridge earthquake is filtered applying various wavelets and dynamic analysis of sampled shear and moment frames is implemented. The error, regarding application of each wavelet, is computed based on comparison of dynamic response of sampled structures with exact responses. Exact responses are computed by dynamic analysis of structures applying non-filtered strong ground motion.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1125473Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 930
 Paz, M., “Structural Dynamics: Theory and Computation,” Van Nostrand, Amsterdam, McGraw Hill, New York, 1986.
 E Salajegheh, and A Heidari, “Optimum design of structures against earthquake by wavelet neural network and filter banks,” Earthquake Engineering & Structural Dynamics, vol. 34, pp. 67-82, 2005.
 A. Hassanzadeh, and A. Jalali, “Recognition of damage to the bridge using continuous wavelet transform algorithm,” in Proc. Civilica Conf. Rehabilitation and retrofitting urban areas in vicinity of active faults, Tabriz, 1391AH.
 S. S. Naseralavi, S. Balaghi, A. Iranmanesh “Displacement of shear frames structures in dynamic analysis with reducing earthquake points,” in Proc. Civilica Conf. Optimization in science and engineering, Babol, 1394 AH.
 S. S. Naseralavi, S. Balaghi, A. Iranmanesh, “The impact of reduce sampling in seismic response of bending frame,” in Proc. Civilica Conf. Optimization in science and engineering, Babol, 1394 AH.
 E. Salajegheh, and A. Heidari.; “Optimum Design of Structures against Earthquake by Adaptive Genetic Algorithm Using Wavelet Networks”, Structural and Multidisciplinary Optimization, Vol. 28, 2004; pp. 277-285.
 E. Salajegheh, A. Heidari, “Dynamic Analysis of Structures Against Earthquake by Combined Wavelet Transform and Fast Fourier Transform”, Asian Journal of Structural Engineering, Vol. 3, 2002; pp. 75-87.
 Salajegheh, E.; Heidari, A.; “Time History Dynamic Analysis of Structures Using Filter Banks and Wavelet Transforms”, Computers and Structures, Vol. 83, 2005; pp. 53-68.
 A. Heidar, E. Salajegheh, “Time History Analysis of Structures for Earthquake Loading by Wavelet Networks”, Asian Journal of Structural Engineering, Vol. 7, 2006; pp. 155-168.
 E. Salajegheh, A. Heidari, S. Saryazdi, ; “Optimum Design of Structures Against Earthquake by Discrete Wavelet Transform,” International Journal for Numerical Methods in Engineering,Vol. 62, 2005, pp. 2178-2192.
 W. J. Emery, Thomson, R. E.; “Data Analysis Methods in Physical Oceanography”, Pergamum Press, Oxford; 1997.