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A mode-based meta-model for the frequency response functions of uncertain structural systems
14 references·16 citing·43 second hop
A mode-based meta-model for the frequency response functions of uncertain structural systems (2009)A mode-based meta-model for the frequency…The use of kernel densities and confidence intervals to cope with insufficient data in validation experiments (2008)The use of kernel densities a…Uncertainty in structural dynamics (2005)Uncertainty in structural dyn…Uncertainty Assessment of Large Finite Element Systems (2005)Uncertainty Assessment of Lar…Info-gap robust design with load and model uncertainties (2005)Info-gap robust design with l…Assessment of uncertainty on structural dynamic responses with the short transformation method (2005)Assessment of uncertainty on …A fuzzy finite element procedure for the calculation of uncertain frequency-response functions of damped structures: Part 1—Procedure (2005)A fuzzy finite element proced…A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part 2—Numerical case studies (2005)A fuzzy finite element proced…A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics (2005)A comprehensive overview of a…A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)A survey of non-probabilistic…Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties (2001)Computational procedure for a…A LOCAL MODAL/PERTURBATIONAL METHOD FOR ESTIMATING FREQUENCY RESPONSE STATISTICS OF BUILT-UP STRUCTURES WITH UNCERTAIN PROPERTIES (2001)A LOCAL MODAL/PERTURBATIONAL …A methodology for fitting and validating metamodels in simulation1Two anonymous referees' comments on the first draft lead to an improved organization of our paper.1 (2000)A methodology for fitting and…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Design and Analysis of Computer Experiments (1989)Design and Analysis of Comput…A Review of Uncertainty Quantification Techniques for Frequency Responses of Mechanical Systems (2025)A Review of Uncertainty Quant…Orthogonal spline expansions for uncertainty quantification in linear dynamical systems (2021)Orthogonal spline expansions …Data-driven modal surrogate model for frequency response uncertainty propagation (2021)Data-driven modal surrogate m…Uncertainty propagation in dynamics of composite plates: A semi-analytical non-sampling-based approach (2020)Uncertainty propagation in dy…Uncertainty propagation in dynamic sub-structuring by model reduction integrated domain decomposition (2020)Uncertainty propagation in dy…Identifying Stochastic Frequency Response Functions Using Real-Time Hybrid Substructuring, Principal Component Analysis, and Kriging Metamodeling (2020)Identifying Stochastic Freque…A mode tracking method in modal metamodeling for structures with clustered eigenvalues (2020)A mode tracking method in mod…Phase driven study for stochastic linear multi-dofs dynamic response (2019)Phase driven study for stocha…Surrogate modelling for stochastic dynamical systems by combining NARX models and polynomial chaos expansions (2016)Surrogate modelling for stoch…Polynomial chaos‐based extended Padé expansion in structural dynamics (2016)Polynomial chaos‐based extend…A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems (2013)A hybrid spectral and metamod…Hybrid perturbation-Polynomial Chaos approaches to the random algebraic eigenvalue problem (2012)Hybrid perturbation-Polynomia…Optimisation fiabiliste des structures : méthodes et applications au contrôle des vibrations (2011)Optimisation fiabiliste des s…On the treatment of finite element structures in stochastic linear dynamics using a mode-based meta-model (2010)On the treatment of finite el…Model Reduction and Uncertainties in Structural Dynamics (2010)Model Reduction and Uncertain…A reduced-order random matrix approach for stochastic structural dynamics (2010)A reduced-order random matrix…Comparing Predictive Accuracy (1994)Comparing Predictive Accuracy (1995)An overview of the design and analysis of simulation experiments for sensitivity analysis (2004)State-of-the-Art Review: A User’s Guide to the Brave New World of Designing Simulation Experiments (2005)Kriging Metamodeling in Simulation: A Review (2007)Simulation and the Monte Carlo Method (1981)Response variance prediction for uncertain vibro-acoustic systems using a hybrid deterministic-statistical method (2007)Stochastic Models of Uncertainties in Computational Mechanics (2012)Uncertainty quantification through the Monte Carlo method in a cloud computing setting (2014)Simulation and the Monte Carlo Method (2016)Fuzzy sets (1965)A mathematical theory of evidence (1977)Fuzzy sets (1996)Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)Finite Element Methods in Probabilistic Structural Analysis: A Selective Review (1988)Interval and fuzzy dynamic analysis of finite element models with superelements (2007)The component mode transformation method: A fast implementation of fuzzy arithmetic for uncertainty management in structural dynamics (2007)Uncertainty quantification in structural dynamic analysis using two-level Gaussian processes and Bayesian inference (2017)Design of Experiments (1936)On a Measure of the Information Provided by an Experiment (1956)Minimax and maximin distance designs (1990)Variance based sensitivity analysis of model output. 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References

  • 1989Design and Analysis of Computer Experiments6,958 cited
  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
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  • 2004A survey of non-probabilistic uncertainty treatment in finite element analysis365 cited
  • 2005A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics229 cited
  • 2005Uncertainty Assessment of Large Finite Element Systems135 cited
  • 2005Uncertainty in structural dynamics106 cited
  • 2005A fuzzy finite element procedure for the calculation of uncertain frequency-response functions of damped structures: Part 1—Procedure96 cited
  • 2005Info-gap robust design with load and model uncertainties76 cited
  • 2001A LOCAL MODAL/PERTURBATIONAL METHOD FOR ESTIMATING FREQUENCY RESPONSE STATISTICS OF BUILT-UP STRUCTURES WITH UNCERTAIN PROPERTIES66 cited
  • 2001Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties62 cited
  • 2005Assessment of uncertainty on structural dynamic responses with the short transformation method55 cited
  • 2005A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part 2—Numerical case studies

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50 cited
  • 2008The use of kernel densities and confidence intervals to cope with insufficient data in validation experiments41 cited
  • Cited by

    • 2013A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems35 cited
    • 2012Hybrid perturbation-Polynomial Chaos approaches to the random algebraic eigenvalue problem33 cited
    • 2016Polynomial chaos‐based extended Padé expansion in structural dynamics26 cited
    • 2020Uncertainty propagation in dynamic sub-structuring by model reduction integrated domain decomposition21 cited
    • 2020A mode tracking method in modal metamodeling for structures with clustered eigenvalues20 cited
    • 2021Data-driven modal surrogate model for frequency response uncertainty propagation17 cited
    • 2025A Review of Uncertainty Quantification Techniques for Frequency Responses of Mechanical Systems15 cited
    • 2020Identifying Stochastic Frequency Response Functions Using Real-Time Hybrid Substructuring, Principal Component Analysis, and Kriging Metamodeling14 cited
    • 2016Surrogate modelling for stochastic dynamical systems by combining NARX models and polynomial chaos expansions10 cited
    • 2021Orthogonal spline expansions for uncertainty quantification in linear dynamical systems9 cited
    • 2010A reduced-order random matrix approach for stochastic structural dynamics9 cited
    • 2020Uncertainty propagation in dynamics of composite plates: A semi-analytical non-sampling-based approach9 cited
    • 2010On the treatment of finite element structures in stochastic linear dynamics using a mode-based meta-model8 cited
    • 2010Model Reduction and Uncertainties in Structural Dynamics7 cited
    • 2011Optimisation fiabiliste des structures : méthodes et applications au contrôle des vibrations6 cited
    • 2019Phase driven study for stochastic linear multi-dofs dynamic response5 cited