Abstract
Generalized HLRF is a reliability method for the computation of the reliability index and evaluation of the safety of structures. Two adjusting parameters of generalized HLRF have given the potential flexibility to deal with different problems with different nonlinearity degrees. However, an applicable criterion or approach for determination of these parameters in terms of the existing nonlinearity has not been defined. This paper proposes an iterative algorithm for adjusting the parameters proportional to the corresponding nonlinearity. This was carried out by introducing two criteria, each of which was used to modify one parameter in the iterations. One parameter is assigned to control the numerical instability of the value of the limit state function, and the other is to control the numerical instability of the angle between the design point and gradient vector. It is shown that the technique of classifying the instability avoids unnecessary reductions of step lengths and therefore promotes efficiency. For one of the parameters, a new lower limit is also defined in this paper. The effectiveness of the proposed algorithm is illustrated through implementation in common highly nonlinear problems of the literature. Moreover, the accuracy, robustness and efficiency of the proposed algorithm are evaluated by comparing the results with six reliability methods.
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Roudak M. A., Karamloo M. and Shayanfar M. A. The first draft of the manuscript was written by Roudak M. A. and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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Roudak, M.A., Karamloo, M. & Shayanfar, M.A. A numerical optimization approach for structural reliability analysis using the control parameters in the generalized HLRF method. Asian J Civ Eng 23, 1321–1342 (2022). https://doi.org/10.1007/s42107-022-00487-z
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DOI: https://doi.org/10.1007/s42107-022-00487-z