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A new probabilistic model of fully non-stationary ground motion and its application

International Conference on Applications of Statistics and Probability (12th : 2015 : Vancouver, B.C.)

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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This collection contains the proceedings of ICASP12, the 12th International Conference on Applications of Statistics and Probability in Civil Engineering held in Vancouver, Canada on July 12-15, 2015. Abstracts were peer-reviewed and authors of accepted abstracts were invited to submit full papers. Also full papers were peer reviewed. The editor for this collection is Professor Terje Haukaas, Department of Civil Engineering, UBC Vancouver.

Vancouver : University of British Columbia Library

10.14288/1.0076174

Non UBC

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/2.5/ca/