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A fuzzy finite element procedure for the calculation of uncertain frequency-response functions of damped structures: Part 1—Procedure
8 references·16 citing·31 second hop
A fuzzy finite element procedure for the calculation of uncertain frequency-response functions of damped structures: Part 1—Procedure (2005)A fuzzy finite element procedure for the …Simulation and the Monte Carlo Method (2016)Simulation and the Monte Carl…A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)A survey of non-probabilistic…Reliability Assessment Using Stochastic Finite Element Analysis (2001)Reliability Assessment Using …Mathematical representation of uncertainty (2001)Mathematical representation o…Reliability Assessment Using Stochastic Finite Element Analysis (2000)Reliability Assessment Using …Fuzzy sets (1996)Fuzzy setsSimulation and the Monte Carlo Method (1981)Simulation and the Monte Carl…Fuzzy sets (1965)Fuzzy setsUnified polynomial expansion for interval and random response analysis of uncertain structure–acoustic system with arbitrary probability distribution (2018)Unified polynomial expansion …Hybrid uncertainty propagation in 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this work references cited by second hop

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Cited by

  • 2007Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures90 cited
  • 2014Analytical uncertainty quantification for modal frequencies with structural parameter uncertainty using a Gaussian process metamodel75 cited
  • 2012The vibro-acoustic analysis of built-up systems using a hybrid method with parametric and non-parametric uncertainties73 cited
  • 2007A response surface based optimisation algorithm for the calculation of fuzzy envelope FRFs of models with uncertain properties71 cited
  • 2013A spectral approach for fuzzy uncertainty propagation in finite element analysis57 cited
  • 2015Polynomial chaos expansion with random and fuzzy variables52 cited

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2012
Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation
49 cited
  • 2007Interval and fuzzy dynamic analysis of finite element models with superelements47 cited
  • 2017Hybrid uncertainty propagation in structural-acoustic systems based on the polynomial chaos expansion and dimension-wise analysis45 cited
  • 2012Fuzzy parametric uncertainty analysis of linear dynamical systems: A surrogate modeling approach44 cited
  • 2007The component mode transformation method: A fast implementation of fuzzy arithmetic for uncertainty management in structural dynamics40 cited
  • 2009A mode-based meta-model for the frequency response functions of uncertain structural systems39 cited
  • 2016Uncertainty quantification in computational linear structural dynamics for viscoelastic composite structures37 cited
  • 2016Fuzzy interval Finite Element/Statistical Energy Analysis for mid-frequency analysis of built-up systems with mixed fuzzy and interval parameters36 cited
  • 2018Unified polynomial expansion for interval and random response analysis of uncertain structure–acoustic system with arbitrary probability distribution29 cited
  • 2010Finite element analysis with uncertain probabilities28 cited