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Natural frequency and mode shape analysis of structures with uncertainty
4 references·13 citing·42 second hop
Natural frequency and mode shape analysis of structures with uncertainty (2006)Natural frequency and mode shape analysis…Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Parameter perturbation method…A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)A survey of non-probabilistic…Interval eigenvalue analysis for structures with interval parameters (2003)Interval eigenvalue analysis …Anti-optimisation of uncertain structures using interval analysis (2001)Anti-optimisation of uncertai…An interval uncertainty propagation method using polynomial chaos expansion and its application in complicated multibody dynamic systems (2021)An interval uncertainty propa…Arbitrary polynomial chaos expansion method for uncertainty quantification and global sensitivity analysis in structural dynamics (2020)Arbitrary polynomial chaos ex…A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty (2020)A polynomial chaos expansion …A New Approach for Interval Dynamic Analysis of Train-Bridge System Based on Bayesian Optimization (2020)A New Approach for Interval D…Time-variant random interval natural frequency analysis of structures (2017)Time-variant random interval …Dynamic characteristics and frequency response function for frame with dampers with uncertain design parameters (2017)Dynamic characteristics and f…Response Bounds of Elastic Structures in the Presence of Interval Uncertainties (2015)Response Bounds of Elastic St…Stochastic interval analysis of natural frequency and mode shape of structures with uncertainties (2014)Stochastic interval analysis …Robust stability analysis of structures with uncertain parameters using mathematical programming approach (2014)Robust stability analysis of …Eigenvalue problems of rotor system with uncertain parameters (2012)Eigenvalue problems of rotor …Random displacement and acceleration responses of vehicles with uncertainty (2011)Random displacement and accel…A new method for random vibration analysis of stochastic truss structures (2008)A new method for random vibra…Random seismic response analysis of truss structures with uncertain parameters (2006)Random seismic response analy…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)Probability, statistics, and decision for civil engineers (1970)An enhanced subinterval analysis method for uncertain structural problems (2017)Stochastic static analysis of Euler-Bernoulli type functionally graded structures (2017)Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach (2017)Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation (2000)Modal approaches for the stochastic finite element analysis of structures with material and geometric uncertainties (2003)Random vibration of structures (2006)Modified Interval and Subinterval Perturbation Methods for the Static Response Analysis of Structures with Interval Parameters (2013)Time-variant random interval response of concrete-filled steel tubular composite curved structures (2016)Hybrid uncertainty propagation for mechanical dynamics problems via polynomial chaos expansion and Legendre interval inclusion function (2024)Structural design under bounded uncertainty—Optimization with anti-optimization (1994)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)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)Structural Dynamics with Parameter Uncertainties (1987)Probabilistic Methods in the Theory of Structures (1984)Convex Models of Uncertainty in Applied Mechanics (1990)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)Modeling, analysis, and optimization under uncertainties: a review (2021)Factorial Sampling Plans for Preliminary Computational Experiments (1991)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global Sensitivity Analysis. The Primer (2007)Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis (2022)Static homotopy response analysis of structure with random variables of arbitrary distributions by minimizing stochastic residual error (2023)Uncertainty quantification for structural response field with ultra-high dimensions (2024)Optimal Latin-hypercube designs for computer experiments (1994)Exploratory designs for computational experiments (1995)A bivariate Chebyshev polynomials method for nonlinear dynamic systems with interval uncertainties (2021)Multiscale uncertainty propagation analysis and reliability optimization of the CFRP crossbeam of the twist beam axle (2022)Modal analysis of structures with uncertain-but-bounded parameters via interval analysis (2007)An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion (2011)Natural frequencies of structures with interval parameters (2015)A credible interval analysis method for uncertain structures under nonprobabilistic framework (2022)
this work references cited by second hop

References

  • 2004A survey of non-probabilistic uncertainty treatment in finite element analysis365 cited
  • 2005Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis190 cited
  • 2001Anti-optimisation of uncertain structures using interval analysis180 cited
  • 2003Interval eigenvalue analysis for structures with interval parameters93 cited

Cited by

  • 2020Arbitrary polynomial chaos expansion method for uncertainty quantification and global sensitivity analysis in structural dynamics81 cited
  • 2014Stochastic interval analysis of natural frequency and mode shape of structures with uncertainties46 cited
  • 2012Eigenvalue problems of rotor system with uncertain parameters42 cited
  • 2020A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty36 cited
  • 2008A new method for random vibration analysis of stochastic truss structures35 cited
  • 2021An interval uncertainty propagation method using polynomial chaos expansion and its application in complicated multibody dynamic systems34 cited
  • 2014Robust stability analysis of structures with uncertain parameters using mathematical programming approach27 cited
  • 2020A New Approach for Interval Dynamic Analysis of Train-Bridge System Based on Bayesian Optimization25 cited
  • 2006Random seismic response analysis of truss structures with uncertain parameters

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23 cited
  • 2017Time-variant random interval natural frequency analysis of structures19 cited
  • 2011Random displacement and acceleration responses of vehicles with uncertainty14 cited
  • 2015Response Bounds of Elastic Structures in the Presence of Interval Uncertainties13 cited
  • 2017Dynamic characteristics and frequency response function for frame with dampers with uncertain design parameters13 cited