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An interval uncertainty analysis method for structural response bounds using feedforward neural network differentiation
16 references·4 citing·38 second hop
An interval uncertainty analysis method for structural response bounds using feedforward neural network differentiation (2020)An interval uncertainty analysis method f…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…Reliability sensitivity analysis with random and interval variables (2009)Reliability sensitivity analy…A sequential nonlinear interval number programming method for uncertain structures (2008)A sequential nonlinear interv…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…Exact bounds for the static response set of structures with uncertain-but-bounded parameters (2006)Exact bounds for the static r…Collocation-based stochastic finite element analysis for random field problems (2006)Collocation-based stochastic …Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Parameter perturbation method…Uncertainty in Mechanics Problems—Interval–Based Approach (2001)Uncertainty in Mechanics Prob…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…Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems (1998)Stochastic Response Surface M…Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…Interval Algebra to Deal with Pattern Loading and Structural Uncertainties (1995)Interval Algebra to Deal with…An ɛ -accelerated bivariate dimension-reduction interval finite element method (2024)An ɛ -accelerated bivariate d…Dynamic response analysis of a shaft-disk-drum rotor system with interval uncertainties (2023)Dynamic response analysis of …Machine learning based optimization for interval uncertainty propagation (2022)Machine learning based optimi…A sequential simulation strategy for response bounds analysis of structures with interval uncertainties (2022)A sequential simulation strat…Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building. 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References

  • 1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
  • 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems387 cited
  • 2012A Chebyshev interval method for nonlinear dynamic systems under uncertainty304 cited
  • 2001Uncertainty in Mechanics Problems—Interval–Based Approach289 cited
  • 2005Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis190 cited
  • 2006Collocation-based stochastic finite element analysis for random field problems182 cited
  • 2001Anti-optimisation of uncertain structures using interval analysis180 cited
  • 2009Reliability sensitivity analysis with random and interval variables171 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
  • 1995Interval Algebra to Deal with Pattern Loading and Structural Uncertainties111 cited
  • 2006INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS108 cited
  • 2012

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Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters
106 cited
  • 2008A sequential nonlinear interval number programming method for uncertain structures97 cited
  • 2006Exact bounds for the static response set of structures with uncertain-but-bounded parameters78 cited
  • Cited by

    • 2022A sequential simulation strategy for response bounds analysis of structures with interval uncertainties26 cited
    • 2023Dynamic response analysis of a shaft-disk-drum rotor system with interval uncertainties24 cited
    • 2022Machine learning based optimization for interval uncertainty propagation20 cited
    • 2024An ɛ -accelerated bivariate dimension-reduction interval finite element method11 cited