Zhao,
Y.G., Lu, Z.H., Fourth moment standardization for structural reliability assessment, Journal of Structural Engineering, ASCE, 916-924, Vol. 133, No. 7, 2007.7,
In the present paper, in order to conduct structural reliability analysis without the exclusion of random variables having unknown distributions, the third-order polynomial normal transformation technique using the first four central moments is investigated, and an explicit fourth-moment standardization function is proposed. Using the proposed method, the normal transformation for random variables with unknown cumulative distribution functions can be realized without using the Rosenblatt transformation. The proposed method is found to be sufficiently accurate in its inclusion of the random variables which have unknown cumulative distribution functions, in structural reliability analyses with minimal additional computational effort. |
|
趙 衍剛, 盧
朝輝, 小野 徹郎，常用される限界状態関数の３次モーメント推定、日本建築学会構造系論文集, No.617, 31-37, 2007.7
本論文では、構造工学で良く用いるいくつかの限界状態関数の形式に対して、3次モーメントの簡単計算式を提示することを目的としている。本論文提示式により、構造工学における数多くの限界状態関数の3次までのモーメントを簡単に計算することができる。提示式には確率変数の統計モーメントは用いておらず、確率変数の分布形が分からない時でも、適用できる。
|
|
Zhao, Y.G., Zhong, W.Q., Ang,A.H-S, Estimating Joint Failure Probability of Series Structural Systems; Journal of Engineering Mechanics, ASCE, Vol. 133, No. 5, 588-596, 2007.5
The failure probability of a series structural
system involves multi-dimensional integration and is usually difficult to
calculate. The search for efficient computational procedures for estimating system
reliability has been continuing for some time. A computationally effective
method for system reliability is proposed and examined for series systems. Based on the calculations of several illustrative
examples, it can be seen that the results of the present method are in good
agreement with those obtained through integration. |
|
|
