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Confidence bounds on component reliability in the presence of mixed uncertain variables
7 references·15 citing·48 second hop
Confidence bounds on component reliability in the presence of mixed uncertain variables (2007)Confidence bounds on component reliabilit…Safety assessment of structures in view of fuzzy randomness (2003)Safety assessment of structur…Adaptation of fast Fourier transformations to estimate structural failure probability (2003)Adaptation of fast Fourier tr…Higher-order failure probability calculation using nonlinear approximations (1999)Higher-order failure probabil…Probability analysis method using Fast Fourier transform and its application (1997)Probability analysis method u…Safety index calculation using intervening variables for structural reliability analysis (1996)Safety index calculation usin…Refined second-order reliability analysis (1994)Refined second-order reliabil…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Time-dependent reliability analysis for mechanisms considering the nonlinear contact behavior in joint clearances (2025)Time-dependent reliability an…A novel safety measure with random and fuzzy variables and its solution by combining Kriging with truncated candidate region (2022)A novel safety measure with r…A novel mixed uncertainty support vector machine method for structural reliability analysis (2021)A novel mixed uncertainty sup…A new structural reliability index based on uncertainty theory (2017)A new structural reliability …Improved Reliability-Based Optimization with Support Vector Machines and Its Application in Aircraft Wing Design (2015)Improved Reliability-Based Op…Efficient Assessment of Structural Reliability in Presence of Random and Fuzzy Uncertainties (2014)Efficient Assessment of Struc…The uncertainty importance measures of the structural system in view of mixed uncertain variables (2013)The uncertainty importance me…Multicut‐High Dimensional Model Representation for Structural Reliability Bounds Estimation Under Mixed Uncertainties (2012)Multicut‐High Dimensional Mod…Inverse structural reliability analysis under mixed uncertainties using high dimensional model representation and fast Fourier transform (2012)Inverse structural reliabilit…Confidence Bounds on Design Variables Using High-Dimensional Model Representation–Based Inverse Reliability Analysis (2012)Confidence Bounds on Design V…An entropy-based global sensitivity analysis for the structures with both fuzzy variables and random variables (2012)An entropy-based global sensi…Explicit fuzzy analysis of systems with imprecise properties (2011)Explicit fuzzy analysis of sy…Efficient explicit formulation for practical fuzzy structural analysis (2011)Efficient explicit formulatio…Saddlepoint approximation based line sampling method for uncertainty propagation in fuzzy and random reliability analysis (2010)Saddlepoint approximation bas…Reliability study of fracture mechanics based non‐probabilistic interval analysis model (2010)Reliability study of fracture…Structural Reliability Methods (1996)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Assessment of polynomial correlated function expansion for high-fidelity structural reliability analysis (2015)Modelling uncertainty in incompressible flow simulation using Galerkin based generalized ANOVA (2016)Graph-Theoretic-Approach-Assisted Gaussian Process for Nonlinear Stochastic Dynamic Analysis under Generalized Loading (2019)Convex Models of Uncertainty in Applied Mechanics (1990)Fuzzy Set Theory and Its Applications (1993)Methods of structural safety (2006)Literature review of methods for representing uncertainty (2013)Reliability Assessment with Fuzzy Random Variables Using Interval Monte Carlo Simulation (2013)A fuzzy reliability approach for structures based on the probability perspective (2015)Exact and Invariant Second-Moment Code Format (1974)Non-Normal Dependent Vectors in Structural Safety (1981)Decomposition methods for structural reliability analysis (2005)A single-loop method for reliability-based design optimisation (2007)Evaluation of failure probability via surrogate models (2010)Probability, statistics, and decision for civil engineers (1970)Probabilistic Theory of Structural Dynamics (1976)Gradient projection for reliability-based design optimization using evidence theory (2008)System reliability analysis for mixed uncertain variables (2009)Post optimization for accurate and efficient reliability‐based design optimization using second‐order reliability method based on importance sampling and its stochastic sensitivity analysis (2015)A new look at the response surface approach for reliability analysis (1993)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)Simulation and the Monte Carlo Method (1981)Probabilistic models of combinations of stochastic loads for limit state design (2002)Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform (2008)Simulation and the Monte Carlo Method (2016)Structural Reliability Analysis and Prediction (2017)A New Study on Reliability-Based Design Optimization (1999)Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Global response sensitivity analysis of uncertain structures (2015)Structural analysis with alternative uncertainty models: From data to safety measures (2016)A Review of Uncertainty-Based Multidisciplinary Design Optimization Methods Based on Intelligent Strategies (2023)Second‐Order Reliability Approximations (1987)Bounds on structural system reliability in the presence of interval variables (2007)First order control variates algorithm for reliability analysis of engineering structures (2019)Probability Concepts in Engineering Planning and Design (1975)Bayesian reliability-based design optimization using eigenvector dimension reduction (EDR) method (2007)A double-loop adaptive sampling approach for sensitivity-free dynamic reliability analysis (2015)Chaotic conjugate stability transformation method for structural reliability analysis (2016)Reliability analysis—a review and some perspectives (2001)Aleatory or epistemic? Does it matter? (2008)A new method of level-2 uncertainty analysis in risk assessment based on uncertainty theory (2018)Reliability analysis of structures based on a probability‐uncertainty hybrid model (2018)Sealing reliability modeling of aviation seal based on interval uncertainty method and multidimensional response surface (2019)
this work references cited by second hop

References

  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2003Safety assessment of structures in view of fuzzy randomness165 cited
  • 1994Refined second-order reliability analysis165 cited
  • 1996Safety index calculation using intervening variables for structural reliability analysis119 cited
  • 2003Adaptation of fast Fourier transformations to estimate structural failure probability58 cited
  • 1999Higher-order failure probability calculation using nonlinear approximations47 cited
  • 1997Probability analysis method using Fast Fourier transform and its application45 cited

Cited by

  • 2017A new structural reliability index based on uncertainty theory33 cited
  • 2012Multicut‐High Dimensional Model Representation for Structural Reliability Bounds Estimation Under Mixed Uncertainties30 cited
  • 2012Inverse structural reliability analysis under mixed uncertainties using high dimensional model representation and fast Fourier transform25 cited
  • 2014Efficient Assessment of Structural Reliability in Presence of Random and Fuzzy Uncertainties24 cited
  • 2021A novel mixed uncertainty support vector machine method for structural reliability analysis22 cited
  • 2013The uncertainty importance measures of the structural system in view of mixed uncertain variables20 cited
  • 2012

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Confidence Bounds on Design Variables Using High-Dimensional Model Representation–Based Inverse Reliability Analysis
16 cited
  • 2015Improved Reliability-Based Optimization with Support Vector Machines and Its Application in Aircraft Wing Design16 cited
  • 2011Explicit fuzzy analysis of systems with imprecise properties15 cited
  • 2025Time-dependent reliability analysis for mechanisms considering the nonlinear contact behavior in joint clearances14 cited
  • 2012An entropy-based global sensitivity analysis for the structures with both fuzzy variables and random variables13 cited
  • 2011Efficient explicit formulation for practical fuzzy structural analysis12 cited
  • 2010Saddlepoint approximation based line sampling method for uncertainty propagation in fuzzy and random reliability analysis12 cited
  • 2010Reliability study of fracture mechanics based non‐probabilistic interval analysis model11 cited
  • 2022A novel safety measure with random and fuzzy variables and its solution by combining Kriging with truncated candidate region10 cited