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A novel iterative algorithm for natural frequency analysis of FG thin plates under interval uncertainty
10 references·1 citing·39 second hop
A novel iterative algorithm for natural frequency analysis of FG thin plates under interval uncertainty (2019)A novel iterative algorithm for natural f…An iteration method for predicting static response of nonlinear structural systems with non-deterministic parameters (2018)An iteration method for predi…Stochastic static analysis of Euler-Bernoulli type functionally graded structures (2017)Stochastic static analysis of…Stochastic finite element method for free vibration characteristics of random FGM beams (2016)Stochastic finite element met…Interval prediction of responses for uncertain multidisciplinary system (2016)Interval prediction of respon…A direct probabilistic approach to solve state equations for nonlinear systems under random excitation (2016)A direct probabilistic approa…UNCERTAIN BUCKLING AND RELIABILITY ANALYSIS OF THE PIEZOELECTRIC FUNCTIONALLY GRADED CYLINDRICAL SHELLS BASED ON THE NONPROBABILISTIC CONVEX MODEL (2013)UNCERTAIN BUCKLING AND RELIAB…Interval finite element method for dynamic response of closed‐loop system with uncertain parameters (2006)Interval finite element metho…Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Parameter perturbation method…Interval finite element method for beam structures (2000)Interval finite element metho…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …Vertex combination approach for uncertainty propagation analysis in spacecraft structural system with complex eigenvalue (2020)Vertex combination approach f…Interval static displacement analysis for structures with interval parameters (2001)Interval eigenvalue analysis for structures with interval parameters (2003)The time response of structures with bounded parameters and interval initial conditions (2009)RESPONSE STATISTICS OF LINEAR STRUCTURES WITH UNCERTAIN-BUT-BOUNDED PARAMETERS UNDER GAUSSIAN STOCHASTIC INPUT (2011)Interval analysis for uncertain aerodynamic loads with uncertain-but-bounded parameters (2018)Probabilistic Methods in the Theory of Structures (1984)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)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)Uncertain buckling: its past, present and future (2000)Convex models and interval analysis method to predict the effect of uncertain-but-bounded parameters on the buckling of composite structures (2004)Stochastic simulation of non-Gaussian/non-stationary properties in a functionally graded plate (2004)A Hybrid Reliability-Based Design Optimization Approach with Adaptive Chaos Control Using Kriging Model (2015)Multi-objective uncertain optimization with an ellipsoid-based model of a centrally symmetrical square tube with diaphragms for subways (2021)Stochastic Finite element analysis of the free vibration of functionally graded material plates (2008)Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach (2017)Dimension-reduced probabilistic approach of 3-D wind field for wind-induced response analysis of transmission tower (2019)Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method (2021)Simulation of Multivariate and Multidimensional Random Processes (1971)Transient thermal analysis of thin-walled space structures with material uncertainties subjected to solar heat flux (2018)A non-probabilistic concept of reliability (1994)Methods of structural safety (2006)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Efficient strategy for reliability-based optimization design of multidisciplinary coupled system with interval parameters (2019)Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011)Hybrid uncertain static analysis with random and interval fields (2016)Robust free vibration analysis of functionally graded structures with interval uncertainties (2018)Spectral stochastic isogeometric analysis for static response of FGM plate with material uncertainty (2018)Spectral stochastic isogeometric analysis of free vibration (2019)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Structural Reliability Analysis and Prediction (2017)Unknown-but-bounded uncertainty propagation in spacecraft structural system: Interval reduced basis method and its integrated framework (2019)Interval static analysis of multi-cracked beams with uncertain size and position of cracks (2020)A credible interval analysis method for uncertain structures under nonprobabilistic framework (2022)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Interval optimization of dynamic response for structures with interval parameters (2003)Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters (2012)Interval field model and interval finite element analysis (2019)
this work references cited by second hop

References

  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 2005Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis190 cited
  • 2000Interval finite element method for beam structures91 cited
  • 2016Stochastic finite element method for free vibration characteristics of random FGM beams45 cited
  • 2017Stochastic static analysis of Euler-Bernoulli type functionally graded structures40 cited
  • 2006Interval finite element method for dynamic response of closed‐loop system with uncertain parameters33 cited
  • 2018An iteration method for predicting static response of nonlinear structural systems with non-deterministic parameters22 cited
  • 2016Interval prediction of responses for uncertain multidisciplinary system18 cited
  • 2016A direct probabilistic approach to solve state equations for nonlinear systems under random excitation16 cited
  • 2013UNCERTAIN BUCKLING AND RELIABILITY ANALYSIS OF THE PIEZOELECTRIC FUNCTIONALLY GRADED CYLINDRICAL SHELLS BASED ON THE NONPROBABILISTIC CONVEX MODEL15 cited

Cited by

  • 2020Vertex combination approach for uncertainty propagation analysis in spacecraft structural system with complex eigenvalue10 cited

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