Prof. Gautam Dasgupta Columbia University Smart Structures Technologies and Earthquake Engineering...
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Transcript of Prof. Gautam Dasgupta Columbia University Smart Structures Technologies and Earthquake Engineering...
Prof. Gautam DasguptaColumbia University
Smart Structures Technologies and Earthquake Engineering
ACADEMIC (Site Session and General Session)Title: LiveDesign Paradigm for Intelligent Civil
InfrastructurePresentation by: Gautam Dasgupta, Professor, Civil
Engineering620 Seeley W. Mudd, 500 West 120 Street
Columbia University, New York, NY 10027, USATel:212-854-3102;fax:212-854-6267;
email:[email protected]: Bayesian updating, extreme value statistics, security and sensors
Prof. Gautam DasguptaColumbia University
Live Design
Conventional construction practices are governed by:
1. mechanical stress
2. cost considerations
3. not geared towards mitigating imminent threats
4. not by breach of security
Prof. Gautam DasguptaColumbia University
Live Design
Information Technology (IT) has empowered engineers
to develop LiveDesign prototypes that
I) alert civic authorities confronted with manmade disasters
II) suggest optimal evacuation/rescue along the most favorable routes
Prof. Gautam DasguptaColumbia University
Live Design
IT-based decision process
1. High-speed
2. large-scale
3. distributed statistical computation
Bayesian updating is almost instantaneous
Hence the paradigm is termed LiveDesign.
Prof. Gautam DasguptaColumbia University
1. Background work from 2001
(a) engineers
(b) architects
(c) computer scientists
(d) lawyers
2. LiveDesign core methodology
3. Randomly selected office building models
4. Seamless information augmentation → open environment
5. Nonrestrictive extension for all civil infrastructures
(a) watersheds
(b) energy systems
6. Versatility of LiveDesign
Prof. Gautam DasguptaColumbia University
Three principal parts to this research
1. Data acquisition
2. Statistical combination of those indicators
to construct threat scenarios
3. Virtual reality-based smart signs of
optimal paths in
evacuation and
rescue
are displayed
Prof. Gautam DasguptaColumbia University
Data acquisition combines:
1. Available structural stress analysis
and response history
2. Building codes
3. Legal requirements
4. On-line sensor readings
Prof. Gautam DasguptaColumbia University
Threat scenarios constructed by
statistical combination:
1. Principal component analysis
assesses the most fatal state
2. Interval arithmetic depicts
confidence bounds
3. fuzzy logic constructs
spatio-temporal threat patterns
Prof. Gautam DasguptaColumbia University
Functions of the IT engines
1. carry out dynamic searches on the LiveDesign database
2. signal fatal events from extreme value statistics
3. check tight bounds on the confidence interval to predict credible threats
4. sort out anomalies such as noise and spreads on the confidence bounds
5. continuously fine-tune a self-learning process
6. eliminate false alarms as statistical outliers
7. discover yet to be identified ominous impending events
Prof. Gautam DasguptaColumbia University
Bayesian Network1. Security costs depend nonlinearly on the associated payoff
2. All indices can be assessed only in the probabilistic sense
3. Bayesian network is an elegant representation:(a) operates on joint probabilities(b) uses graphical communication language(c) is based on the semantics of causality
4. Modeling procedure is symbolic has been partially written in Mathematica5. Current research contains Modelica:— graph theory constructs implement qualitative features
Prof. Gautam DasguptaColumbia University
Elements of the network
1. The network formulation starts with elementary subsystems
2. Modelica can create complex systems using the formal specifications of
the links in the LiveDesign database
3. Benchmark examples have been verified using Mathematica:
Prof. Gautam DasguptaColumbia University
Large number of variables
1. Eigenvalues with Interval Arithmetic
— principal component analysis
2. Yield the threat index from a composite scenario
3. An order of a thousand statistical security variables
4. The generic form:
integral equations
yields the fixed point scheme with the kernel .
This has already been conveniently programmed in Mathematica.
∫= ηηη dyfyxfyxf )|(),|()|(
∫= ηηη dyfxfyxf )|()|()|(
∫ ∫== dxxfxyfyfdyyfyxfxf )()|()(;)()|()(
∫= ')'()',()( dxxfxxhxf
∫= dyxyfyxfxxh )'|()|()',(
Prof. Gautam DasguptaColumbia University
Extreme Value Statistics
Table 1: Three forms of distributions of extremes
Prof. Gautam DasguptaColumbia University
Chemistry experiments to bridge theory and reality based learning and provide the bases for bio-sensors:
1. There may be more than a single answer to a question or problem
2. Several outcomes may be possible with a varying degree of predictability
3. The fuzzy logic concepts resolve such issues
Prof. Gautam DasguptaColumbia University
Live Design deep domain modeling formalism
1. Architects create the LiveBluePrint2. A collection of its various parts, and then assembled.3. Modern buildings are more complicated:
(a) there are additional subsystems(b) such as power, water, elevators(c) and above all a security infrastructure
Prof. Gautam DasguptaColumbia University
Intelligent Infrastructure
1. Smart structures respond to their surroundings
(a) Safety
(b) Thermo-mechanical inputs
2. Intelligent infrastructures
(a) Security
(b) Safety concerns as subsets
(c) Societal policy inputs
3. Information based technology
(a) Integration of quantitative and qualitative data
(b) Computer understandable communications
Prof. Gautam DasguptaColumbia University
The Team
1. Universities(a) Columbia University(b) MIT(c) Carnegie Mellon University(d) University of Maine
2. Industries(a) OKG Constructions, NYC(b) Contour Graphics Architects, NYC(c) Serby Attorneys, NYC
3. Foreign collaborators(a) Kagawa University, Japan(b) Laboratoire d’Optique, Besancon, France