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Overestimation Analysis of Interval Finite Element for Structural Dynamic Response
16 references·0 citing·39 second hop
Overestimation Analysis of Interval Finite Element for Structural Dynamic Response (2019)Overestimation Analysis of Interval Finit…Dynamic Analysis of Uncertain Structures Using an Interval-Wave Approach (2018)Dynamic Analysis of Uncertain…Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters (2012)Modified sub-interval perturb…Modified Interval Perturbation Finite Element Method for a Structural-Acoustic System With Interval Parameters (2012)Modified Interval Perturbatio…Interval analysis of acoustic field with uncertain-but-bounded parameters (2012)Interval analysis of acoustic…RESPONSE STATISTICS OF LINEAR STRUCTURES WITH UNCERTAIN-BUT-BOUNDED PARAMETERS UNDER GAUSSIAN STOCHASTIC INPUT (2011)RESPONSE STATISTICS OF LINEAR…Interval analysis of dynamic response of structures using Laplace transform (2011)Interval analysis of dynamic …A new interval finite element formulation with the same accuracy in primary and derived variables (2011)A new interval finite element…The time response of structures with bounded parameters and interval initial conditions (2009)The time response of structur…Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Parameter perturbation method…Interval optimization of dynamic response for structures with interval parameters (2003)Interval optimization of dyna…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…Dynamic response analysis for structures with interval parameters (2002)Dynamic response analysis for…Development of interval based methods for fuzziness in continuum-mechanics (2002)Development of interval based…Uncertainty in Mechanics Problems—Interval–Based Approach (2001)Uncertainty in Mechanics Prob…ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS (2001)ANALYSIS OF MECHANICAL SYSTEM…Bounds of Structural Response for All Possible Loading Combinations (1999)Bounds of Structural Response…Interval Algebra to Deal with Pattern Loading and Structural Uncertainties (1995)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)A unified response surface framework for the interval and stochastic finite element analysis of structures with uncertain parameters (2017)An improved method for fuzzy–interval uncertainty analysis and its application in brake instability study (2018)A sequential simulation strategy for response bounds analysis of structures with interval uncertainties (2022)Convex Models of Uncertainty in Applied Mechanics (1990)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)A new hybrid uncertain analysis method for structural-acoustic systems with random and interval parameters (2016)Dynamic response analysis of structure under time-variant interval process model (2016)Interval and random analysis for structure–acoustic systems with large uncertain-but-bounded parameters (2016)Fuzzy sets (1965)Fuzzy sets (1996)The stochastic finite element method: Past, present and future (2008)Collocation methods for uncertain heat convection-diffusion problem with interval input parameters (2016)Novel fuzzy reliability analysis for heat transfer system based on interval ranking method (2017)An uncertainty model of acoustic metamaterials with random parameters (2018)Polynomial Chaos in Stochastic Finite Elements (1990)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)Stochastic Finite Elements: A Spectral Approach (1991)An interval finite element approach for the calculation of envelope frequency response functions (2004)Interval Finite Elements as a Basis for Generalized Models of Uncertainty in Engineering Mechanics (2006)Probabilistic Methods in the Theory of Structures (1984)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)Interval finite element method for beam structures (2000)Interval static displacement analysis for structures with interval parameters (2001)Reliability Assessment with Fuzzy Random Variables Using Interval Monte Carlo Simulation (2013)Basic Framework and Main Methods of Uncertainty Quantification (2020)Practical fuzzy finite element analysis of structures (2001)Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures (2007)An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion (2011)Hybrid uncertain analysis for structural–acoustic problem with random and interval parameters (2013)Hybrid uncertain analysis for steady-state heat conduction with random and interval parameters (2014)Interval finite element analysis and reliability-based optimization of coupled structural-acoustic system with uncertain parameters (2014)Interval Monte Carlo methods for structural reliability (2010)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)
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References

  • 2001Uncertainty in Mechanics Problems—Interval–Based Approach289 cited
  • 2003Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach246 cited
  • 2005Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis190 cited
  • 2001ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS111 cited
  • 2012Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters106 cited
  • 1999Bounds of Structural Response for All Possible Loading Combinations103 cited
  • 2012Interval analysis of acoustic field with uncertain-but-bounded parameters92 cited
  • 2003Interval optimization of dynamic response for structures with interval parameters81 cited
  • 2012Modified Interval Perturbation Finite Element Method for a Structural-Acoustic System With Interval Parameters57 cited
  • 2011A new interval finite element formulation with the same accuracy in primary and derived variables41 cited
  • 2002Development of interval based methods for fuzziness in continuum-mechanics35 cited
  • 2002Dynamic response analysis for structures with interval parameters33 cited
  • 2011RESPONSE STATISTICS OF LINEAR STRUCTURES WITH UNCERTAIN-BUT-BOUNDED PARAMETERS UNDER GAUSSIAN STOCHASTIC INPUT

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31 cited
  • 2009The time response of structures with bounded parameters and interval initial conditions28 cited
  • 2011Interval analysis of dynamic response of structures using Laplace transform23 cited
  • 2018Dynamic Analysis of Uncertain Structures Using an Interval-Wave Approach19 cited
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