Optimum Design of Structures Against earthquake by Simulated Annealing Using Wavelet Transform

Document Type: Regular Article

Authors

1 Associate Professor, Department of Civil Engineering, Shahrekord University, Shahrekord, Iran

2 M.Sc., Department of Civil Engineering, Shahrekord University, Shahrekord, Iran

Abstract

Optimization of earthquake-affected structures is one of the most widely used methods in structural engineering. In this paper optimum design of structures is achieved by simulated annealing method. The evolutionary algorithm is employed for optimum design of structures. To reduce the computational work, a discrete wavelet transform is used by means of which the number of points in the earthquake record is decreased. The loads are considered as earthquake loads. A time history analysis is carried out for the dynamic analysis. By discrete wavelet transform (DWT) the earthquake record is decomposed into a number of points. Then in the optimization process, the structures are analyzed for these points. To reconstruct the actual responses from these points, a reverse wavelet transform (RWT) was used. A number of space structures are designed for minimum weight and the results are compared with exact dynamic analysis. The result show, DWT and RWT were an effective approach for reducing the computational cost of optimization.

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