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Fuzzy Finite Element Method for Frequency Response Function Analysis of Uncertain Structures
5 references·16 citing·37 second hop
Fuzzy Finite Element Method for Frequency Response Function Analysis of Uncertain Structures (2002)Fuzzy Finite Element Method for Frequency…Reliability Assessment Using Stochastic Finite Element Analysis (2001)Reliability Assessment Using …Reliability Assessment Using Stochastic Finite Element Analysis (2000)Reliability Assessment Using …Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling (1995)Essay on uncertainties in ela…The stochastic finite-element method (1980)The stochastic finite-element…Fuzzy sets (1965)Fuzzy setsA Newton iteration‐based interval analysis method for nonlinear structural systems with uncertain‐but‐bounded parameters (2021)A Newton iteration‐based inte…Interval uncertainty analysis for static response of structures using radial basis functions (2019)Interval uncertainty analysis…A dual-layer dimension-wise fuzzy finite element method (DwFFEM) for the structural-acoustic analysis with epistemic uncertainties (2019)A dual-layer dimension-wise f…Enhanced uncertain structural analysis with time- and spatial-dependent (functional) fuzzy results (2018)Enhanced uncertain structural…A unified model approach for probability response analysis of structure-acoustic system with random and epistemic uncertainties (2018)A unified model approach for …A dual-layer dimension-wise fuzzy finite element method for structural analysis with epistemic uncertainties (2018)A dual-layer dimension-wise f…A Bayesian collocation method for static analysis of structures with unknown-but-bounded uncertainties (2018)A Bayesian collocation method…DERIVATION OF AN INPUT INTERVAL FIELD DECOMPOSITION BASED ON EXPERT KNOWLEDGE USING LOCALLY DEFINED BASIS FUNCTIONS (2015)DERIVATION OF AN INPUT INTERV…Fuzzy parametric uncertainty analysis of linear dynamical systems: A surrogate modeling approach (2012)Fuzzy parametric uncertainty …Fuzzy approach for uncertainty analysis of thin walled composite beams (2012)Fuzzy approach for uncertaint…High dimensional model representation based formulations for fuzzy finite element analysis of structures (2011)High dimensional model repres…The modal stability procedure for dynamic and linear finite element analysis with variability (2010)The modal stability procedure…High dimensional model representation method for fuzzy structural dynamics (2010)High dimensional model repres…Fuzzy finite element analysis based on reanalysis technique (2010)Fuzzy finite element analysis…Nondeterministic Linear Static Finite Element Analysis: An Interval Approach (2005)Nondeterministic Linear Stati…Non-probabilistic approaches for non-deterministic dynamic FE analysis of imprecisely defined structures (2004)Non-probabilistic approaches …Safety and the Probability of Structural Failure (1956)Statistical Methods in Structural Mechanics. (1970)Convex Models of Uncertainty in Applied Mechanics (1990)Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Structural reliability assessment based on probability and convex set mixed model (2009)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)Fuzzy sets (1996)General foundations of high‐dimensional model representations (1999)Interval analysis of steady-state heat convection–diffusion problem with uncertain-but-bounded parameters (2015)Hybrid uncertainty propagation in structural-acoustic systems based on the polynomial chaos expansion and dimension-wise analysis (2017)An interval uncertainty analysis method for structural response bounds using feedforward neural network differentiation (2020)Exact and Invariant Second-Moment Code Format (1974)Random field finite elements (1986)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Modified Interval and Subinterval Perturbation Methods for the Static Response Analysis of Structures with Interval Parameters (2013)Fuzzy reliability analysis using a new alpha level set optimization approach based on particle swarm optimization (2015)Stochastic finite element analysis of plates with the Certain Generalized Stresses Method (2016)Stochastic Finite Elements: A Spectral Approach (1991)Uncertainty analysis of flexible rotors considering fuzzy parameters and fuzzy-random parameters (2015)Statistical Framework for Sensitivity Analysis of Structural Dynamic Characteristics (2017)Contribution to Modal and Spectral Interval Finite Element Analysis (2011)Structural analysis with probability-boxes (2012)Chosen Numerical Algorithms for Interval Finite Element Analysis (2014)Structural Reliability Analysis and Prediction (2017)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)The stochastic finite element method: Past, present and future (2008)Recent advances in uncertainty quantification in structural response characterization and system identification (2023)Quantum interval neural network for uncertain structural static analysis (2025)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Assessment of the efficiency of Kriging surrogate models for structural reliability analysis (2014)Reliability analysis of structures by iterative improved response surface method (2016)Family resemblances: Studies in the internal structure of categories (1975)Basic objects in natural categories (1976)Soft set theory—First results (1999)Comparison of response surface and neural network with other methods for structural reliability analysis (2003)
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References

  • 1965Fuzzy sets67,827 cited
  • 1980The stochastic finite-element method641 cited
  • 2000Reliability Assessment Using Stochastic Finite Element Analysis524 cited
  • 2001Reliability Assessment Using Stochastic Finite Element Analysis472 cited
  • 1995Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling275 cited

Cited by

  • 2011High dimensional model representation based formulations for fuzzy finite element analysis of structures62 cited
  • 2019Interval uncertainty analysis for static response of structures using radial basis functions54 cited
  • 2012Fuzzy parametric uncertainty analysis of linear dynamical systems: A surrogate modeling approach44 cited
  • 2010Fuzzy finite element analysis based on reanalysis technique39 cited
  • 2005Nondeterministic Linear Static Finite Element Analysis: An Interval Approach35 cited
  • 2018A Bayesian collocation method for static analysis of structures with unknown-but-bounded uncertainties34 cited
  • 2010High dimensional model representation method for fuzzy structural dynamics28 cited
  • 2004Non-probabilistic approaches for non-deterministic dynamic FE analysis of imprecisely defined structures25 cited
  • 2010The modal stability procedure for dynamic and linear finite element analysis with variability

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19 cited
  • 2018A unified model approach for probability response analysis of structure-acoustic system with random and epistemic uncertainties17 cited
  • 2018Enhanced uncertain structural analysis with time- and spatial-dependent (functional) fuzzy results16 cited
  • 2015DERIVATION OF AN INPUT INTERVAL FIELD DECOMPOSITION BASED ON EXPERT KNOWLEDGE USING LOCALLY DEFINED BASIS FUNCTIONS15 cited
  • 2012Fuzzy approach for uncertainty analysis of thin walled composite beams14 cited
  • 2021A Newton iteration‐based interval analysis method for nonlinear structural systems with uncertain‐but‐bounded parameters13 cited
  • 2018A dual-layer dimension-wise fuzzy finite element method for structural analysis with epistemic uncertainties13 cited
  • 2019A dual-layer dimension-wise fuzzy finite element method (DwFFEM) for the structural-acoustic analysis with epistemic uncertainties12 cited