The encounter of interval and probabilistic approaches to structural reliability at the design point

DOI10.1016/j.cma.2012.03.020zbMath1253.74072OpenAlexW2003709679MaRDI QIDQ695876

Diego A. Alvarez, Jorge E. Hurtado

Publication date: 17 December 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2012.03.020

zbMATH Keywords

order statisticsinterval analysisstructural reliability\texttt{MATLAB}anti-optimizationworst case scenarioreliability plot

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Reliability, availability, maintenance, inspection in operations research (90B25) Fracture and damage (74R99) Compliance or weight optimization in solid mechanics (74P05)

Related Items (8)

A GRU-based ensemble learning method for time-variant uncertain structural response analysis ⋮ Reliability analysis of structures with interval uncertainties under stationary stochastic excitations ⋮ Hybrid reliability analysis of structures with multi-source uncertainties ⋮ A flexible polynomial expansion method for response analysis with random parameters ⋮ Interval fields to represent uncertainty on the output side of a static FE analysis ⋮ Evidence theory-based reliability optimization design using polynomial chaos expansion ⋮ Bounds optimization of model response moments: a twin-engine Bayesian active learning method ⋮ Hybrid uncertain static analysis with random and interval fields

Uses Software

• Matlab
• AK-MCS
• MASTAN

Cites Work

• On the geometry of similarity search: dimensionality curse and concentration of measure
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• Interval analysis of structures with uncertain-but-bounded axial stiffness
• Hybrid high dimensional model representation for reliability analysis
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• Structural reliability. Statistical learning perspectives.
• Probabilistic interval reliability of structural systems
• On the calculation of the bounds of probability of events using infinite random sets
• Structural optimization with uncertainties
• A Monte Carlo-based method for the estimation of lower and upper probabilities of events using infinite random sets of indexable type
• Structural reliability analysis of elastic-plastic structures using neural networks and Monte Carlo simulation
• Contrasting probabilistic and anti-optimization approaches in an applied mechanics problem.
• Comparison of dynamic responses of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach.
• Hybrid analysis of uncertainty: Probability, fuzziness and anti-optimization
• Reanalysis of linear and nonlinear structures using iterated Shanks transformation.
• Finite element interval analysis of external loads identified by displacement input with uncertainty
• Convex model and interval analysis method to predict the effect of uncertain-but-bounded parameters on the buckling of composite structures
• Introduction to Interval Analysis
• Enhanced high-dimensional model representation for reliability analysis
• A Topological Application of the Isoperimetric Inequality
• Structural reliability under combined random load sequences
• Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling
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