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A Bayesian collocation method for static analysis of structures with unknown-but-bounded uncertainties
16 references·8 citing·39 second hop
A Bayesian collocation method for static analysis of structures with unknown-but-bounded uncertainties (2018)A Bayesian collocation method for static …Time-Dependent Reliability Analysis Through Response Surface Method (2017)Time-Dependent Reliability An…Structural reliability analysis using a copula-function-based evidence theory model (2014)Structural reliability analys…A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty (2013)A novel evidence-theory-based…Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters (2012)Modified sub-interval perturb…A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)A Chebyshev interval method f…Interval analysis of structures with uncertain-but-bounded axial stiffness (2010)Interval analysis of structur…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem (2007)The static displacement and t…INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS (2006)INTERVAL AND SUBINTERVAL ANAL…Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos (2002)Modeling uncertainty in stead…Interval static displacement analysis for structures with interval parameters (2001)Interval static displacement …Anti-optimisation of uncertain structures using interval analysis (2001)Anti-optimisation of uncertai…Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Analysis of Uncertain Structu…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …Structural Reliability under 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Interval reduced basis method and its integrated framework (2019)Unknown-but-bounded uncertain…An iteration method for predicting static response of nonlinear structural systems with non-deterministic parameters (2018)An iteration method for predi…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Robust optimization – A comprehensive survey (2007)A new interval uncertain optimization method for structures using Chebyshev surrogate models (2014)A new uncertain analysis method and its application in vehicle dynamics (2014)A state-of-the-art review on uncertainty analysis of rotor systems (2022)Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Narrow Reliability Bounds for Structural Systems (1979)Second‐Order Reliability Approximations (1987)Optimal Discretization of Random Fields (1993)Reliability analysis—a review and some perspectives (2001)Structural design under bounded uncertainty—Optimization with anti-optimization (1994)Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Fuzzy sets (1965)Fuzzy sets (1996)First and second order approximate reliability analysis methods using evidence theory (2015)Measuring reliability under epistemic uncertainty: Review on non-probabilistic reliability metrics (2016)A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities (2018)Stochastic Finite Elements: A Spectral Approach (1991)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)An 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for aerospace vehicles (2011)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Interval Monte Carlo methods for structural reliability (2010)Uncertainty in Mechanics Problems—Interval–Based Approach (2001)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)
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References

  • 2008The stochastic finite element method: Past, present and future999 cited
  • 1986Structural Reliability under Incomplete Probability Information853 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 1997Analysis of Uncertain Structural Systems Using Interval Analysis423 cited
  • 1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
  • 2012A Chebyshev interval method for nonlinear dynamic systems under uncertainty304 cited
  • 2017Time-Dependent Reliability Analysis Through Response Surface Method244 cited
  • 2001Anti-optimisation of uncertain structures using interval analysis180 cited
  • 2013A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty151 cited
  • 2007The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem138 cited
  • 2010Interval analysis of structures with uncertain-but-bounded axial stiffness128 cited
  • 2001Interval static displacement analysis for structures with interval parameters117 cited
  • 2006INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS

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108 cited
  • 2012Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters106 cited
  • 2014Structural reliability analysis using a copula-function-based evidence theory model92 cited
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    • 2021A univariate Chebyshev polynomials method for structural systems with interval uncertainty15 cited
    • 2022An adaptive bivariate decomposition method for interval optimization problems with multiple uncertain parameters14 cited
    • 2021A Newton iteration‐based interval analysis method for nonlinear structural systems with uncertain‐but‐bounded parameters13 cited
    • 2023A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures11 cited
    • 2024An ɛ -accelerated bivariate dimension-reduction interval finite element method11 cited