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Non-probabilistic uncertainty quantification and response analysis of structures with a bounded field model
13 references·16 citing·44 second hop
Non-probabilistic uncertainty quantification and response analysis of structures with a bounded field model (2019)Non-probabilistic uncertainty quantificat…Hybrid uncertain static analysis with random and interval fields (2016)Hybrid uncertain static analy…A new interval uncertain optimization method for structures using Chebyshev surrogate models (2014)A new interval uncertain opti…Interval fields to represent uncertainty on the output side of a static FE analysis (2013)Interval fields to represent …Structural reliability analysis using non-probabilistic convex model (2012)Structural reliability analys…Structural reliability analysis based on random distributions with interval parameters (2011)Structural reliability analys…On non-probabilistic reliability-based design optimization of structures with uncertain-but-bounded parameters (2011)On non-probabilistic reliabil…Representation, Propagation, and Decision Issues in Risk Analysis Under Incomplete Probabilistic Information (2010)Representation, Propagation, …Reliability-based Structural Design (2006)Reliability-based Structural …Reliability-Based Structural Design (2005)Reliability-Based Structural …Orthogonal Series Expansions of Random Fields in Reliability Analysis (1994)Orthogonal Series Expansions …Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Convex Models of Uncertainty in Radial Pulse Buckling of Shells (1993)Convex Models of Uncertainty …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Novel method for reliability optimization design based on rough set theory and hybrid surrogate model (2024)Novel method for reliability …A New Latin Hypercube Sampling with Maximum Diversity Factor for Reliability-Based Design Optimization of HLM (2024)A New Latin Hypercube Samplin…Recent advances in uncertainty quantification in structural response characterization and system identification (2023)Recent advances in uncertaint…Quantification and propagation of Aleatoric uncertainties in topological structures (2023)Quantification and propagatio…An interval iterative method for response bounds analysis of structures with spatially uncertain parameters (2023)An interval iterative method …Uncertainty quantification for initial geometric imperfections of cylindrical shells: A novel bi-stage random field parameter estimation method (2022)Uncertainty quantification fo…Novel rough set theory-based method for epistemic uncertainty modeling, analysis and applications (2022)Novel rough set theory-based …A sequential simulation strategy for response bounds analysis of structures with interval uncertainties (2022)A sequential simulation strat…Local explicit interval fields for non-stationary uncertainty modelling in finite element models (2021)Local explicit interval field…A non-probabilistic uncertainty analysis method based on ellipsoid possibility model and its applications in multi-field coupling systems (2021)A non-probabilistic uncertain…Uncertainty of membrane wrinkling behaviors considering initial thickness imperfections (2020)Uncertainty of membrane wrink…Interval K-L expansion of interval process model for dynamic uncertainty analysis (2020)Interval K-L expansion of int…Hybrid uncertainty analysis of functionally graded plates via multiple-imprecise-random-field modelling of uncertain material properties (2020)Hybrid uncertainty analysis o…A semi-analytical interval method for response bounds analysis of structures with spatially uncertain loads (2020)A semi-analytical interval me…A general assessment index for non-probabilistic reliability of structures with bounded field and parametric uncertainties (2020)A general assessment index fo…Buckling assessment of thin-walled plates with uncertain geometrical imperfections based on non-probabilistic field model (2019)Buckling assessment of thin-w…Exact and Invariant Second-Moment Code Format (1974)Probability Concepts in Engineering Planning and Design (1975)Simulation and the Monte Carlo Method (2007)Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis (2015)Adaptive kriging-based efficient reliability method for structural systems with multiple failure modes and mixed variables (2019)Interval riccati equation-based and non-probabilistic dynamic reliability-constrained multi-objective optimal vibration control with multi-source uncertainties (2024)Maxmin expected utility with non-unique prior (1989)An Introduction to Copulas (1999)Constructing Probability Boxes and Dempster-Shafer Structures (2003)Foundational Issues in Risk Assessment and Risk Management (2012)Comparing the treatment of uncertainty in Bayesian networks and fuzzy expert systems used for a human reliability analysis application (2015)Improving risk characterisations in practical situations by highlighting knowledge aspects, with applications to risk matrices (2017)Structural reliability under combined 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multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis (2015)Reliability-based design optimization of structural systems under hybrid probabilistic and interval model (2015)Structural Reliability Analysis and Prediction (2017)An importance learning method for non-probabilistic reliability analysis and optimization (2018)Structural Reliability under Incomplete Probability Information (1986)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)The PHI2 method: a way to compute time-variant reliability (2003)Simulation of Stochastic Processes by Spectral Representation (1991)The geometry of random vibrations and solutions by FORM and SORM (2000)Comparison of finite element reliability methods (2002)Time-Dependent Reliability Analysis Through Response Surface Method (2017)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)System reliability analysis by enhanced Monte Carlo simulation (2009)An efficient response surface method using moving least squares approximation for structural reliability analysis (2010)Time-dependent reliability analysis with joint upcrossing rates (2013)Uncertain buckling: its past, present and future (2000)Probability and convex set hybrid reliability analysis based on active learning Kriging model (2014)Discussions on non-probabilistic convex modelling for uncertain problems (2018)
this work references cited by second hop

References

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  • 2011Structural reliability analysis based on random distributions with interval parameters165 cited
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  • 2010Representation, Propagation, and Decision Issues in Risk Analysis Under Incomplete Probabilistic Information134 cited
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  • 2013Interval fields to represent uncertainty on the output side of a static FE analysis85 cited
  • 2016Hybrid uncertain static analysis with random and interval fields83 cited
  • 2005Reliability-Based Structural Design81 cited

Cited by

  • 2024Novel method for reliability optimization design based on rough set theory and hybrid surrogate model55 cited

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  • 2020Interval K-L expansion of interval process model for dynamic uncertainty analysis53 cited
  • 2023Recent advances in uncertainty quantification in structural response characterization and system identification40 cited
  • 2020A general assessment index for non-probabilistic reliability of structures with bounded field and parametric uncertainties34 cited
  • 2020Hybrid uncertainty analysis of functionally graded plates via multiple-imprecise-random-field modelling of uncertain material properties32 cited
  • 2020Uncertainty of membrane wrinkling behaviors considering initial thickness imperfections28 cited
  • 2022A sequential simulation strategy for response bounds analysis of structures with interval uncertainties26 cited
  • 2024A New Latin Hypercube Sampling with Maximum Diversity Factor for Reliability-Based Design Optimization of HLM23 cited
  • 2019Buckling assessment of thin-walled plates with uncertain geometrical imperfections based on non-probabilistic field model23 cited
  • 2022Uncertainty quantification for initial geometric imperfections of cylindrical shells: A novel bi-stage random field parameter estimation method23 cited
  • 2021Local explicit interval fields for non-stationary uncertainty modelling in finite element models17 cited
  • 2022Novel rough set theory-based method for epistemic uncertainty modeling, analysis and applications14 cited
  • 2023An interval iterative method for response bounds analysis of structures with spatially uncertain parameters13 cited
  • 2021A non-probabilistic uncertainty analysis method based on ellipsoid possibility model and its applications in multi-field coupling systems13 cited
  • 2020A semi-analytical interval method for response bounds analysis of structures with spatially uncertain loads12 cited
  • 2023Quantification and propagation of Aleatoric uncertainties in topological structures11 cited