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A dimension-wise method for the static analysis of structures with interval parameters
15 references·6 citing·21 second hop
A dimension-wise method for the static analysis of structures with interval parameters (2014)A dimension-wise method for the static an…Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)Non-probabilistic finite elem…Interval analysis of structures with uncertain-but-bounded axial stiffness (2010)Interval analysis of structur…The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem (2007)The static displacement and t…Exact bounds for the static response set of structures with uncertain-but-bounded parameters (2006)Exact bounds for the static r…A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)A survey of non-probabilistic…Comparison of static response of structures using convex models and interval analysis method (2003)Comparison of static response…Uncertainty in Mechanics Problems—Interval–Based Approach (2001)Uncertainty in Mechanics Prob…Interval arithmetic and static interval finite element method (2001)Interval arithmetic and stati…Anti-optimisation of uncertain structures using interval analysis (2001)Anti-optimisation of uncertai…Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties (1998)A comparison of stochastic an…Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Analysis of Uncertain Structu…The displacement bound estimation for structures with an interval description of uncertain parameters (1996)The displacement bound estima…Interval Algebra to Deal with Pattern Loading and Structural Uncertainties (1995)Interval Algebra to Deal with…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …An effective subinterval analysis method for uncertain problems with large uncertainty based on positive and negative gradients (2024)An effective subinterval anal…A bivariate subinterval method for dynamic analysis of mechanical systems with interval uncertain parameters (2023)A bivariate subinterval metho…A Newton iteration‐based interval analysis method for nonlinear structural systems with uncertain‐but‐bounded parameters (2021)A Newton iteration‐based inte…Unknown-but-bounded uncertainty propagation in spacecraft structural system: Interval reduced basis method and its integrated framework (2019)Unknown-but-bounded uncertain…An Iterative Dimension-Wise Approach to the Structural Analysis with Interval Uncertainties (2017)An Iterative Dimension-Wise A…A novel method of Newton iteration-based interval analysis for multidisciplinary systems (2017)A novel method of Newton iter…Fuzzy sets (1965)A mathematical theory of evidence (1977)Fuzzy sets (1996)Engineering computation under uncertainty – Capabilities of non-traditional models (2007)A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)Structural design under bounded uncertainty—Optimization with anti-optimization (1994)Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Kriging metamodeling in simulation: A review (2007)Novel reliability-based optimization method for thermal structure with hybrid random, interval and fuzzy parameters (2017)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Interval analysis of acoustic field with uncertain-but-bounded parameters (2012)Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters (2012)Interval and subinterval perturbation methods for a structural-acoustic system with interval parameters (2013)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Interval Monte Carlo methods for structural reliability (2010)Bounds of Structural Response for All Possible Loading Combinations (1999)ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS (2001)Interval Finite Elements as a Basis for Generalized Models of Uncertainty in Engineering Mechanics (2006)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)
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References

  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1997Analysis of Uncertain Structural Systems Using Interval Analysis423 cited
  • 1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
  • 2004A survey of non-probabilistic uncertainty treatment in finite element analysis365 cited
  • 2001Uncertainty in Mechanics Problems—Interval–Based Approach289 cited
  • 2010Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances254 cited
  • 2001Anti-optimisation of uncertain structures using interval analysis180 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
  • 1995Interval Algebra to Deal with Pattern Loading and Structural Uncertainties111 cited
  • 2003Comparison of static response of structures using convex models and interval analysis method109 cited
  • 2006Exact bounds for the static response set of structures with uncertain-but-bounded parameters78 cited
  • 1998A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties62 cited
  • 1996The displacement bound estimation for structures with an interval description of uncertain parameters

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60 cited
  • 2001Interval arithmetic and static interval finite element method35 cited
  • Cited by

    • 2017An Iterative Dimension-Wise Approach to the Structural Analysis with Interval Uncertainties23 cited
    • 2017A novel method of Newton iteration-based interval analysis for multidisciplinary systems20 cited
    • 2019Unknown-but-bounded uncertainty propagation in spacecraft structural system: Interval reduced basis method and its integrated framework19 cited
    • 2023A bivariate subinterval method for dynamic analysis of mechanical systems with interval uncertain parameters14 cited
    • 2021A Newton iteration‐based interval analysis method for nonlinear structural systems with uncertain‐but‐bounded parameters13 cited
    • 2024An effective subinterval analysis method for uncertain problems with large uncertainty based on positive and negative gradients9 cited