risk analysis of bridges using a new reliability-based robustness...
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ANALYSIS AND MITIGATION OF RISKS IN INFRASTRUCTURES | INFRARISK-
Hugo Guimarães Supervisors: José Matos, Dan Frangopol and Abel Henriques
Summer Workshop
Risk analysis of bridges using a new reliability-based robustness
assessment methodology
Thesis Plan
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2Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
• Motivation
• Robustness of structures
• Literature Review
• Research Objectives
• Research Plan
• Current Status
Outline
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3Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Motivation
Competitive economy
… Role of transport infrastructures systems
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4Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Motivation
… Road infrastructure investments
have steadily increased in the last years
0
1 000
2 000
3 000
4 000
5 000
0
50 000
100 000
150 000
200 000
250 000
Po
rtu
gal
OEC
D
Investment [Million Euro]
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5Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Motivation
… Focusing on bridges
Significant national investment
Impact on road infrastructure resilience during disasters
Strategic importance
Limited available funds
Lifespan of existing structures
Deterioration processes
Asset importanceChallenging issues
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Motivation
6
… Learning from past bridges failures
118
200
163
301
135
3017
71
207
0%
5%
10%
15%
20%
25%
30%
Causes of 1062 total bridge failures, US Survey (1980-2012) [Lee et al.(2013)]
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7Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Component level analysis
Consequences of deferring
maintenance
Global performance analysis
Compare decision
alternatives
Motivation
Decò and Frangopol (2011)Zhu and Frangopol (2012)
… Need for rational decisions in bridge management
Risk-informed decision making• Risk-ranking decisions• Acceptable risk criteria
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Robustness of structures
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Concept of robustness
9
… from the structural perspective
The consequences of structural failure should not bedisproportional to the effect causing the failure
Damage tolerance
Exposure
Redundancy
Ductility
Reliability
Risk
Consequences
Vulnerability
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Robustness and modern codes
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… Major gaps in code-based structural design
Structural component-centric design philosophy
Inexplicit approaches to achieve adequate robustness
Dependency between failure modes is ignored
COST TU0601
Revised ISO 2394
Narasimhan (2012)
(2011) (2015)
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Literature Review
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Robustness assessment
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… Quantitative approaches
• Deterministic index based on structural measures
• Probabilistic index based on probabilities of failure
• Risk-based index based on risk analysis
… Exposure scenarios
• Performance evaluation of a given scenario
• Reliability or risk under multi hazards
Complexity
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Robustness assessment
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… Proposed measures
Frangopol and Curley (1987)
Fu and Frangopol(1990)
Lind (1995)Ghosn and
Moses (1998)ISO (2007) Starossek (2008)
Baker et al. (2008)
Biondini and Restelli (2008)
Cavaco (2013)
Nature Probabilistic Probabilistic Probabilistic Deterministic Deterministic Risk-based Deterministic Det. or Prob.
AtributeRedundancy
ReliabilityVulnerability
Damage ToleranceRedundancy
Performance indicator
Stiffness-basedDamage-basedEnergy released
Robustness index
Performanceindicator
Performance indicator
Range[0,∞][0,∞]
[1,α][α-1,1]
Target Reliabilitiesverification
[0,1]-
[0,1]-
[0,1] [0,1] [0,1]
ScenarioDamaged vs
IntactDamaged vs
IntactLimit states
Damaged vs Intact
Damaged vs Intact
Multi hazardDamaged vs
IntactSpectrum of
Damage States
Increasing robustness
Most complete measure
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Risk-based robustness
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… JCSS Risk Management Framework, JCSS (2008)
System representation
Vulnerability
Robustness
Hazards
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Risk-based robustness
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… JCSS Risk Management Framework
Consistent treatment of uncertainty
Structural Reliability Theory
System Effects analysis
Bayesian Updating
Bayesian Probabilistic Nets
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Risk-based robustness
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… Event trees
Exposure
Damage
State
No Damage0
Direct
Consequences
No
Failure
FailureDirect
and Indirect
Consequences
dxdyxfxyfCR EED
x y
dirdir )()|(|
dxdyxfxyfyDFPCR EED
x y
indind )()|()|( | Indirect Risks
Direct Risksinddir
dirrob
RR
RI
Robustness Index
Baker et al. (2008)
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Research Objectives
17
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Research Focus
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NonlinearFEA
Advanced StructuralReliabilityAnalysis
Robustness Assessment
Risk-informed decision making
System performanceunder extreme events
Post failure behaviour Interactions between failure modes Follow up consequences
Time dependentrobustness
Time dependency• Loads• Deterioration
Model Updating• Experimental Data
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Research Questions
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Which are the most critical hazards involving
robustness quantification?
How to realistically model the system behavior
under hazardous events while considering
uncertainty?
How to achieve a time-dependent
performance indicator?
How can the two levels of performance evaluation
be integrated in a risk assessment methodology?
