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P. Bjerager and S. Krenk, “Sensitivity Measures in Structural Reliability Analysis,” Reliability and Optimization of Structural Systems, Proceedings of the First IFIP WG 7.5 Working Conference, Springer-Verlag, Aalborg, 1987, pp. 459-470.

has been cited by the following article:

• TITLE: The New Approximate Calculation Method for the First Order Reliability

  AUTHORS: Gangli Hao, Xuli Liang, Shujian Zhang

  KEYWORDS: Reliability; First-Order Second Moment (FOSM); Direct Searching

  JOURNAL NAME: Applied Mathematics, Vol.4 No.3, March 22, 2013

  ABSTRACT: The new method is presented for computing engineering structure reliability by direct searching the next checking point and accelerating convergence based on the analysis of errors in the center point method and borrowing ideas form the merits of the other First-Order Second Moment (FOSM) methods. The idea of the direct searching method is constructing a new explicit searching formula to make the new checking point being more closed to the failure surface based on the results of the center point method. The new checking point has steepest descent character because the searching path is the gradient of the approximate surface. An example shows that the method presented in this article has well precision. Although the direct searching formula may not reach the globally optimal point, the error can be controlled owing to the locally optimal plan at each searching step.