Locating design point in structural reliability analysis by introduction of a control parameter and moving limited regions

Shayanfar, Mohsen Ali; Barkhordari, Mohammad Ali; Roudak, Mohammad Amin

doi:10.1016/j.ijmecsci.2017.04.003

Cited by 13 publications

(2 citation statements)

References 23 publications

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“…In another study, Roudak et al [26] proposed a three-phase algorithm by introduction of a moving fitness function. Combining the concepts of approximation methods and sampling of simulation methods, Shayanfar et al [27,28] represented two methods of searching design point. Shayanfar et al [29] included a new transformation in HL-RF to deal with skew-distributed random variables.…”

Section: Introductionmentioning

confidence: 99%

An Iterative Two-step Lagrangian-based Method for Evaluation of Structural Reliability Index

Roudak

Karamloo²,

Shayanfar³

2022

Period. Polytech. Civil Eng.

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In structural reliability analysis, Hasofer-Lind and Rackwitz-Fiessler (HL-RF) method is a widely used approximation method for evaluating the reliability index. However, by increasing the nonlinearity or complexity in the limit state function of a structure, HL-RF may get in trouble for convergence. This paper represents an iterative algorithm that tries to minimize the Lagrange function, associated with the reliability problem. In each iteration of this method, two steps are followed, to satisfy the minimization condition and the existing constraint. In the first step, a movement for minimization in a descent direction is followed. In the second step, another search direction contributes to approach limit state surface, and therefore the next iteration can start from the vicinity of the surface. Employing Lagrange reliability function and limit state function simultaneously in the proposed two-step Lagrangian-based method (TSLB) can help to control the numerical instability in highly nonlinear problems. The accuracy and robustness of the proposed algorithm are shown in illustrative examples of the literature.

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Section: Introductionmentioning

confidence: 99%

An Iterative Two-step Lagrangian-based Method for Evaluation of Structural Reliability Index

Roudak

Karamloo²,

Shayanfar³

2022

Period. Polytech. Civil Eng.

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“…erefore, when there are many uncertain factors in structure design, it is difficult to ensure the reliability of the structures when using the safety factor method without considering these uncertain factors. Unlike the safety factor method, the reliability method is an effective tool to ensure the safety of structures by considering the impact of structural uncertainties [6][7][8][9]. e reliability methods including the simulation method and approximation method are mainly used in reliability analysis [10,11].…”

Section: Introductionmentioning

confidence: 99%

An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems

Wang

Zhang

Song

2020

Mathematical Problems in Engineering

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The HL-RF algorithm of the first-order reliability method (FORM) is a widely useful tool in structural reliability analysis. However, the iteration results of HL-RF algorithm may not converge due to periodic cycles for some highly nonlinear reliability problems. In this paper, an adaptive first-order reliability method (AFORM) is proposed to improve solution efficiency for some highly nonlinear reliability problems by introducing an adaptive factor. In AFORM, based on the two-parameter approximate first-order reliability method, the new iteration point and the previous iteration point are used to obtain the corresponding angle, and the result of convergence is judged by angle condition. According to the convergence degree of the results, two iteration parameters of the approximate reliability method are adjusted continuously by adaptive factor. Moreover, iteration step size is adjusted by changing the parameters to improve the efficiency and robustness of FORM. Finally, four numerical examples and one mechanical reliability analysis example are used to verify the proposed method. Compared with the different algorithms, the results show that AFORM has better efficiency and robustness for some highly nonlinear reliability problems.

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A Modification to HL-RF Method for Computation of Structural Reliability Index in Problems with Skew-distributed Variables

Shayanfar¹,

Barkhordari

Roudak

2017

KSCE J Civ Eng

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Locating design point in structural reliability analysis by introduction of a control parameter and moving limited regions

Cited by 13 publications

References 23 publications

An Iterative Two-step Lagrangian-based Method for Evaluation of Structural Reliability Index

An Iterative Two-step Lagrangian-based Method for Evaluation of Structural Reliability Index

An Adaptive First-Order Reliability Analysis Method for Nonlinear Problems

A Modification to HL-RF Method for Computation of Structural Reliability Index in Problems with Skew-distributed Variables

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