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Experimental Data Have to Decide Which of the Nonprobabilistic Uncertainty Descriptions—Convex Modeling or Interval Analysis—to Utilize
14 references·11 citing·33 second hop
Experimental Data Have to Decide Which of the Nonprobabilistic Uncertainty Descriptions—Convex Modeling or Interval Analysis—to Utilize (2008)Experimental Data Have to Decide Which of…Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures (2007)Interval sensitivity theory a…Calculating frequency response functions for uncertain systems using complex affine analysis (2005)Calculating frequency respons…Comparison of static response of structures using convex models and interval analysis method (2003)Comparison of static response…Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Comparison of dynamic respons…Non-Classical Problems in the Theory of Elastic Stability (2001)Non-Classical Problems in the…Non-Classical Problems in the Theory of Elastic Stability (2001)Non-Classical Problems in the…Anti-optimisation of uncertain structures using interval analysis (2001)Anti-optimisation of uncertai…Load and resistance convex models for optimum design (1999)Load and resistance convex mo…Bounds of Structural Response for All Possible Loading Combinations (1999)Bounds of Structural Response…Optimization of uncertain structures using non-probabilistic models (1998)Optimization of uncertain str…Design of Trusses Under Uncertain Loads Using Convex Models (1998)Design of Trusses Under Uncer…Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Analysis of Uncertain Structu…Non-linear buckling of a column with initial imperfection via stochastic and non-stochastic convex models (1994)Non-linear buckling of a colu…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …A credible interval analysis method for uncertain structures under nonprobabilistic framework (2022)A credible interval analysis …On the use of probabilistic and non-probabilistic super parametric hybrid models for time-variant reliability analysis (2021)On the use of probabilistic a…A Review of Interval Field Approaches for Uncertainty Quantification in Numerical Models (2021)A Review of Interval Field Ap…On auto‐ and cross‐interdependence in interval field finite element analysis (2019)On auto‐ and cross‐interdepen…A novel method for non-probabilistic convex modelling based on data from practical engineering (2019)A novel method for non-probab…Multivariate dependent interval finite element analysis via convex hull pair constructions and the Extended Transformation Method (2018)Multivariate dependent interv…Uncertainty quantification of multi-dimensional parameters for composite laminates based on grey mathematical theory (2017)Uncertainty quantification of…Structural analysis with alternative uncertainty models: From data to safety measures (2016)Structural analysis with alte…Response Analysis of Acoustic Field With Convex Parameters (2014)Response Analysis of Acoustic…Potential problems with random parameters by the generalized perturbation-based stochastic finite element method (2010)Potential problems with rando…Hybrid theoretical, experimental and numerical study of vibration and buckling of composite shells with scatter in elastic moduli (2009)Hybrid theoretical, experimen…Exact and Invariant Second-Moment Code Format (1974)A non-probabilistic concept of reliability (1994)Optimum structural design via convex model superposition (2000)Sequential Semidefinite Program for Maximum Robustness Design of Structures under Load Uncertainty (2006)Construction and application of an ellipsoidal convex model using a semi-definite programming formulation from measured data (2015)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Uncertainty in Mechanics Problems—Interval–Based Approach (2001)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Doubly Spectral Stochastic Finite-Element Method for Linear Structural Dynamics (2011)Analytical uncertainty quantification for modal frequencies with structural parameter uncertainty using a Gaussian process metamodel (2014)Arbitrary polynomial chaos expansion method for uncertainty quantification and global sensitivity analysis in structural dynamics (2020)ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS (2001)A response surface based optimisation algorithm for the calculation of fuzzy envelope FRFs of models with uncertain properties (2007)Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters (2012)A feasible implementation procedure for interval analysis method from measurement data (2013)Structural design under bounded uncertainty—Optimization with anti-optimization (1994)Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem (2007)Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Design Sensitivity Analysis of Structural Systems (1986)Exact bounds for the static response set of structures with uncertain-but-bounded parameters (2006)An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion (2011)Fuzzy sets (1965)Interval Algebra to Deal with Pattern Loading and Structural Uncertainties (1995)Practical fuzzy finite element analysis of structures (2001)Polynomial Chaos in Stochastic Finite Elements (1990)Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Optimization design of a disc brake system with hybrid uncertainties (2016)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)
this work references cited by second hop

References

  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1997Analysis of Uncertain Structural Systems Using Interval Analysis423 cited
  • 2003Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach246 cited
  • 2001Anti-optimisation of uncertain structures using interval analysis180 cited
  • 2003Comparison of static response of structures using convex models and interval analysis method109 cited
  • 1999Bounds of Structural Response for All Possible Loading Combinations103 cited
  • 1998Design of Trusses Under Uncertain Loads Using Convex Models95 cited
  • 2007Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures90 cited
  • 1994Non-linear buckling of a column with initial imperfection via stochastic and non-stochastic convex models89 cited
  • 2005Calculating frequency response functions for uncertain systems using complex affine analysis83 cited
  • 2001Non-Classical Problems in the Theory of Elastic Stability78 cited
  • 2001Non-Classical Problems in the Theory of Elastic Stability60 cited
  • 1998Optimization of uncertain structures using non-probabilistic models50 cited
  • 1999Load and resistance convex models for optimum design

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47 cited

Cited by

  • 2018Multivariate dependent interval finite element analysis via convex hull pair constructions and the Extended Transformation Method33 cited
  • 2019A novel method for non-probabilistic convex modelling based on data from practical engineering27 cited
  • 2010Potential problems with random parameters by the generalized perturbation-based stochastic finite element method25 cited
  • 2019On auto‐ and cross‐interdependence in interval field finite element analysis23 cited
  • 2021On the use of probabilistic and non-probabilistic super parametric hybrid models for time-variant reliability analysis19 cited
  • 2017Uncertainty quantification of multi-dimensional parameters for composite laminates based on grey mathematical theory18 cited
  • 2009Hybrid theoretical, experimental and numerical study of vibration and buckling of composite shells with scatter in elastic moduli17 cited
  • 2016Structural analysis with alternative uncertainty models: From data to safety measures17 cited
  • 2014Response Analysis of Acoustic Field With Convex Parameters17 cited
  • 2022A credible interval analysis method for uncertain structures under nonprobabilistic framework16 cited
  • 2021A Review of Interval Field Approaches for Uncertainty Quantification in Numerical Models11 cited