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Modified Interval Perturbation Finite Element Method for a Structural-Acoustic System With Interval Parameters
16 references·16 citing·38 second hopsampled
Modified Interval Perturbation Finite Element Method for a Structural-Acoustic System With Interval Parameters (2012)Modified Interval Perturbation Finite Ele…An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion (2011)An efficient methodology for …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…An efficient method for evaluating the natural frequencies of structures with uncertain-but-bounded parameters (2009)An efficient method for evalu…Spectral stochastic finite element analysis for laminated composite plates (2008)Spectral stochastic finite el…Monte Carlo Methods for Estimating the Extreme Response of Dynamical Systems (2008)Monte Carlo Methods for Estim…Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Optimization of structures wi…Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)Recent advances in non-probab…INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS (2006)INTERVAL AND SUBINTERVAL ANAL…Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Parameter perturbation method…A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)A survey of non-probabilistic…Anti-optimisation of uncertain structures using interval analysis (2001)Anti-optimisation of uncertai…Design of Trusses Under Uncertain Loads Using Convex Models (1998)Design of Trusses Under Uncer…Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…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 …A sequential simulation strategy for response bounds analysis of structures with interval uncertainties (2022)A sequential simulation strat…Uncertainty propagation of the energy flow in vibro-acoustic system with fuzzy parameters (2019)Uncertainty propagation of th…Fuzzy identification of dynamic loads in presence of structural epistemic uncertainties (2019)Fuzzy identification of dynam…An efficient analysis and optimization method for powertrain mounting systems involving interval uncertainty (2019)An efficient analysis and opt…Unified polynomial expansion for interval and random response analysis of uncertain structure–acoustic system with arbitrary probability distribution (2018)Unified polynomial expansion …Non-probabilistic interval process analysis of time-varying uncertain structures (2018)Non-probabilistic interval pr…Cross-covariance based global dynamic sensitivity analysis (2017)Cross-covariance based global…An enhanced subinterval analysis method for uncertain structural problems (2017)An enhanced subinterval analy…Interval and random analysis for structure–acoustic systems with large uncertain-but-bounded parameters (2016)Interval and random analysis …Dynamic response analysis of structure under time-variant interval process model (2016)Dynamic response analysis of …Collocation methods for fuzzy uncertainty propagation in heat conduction problem (2016)Collocation methods for fuzzy…A new hybrid uncertain analysis method for structural-acoustic systems with random and interval parameters (2016)A new hybrid uncertain analys…Hybrid finite element/statistical energy method for mid-frequency analysis of structure−acoustic systems with interval parameters (2015)Hybrid finite element/statist…A new random interval method for response analysis of structural–acoustic system with interval random variables (2015)A new random interval method …Unified response probability distribution analysis of two hybrid uncertain acoustic fields (2014)Unified response probability …Change-of-variable interval stochastic perturbation method for hybrid uncertain structural-acoustic systems with random and interval variables (2014)Change-of-variable interval s…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)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)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)Fuzzy uncertainty propagation in composites using Gram–Schmidt polynomial chaos expansion (2015)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis (2015)An importance learning method for non-probabilistic reliability analysis and optimization (2018)Monte Carlo solution of structural dynamics (1972)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Estimation of extreme values from sampled time series (2008)Reliability assessment in structural dynamics (2013)Sequential approximate optimization for design under uncertainty problems utilizing Kriging metamodeling in augmented input space (2016)Structural design under bounded uncertainty—Optimization with anti-optimization (1994)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)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)Kriging metamodeling in simulation: A review (2007)Novel reliability-based optimization method for thermal structure with hybrid random, interval and fuzzy parameters (2017)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Probabilistic Methods in the Theory of Structures (1984)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)Modeling, analysis, and optimization under uncertainties: a review (2021)A non-probabilistic concept of reliability (1994)Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling (1995)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Structural reliability assessment based on probability and convex set mixed model (2009)Structural reliability analysis based on random distributions with interval parameters (2011)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Interval Monte Carlo methods for structural reliability (2010)
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References

  • 1990Convex Models of Uncertainty in Applied Mechanics838 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
  • 2010Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances254 cited
  • 2005Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis190 cited
  • 2001Anti-optimisation of uncertain structures using interval analysis180 cited
  • 2007Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval173 cited
  • 2008Monte Carlo Methods for Estimating the Extreme Response of Dynamical Systems157 cited
  • 2006Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis143 cited
  • 2008Spectral stochastic finite element analysis for laminated composite plates136 cited
  • 2010Interval analysis of structures with uncertain-but-bounded axial stiffness128 cited
  • 1995Interval Algebra to Deal with Pattern Loading and Structural Uncertainties111 cited
  • 2006INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS108 cited
  • 1998

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Design of Trusses Under Uncertain Loads Using Convex Models
95 cited
  • 2009An efficient method for evaluating the natural frequencies of structures with uncertain-but-bounded parameters94 cited
  • 2011An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion89 cited
  • Cited by

    • 2016Interval and random analysis for structure–acoustic systems with large uncertain-but-bounded parameters47 cited
    • 2016Dynamic response analysis of structure under time-variant interval process model45 cited
    • 2016A new hybrid uncertain analysis method for structural-acoustic systems with random and interval parameters42 cited
    • 2017An enhanced subinterval analysis method for uncertain structural problems39 cited
    • 2014Unified response probability distribution analysis of two hybrid uncertain acoustic fields34 cited
    • 2016Collocation methods for fuzzy uncertainty propagation in heat conduction problem33 cited
    • 2015A new random interval method for response analysis of structural–acoustic system with interval random variables30 cited
    • 2018Unified polynomial expansion for interval and random response analysis of uncertain structure–acoustic system with arbitrary probability distribution29 cited
    • 2019Fuzzy identification of dynamic loads in presence of structural epistemic uncertainties29 cited
    • 2018Non-probabilistic interval process analysis of time-varying uncertain structures28 cited
    • 2022A sequential simulation strategy for response bounds analysis of structures with interval uncertainties26 cited
    • 2015Hybrid finite element/statistical energy method for mid-frequency analysis of structure−acoustic systems with interval parameters24 cited
    • 2017Cross-covariance based global dynamic sensitivity analysis22 cited
    • 2019An efficient analysis and optimization method for powertrain mounting systems involving interval uncertainty22 cited
    • 2014Change-of-variable interval stochastic perturbation method for hybrid uncertain structural-acoustic systems with random and interval variables21 cited
    • 2019Uncertainty propagation of the energy flow in vibro-acoustic system with fuzzy parameters20 cited