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Effects of variable transformations on errors in FORM results

Author

Listed:
  • Qin, Quan
  • Lin, Daojin
  • Mei, Gang
  • Chen, Hao

Abstract

On the basis of studies on second partial derivatives of the variable transformation functions for nine different non-normal variables the paper comprehensively discusses the effects of the transformation on FORM results and shows that senses and values of the errors in FORM results depend on distributions of the basic variables, whether resistances or actions basic variables represent, and the design point locations in the standard normal space. The transformations of the exponential or Gamma resistance variables can generate +24% errors in the FORM failure probability, and the transformation of Frechet action variables could generate −31% errors.

Suggested Citation

  • Qin, Quan & Lin, Daojin & Mei, Gang & Chen, Hao, 2006. "Effects of variable transformations on errors in FORM results," Reliability Engineering and System Safety, Elsevier, vol. 91(1), pages 112-118.
    • Handle: RePEc:eee:reensy:v:91:y:2006:i:1:p:112-118
    DOI: 10.1016/j.ress.2004.11.018
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    Cited by:

    1. Ni, Pinghe & Li, Jun & Hao, Hong & Yan, Weimin & Du, Xiuli & Zhou, Hongyuan, 2020. "Reliability analysis and design optimization of nonlinear structures," Reliability Engineering and System Safety, Elsevier, vol. 198(C).

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