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A single-loop optimization method for reliability analysis with second order uncertainty
16 references·6 citing·40 second hop
A single-loop optimization method for reliability analysis with second order uncertainty (2014)A single-loop optimization method for rel…Likelihood-based representation of epistemic uncertainty due to sparse point data and/or interval data (2011)Likelihood-based representati…Structural reliability assessment based on probability and convex set mixed model (2009)Structural reliability assess…Unified Uncertainty Analysis by the First Order Reliability Method (2008)Unified Uncertainty Analysis …Probabilistic interval reliability of structural systems (2008)Probabilistic interval reliab…A single-loop method for reliability-based design optimisation (2007)A single-loop method for reli…Reliability-Based Design With the Mixture of Random and Interval Variables (2005)Reliability-Based Design With…A Design Optimization Method Using Evidence Theory (2005)A Design Optimization Method …A Design Optimization Method Using Evidence Theory (2005)A Design Optimization Method …Reliability-based design optimization for crashworthiness of vehicle side impact (2004)Reliability-based design opti…Uncertainty-Based Information (1999)Uncertainty-Based InformationUncertainty-Based Information: Elements of Generalized Information Theory (1998)Uncertainty-Based Information…Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty (1997)Uncertainty and sensitivity a…Structural Reliability Methods (1996)Structural Reliability MethodsReliability-based optimization in structural engineering (1994)Reliability-based optimizatio…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …Measures of Structural Safety Under Imperfect States of Knowledge (1989)Measures of Structural Safety…Third moment method for reliability analysis with uncertain moments characterized as interval variables (2024)Third moment method for relia…A novel probabilistic feasible region method for reliability-based design optimization with varying standard deviation (2023)A novel probabilistic feasibl…Interval uncertain optimization for interior ballistics based on Chebyshev surrogate model and affine arithmetic (2020)Interval uncertain optimizati…A New SORM Method for Structural Reliability with Hybrid Uncertain Variables (2020)A New SORM Method for Structu…Reliability-Based Design Optimization for Design Problems with Random Fuzzy and Interval Uncertainties (2019)Reliability-Based Design Opti…A general framework for fatigue reliability analysis of a high temperature component (2018)A general framework for fatig…Exact and Invariant Second-Moment Code Format (1974)Probability Concepts in Engineering Planning and Design (1975)Structural Reliability under Incomplete Probability Information (1986)On computation methods for structural reliability analysis (1990)Multi-attribute utility analysis in set-based conceptual design (2008)Separating the contributions of variability and parameter uncertainty in probability distributions (2012)Structural reliability under combined random load sequences (1978)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Reliability sensitivity analysis with random and interval variables (2009)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)A novel hybrid adaptive Kriging and water cycle algorithm for reliability-based design and optimization strategy: Application in offshore wind turbine monopile (2023)Applied Statistical Decision Theory (1962)Probability, statistics, and decision for civil engineers (1970)Computational methods in optimization considering uncertainties – An overview (2008)Benchmark study of numerical methods for reliability-based design optimization (2009)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Empirical Model Building and Response Surfaces (1988)Response Surface Methodology (1996)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)Calibration, validation, and sensitivity analysis: What's what (2006)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Adaptive probability analysis using an enhanced hybrid mean value method (2004)Enriched Performance Measure Approach for Reliability-Based Design Optimization. (2005)Efficient surrogate models for reliability analysis of systems with multiple failure modes (2011)Time-dependent reliability analysis with joint upcrossing rates (2013)Structural Reliability Analysis and Prediction (2017)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Risks and decisions for conservation and environmental management (2005)Conjunctive and disjunctive combination of belief functions induced by nondistinct bodies of evidence (2007)Deng entropy (2016)Global sensitivity analysis using polynomial chaos expansions (2007)Aleatory or epistemic? Does it matter? (2008)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Measuring ambiguity in the evidence theory (2006)Distances in evidence theory: Comprehensive survey and generalizations (2011)Uncertainty measure in evidence theory (2020)
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References

  • 1996Structural Reliability Methods2,192 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1994Reliability-based optimization in structural engineering550 cited
  • 1998Uncertainty-Based Information: Elements of Generalized Information Theory492 cited
  • 1999Uncertainty-Based Information487 cited
  • 1997Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty369 cited
  • 2004Reliability-based design optimization for crashworthiness of vehicle side impact369 cited
  • 2008Unified Uncertainty Analysis by the First Order Reliability Method249 cited
  • 2005Reliability-Based Design With the Mixture of Random and Interval Variables247 cited
  • 1989Measures of Structural Safety Under Imperfect States of Knowledge181 cited
  • 2009Structural reliability assessment based on probability and convex set mixed model170 cited
  • 2007A single-loop method for reliability-based design optimisation160 cited
  • 2011Likelihood-based representation of epistemic uncertainty due to sparse point data and/or interval data156 cited
  • 2008Probabilistic interval reliability of structural systems149 cited
  • 2005A Design Optimization Method Using Evidence Theory

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149 cited
  • 2005A Design Optimization Method Using Evidence Theory148 cited
  • Cited by

    • 2020A New SORM Method for Structural Reliability with Hybrid Uncertain Variables14 cited
    • 2024Third moment method for reliability analysis with uncertain moments characterized as interval variables12 cited
    • 2018A general framework for fatigue reliability analysis of a high temperature component12 cited
    • 2020Interval uncertain optimization for interior ballistics based on Chebyshev surrogate model and affine arithmetic12 cited
    • 2019Reliability-Based Design Optimization for Design Problems with Random Fuzzy and Interval Uncertainties11 cited
    • 2023A novel probabilistic feasible region method for reliability-based design optimization with varying standard deviation10 cited