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Change-of-variable interval stochastic perturbation method for hybrid uncertain structural-acoustic systems with random and interval variables
16 references·4 citing·34 second hop
Change-of-variable interval stochastic perturbation method for hybrid uncertain structural-acoustic systems with random and interval variables (2014)Change-of-variable interval stochastic pe…Interval and subinterval perturbation methods for a structural-acoustic system with interval parameters (2013)Interval and subinterval pert…Imprecise probabilities in engineering analyses (2013)Imprecise probabilities in en…Hybrid uncertain analysis for structural–acoustic problem with random and interval parameters (2013)Hybrid uncertain analysis for…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…Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Stochastic analysis of struct…Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011)Hybrid probabilistic interval…An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion (2011)An efficient methodology for …The reliability analysis of probabilistic and interval hybrid structural system (2010)The reliability analysis of p…The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system (2010)The interval estimation of re…Probabilistic interval analysis for structures with uncertainty (2010)Probabilistic interval analys…Interval analysis of structures with uncertain-but-bounded axial stiffness (2010)Interval analysis of structur…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem (2007)The static displacement and t…Interval eigenvalue analysis for structures with interval parameters (2003)Interval eigenvalue analysis …Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…Numerical convergence and error analysis for the truncated iterative generalized stochastic perturbation-based finite element method (2023)Numerical convergence and err…Uncertainty propagation of the energy flow in vibro-acoustic system with fuzzy parameters (2019)Uncertainty propagation of th…A unified model approach for probability response analysis of structure-acoustic system with random and epistemic uncertainties (2018)A unified model approach for …Application of Probabilistic and Nonprobabilistic Hybrid Reliability Analysis Based on Dynamic Substructural Extremum Response Surface Decoupling Method for a Blisk of the Aeroengine (2017)Application of Probabilistic …Convex Models of Uncertainty in Applied Mechanics (1990)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters (2012)A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)Discussions on non-probabilistic convex modelling for uncertain problems (2018)Engineering analysis with probability boxes: A review on computational methods (2021)Probabilistic Theory of Structural Dynamics (1976)Stochastic Finite Elements: A Spectral Approach (1991)Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters (2012)Reliability-based design optimization of structural systems under hybrid probabilistic and interval model (2015)A novel Interval Finite Element Method based on the improved interval analysis (2016)Fuzzy Sets and Systems - Theory and Applications (1980)Fuzzy Set Theory and Its Applications (1993)Fuzzy sets (1996)Advanced Line Sampling for efficient robust reliability analysis (2014)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey (2020)Fuzzy sets (1965)Long-Term Memory in Stock Market Prices (1991)An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis (2015)First and second order approximate reliability analysis methods using evidence theory (2015)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)An interval perturbation method for exterior acoustic field prediction with uncertain-but-bounded parameters (2014)A comparative study of two interval-random models for hybrid uncertainty propagation analysis (2019)A modified parallelepiped model for non-probabilistic uncertainty quantification and propagation analysis (2020)Estimation of small failure probabilities in high dimensions by subset simulation (2001)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Interval Monte Carlo methods for structural reliability (2010)Natural frequency and mode shape analysis of structures with uncertainty (2006)Modal analysis of structures with uncertain-but-bounded parameters via interval analysis (2007)
this work references cited by second hop

References

  • 2008The stochastic finite element method: Past, present and future999 cited
  • 2013Imprecise probabilities in engineering analyses505 cited
  • 1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
  • 2010Probabilistic interval analysis for structures with uncertainty167 cited
  • 2011Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis149 cited
  • 2011Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method140 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
  • 2013Interval and subinterval perturbation methods for a structural-acoustic system with interval parameters95 cited
  • 2003Interval eigenvalue analysis for structures with interval parameters93 cited
  • 2012Interval analysis of acoustic field with uncertain-but-bounded parameters92 cited
  • 2011An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion89 cited
  • 2010The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system80 cited

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2013
Hybrid uncertain analysis for structural–acoustic problem with random and interval parameters
62 cited
  • 2010The reliability analysis of probabilistic and interval hybrid structural system62 cited
  • 2012Modified Interval Perturbation Finite Element Method for a Structural-Acoustic System With Interval Parameters57 cited
  • Cited by

    • 2019Uncertainty propagation of the energy flow in vibro-acoustic system with fuzzy parameters20 cited
    • 2023Numerical convergence and error analysis for the truncated iterative generalized stochastic perturbation-based finite element method18 cited
    • 2018A unified model approach for probability response analysis of structure-acoustic system with random and epistemic uncertainties17 cited
    • 2017Application of Probabilistic and Nonprobabilistic Hybrid Reliability Analysis Based on Dynamic Substructural Extremum Response Surface Decoupling Method for a Blisk of the Aeroengine16 cited