Abstract:The earthquake design spectra-compatible motion history is generated by the spectral matching technique in frequency domain while the spectrum of the history is computed by the analytical method. The convergence criterion of the iterative process is presented in this paper. The empirical model of phase difference spectrum is introduced firstly into the simulation of spatial correlated and non-stationary ground motions. The simulated ground motions are expressed by the power spectra, coherence function and random phase angles generated according to the empirical model of phase difference spectrum and are generated by discrete Fourier transform. Combining the design spectral matching technique and the simulation method of seismic field, the multi-damping design spectra-compatible of correlated and non-stationary seismic field is investigated.