Structural reliability analysis using non-probabilistic convex model

DOI10.1016/j.cma.2012.10.020zbMath1297.74091OpenAlexW2042834245MaRDI QIDQ465718

J. Herrera, D. Rodríguez-Gómez

Publication date: 24 October 2014

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.2012.10.020

zbMATH Keywords

Monte Carlo simulationsystem reliabilitynon-probabilistic uncertaintystructural reliabilityconvex model

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Reliability, availability, maintenance, inspection in operations research (90B25) Optimization of other properties in solid mechanics (74P10)

Related Items (51)

A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers ⋮ An efficient multi-objective reliability-based design optimization method for structure based on probability and interval hybrid model ⋮ Non-probabilistic reliability method and reliability-based optimal LQR design for vibration control of structures with uncertain-but-bounded parameters ⋮ A hybrid sequential approximate programming method for second-order reliability-based design optimization approach ⋮ A Monte Carlo simulation method for non-random vibration analysis ⋮ Some significant improvements for interval process model and non-random vibration analysis method ⋮ Reliability analysis of structures with interval uncertainties under stationary stochastic excitations ⋮ Novel probabilistic model for searching most probable point in structural reliability analysis ⋮ A general assessment index for non-probabilistic reliability of structures with bounded field and parametric uncertainties ⋮ Robust reliability method and reliability‐based performance optimization for non‐fragile robust control design of dynamic system with bounded parametric uncertainties ⋮ Hybrid reliability-based sequential optimization for PID vibratory controller design considering interval and fuzzy mixed uncertainties ⋮ Fault tree interval analysis of complex systems based on universal grey operation ⋮ A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty ⋮ Unified reliability-based design optimization with probabilistic, uncertain-but-bounded and fuzzy variables ⋮ Hybrid reliability analysis of structures with multi-source uncertainties ⋮ A new formulation on seismic risk assessment for reinforced concrete structures with both random and bounded uncertainties ⋮ A non-probabilistic uncertainty analysis method based on ellipsoid possibility model and its applications in multi-field coupling systems ⋮ Comparison of the reliability-based and safety factor methods for structural design ⋮ Volumetric uncertainty bounds and optimal configurations for converging beam triple LIDAR ⋮ New target performance approach for a super parametric convex model of non-probabilistic reliability-based design optimization ⋮ An improved method for fuzzy-interval uncertainty analysis and its application in brake instability study ⋮ A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables ⋮ A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities ⋮ Non-probabilistic uncertainty quantification and response analysis of structures with a bounded field model ⋮ A dynamic evolution scheme for structures with interval uncertainties by using bidirectional sequential Kriging method ⋮ Spectral stochastic isogeometric analysis of free vibration ⋮ Spectral stochastic isogeometric analysis for linear stability analysis of plate ⋮ A novel method for non-probabilistic convex modelling based on data from practical engineering ⋮ Uncertainty-oriented topology optimization of interval parametric structures with local stress and displacement reliability constraints ⋮ An improved Bayesian collocation method for steady-state response analysis of structural dynamic systems with large interval uncertainties ⋮ Reliability evaluation of bridges based on nonprobabilistic response surface limit method ⋮ Probability and convex set hybrid reliability analysis based on active learning kriging model ⋮ Safety margin analysis of buckling for structures with unknown but bounded uncertainties ⋮ Robust assessment of collapse resistance of structures under uncertain loads based on info-gap model ⋮ Super parametric convex model and its application for non-probabilistic reliability-based design optimization ⋮ Discussions on non-probabilistic convex modelling for uncertain problems ⋮ A novel seismic risk analysis method for structures with both random and convex set mixed variables: case study of a RC bridge ⋮ Non-Probabilistic Reliability Bounds for Series Structural Systems ⋮ A new measurement for structural uncertainty propagation based on pseudo-probability distribution ⋮ Time response of structure with interval and random parameters using a new hybrid uncertain analysis method ⋮ Hybrid uncertain static analysis with random and interval fields ⋮ A novel non-probabilistic reliability-based design optimization algorithm using enhanced chaos control method ⋮ An efficient adaptive-loop method for non-probabilistic reliability-based design optimization ⋮ Hybrid uncertain natural frequency analysis for structures with random and interval fields ⋮ Robust topology optimization under multiple independent unknown-but-bounded loads ⋮ A new method for reliability analysis of structures with mixed random and convex variables ⋮ Spectral stochastic isogeometric analysis of linear elasticity ⋮ A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters ⋮ Importance measure analysis of design variables and uncertain parameters in multidisciplinary systems ⋮ Hybrid reliability analysis with both random and probability-box variables ⋮ Non-probabilistic robust reliability method and reliability-based performance optimization for active vibration control of structures and dynamic systems with bounded uncertain parameters

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic approximations for probability integrals
• Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model
• Probability and convexity concepts are not antagonistic
• Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique
• Confidence structural robust design and optimization under stiffness and load uncertainties
• Probabilistic interval reliability of structural systems
• Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval
• Stability of elastic bars on uncertain foundations using a convex model
• Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis
• A semi-analytic method for calculating non-probabilistic reliability index based on interval models
• Structural reliability under combined random load sequences

This page was built for publication: Structural reliability analysis using non-probabilistic convex model