Ys. Li et A. Kareem, SIMULATION OF MULTIVARIATE NONSTATIONARY RANDOM-PROCESSES - HYBRID DFT AND DIGITAL FILTERING APPROACH, Journal of engineering mechanics, 123(12), 1997, pp. 1302-1310
A numerical simulation scheme is presented that combines the advantage
s of the discrete Fourier transform algorithm and a digital filtering
scheme to generate nonstationary multivariate random processes. The re
sulting time histories provide piecewise continuous evolutionary spect
ra and the proposed simulation technique offers significant computatio
nal efficiency. The effectiveness of the proposed technique is demonst
rated with examples. The simulated records are in excellent agreement
with the prescribed probabilistic characteristics. The proposed techni
que has immediate applications to the simulation of ground motions, ev
olutionary sea states, and fast-moving gust fronts.