Risk-based cost-benefit analysis for the retrofit of bridges exposed to extreme hydrologic events considering multiple failure modes

Mondoro, Alysson; Frangopol, Dan M.

doi:10.1016/j.engstruct.2017.12.029

Cited by 32 publications

(17 citation statements)

References 26 publications

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“…Then the bridge fragility is increased due to the increase in columns fragilities. Similar findings of the negative effect of shear keys on the bridge have also been discussed in past studies [13,24,49].…”

Section: Results and Discussion Of Seismic Resilience Analysissupporting

confidence: 89%

“…(1) can perform the unbiased estimation of RBCBRs. Similar methods can be found in past studies [13,21,30].…”

Section: Probabilistic Resilience-based Cost-benefit Analysismentioning

confidence: 67%

“…These methods are very useful to identify the most cost-effective retrofit strategy for structures subjected to extreme natural events. For example, Mondoro and Frangopol [13] emphasized the use of benefit-cost analysis for individual management strategies to determine the cost-effective retrofit for the case study bridge under the river flows expected for the three flood hazard exposure cases. Dong and Frangopol [14] also underlined the use of probabilistic cost-benefit analysis to support the flood hazard mitigation procedure of portfolios of buildings under different retrofit actions in a life-cycle context.…”

Section: Introductionmentioning

confidence: 99%

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Probabilistic Seismic Resilience-Based Cost–Benefit Analysis for Bridge Retrofit Assessment

Gao

2020

Arab J Sci Eng

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This paper explores a probabilistic resilience-based cost-benefit model that can be used to identify the best retrofit measures for bridges. In the model, the increase in resilience is considered to be the benefit of seismic retrofit. A bridge functionality assessment model is also proposed to evaluate resilience. The functionality is estimated based on the appropriate seismic loss and exponential recovery function models. Then, the functionality assessment model is validated with the field data of the post-earthquake recovery process of bridges. The whole proposed methodology is applied to a non-seismically designed multi-span simply supported concrete girder bridge located in Charleston. Seven retrofit measures, including steel jackets, seat extenders and elastomeric isolation bearings, are applied to the as-built bridge in order to assess their cost-effectiveness. The results show that the cost-effectiveness of retrofit measures varies with the ground motion intensity, and the best retrofit is seat extenders followed by elastomeric isolation bearings when considering the seismic hazard of Charleston. Sensitivity analysis is also performed to identify major uncertain parameters to which the resilience-based cost-benefit ratios are most sensitive. Statistical analysis of resilience-based cost-benefit ratios obtained through random sampling of major uncertain parameters reveals that normal distribution can be used to describe their uncertain nature. The 90% confidence intervals of resilience-based cost-benefit ratios estimated from random sampling also indicate the high cost-effectiveness of seat extenders and elastomeric isolation bearings to enhance bridge performance.

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Section: Results and Discussion Of Seismic Resilience Analysissupporting

confidence: 89%

“…(1) can perform the unbiased estimation of RBCBRs. Similar methods can be found in past studies [13,21,30].…”

Section: Probabilistic Resilience-based Cost-benefit Analysismentioning

confidence: 67%

Section: Introductionmentioning

confidence: 99%

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Probabilistic Seismic Resilience-Based Cost–Benefit Analysis for Bridge Retrofit Assessment

Gao

2020

Arab J Sci Eng

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“…A FE software is functional for this task, such as the OpenSees software framework (McKenna et al, 2010). Mondoro and Frangopol (2018) described salient limit states for bridges subjected to hydraulic loads, and the subset studied in this paper (shown in Figure 2) includes yielding of the girders or piers, unseating or uplift of the girders, failure of the bearings, and excessive global displacement of the superstructure at which transient fluid-structure interaction is important (i.e. the CFD modeling approach is limited).…”

Section: Methodsmentioning

confidence: 99%

“…2016; Carey et al, 2019), especially between earthquake and tsunami. Other studies (Mondoro and Frangopol, 2018;Liu et al, 2018;Yilmaz et al, 2016) that tackled flood impact to bridges generally expressed the hazard through flood hazard curves, generated via flood-frequency analysis; however, a detailed hydraulic analysis was beyond the scope of their work.…”

