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Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties
13 references·4 citing·28 second hopsampled
Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties (2022)Nonlinear vibrations of a rotor with supp…Statistical moment analysis of nonlinear rotor system with multi uncertain variables (2018)Statistical moment analysis o…Non-linear vibrations of a beam with non-ideal boundary conditions and uncertainties – Modeling, numerical simulations and experiments (2018)Non-linear vibrations of a be…Dynamic response analysis of an overhung rotor with interval uncertainties (2017)Dynamic response analysis of …Uncertainty propagation for nonlinear vibrations: A non-intrusive approach (2016)Uncertainty propagation for n…Stochastic non-linear response of a flexible rotor with local non-linearities (2015)Stochastic non-linear respons…Influence of Polynomial Chaos expansion order on an uncertain asymmetric rotor system response (2014)Influence of Polynomial Chaos…Nonlinear vibrations of a mechanical system with non-regular nonlinearities and uncertainties (2013)Nonlinear vibrations of a mec…Piecewise polynomial chaos expansion with an application to brake squeal of a linear brake system (2012)Piecewise polynomial chaos ex…Multi-Dimensional Harmonic Balance With Uncertainties Applied to Rotor Dynamics (2012)Multi-Dimensional Harmonic Ba…A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)A Chebyshev interval method f…Study of the non-linear dynamic response of a rotor system with faults and uncertainties (2011)Study of the non-linear dynam…Analysing the dynamic response of a rotor system under uncertain parameters by polynomial chaos expansion (2011)Analysing the dynamic respons…Some observations on uncertainty propagation through a simple nonlinear system (2005)Some observations on uncertai…A Review of Uncertainty Quantification Techniques for Frequency Responses of Mechanical Systems (2025)A Review of Uncertainty Quant…An efficient uncertainty propagation method for nonlinear dynamics with distribution-free P-box processes (2024)An efficient uncertainty prop…Non-intrusive frequency response analysis of nonlinear systems with interval uncertainty: A comparative study (2022)Non-intrusive frequency respo…A non-intrusive frequency normalisation approach for uncertain response analysis of nonlinear dynamic systems (2022)A non-intrusive frequency nor…Stochastic Finite Elements: A Spectral Approach (1991)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Polynomial chaos expansion in structural dynamics: Accelerating the convergence of the first two statistical moment sequences (2015)Polynomial chaos expansion with random and fuzzy variables (2015)Finite Element Methods in Probabilistic Structural Analysis: A Selective Review (1988)Neumann Expansion for Stochastic Finite Element Analysis (1988)Steady-state response analysis of cracked rotors with uncertain‑but‑bounded parameters using a polynomial surrogate method (2018)Convex Models of Uncertainty in Applied Mechanics (1990)Robust optimization – A comprehensive survey (2007)A new interval uncertain optimization method for structures using Chebyshev surrogate models (2014)A new uncertain analysis method and its application in vehicle dynamics (2014)A state-of-the-art review on uncertainty analysis of rotor systems (2022)Fuzzy sets (1965)Fuzzy sets (1996)Structural Reliability Analysis and Prediction (2017)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Surrogate modeling for dynamic analysis of an uncertain notched rotor system and roles of Chebyshev parameters (2022)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Uncertain Frequency Responses of Clamp-Pipeline Systems Using an Interval-Based Method (2020)Dynamic analysis of Jeffcott rotor under uncertainty based on Chebyshev convex method (2021)Uncertainty quantification techniques applied to rotating systems: A comparative study (2017)Nonlinear stochastic dynamics of a rub-impact rotor system with probabilistic uncertainties (2020)Statistics of complex eigenvalues in friction-induced vibration (2014)Sensitivity analysis and Kriging based models for robust stability analysis of brake systems (2015)Optimization design of a disc brake system with hybrid uncertainties (2016)Uncertainty analysis of a flexible rotor supported by fluid film bearings (2015)
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References

  • 2012A Chebyshev interval method for nonlinear dynamic systems under uncertainty304 cited
  • 2011Study of the non-linear dynamic response of a rotor system with faults and uncertainties94 cited
  • 2012Piecewise polynomial chaos expansion with an application to brake squeal of a linear brake system91 cited
  • 2011Analysing the dynamic response of a rotor system under uncertain parameters by polynomial chaos expansion70 cited
  • 2015Stochastic non-linear response of a flexible rotor with local non-linearities69 cited
  • 2014Influence of Polynomial Chaos expansion order on an uncertain asymmetric rotor system response68 cited
  • 2013Nonlinear vibrations of a mechanical system with non-regular nonlinearities and uncertainties58 cited
  • 2017Dynamic response analysis of an overhung rotor with interval uncertainties50 cited
  • 2005Some observations on uncertainty propagation through a simple nonlinear system34 cited
  • 2016Uncertainty propagation for nonlinear vibrations: A non-intrusive approach33 cited
  • 2018Non-linear vibrations of a beam with non-ideal boundary conditions and uncertainties – Modeling, numerical simulations and experiments30 cited
  • 2012Multi-Dimensional Harmonic Balance With Uncertainties Applied to Rotor Dynamics30 cited
  • 2018Statistical moment analysis of nonlinear rotor system with multi uncertain variables27 cited

Cited by

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  • 2022Non-intrusive frequency response analysis of nonlinear systems with interval uncertainty: A comparative study22 cited
  • 2025A Review of Uncertainty Quantification Techniques for Frequency Responses of Mechanical Systems15 cited
  • 2022A non-intrusive frequency normalisation approach for uncertain response analysis of nonlinear dynamic systems11 cited
  • 2024An efficient uncertainty propagation method for nonlinear dynamics with distribution-free P-box processes10 cited