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Interval uncertainty analysis for static response of structures using radial basis functions
16 references·15 citing·35 second hop
Interval uncertainty analysis for static response of structures using radial basis functions (2019)Interval uncertainty analysis for static …A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty (2013)A novel evidence-theory-based…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…Collocation-based stochastic finite element analysis for random field problems (2006)Collocation-based 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References

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  • 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
  • 2001Uncertainty in Mechanics Problems—Interval–Based Approach289 cited
  • 2006Collocation-based stochastic finite element analysis for random field problems182 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 parameters

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117 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
  • Cited by

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    • 2020A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty36 cited
    • 2022A sequential simulation strategy for response bounds analysis of structures with interval uncertainties26 cited
    • 2020Robust optimization of engineering structures involving hybrid probabilistic and interval uncertainties25 cited
    • 2019Unknown-but-bounded uncertainty propagation in spacecraft structural system: Interval reduced basis method and its integrated framework19 cited
    • 2019Uncertain vibration analysis based on the conceptions of differential and integral of interval process18 cited
    • 2021A univariate Chebyshev polynomials method for structural systems with interval uncertainty15 cited
    • 2024Non-probabilistic system reliability analysis of structures with interval uncertainty considering correlated failure modes14 cited
    • 2021Non-Probabilistic Reliability Bounds for Series Structural Systems12 cited
    • 2019Adaptive alternating Lipschitz search method for structural analysis with unknown-but-bounded uncertainties10 cited
    • 2023Propagation algorithm for hybrid uncertainty parameters based on polynomial chaos expansion9 cited
    • 2024Nonprobabilistic reliability analysis method for series-parallel structural systems with correlated uncertainties9 cited
    • 2021An improved Bayesian collocation method for steady-state response analysis of structural dynamic systems with large interval uncertainties8 cited