常用される限界状態関数の3次モーメント推定

概要

論文の詳細を見る
In order to conduct structural reliability analysis using the third-moment method, one should firstly compute the first three moments of the performance functions. In the present paper, the moment computation methods for some commonly used simple functions including linear sum of product of independent random variables are summarized. A a general formula for computing moments of any power of a lognormally distributed random variable is presented. For the functions with second, third, and fourth power or reciprocal of an arbitrary distributed random variable, formulas for approximating the first three moments are given. The simplicity and efficiency of computing the first three moments of the performance functions in practical engineering with the aid of the present formulas are examined from several numerical examples.
社団法人日本建築学会の論文
2007-07-30