Seismic Reliability Analysis of Single-Degree-of-Freedom System when Structural Response is with Markov Property

Zhen Hao Zhang; Wei Jun Yang

doi:10.4028/www.scientific.net/AMM.204-208.2690

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Seismic Reliability Analysis of Single-Degree-of-Freedom System when Structural Response is with Markov Property

Abstract:

The stationary responses process of single-degree-of-freedom structural system is a stationary process with Markov property in displacement-speed space when the random earthquake load is simulated as flat noise or nearly flat noise. In this paper, the seismic reliability of singe-degree-of-freedom structural system of which the structural responses is with Markov property is studied according to first excursion mechanism. The explicit solution method of the structural seismic reliability is deduced. It is shown from the example that the method of this paper is correct. For the seismic reliability analysis of multiple-degree-of-freedom system, the mode-superposition method can be adopted to transform multiple-degree-of-freedom system into a series of generalized single-degree-of-freedom systems, so the method of this paper is also applicable in the theory.

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Periodical:

Applied Mechanics and Materials (Volumes 204-208)

Pages:

2690-2693

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.204-208.2690

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Online since:

October 2012

Authors:

Zhen Hao Zhang, Wei Jun Yang

Keywords:

First Excursion Mechanism, Markov, Seismic Reliability, Seismic Response, Single-Degree-of-Freedom

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References

[1] Li Guiqing, Li Qiusheng: The Engineering Structure Time-varying reliability theory and its application (Science Press, Beijing 2001)

Google Scholar

[2] Ditlevsen.O, Madsen.H.O: Structural Reliability Methods (John Wiley & Sons Ltd, Chichester 2004)

Google Scholar

[3] Zhenhao Zhang. Research on Structural Dynamic Reliability Theory and Seismic Reliability Analysis of Reinforced Concrete Beam Bridge. Changsha University of Science and Technology Doctor's Degree Thesis, (2010)

Google Scholar

[4] Lu Dajin: Random Process and Its Application (Tsinghua University Press, Beijing 2006)

Google Scholar

[5] A H-S ANG, W H TANG: Probability Concepts in Engineering-Emphasis on Applications to Civil and Environmental Engineering (John Wiley & Sons Ltd, Newyork 2007)

Google Scholar