Effects of Damage and Redundancy on Structural Reliability

Frangopol, Dan M.; Curley, James P.

doi:10.1061/(asce)0733-9445(1987)113:7(1533)

Cited by 264 publications

(116 citation statements)

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“…The redundancy indicator, β r , introduced by Frangopol and Curley (1987), is used to compare the robustness of the three buildings. The reliability indexes obtained by considering only the mainshock are very similar across structures, showing that the applied design procedure is consistent.…”

Section: Results Of Robustness Assessmentmentioning

confidence: 99%

“…Step 6, the robustness assessment is performed based on a comparison of the reliability index ½β ¼ −Φ −1 ðp f Þ of the undamaged structure β intact , which only accounts for the mainshock, with the reliability index of the mainshock-damaged structure β damaged as follows (Frangopol and Curley 1987):…”

Section: Frameworkmentioning

confidence: 99%

“…Finally, in the last approach, measures of structural robustness are defined as a function of the probabilities of failure of the intact and damaged structure. Examples of such measures are the indexes presented by Frangopol and Curley (1987) and Lind (1995). As discussed in the work of Starossek and Haberland (2008), both of these measures evaluate structural redundancy rather than robustness.…”

Section: Introductionmentioning

confidence: 99%

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Application of Reliability-Based Robustness Assessment of Steel Moment Resisting Frame Structures under Post-Mainshock Cascading Events

2014

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This paper proposes a reliability-based framework for quantifying structural robustness considering the occurrence of a major earthquake (mainshock) and subsequent cascading hazard events, such as aftershocks that are triggered by the mainshock. These events can significantly increase the probability of failure of buildings, especially for structures that are damaged during the mainshock. The application of the proposed framework is exemplified through three numerical case studies. The case studies correspond to three SAC steel moment frame buildings of three, nine, and 20 stories, which were designed to pre-Northridge codes and standards. Two-dimensional nonlinear finiteelement models of the buildings are developed with the Open System for Earthquake Engineering Simulation framework (OpenSees), using a finite length plastic hinge beam model and a bilinear constitutive law with deterioration, and are subjected to multiple mainshock-aftershock seismic sequences. For the three buildings analyzed herein, it is shown that the structural reliability under a single seismic event can be significantly different from that under a sequence of seismic events. The reliability based robustness indicator shows that the structural robustness is influenced by the extent to which a structure can distribute damage.

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Section: Results Of Robustness Assessmentmentioning

confidence: 99%

Section: Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Application of Reliability-Based Robustness Assessment of Steel Moment Resisting Frame Structures under Post-Mainshock Cascading Events

2014

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“…Robustness first received attention due to devastating consequences resulting from extreme events on structures (Frangopol and Curley, 1987;Lind, 1995;Ghosn and Moses, 1998;Baker et al, 2008). Robustness was related to the ability of the structure to sustain damage with limited consequences.…”

Section: Structural Robustness and Deteriorationmentioning

confidence: 99%

On the robustness to corrosion in the life cycle assessment of an existing reinforced concrete bridge

Cavaco

Neves

Casas

2017

Structure and Infrastructure Engineering

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Management of existing structures has traditionally been based on condition assessment, based on visual inspections, disregarding the susceptibility of different structural types to aging and deterioration. Robustness, as a measure of the effects of unpredictable damage to structural safety can be a complementary information to the results of inspection. Although robustness has mostly been used to evaluate the consequences of extreme events, a similar framework can be used to investigate the result of aging, allowing a better understanding of the potential effects of deterioration and allowing a better allocation of available maintenance funding. In this work, a probabilistic structural robustness indicator is used to quantify the susceptibility of structures to corrosion. The methodology is exemplified through a case-study comprising an existing reinforced concrete bridge deck, heav- * Corresponding author Email address: joan.ramon.casas@upc.edu (Joan R. Casas)Preprint submitted to Structure and Infrastructure Engineering December 29, 2016 ily damaged due to reinforcement corrosion, and finally demolished due to safety concerns. Robustness measures the bridge deck safety tolerance to reinforcement corrosion. The principal effects of corrosion, including loss of area and bond between concrete and steel are modelled using a non-linear finite element model, coupled with a Response Surface Method to compute the bridge reliability as a function of the corrosion level, and finally used to assess robustness. Results show that the redundancy of the bridge allow significant redistribution of loads between elements with different corrosion levels. As a result, the bridge presents significant robustness and tolerance to reinforcement corrosion.

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“…Therefore, the idea is to quantify the capability of the 10 investigated structure to withstand events or combination of events, whose intensity exceed the 11 design threshold, that is posed by structural guidelines and codes. 12 …”

Section: Introductionmentioning

confidence: 99%

Defining structural robustness under seismic and simultaneous actions: an application to precast RC buildings

Asprone

Risi

Manfredi

2015

Bull Earthquake Eng

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9The increasing complexity of urban systems is making robustness a crucial requirement for 10 structural design. The paper deals with the concept of robustness of civil structures against extreme 11 events. After a brief literature survey, a novel point of view to robustness assessment is proposed, 12fitting the most accepted robustness definition. The proposed approach is discussed and compared 13 with other methodologies for quantifying structural robustness. Thus, the methodology is 14 developed and applied to an existing precast industrial building case study, assumed to be prone to 15 seismic and wind hazards. In particular, the case study is assumed to be located in Emilia, Italy, 16 where a significant earthquake occurred in 2012, causing relevant damage to gravity load designed 17 industrial buildings. Three structural options are discussed, namely a simple supported beam-18 column connection (gravity load designed solution) and two pinned connections (seismic designed 19 solution), where only one of them satisfies the current structural code requirements. The results are 20 discussed in terms of robustness quantification, by means of a robustness matrix. The authors 21 envisage that this approach can be effectively adopted for portfolios of existing structures, to 22 prioritize retrofitting interventions, aimed at maximizing the overall risk mitigation with limited 23 economic resources. 24

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Effects of Damage and Redundancy on Structural Reliability

Cited by 264 publications

References 5 publications

Application of Reliability-Based Robustness Assessment of Steel Moment Resisting Frame Structures under Post-Mainshock Cascading Events

Application of Reliability-Based Robustness Assessment of Steel Moment Resisting Frame Structures under Post-Mainshock Cascading Events

On the robustness to corrosion in the life cycle assessment of an existing reinforced concrete bridge

Defining structural robustness under seismic and simultaneous actions: an application to precast RC buildings

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