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Identification and quantification of multivariate interval uncertainty in finite element models
9 references·16 citing·44 second hop
Identification and quantification of multivariate interval uncertainty in finite element models (2016)Identification and quantification of mult…Static response bounds of Timoshenko beams with spatially varying interval uncertainties (2015)Static response bounds of Tim…Interval fields to represent uncertainty on the output side of a static FE analysis (2013)Interval fields to represent …Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)Non-probabilistic finite elem…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures (2007)Interval sensitivity theory a…Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)Recent advances in non-probab…Finite Element Methods in Probabilistic Structural Analysis: A Selective Review (1988)Finite Element Methods in Pro…Stochastic Finite Element Analysis of Simple Beams (1983)Stochastic Finite Element Ana…A two-dimensional interpolation function for irregularly-spaced data (1968)A two-dimensional interpolati…Uncertainty quantification for structural response field with ultra-high dimensions (2024)Uncertainty quantification fo…Interval parameter sensitivity analysis based on interval perturbation propagation and interval similarity operator (2023)Interval parameter sensitivit…An effective nonlinear interval sequential quadratic programming method for uncertain inverse problems (2023)An effective nonlinear interv…A bivariate subinterval method for dynamic analysis of mechanical systems with interval uncertain parameters (2023)A bivariate subinterval metho…A novel sensitivity index for analyzing the response of numerical models with interval inputs (2022)A novel sensitivity index for…Novel solution framework for inverse problem considering interval uncertainty (2021)Novel solution framework for …Bayesian inversion for imprecise probabilistic models using a novel entropy-based uncertainty quantification metric (2021)Bayesian inversion for imprec…A new non-probabilistic time-dependent reliability model for mechanisms with interval uncertainties (2021)A new non-probabilistic time-…Some significant improvements for interval process model and non-random vibration analysis method (2019)Some significant improvements…On the Robust Estimation of Small Failure Probabilities for Strong Nonlinear Models (2019)On the Robust Estimation of S…On auto‐ and cross‐interdependence in interval field finite element analysis (2019)On auto‐ and cross‐interdepen…Novel interval theory‐based parameter identification method for engineering heat transfer systems with epistemic uncertainty (2018)Novel interval theory‐based p…Multivariate dependent interval finite element analysis via convex hull pair constructions and the Extended Transformation Method (2018)Multivariate dependent interv…Identification and quantification of spatial interval uncertainty in numerical models (2017)Identification and quantifica…Euler–Bernoulli interval finite element with spatially varying uncertain properties (2017)Euler–Bernoulli interval fini…Comparison of Bayesian and interval uncertainty quantification: Application to the AIRMOD test structure (2017)Comparison of Bayesian and in…Uncertainty in Mechanics Problems—Interval–Based Approach (2001)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)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 (2019)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Doubly 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this work references cited by second hop

References

  • 1968A two-dimensional interpolation function for irregularly-spaced data5,259 cited
  • 2008The stochastic finite element method: Past, present and future999 cited
  • 1983Stochastic Finite Element Analysis of Simple Beams439 cited
  • 2010Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances254 cited
  • 1988Finite Element Methods in Probabilistic Structural Analysis: A Selective Review204 cited
  • 2006Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis143 cited
  • 2007Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures90 cited
  • 2013Interval fields to represent uncertainty on the output side of a static FE analysis85 cited
  • 2015Static response bounds of Timoshenko beams with spatially varying interval uncertainties55 cited

Cited by

  • 2021A new non-probabilistic time-dependent reliability model for mechanisms with interval uncertainties50 cited
  • 2024Uncertainty quantification for structural response field with ultra-high dimensions47 cited
  • 2021Bayesian inversion for imprecise probabilistic models using a novel entropy-based uncertainty quantification metric44 cited
  • 2017Identification and quantification of spatial interval uncertainty in numerical models44 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

  • 2019Some significant improvements for interval process model and non-random vibration analysis method43 cited
  • 2018Multivariate dependent interval finite element analysis via convex hull pair constructions and the Extended Transformation Method33 cited
  • 2018Novel interval theory‐based parameter identification method for engineering heat transfer systems with epistemic uncertainty28 cited
  • 2019On auto‐ and cross‐interdependence in interval field finite element analysis23 cited
  • 2021Novel solution framework for inverse problem considering interval uncertainty22 cited
  • 2019On the Robust Estimation of Small Failure Probabilities for Strong Nonlinear Models21 cited
  • 2022A novel sensitivity index for analyzing the response of numerical models with interval inputs18 cited
  • 2017Comparison of Bayesian and interval uncertainty quantification: Application to the AIRMOD test structure16 cited
  • 2023Interval parameter sensitivity analysis based on interval perturbation propagation and interval similarity operator15 cited
  • 2023A bivariate subinterval method for dynamic analysis of mechanical systems with interval uncertain parameters14 cited
  • 2017Euler–Bernoulli interval finite element with spatially varying uncertain properties14 cited
  • 2023An effective nonlinear interval sequential quadratic programming method for uncertain inverse problems13 cited