Section: Introductionmentioning

confidence: 99%

Assessing flooding impact to riverine bridges: an integrated analysis

Pregnolato

Winter

Mascarenas

et al. 2020

Preprint

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Abstract. Flood events are the most frequent cause of damage to infrastructure compared to any other natural hazard, and global changes (climate, socio-economic, technological) are likely to increase this damage. Transportation infrastructure systems are responsible for moving people, goods and services, and ensuring connection within and among urban areas. A failed link in this system can impact the community by threatening evacuation capability, recovery operations and the overall economy. Bridges are critical links in the wider urban system since they are associated with little redundancy and a high (re)construction cost. Riverine bridges are particularly prone to failure during flood events; in fact, the risks to bridges from high river flows and bank erosion have been recognized as crucial at global level. The interaction among flow, structure and network is complex, and yet to be fully understood. This study aims to establish rigorous practices of Computational Fluid Dynamics (CFD) for modelling hydrodynamic forces on inundated bridges, and understanding the consequences of such impact on the surrounding network. Objectives of this study are to model hydrodynamic forces as demand on the bridge structure, to advance a reliability analysis of the structure under the modelled loading and to assess the overall impact at systemic level. The flood-prone City of Carlisle (UK) is used as case study and a proof of concept. Implications of the hydrodynamic impact on the performance and functionality of the surrounding transport network are discussed. This research will help to fill the gap between current guidance for design and assessment of bridges within the overall transport system.

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A system reliability estimation method by the fourth moment saddle point approximation and copula functions

Zhu

Lü

Zhang

2021

Quality & Reliability Eng

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Despite many advances in the field of computational system reliability analysis, estimating the joint probability distribution of correlated non-normal state variables on the basis of incomplete statistical data brings great challenges for engineers. To avoid multidimensional integration, system reliability estimation usually requires the calculation of marginal failure probability and joint failure probability. The current article proposed an integrated approach for estimating system reliability on the basis of the high moment method, saddle point approximation, and copulas. First, the statistic moment estimation based on the stochastic perturbation theory is presented. Thereafter, by constructing CGF (concise cumulant generating function) for the state variable with its first four statistical moments, a fourth moment saddle point approximation method is established for the component reliability estimation. Second, the copula theory is briefly introduced and extensively utilized two-dimensional copulas are presented. The best fit copula for estimating the probability of system failure is selected according to the AIC (Akaike Information Criterion). Finally, the derived method is applied to three numerical examples for the sake of a comprehensive validation. K E Y W O R D Scopulas, dependent failure modes, high moment, saddle point approximation, system reliability INTRODUCTIONAccurate evaluation of structure reliability is important in evaluating the safety of actual engineered product and structural system. Traditional structural reliability assessment is mainly focused on the deterministic or probabilistic analysis of individual failure modes. However, in the past decades, it has been increasingly recognized that system reliability analysis is a crucial problem in industrial engineering and general structural engineering. [1][2][3][4] In fact, the failure of engineering structures and mechanical parts is mainly caused by a variety of failure modes that have correlation characteristics. The complexity of considering correlated multi-failure mode with the same random variables exist simultaneously in each failure mode such as load, strength, and structural geometry. 5,6 On the basis of the relation among every different failure mode, structural system can be classified into series, parallel, and hybrid systems. 7 Series systems are also known as the weakest link systems because system failures are occurred if any one component is failure. Parallel systems frequently refer to redundant systems because system failure only depends on the failure of all components. Hybrid systems are composed of the above two systems. As the series system is the 2950

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Risk-based cost-benefit analysis for the retrofit of bridges exposed to extreme hydrologic events considering multiple failure modes

Cited by 32 publications

References 26 publications

Probabilistic Seismic Resilience-Based Cost–Benefit Analysis for Bridge Retrofit Assessment

Probabilistic Seismic Resilience-Based Cost–Benefit Analysis for Bridge Retrofit Assessment

Assessing flooding impact to riverine bridges: an integrated analysis

A system reliability estimation method by the fourth moment saddle point approximation and copula functions

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