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Static analysis of Euler–Bernoulli beams with interval Young’s modulus
10 references·16 citing·35 second hop
Static analysis of Euler–Bernoulli beams with interval Young’s modulus (2015)Static analysis of Euler–Bernoulli beams …Interval fields to represent uncertainty on the output side of a static FE analysis (2013)Interval fields to represent …Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters (2012)Bounds for the stationary sto…Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Stochastic analysis of struct…Numerical dynamic analysis of uncertain mechanical structures based on interval fields (2010)Numerical dynamic analysis of…Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)Non-probabilistic finite elem…A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)A survey of non-probabilistic…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …Response Variability Of Stochastic Finite Element Systems (1988)Response Variability Of Stoch…Neumann Expansion for Stochastic Finite Element Analysis (1988)Neumann Expansion for Stochas…A sequential simulation strategy for response bounds analysis of structures with interval uncertainties (2022)A sequential simulation strat…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 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…Nondeterministic dynamic stability assessment of Euler–Bernoulli beams using Chebyshev surrogate model (2018)Nondeterministic dynamic stab…Non-probabilistic interval process analysis of time-varying uncertain structures (2018)Non-probabilistic interval pr…Dynamics of structures with uncertain-but-bounded parameters via pseudo-static sensitivity analysis (2018)Dynamics of structures with u…Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach (2017)Uncertainty analysis for stru…Identification and quantification of spatial interval uncertainty in numerical models (2017)Identification and quantifica…Hybrid uncertain natural frequency analysis for structures with random and interval fields (2017)Hybrid uncertain natural freq…Uncertain static plane stress analysis with interval fields (2016)Uncertain static plane stress…Structural response variability under spatially dependent uncertainty: Stochastic versus interval model (2015)Structural response variabili…Stochastic finite element analysis of structures in the presence of multiple imprecise random field parameters (2015)Stochastic finite element ana…Static response bounds of Timoshenko beams with spatially varying interval uncertainties (2015)Static response bounds of Tim…Fuzzy sets (1965)A mathematical theory of evidence (1977)Fuzzy sets (1996)A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)Uncertainty in Mechanics Problems—Interval–Based Approach (2001)Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Hybrid uncertain static analysis with random and interval fields (2016)Interval field model and interval finite element analysis (2019)Non-probabilistic uncertainty quantification and response analysis of structures with a bounded field model 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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1988Neumann Expansion for Stochastic Finite Element Analysis496 cited
  • 2004A survey of non-probabilistic uncertainty treatment in finite element analysis365 cited
  • 2010Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances254 cited
  • 1988Response Variability Of Stochastic Finite Element Systems236 cited
  • 2011Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis149 cited
  • 2013Interval fields to represent uncertainty on the output side of a static FE analysis85 cited
  • 2012Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters79 cited
  • 2010Numerical dynamic analysis of uncertain mechanical structures based on interval fields61 cited

Cited by

  • 2015Static response bounds of Timoshenko beams with spatially varying interval uncertainties55 cited
  • 2020Interval K-L expansion of interval process model for dynamic uncertainty analysis53 cited
  • 2016Uncertain static plane stress analysis with interval fields44 cited
  • 2017Identification and quantification of spatial interval uncertainty in numerical models

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44 cited
  • 2015Structural response variability under spatially dependent uncertainty: Stochastic versus interval model41 cited
  • 2017Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach37 cited
  • 2017Hybrid uncertain natural frequency analysis for structures with random and interval fields35 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
  • 2015Stochastic finite element analysis of structures in the presence of multiple imprecise random field parameters31 cited
  • 2018Non-probabilistic interval process analysis of time-varying uncertain structures28 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
  • 2019Buckling assessment of thin-walled plates with uncertain geometrical imperfections based on non-probabilistic field model23 cited
  • 2018Nondeterministic dynamic stability assessment of Euler–Bernoulli beams using Chebyshev surrogate model16 cited
  • 2018Dynamics of structures with uncertain-but-bounded parameters via pseudo-static sensitivity analysis15 cited