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Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach
16 references·14 citing·38 second hop
Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach (2017)Uncertainty analysis for structures with …A new uncertain analysis method and its application in vehicle dynamics (2014)A new uncertain analysis meth…The Stochastic Perturbation Method for Computational Mechanics (2013)The Stochastic Perturbation M…Imprecise probabilities in engineering analyses (2013)Imprecise probabilities in en…A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)A Chebyshev interval method f…Structural reliability analysis based on random distributions with interval parameters (2011)Structural reliability analys…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…Probabilistic interval analysis for structures with uncertainty (2010)Probabilistic interval analys…Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Engineering computation under…Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007)Assessment of spectral repres…Generalized perturbation-based stochastic finite element method in elastostatics (2006)Generalized perturbation-base…A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters (2002)A new approach for the stocha…Structural reliability analyis of elastic-plastic structures using neural networks and Monte Carlo simulation (1996)Structural reliability analyi…The stochastic finite element method: basic perturbation technique and computer implementation (1993)The stochastic finite element…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Monte Carlo solution of structural dynamics (1972)Monte Carlo solution of struc…Hybrid uncertainty propagation for mechanical dynamics problems via polynomial chaos expansion and Legendre interval inclusion function (2024)Hybrid uncertainty propagatio…Polyphase uncertainty analysis through virtual modelling technique (2021)Polyphase uncertainty analysi…A copula-based uncertainty propagation method for structures with correlated parametric p-boxes (2021)A copula-based uncertainty pr…Robust optimization of engineering structures involving hybrid probabilistic and interval uncertainties (2020)Robust optimization of engine…Reliability-based design optimization for the lattice boom of crawler crane (2020)Reliability-based design opti…An efficient hybrid reliability analysis method for structures involving random and interval variables (2020)An efficient hybrid reliabili…A new stochastic isogeometric analysis method based on reduced basis vectors for engineering structures with random field uncertainties (2020)A new stochastic isogeometric…Tolerance analysis and evaluation of uncertain automatic battery replacement system (2019)Tolerance analysis and evalua…Sealing reliability modeling of aviation seal based on interval uncertainty method and multidimensional response surface (2019)Sealing reliability modeling …Dynamic response analysis of structure with hybrid random and interval uncertainties (2019)Dynamic response analysis of …Time response of structure with interval and random parameters using a new hybrid uncertain analysis method (2018)Time response of structure wi…Robust free vibration analysis of functionally graded structures with interval uncertainties (2018)Robust free vibration analysi…An efficient robust optimization method with random and interval uncertainties (2018)An efficient robust optimizat…A unified model approach for probability response analysis of structure-acoustic system with random and epistemic uncertainties (2018)A unified model approach for …Fuzzy sets (1965)Fuzzy sets (1996)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Hybrid uncertain static analysis with random and interval fields (2016)Response analysis of an accelerating unbalanced rotating system with both random and interval variables (2019)A state-of-the-art review on uncertainty analysis of rotor systems (2022)Convex Models of Uncertainty in Applied Mechanics (1990)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Robust optimization – A comprehensive survey (2007)A new interval uncertain optimization method for structures using Chebyshev surrogate models (2014)Neural-network-based reliability analysis: a comparative study (2001)Methods of structural safety (2006)Structural reliability analysis using Monte Carlo simulation and neural networks (2007)Simulation and the Monte Carlo Method (2016)Structural Reliability Analysis and Prediction (2017)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Fuzzy Sets and Systems - Theory and Applications (1980)Fuzzy Set Theory and Its Applications (1993)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)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)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)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Structural reliability assessment based on probability and convex set mixed model (2009)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)Current research trends and application areas of fuzzy and hybrid methods to the risk assessment of construction projects (2017)An efficient method for parametric uncertainty analysis of numerical geophysical models (1997)Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications (2015)Time-variant reliability assessment for multiple failure modes and temporal parameters (2018)An efficient Kriging based method for time-dependent reliability based robust design optimization via evolutionary algorithm (2020)
this work references cited by second hop

References

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  • 1972Monte Carlo solution of structural dynamics629 cited
  • 2013Imprecise probabilities in engineering analyses505 cited
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  • 2012A Chebyshev interval method for nonlinear dynamic systems under uncertainty304 cited
  • 2007Engineering computation under uncertainty – Capabilities of non-traditional models290 cited
  • 1996Structural reliability analyis of elastic-plastic structures using neural networks and Monte Carlo simulation272 cited
  • 2013The Stochastic Perturbation Method for Computational Mechanics266 cited
  • 2010Probabilistic interval analysis for structures with uncertainty167 cited
  • 2014A new uncertain analysis method and its application in vehicle dynamics166 cited
  • 2011Structural reliability analysis based on random distributions with interval parameters165 cited
  • 2006Generalized perturbation-based stochastic finite element method in elastostatics164 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

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  • 2002A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters138 cited
  • 2007Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields126 cited
  • Cited by

    • 2018Time response of structure with interval and random parameters using a new hybrid uncertain analysis method31 cited
    • 2019Tolerance analysis and evaluation of uncertain automatic battery replacement system28 cited
    • 2018Robust free vibration analysis of functionally graded structures with interval uncertainties28 cited
    • 2019Sealing reliability modeling of aviation seal based on interval uncertainty method and multidimensional response surface27 cited
    • 2021Polyphase uncertainty analysis through virtual modelling technique27 cited
    • 2020Robust optimization of engineering structures involving hybrid probabilistic and interval uncertainties25 cited
    • 2018An efficient robust optimization method with random and interval uncertainties24 cited
    • 2020Reliability-based design optimization for the lattice boom of crawler crane22 cited
    • 2024Hybrid uncertainty propagation for mechanical dynamics problems via polynomial chaos expansion and Legendre interval inclusion function21 cited
    • 2020An efficient hybrid reliability analysis method for structures involving random and interval variables21 cited
    • 2020A new stochastic isogeometric analysis method based on reduced basis vectors for engineering structures with random field uncertainties20 cited
    • 2021A copula-based uncertainty propagation method for structures with correlated parametric p-boxes18 cited
    • 2018A unified model approach for probability response analysis of structure-acoustic system with random and epistemic uncertainties17 cited
    • 2019Dynamic response analysis of structure with hybrid random and interval uncertainties13 cited