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Adaptive sub-interval perturbation-based computational strategy for epistemic uncertainty in structural dynamics with evidence theory
16 references·0 citing·38 second hop
Adaptive sub-interval perturbation-based computational strategy for epistemic uncertainty in structural dynamics with evidence theory (2018)Adaptive sub-interval perturbation-based …Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances (2011)Stochastic modeling of uncert…Random Vibrations: Analysis of Structural and Mechanical Systems (2011)Random Vibrations: Analysis o…Aleatory or epistemic? Does it matter? (2008)Aleatory or epistemic? Does i…A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory (2007)A sampling-based computationa…Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Parameter perturbation method…An approximation approach for uncertainty quantification using evidence theory (2004)An approximation approach for…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…Mathematical representation of uncertainty (2001)Mathematical representation o…Accurate and highly efficient algorithms for structural stationary/non-stationary random responses (2001)Accurate and highly efficient…Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…Fuzzy sets (1996)Fuzzy setsStochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Probabilistic finite elements for nonlinear structural dynamics (1986)Probabilistic finite elements…A mathematical theory of evidence (1977)A mathematical theory of evid…Monte Carlo solution of structural dynamics (1972)Monte Carlo solution of struc…Fuzzy sets (1965)Fuzzy setsConvex Models of Uncertainty in Applied Mechanics (1990)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Interval Monte Carlo methods for structural reliability (2010)Simulation of Multivariate and Multidimensional Random Processes (1971)Neumann Expansion for Stochastic Finite Element Analysis (1988)Simulation of Ergodic Multivariate Stochastic Processes (1996)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Probability Concepts in Engineering Planning and Design (1975)Probabilistic Theory of Structural Dynamics (1976)Random field finite elements (1986)The stochastic finite element method in structural reliability (1987)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The Logic of Scientific Discovery. (1960)Structural Reliability Methods (1996)Logic of Scientific Discovery, The (2010)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Imprecise probabilities in engineering analyses (2013)Variable importance analysis: A comprehensive review (2015)Probability, reliability and statistical methods in engineering design (1999)Epistemic uncertainty quantification techniques including evidence theory for large-scale structures (2004)Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Stochastic finite element methods for partial differential equations with random input data (2014)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Stochastic Dynamics of Marine Structures (2012)Time-dependent reliability analysis with joint upcrossing rates (2013)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)k-order additive discrete fuzzy measures and their representation (1997)A new distance between two bodies of evidence (2001)A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)Extensions of the TOPSIS for group decision-making under fuzzy environment (2000)An approach for detecting, quantifying, and visualizing the evolution of a research field: A practical application to the Fuzzy Sets Theory field (2010)Science mapping software tools: Review, analysis, and cooperative study among tools (2011)Family resemblances: Studies in the internal structure of categories (1975)Basic objects in natural categories (1976)Soft set theory—First results (1999)
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References

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  • 2008Aleatory or epistemic? Does it matter?2,450 cited
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  • 1986Probabilistic finite elements for nonlinear structural dynamics396 cited
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  • 2003Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach246 cited
  • 2004An approximation approach for uncertainty quantification using evidence theory197 cited
  • 2005Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis190 cited
  • 2001Accurate and highly efficient algorithms for structural stationary/non-stationary random responses171 cited
  • 2007A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory

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165 cited
  • 2011Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances161 cited
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