Numerical Simulation of Wind Velocity History on the Basis of Orthogonal Inverse Wavelet Transform

Wind load is one of the major even decisive factors to large-structure for which the time domain analysis of wind-induced dynamic response is required.The problem how to input the wind load is therefore to be solved first.According to the idea of multi-resolution analysis and orthonormal wavelets,relationship between wavelet coefficients and PSD(power spectral density) function is deduced,then the wavelet coefficients on each and every scale are obtained from the given PSD function.As a result,the inverse wavelet transform is applied to generating stationary wind velocity history through the given wavelet coefficients.In this way the L-P wavelet is applied to simulating the pulsate wind velocity history at a certain point,which conforms to Davenport power spectral density.A numerical example shows that the simulated PSD is consistent with the prescribed one and the method is valid.