Application of rational polynomial technique to reliability analysis of engineering structure
  Revised:October 28, 1999
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DOI:10.7511/jslx20014096
KeyWord:structural reliability,reliability improved FOSM method,rational polynomial technique,implicit performance function
XU Jun  ZHENG Ying ren
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Abstract:
      In this paper, an iteration procedure for calculation of structural reliability index in the basic variables correlation space is proposed, and the rational polynomial technique is adopted to calculate the derivatives of the performance function at the design test point, which can simulate the reliability problems with the closed formed performance function in actual engineering. So, no matter the performance function is linear or nonlinear, explicit or inexplicit, this method is simple and suitable. Three illustrative examples are presented in this paper: first for linear and explicit performance function, second for nonlinear and explicit performance function, the third example for implicit performance function. The results for reliability index are compared with the other methods and show that this method has good efficiency and accuracy.