UQLab User Manual – Structural Reliability (Rare Events Estimation)
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Theory
Introduction
Problem statement
Limit-state function
Failure Probability
Strategies for the estimation of Pf
First Order Reliability Method (FORM)
Second Order Reliability Method (SORM)
Monte Carlo Simulation
Importance Sampling
Subset Simulation
Adaptive Kriging Monte Carlo Simulation
Usage
Reference problem: R-S
Problem set-up
Reliability analysis with different methods
First Order Reliability Method (FORM)
Second Order Reliability Method (SORM)
Monte Carlo Sampling (MCS)
Importance Sampling
Subset Simulation
Adaptive Kriging Monte Carlo Sampling (AK-MCS)
Advanced limit-state function options
Specify failure threshold and failure criterion
Vector Output
Excluding parameters from the analysis
Reference List
Create a reliability analysis
Accessing the results
Monte Carlo
FORM and SORM
Importance sampling
Subset simulation
AK-MCS
Printing/Visualizing of the results
Printing the results: uq_print
Graphically display the results: uq_display
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