In the analysis of structural reliability, often a sequence of design points associated with a set of thresholds are sought in order to determine the tail distribution of a response quantity. In this paper, after a brief review of methods for determining the design point, an inverse reliability method named the λ-method is introduced for efficiently determining the sequence of design points. The λ-method uses Broyden's "good" method to solve a set of nonlinear simultaneous equations to find the design points for the values of an implicitly defined threshold that is associated with parameter λ. In a special parameter setting, the λ parameter equals the reliability index, thus allowing convenient implementation of the method. Three numerical examples illustrate the accuracy and efficiency of the proposed method.

An algorithm for finding a sequence of design points in reliability analysis / Wang, Z.; Broccardo, M.; Der Kiureghian, A.. - In: STRUCTURAL SAFETY. - ISSN 0167-4730. - ELETTRONICO. - 58:(2016), pp. 52-59. [10.1016/j.strusafe.2015.09.004]

An algorithm for finding a sequence of design points in reliability analysis

Broccardo M.;
2016

Abstract

In the analysis of structural reliability, often a sequence of design points associated with a set of thresholds are sought in order to determine the tail distribution of a response quantity. In this paper, after a brief review of methods for determining the design point, an inverse reliability method named the λ-method is introduced for efficiently determining the sequence of design points. The λ-method uses Broyden's "good" method to solve a set of nonlinear simultaneous equations to find the design points for the values of an implicitly defined threshold that is associated with parameter λ. In a special parameter setting, the λ parameter equals the reliability index, thus allowing convenient implementation of the method. Three numerical examples illustrate the accuracy and efficiency of the proposed method.
Wang, Z.; Broccardo, M.; Der Kiureghian, A.
An algorithm for finding a sequence of design points in reliability analysis / Wang, Z.; Broccardo, M.; Der Kiureghian, A.. - In: STRUCTURAL SAFETY. - ISSN 0167-4730. - ELETTRONICO. - 58:(2016), pp. 52-59. [10.1016/j.strusafe.2015.09.004]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11572/276245
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