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
1. Risk assessment
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• Objective
– Qualitative and quantitative assessment of risks to the system
• Main topics
– Identification of hazards which induce damage to the system and
failure events
– Probabilistic modelling of exposure conditions according to their
nature and effects
– Perform vulnerability analysis to assess damage tolerance at
element level
– Consequences analysis – event trees using Bayesian networks
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
2. Probabilistic assessment of system performance
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• Objective
– Probabilistic-based methods to assess post-damage behaviour
• Main topics
– Probabilistic models of materials properties and geometry
– Realistic bridge acting loads
– Modelling damage scenarios
– Nonlinear FE models to assess structural performance
– Extension of advanced structural reliability techniques
– Benchmarking different techniques to improve the efficiency
of the probabilistic analysis
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
3. Time variant robustness
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• Objective
– Lifetime structural performance indicator
• Main topics
– Stochastic modelling of degradation and life loads
– Time dependent consequences
– Value of new Information
– Bayesian Updating – reduced uncertainty
– Risk-based performance indicator to support decisions on
interventions
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
4. Case Studies
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• Objective
– Integration and application of the developed methodologies
– Analysis of different bridge typologies to compare risks and
robustness indices
– Definition of acceptable perfomance levels and assessment
of life-cycle costs
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
5. Robustness assessment methodology
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• Objective
– Development of a reliability-based robustness assessment
methodology with the aim of contributing to the new generation of
risk-based bridge management system
– Risk treatment and communication
• Acceptable risk
• Vulnerability reduction
• Risk mitigation and preparedness policies
– Improve the quality of decisions on interventions
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Research Plan
25
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Research Plan
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
T0 Doctoral research training and complementary
education
T1 Literature review
T2 Risk assessment: hazard identification and
assessment
T3 Probabilistic-based methods for anaylsing
progressive collapse and structural robustness
T4 Time dependent reliability-based perfomance
indicators
T5 Case studies analysis
T6 Development of a reliability-based robustness
assessment framework
T7 Thesis writing
℗ ℗ ℗Pappers Submission
Task
Task Denomination
1st Year 2nd Year 3rd Year 4th Year
2014 2015 2016 2017
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Study period abroad
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• STSM within the scope of COST TU1406 ''BridgeSpec'‘
– WG1 - Performance indicators for road bridges
– Robustness assessment
– Prof. Alfred Strauss (BOKU University, Austria)
• Lehigh University, USA
– Prof. Dan M. Frangopol
– Robustness indicator during the life-cycle
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Current Status
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Framework for Structural reliability analysis :
probabilistic non-linear analysis of RC structures
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Matlab algorithm to perform structural reliability analysis coupling a FE code
FE code ‘Plastd90’ : model constructional phases and non-linearity of steel and concrete properties and also the time-dependency of material properties
FERUM (Finite Element Reliability Using Matlab): open-source routines to apply structure reliability techniques.
Developed methodologies: incremental MCS simulation and adaptive RSM approach
Combining the MCS with RSM – simulation in the Region of interest
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Monte Carlo Method Approach
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1. Stochastic simulation – random basic variables and dependent variables
Literature probabilistic models for loads and resistance. Probabilistic Model Code (JCSS,2001)
Random field characterization – spatial variability.
2. Structural analysis
Nonlinear analysis of the structural performance.
3. Statistical analysis
Distribution fitting analysis
Expected value and variance
Linear regression model using stepwise regression
Quality examination of the fitted model – residuals analysis, diagnostic plots, …
Explicit limit state funtion
4. Structural reliability analysis
Application of FORM for the obtained limit state function
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Monte Carlo Method Approach
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Stochastic simulation
Structural Analysis
Statistical Analysis
Reliability analysis
Convergence?
additionalsamples
no
yes
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
Response Surface Methodology Approach
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1. Stochastic simulation, sensitivity analysis and screening procedures
Global sensitivity methods – sensitivity coefficients
Reduction of input random variables
2. Choice of initial Experimental Design
Latin Hypercube sampling with chosen spread, ±𝒌𝝈
3. Curve-fitting – RS according to a wise selection of terms
Redution of predition error estimate using a stepwise regression linear model
RS for each selection criteria SSE, AIC, BIC and 𝑹𝒂𝒅𝒋𝟐
4. Reliability techniques to find the design point
5. New sampling points around the design point
Enriched ED by adding points with a smaller spread
6. Repeat the adaptive procedure until convergence criterion is satisfied
Relative error regarding the reliability index
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
References
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• J. W. Baker, M. Schubert, and M. H. Faber. On the assessment of robustness. Structural Safety,
30:253–267, 2008.
• F. Biondini and S. Restelli. Damage propagation and structural robustness. In Proceedings of
the International Symposium on Life-Cycle Civil Engineering, number 1, pages 131–136, 2008.
• E. Cavaco. Robustness of correded bridges. PhD thesis, Universidade NOVA, 2013.
• Decò and D. M. Frangopol. Risk assessment of highway bridges under multiple hazards. Journal of
Risk Research, 14(September):1057–1089, 2011.
• G. Fu and D. M. Frangopol. Balancing weight, system reliability and redundancy in a multiobjective
optimization framework. Structural Safety, 7(2–4):165–175, 1990.
• M. Ghosn and F. Moses. Redundancy in Highway Bridge Superstructures - NCHRP Report 406.
Transportation Research Board, Washington D.C., 1998.
• ISO. ISO19902:Petroleum and natural gas industries-Fixed steel offshore structures. International
Organization for Standardization, 2007.
• JCSS. Risk Assessment in Engineering-Principles, System Representation & Risk Criteria. Joint
Committee on Structural Safety, 2008.
• G. C. Lee, S. B. Mohan, C. Huang, and B.N. Fard. A Study of U.S . Bridge Failures (1980-2012).
Technical report, University of Buffalo - MCEER, 2013.
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Hugo Guimarães / Risk analysis of bridges using a new reliability-based robustness assessment methodology
References
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• H. Narasimhan. Assessment and determination of robustness of structures. PhD thesis, ETH
Zurich, 2012.
• F. Biondini and S. Restelli. Damage propagation and structural robustness. In Proceedings of
the International Symposium on Life-Cycle Civil Engineering, number 1, pages 131–136, 2008.
• U. Starossek and M. Haberland. Approaches to measures of structural robustness. Structure and
• Infrastructure Engineering, 7:625–631, 2011.