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A hybrid relaxed first-order reliability method for efficient structural reliability analysis
HighlightsAn iterative formula is developed based on a hybrid algorithm for robust and efficient FORM.A relaxed factor is dynamically adapted to achieve stabilization of relaxed HL-RF (RHL-RF).A hybrid relaxed HL-RF method is formulated based on HL-RF and RHL-RF using an angle criterion.Angle criterion is computed by the angle between the new and previous search directions.The HRHL-RF is remarkably more efficient than existing FORM methods and more robust than the HL-RF.
AbstractThe Hasofer-Lind and Rakwitz-Fiessler (HL-RF) algorithm is widely used for structural reliability analysis in first-order moment method (FORM). However, it meets non-convergence problem including generating periodic and chaotic solutions for highly nonlinear limit state function. In this paper, relaxed HL-RF (RHL-RF) is developed based on a relaxed factor, which is dynamically computed by the second-order interpolation between zero and one. A hybrid relaxed HL-RF (HRHL-RF) method is proposed, in which the HL-RF and RHL-RF are adaptively implemented by using an angle criterion to improve the robustness and efficiency of FORM formula. The angle condition is simply calculated based on the results from the new and previous points. Finally, the performances in terms of robustness and efficiency of the HRHL-RF are compared with several existing FORM methods through five mathematical and structural examples. The results indicate that HRHL-RF method is more robust than the HL-RF and more efficient than other existing methods.
A hybrid relaxed first-order reliability method for efficient structural reliability analysis
HighlightsAn iterative formula is developed based on a hybrid algorithm for robust and efficient FORM.A relaxed factor is dynamically adapted to achieve stabilization of relaxed HL-RF (RHL-RF).A hybrid relaxed HL-RF method is formulated based on HL-RF and RHL-RF using an angle criterion.Angle criterion is computed by the angle between the new and previous search directions.The HRHL-RF is remarkably more efficient than existing FORM methods and more robust than the HL-RF.
AbstractThe Hasofer-Lind and Rakwitz-Fiessler (HL-RF) algorithm is widely used for structural reliability analysis in first-order moment method (FORM). However, it meets non-convergence problem including generating periodic and chaotic solutions for highly nonlinear limit state function. In this paper, relaxed HL-RF (RHL-RF) is developed based on a relaxed factor, which is dynamically computed by the second-order interpolation between zero and one. A hybrid relaxed HL-RF (HRHL-RF) method is proposed, in which the HL-RF and RHL-RF are adaptively implemented by using an angle criterion to improve the robustness and efficiency of FORM formula. The angle condition is simply calculated based on the results from the new and previous points. Finally, the performances in terms of robustness and efficiency of the HRHL-RF are compared with several existing FORM methods through five mathematical and structural examples. The results indicate that HRHL-RF method is more robust than the HL-RF and more efficient than other existing methods.
A hybrid relaxed first-order reliability method for efficient structural reliability analysis
Keshtegar, Behrooz (author) / Meng, Zeng (author)
Structural Safety ; 66 ; 84-93
2017-02-26
10 pages
Article (Journal)
Electronic Resource
English
MCS , Monte Carlo simulation , FORM , first-order reliability method , SORM , second-order reliability method , LSF , limit state function , HL-RF , Hasofer-Lind and Rakwitz-Fiessler , FSL , finite-step length , IHL-RF , improved HL-RF , CC , chaos control method , CHL-RF , conjugate HL-RF , RHL-RF , relaxed HL-RF method , HRHL-RF , hybrid relaxed HL-RF method , MPP , most probable point , Reliability analysis , First-order reliability method , Hybrid relaxed HL-RF , Angle criterion
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