FIRST THREE MOMENTS OF SOME COMMONLY USED PERFORMANCE FUNCTIONS

• ZHAO Yan-Gang

  Dept. of Architecture, Nagoya Institute of Technology

• LU Zhao-Hui

  Dept. of Architecture, Nagoya Institute of Technology

• ONO Tetsuro

  Dept. of Architecture, Nagoya Institute of Technology

Bibliographic Information

Other Title

• 常用される限界状態関数の3次モーメント推定

Abstract

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.

Journal

• Journal of Structural and Construction Engineering (Transactions of AIJ)

  Journal of Structural and Construction Engineering (Transactions of AIJ) 72 (617), 31-37, 2007

  Architectural Institute of Japan

Keywords

• structural reliability
• performance functions
• moment evaluation

Details

• CRID: 1390001205670960384
• NII Article ID: 110006317791
• NII Book ID: AN10438559
• DOI: 10.3130/aijs.72.31_3
• ISSN: 18818153
• ISSN: 13404202
• NDL BIB ID: 8882810
• Web Site: http://id.ndl.go.jp/bib/8882810
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8882810
• Web Site: https://www.jstage.jst.go.jp/article/aijs/72/617/72_KJ00004621781/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed