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An interval finite element approach for the calculation of envelope frequency response functions
11 references·16 citing·30 second hop
An interval finite element approach for the calculation of envelope frequency response functions (2004)An interval finite element approach for t…Reliability Assessment Using Stochastic Finite Element Analysis (2001)Reliability Assessment Using …Mathematical representation of uncertainty (2001)Mathematical representation o…Anti-optimisation of uncertain structures using interval analysis (2001)Anti-optimisation of uncertai…ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS (2001)ANALYSIS OF MECHANICAL SYSTEM…Reliability Assessment Using Stochastic Finite Element Analysis (2000)Reliability Assessment Using …Bounds of Structural Response for All Possible Loading Combinations (1999)Bounds of Structural Response…Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Analysis of Uncertain Structu…Fuzzy sets (1996)Fuzzy setsInterval Algebra to Deal with Pattern Loading and Structural Uncertainties (1995)Interval Algebra to Deal with…Simulation and the Monte Carlo Method (1981)Simulation and the Monte Carl…Fuzzy sets (1965)Fuzzy setsA sequential simulation strategy for response bounds analysis of structures with interval uncertainties (2022)A sequential simulation strat…Non-probabilistic uncertainty quantification for dynamic characterization functions using complex ratio interval arithmetic operation of multidimensional parallelepiped model (2021)Non-probabilistic uncertainty…Interval analysis of rotor dynamic response based on Chebyshev polynomials (2020)Interval analysis of rotor dy…Bounding the first excursion probability of linear structures subjected to imprecise stochastic loading (2020)Bounding the first excursion …A comparative study of two interval-random models for hybrid uncertainty propagation analysis (2019)A comparative study of two in…Uncertain static plane stress analysis with interval fields (2016)Uncertain static plane stress…Interval analysis of rotor dynamic response with uncertain parameters (2013)Interval analysis of rotor dy…Explicit frequency response functions of discretized structures with uncertain parameters (2013)Explicit frequency response f…Optimisation study of a vehicle bumper subsystem with fuzzy parameters (2012)Optimisation study of a vehic…Hybrid uncertain analysis of acoustic field with interval random parameters (2012)Hybrid uncertain analysis of …An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion (2011)An efficient methodology for …Transient response of structures with uncertain structural parameters (2010)Transient response of structu…Finite element analysis with uncertain probabilities (2010)Finite element analysis with …Interval and fuzzy dynamic analysis of finite element models with superelements (2007)Interval and fuzzy dynamic an…A response surface based optimisation algorithm for the calculation of fuzzy envelope FRFs of models with uncertain properties (2007)A response surface based opti…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…Convex Models of Uncertainty in Applied Mechanics (1990)Interval Finite Elements as a Basis for Generalized Models of Uncertainty in Engineering Mechanics (2006)Structural design under bounded uncertainty—Optimization with anti-optimization (1994)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem (2007)Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Stochastic Finite Elements: A Spectral Approach (1991)Calculating frequency 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analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)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)A New Study on Reliability-Based Design Optimization (1999)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Comparison of response surface and neural network with other methods for structural reliability analysis (2003)
this work references cited by second hop

References

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  • 1981Simulation and the Monte Carlo Method2,402 cited
  • 2000Reliability Assessment Using Stochastic Finite Element Analysis524 cited
  • 2001Reliability Assessment Using Stochastic Finite Element Analysis472 cited
  • 1997Analysis of Uncertain Structural Systems Using Interval Analysis423 cited
  • 2001Mathematical representation of uncertainty289 cited
  • 2001Anti-optimisation of uncertain structures using interval analysis180 cited
  • 1995Interval Algebra to Deal with Pattern Loading and Structural Uncertainties111 cited
  • 2001ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS111 cited
  • 1999Bounds of Structural Response for All Possible Loading Combinations103 cited

Cited by

  • 2011An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion89 cited
  • 2007A response surface based optimisation algorithm for the calculation of fuzzy envelope FRFs of models with uncertain properties71 cited
  • 2013Interval analysis of rotor dynamic response with uncertain parameters69 cited
  • 2019

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A comparative study of two interval-random models for hybrid uncertainty propagation analysis
52 cited
  • 2005A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part 2—Numerical case studies50 cited
  • 2020Bounding the first excursion probability of linear structures subjected to imprecise stochastic loading49 cited
  • 2007Interval and fuzzy dynamic analysis of finite element models with superelements47 cited
  • 2013Explicit frequency response functions of discretized structures with uncertain parameters46 cited
  • 2016Uncertain static plane stress analysis with interval fields44 cited
  • 2012Hybrid uncertain analysis of acoustic field with interval random parameters43 cited
  • 2010Transient response of structures with uncertain structural parameters32 cited
  • 2010Finite element analysis with uncertain probabilities28 cited
  • 2021Non-probabilistic uncertainty quantification for dynamic characterization functions using complex ratio interval arithmetic operation of multidimensional parallelepiped model27 cited
  • 2012Optimisation study of a vehicle bumper subsystem with fuzzy parameters27 cited
  • 2022A sequential simulation strategy for response bounds analysis of structures with interval uncertainties26 cited
  • 2020Interval analysis of rotor dynamic response based on Chebyshev polynomials26 cited