Structural System Reliability: Overview of Theories and Applications to Optimization

Song, Junho; Kang, Won‐Hee; Lee, Young‐Joo; Chun, Junho

doi:10.1061/ajrua6.0001122

Cited by 26 publications

(19 citation statements)

References 155 publications

(245 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In general, it is challenging to calculate the n-fold integral in Equation ( 1) when the number of random variables, n, is greater than 3 or 4 because no closed-form solution is available. Many methods have been developed to compute the probability integral [27], among which, the FORM and SORM [6,12] are widely utilized to efficiently evaluate the probability integral defined in Equation (1).…”

Section: Mathematical Basismentioning

confidence: 99%

See 1 more Smart Citation

Reliability-Based Design Optimization of Structures Using the Second-Order Reliability Method and Complex-Step Derivative Approximation

Chun

2021

Applied Sciences

Self Cite

View full text Add to dashboard Cite

This paper proposes a reliability-based design optimization (RBDO) approach that adopts the second-order reliability method (SORM) and complex-step (CS) derivative approximation. The failure probabilities are estimated using the SORM, with Breitung’s formula and the technique established by Hohenbichler and Rackwitz, and their sensitivities are analytically derived. The CS derivative approximation is used to perform the sensitivity analysis based on derivations. Given that an imaginary number is used as a step size to compute the first derivative in the CS derivative method, the calculation stability and accuracy are enhanced with elimination of the subtractive cancellation error, which is commonly encountered when using the traditional finite difference method. The proposed approach unifies the CS approximation and SORM to enhance the estimation of the probability and its sensitivity. The sensitivity analysis facilitates the use of gradient-based optimization algorithms in the RBDO framework. The proposed RBDO/CS–SORM method is tested on structural optimization problems with a range of statistical variations. The results demonstrate that the performance can be enhanced while satisfying precisely probabilistic constraints, thereby increasing the efficiency and efficacy of the optimal design identification. The numerical optimization results obtained using different optimization approaches are compared to validate this enhancement.

show abstract

Section: Mathematical Basismentioning

confidence: 99%

“…Decoupling approaches [37,38] decouple the outerloop optimization from the reliability analysis by constructing an equivalent deterministic optimization problem. A comprehensive review of the structural reliability analysis and RBDO has been presented by Song et al [27].…”

Section: Reliability-based Design Optimizationmentioning

confidence: 99%

Reliability-Based Design Optimization of Structures Using the Second-Order Reliability Method and Complex-Step Derivative Approximation

Chun

2021

Applied Sciences

Self Cite

View full text Add to dashboard Cite

show abstract

“…Among a variety of system reliability methods (Song et al 2021) that were developed to compute the series system failure probability, this study adopts the approach by Straub et al (2020) in which the FORM approximation is estimated by a sampling method. This approach was developed to cover the same kind of problems as ULS1, which is used as the limit state in this paper.…”

Section: Computation Of Time-dependent Reliabilitymentioning

confidence: 99%

Time-Dependent Reliability Assessment and Updating of Post-tensioned Concrete Box Girder Bridges Considering Traffic Environment and Corrosion

Kim

Song

2021

ASCE-ASME J. Risk Uncertainty Eng. Syst., Part A: Civ. Eng.

Self Cite

View full text Add to dashboard Cite

In the reliability assessment of a bridge in operation with regards to its ultimate limit state, it should be noted that the strengths of members and effects of traffic load vary continuously over its lifespan due to the structural deterioration and changes of the traffic environment, respectively. Therefore, it is essential to collect relevant data, and incorporate the extracted information into a time-dependent reliability analysis. However, previous studies have not considered both traffic load effects and material deterioration models in timedependent reliability assessment for prestressed concrete (PSC) box girder bridges. To overcome this limitation and assess the reliability efficiently, this paper presents a comprehensive framework for time-dependent reliability assessment of post-tensioned concrete box girder bridges that can consider the traffic environment change and the corrosion in steel strands. The proposed framework employs probabilistic models and methods to estimate the flexural strengths and traffic load effects of a PSC box girder over time based on (1) corrosion-related data collected in the current practice of structure safety inspection, and (2) the traffic environment data obtained through weigh-in-motion (WIM) devices and traffic investigation. The time-dependent reliability is then computed using structural reliability methods based on the estimated strengths and load effects. As a numerical example, the time-dependent reliability of the PSC box girder of an actual cable-stayed bridge, Hwayang-Jobal Bridge in South Korea, is evaluated using the proposed framework. It is demonstrated that the framework can effectively assess the time-dependent reliability of a bridge in operation based on the uncertainties in the traffic environment and corrosion, and update it through data obtained by monitoring and inspection.

show abstract

“…Work [1] shows the structural systemic reliability of research objects. An overview of theories and optimization plugins is given.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Devising a method to control the operational quality and reliability of fiber-optical communication lines

Kiforuk¹

2021

EEJET

View full text Add to dashboard Cite

The lack of recommendations in the normative and technical documentation related to fiber-optic communication lines (FOCL) for assessing their technical condition necessitated devising a method to control the lines' quality and reliability of operation. The method creates the basis for calculating the quality and reliability indicators of FOCL operation and suggests measures to improve them. It determines the methods of control, as well as the acquisition, accounting, and analysis of damage statistics with and without interruption of communication. The graphic sequence of implementation of the stages of the method demonstrates that resolving the task to control these indicators should involve: – managing the acquisition and actual acquisition of operational data on damages (the causes, nature, quantity, the duration of communication breakdown and complete elimination of damage); – determining the quality and reliability indicators of FOCL operation annually; – analysis of the obtained results and the development (correction) of measures to comply with the norms of these indicators; – the implementation of measures to comply with the norms of quality and reliability of FOCL operation (if necessary). Based on the operational data from a line operator acquired over three years in the specified climatic zone (a cable of the type OKLBg-3 DA12-3×4E-0.4F3.5/0.22N18-12/0), the methodical component of the method was examined. The obtained results on the operational quality (damage density, average damage duration, break (downtime) of communication) and reliability indicators (FOCL readiness factor) of a subscriber access network without reservation showed that the line had low efficiency. The communication breakdown over three years amounted to K=12,569.8 stream∙hours. The downtime at this volume of digital stream∙hours has led to significant economic losses. Line operators have been given recommendations for the proper FOCL operation and ensuring a normalized value of the line readiness coefficient. To this end, it is necessary to reduce the time to re-link and prolong the line's failure-free operation

show abstract

Structural System Reliability: Overview of Theories and Applications to Optimization

Cited by 26 publications

References 155 publications

Reliability-Based Design Optimization of Structures Using the Second-Order Reliability Method and Complex-Step Derivative Approximation

Reliability-Based Design Optimization of Structures Using the Second-Order Reliability Method and Complex-Step Derivative Approximation

Time-Dependent Reliability Assessment and Updating of Post-tensioned Concrete Box Girder Bridges Considering Traffic Environment and Corrosion

Devising a method to control the operational quality and reliability of fiber-optical communication lines

Contact Info

Product

Resources

About