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http://dx.doi.org/10.7734/COSEIK.2013.26.3.183

Structure Reliability Analysis using 3rd Order Polynomials Approximation of a Limit State Equation  

Lee, Seung Gyu (Korea Aerospace Research Institute)
Kim, Sung Chan (Korea Aerospace Research Institute)
Kim, Tea Uk (Korea Aerospace Research Institute)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.26, no.3, 2013 , pp. 183-189 More about this Journal
Abstract
In this paper, uncertainties and failure criteria of structure are mathematically expressed by random variables and a limit state equation. A limit state equation is approximated by Fleishman's 3rd order polynomials and the theoretical moments of an approximated limit state equation are calculated. Fleishman introduced a 3rd order polynomial in terms of only standard normal distiribution random variables. But, in this paper, Fleishman's polynomial is extended to various random variables including beta, gamma, uniform distributions. Cumulants and a normalized limit state equation are used to calculate a theoretical moments of a limit state equation. A cumulative distribution function of a normalized limit state equation is approximated by a Pearson system.
Keywords
reliability analysis; pearson system; moments; cumulants;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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