Optimum design of structures against earthquake by discrete wavelet transform

Optimum design of structures is achieved by a modified genetic algorithm. Some features of the simulated annealing are used to control various parameters of the genetic algorithm. The loads are considered as earthquake loads. A time history analysis is carried out for the dynamic analysis. To decrease the computational work of analysis, a discrete wavelet transform is used by which the number of points in the earthquake record is reduced. Then in the optimization process, the structures are analysed with these points. To reconstruct the actual responses of structures from the responses of these points, a reverse wavelet transform is employed. A number of structures are designed for minimum weight and the results are compared with optimal solution using exact dynamic analysis