1次元4次モーメント近似による構造物の信頼性解析(<小特集>信頼性工学小特集)

概要

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This paper proposes a method to evaluate the reliability of structures by using moments up to the fourth-order, which are the minimum number of terms reflecting the shape of probability distributions. The one-dimensional cumulative distribution function (c. d. f.) is asymptotically expanded into Edgeworth's series expressed in terms of moments up to the fourth-order. The expanded c. d. f. gives a negative value at the tail of the distribution for some cases of the combination of skewness and kurtosis. Modification is made in the approximation formula to remedy this draw-back, thus making it possible to evaluate any general non-Gaussian c. d. f. The proposed method is applied to the reliability analysis of typical frame structures where the random variables follow non-Gaussian probability distributions. It is shown that the proposed method is very effective for evaluating quantitatively the effects of probability distributions on the resulting structural reliability or failure probability.
社団法人日本材料学会の論文
1982-12-15