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A two-step density estimation method and its applications

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

Probability density evolution method (PDEM) provides a feasible approach for dynamic responses analysis of nonlinear stochastic structures. The key issue of PDEM is to solve a generalized density evolution equation (GDEE). Previously, finite difference method (FDM) is resorted to solve GDEE, thus getting the probability density function (PDF) result directly. In this paper, a two-step method that improves the result of FDM by means of nonlinear wavelet density estimation is proposed. By taking advantage of the property of multi-resolution of wavelet, the proposed method tends to give a more accurate result. An 8-story reinforced concrete shear frame with Bouc-Wen hysteretic restoring forces subjected to seismic excitation is investigated. The result shows that the proposed method performs better than FDM.

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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

10.14288/1.0076275

Non UBC

Unreviewed

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