International Science Index


10007519

Optimization of Shear Frame Structures Applying Various Forms of Wavelet Transforms

Abstract:

In the present research, various formulations of wavelet transform are applied on acceleration time history of earthquake. The mentioned transforms decompose the strong ground motion into low and high frequency parts. Since the high frequency portion of strong ground motion has a minor effect on dynamic response of structures, the structure is excited by low frequency part. Consequently, the seismic response of structure is predicted consuming one half of computational time, comparing with conventional time history analysis. Towards reducing the computational effort needed in seismic optimization of structure, seismic optimization of a shear frame structure is conducted by applying various forms of mentioned transformation through genetic algorithm.

References:
[1] Salajegheh, E, Heidari, A, “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.
[2] Vojdani R, Alyanamiri, M, shooshtari, A., “Analysis of frames linear behavior under the effect of synthetic accelerograms made by the wavelet method”, National Congress of Applied Civil Engineering and Novel Achievements.
[3] Azadi M, khodadad M., “Solving fractional differential equations by the differential transform method and solving integro-differential equations using some wavelets”, MSc. Thesis, Tehran University for Teacher Education
[4] 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-
[5] Salajegheh, E.; Heidari, A.; “Time History Dynamic Analysis of Structures Using Filter Banks and Wavelet Transforms”, Computers andStructures, Vol. 83, 2005; pp. 53-68.
[6] 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.
[7] 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.
[8] Naseralavi, S. Sadegh, B. Iranmanesh, A.; “Displacement of Sheared Frame Structures in Dynamic Analysis by Reducing Earthquake Points” 2nd national conference of optimization in science and engineering.
[9] Heidari, A. Salajegheh, E.” Approximate analysis of the structures against earthquake using wavelet theory” 6th International Conference of Civil Engineering, Esfahan University of Technology, 2003.
[10] Heidari, A. Salajegheh, E.” Structures optimization using advanced methods", Doctoral Dissertation. Shahid Bahonar University, 1383.
[11] Salajegheh, E, Valvaee, A.” Optimization of space frames using wavelet theory” 6th International Conference of Civil Engineering, Isfahan University of Technology, 1382.
[12] MATLAB 7.0.0.19920 Help system, Release 14, Math Works, Inc.,2014.
[13] Misiti, M., Misiti, Y., Oppenheim, G., Poggi, J.M., 2001, Wavelet toolbox users guide: for use with MATLAB, The Math. Works.