A new probabilistic model of fully non-stationary ground motion and its application Liu, Zhangjun; Liu, Wei; Dan, Qingwen
A numerical simulation scheme is presented that combines the advantages of the spectral representation method (SRM) and the idea of random function to generate fully non-stationary ground motion. In the paper, firstly, a new family of spectral representation method is proposed. Secondly, these standard orthogonal random variables in SRM formula can be defined as the orthogonal function form of a basic random variable, and the original stochastic process can be represented as a function of the basic random variable. Its advantage is proved that fully non-stationary ground motion can be completely represented by a dimension-reduced spectral model with just few elementary random variables through defining the high-dimensional standard orthogonal random variables of classical spectral representation into the low-dimensional orthogonal random function. Finally, it provides an opportunity to incorporate the probability density evolution method (PDEM), and study the stochastic dynamics in engineering.
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