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Dynamic response analysis of structure under time-variant interval process model

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References

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2012A Chebyshev interval method for nonlinear dynamic systems under uncertainty304 cited
2001Uncertainty in Mechanics Problems—Interval–Based Approach289 cited
2005Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis190 cited
2013Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems176 cited
2011Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances161 cited
2008Monte Carlo Methods for Estimating the Extreme Response of Dynamical Systems157 cited
2008Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems153 cited
2011Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis149 cited
2004On the accuracy of the polynomial chaos approximation140 cited
2010Interval analysis of structures with uncertain-but-bounded axial stiffness128 cited
2008Non-probabilistic interval analysis method for dynamic response analysis of nonlinear systems with uncertainty118 cited

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2012

Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters

106 cited

2006Interval Finite Elements as a Basis for Generalized Models of Uncertainty in Engineering Mechanics106 cited

2006Evaluation of Karhunen–Loève, Spectral, and Sampling Representations for Stochastic Processes103 cited

Cited by

2019A dynamic evolution scheme for structures with interval uncertainties by using bidirectional sequential Kriging method40 cited
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2019Non-probabilistic interval process model and method for uncertainty analysis of transient heat transfer problem37 cited
2020A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty36 cited
2017Hybrid uncertain natural frequency analysis for structures with random and interval fields35 cited
2018Time response of structure with interval and random parameters using a new hybrid uncertain analysis method31 cited
2019Fuzzy identification of dynamic loads in presence of structural epistemic uncertainties29 cited
2018Non-probabilistic interval process analysis of time-varying uncertain structures28 cited
2019Spectral stochastic isogeometric analysis of free vibration26 cited
2020Interval analysis of rotor dynamic response based on Chebyshev polynomials26 cited
2022A single-loop method for reliability-based design optimization with interval distribution parameters23 cited
2019An efficient analysis and optimization method for the powertrain mounting system with hybrid random and interval uncertainties23 cited
2017Cross-covariance based global dynamic sensitivity analysis22 cited
2018A sparse polynomial surrogate model for phononic crystals with uncertain parameters22 cited
2019Spectral stochastic isogeometric analysis for linear stability analysis of plate19 cited
2019Reliability analysis of nonlinear dynamic system with epistemic uncertainties using hybrid Kriging-HDMR18 cited