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A comprehensive study on seismic dynamic responses of stochastic structures using sparse grid-based polynomial chaos expansion
14 references·4 citing·44 second hop
A comprehensive study on seismic dynamic responses of stochastic structures using sparse grid-based polynomial chaos expansion (2024)A comprehensive study on seismic dynamic …A Kriging-based decoupled non-probability reliability-based design optimization scheme for piezoelectric PID control systems (2023)A Kriging-based decoupled non…Uncertainty quantization and reliability analysis for rotor/stator rub-impact using advanced Kriging surrogate model (2022)Uncertainty quantization and …A two-stage dimension-reduced dynamic reliability evaluation (TD-DRE) method for vibration control structures based on interval collocation and narrow bounds theories (2022)A two-stage dimension-reduced…A state-of-the-art review on uncertainty analysis of rotor systems (2022)A state-of-the-art review on …Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations (2019)Formulation of Statistical Li…Using polynomial chaos expansion for uncertainty and sensitivity analysis of bridge structures (2018)Using polynomial chaos expans…Time-dependent failure possibility analysis under consideration of fuzzy uncertainty (2018)Time-dependent failure possib…Least squares polynomial chaos expansion: A review of sampling strategies (2017)Least squares polynomial chao…Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Data-driven uncertainty quant…Aleatory or epistemic? Does it matter? (2008)Aleatory or epistemic? 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this work references cited by second hop

References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2008Aleatory or epistemic? Does it matter?2,450 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 2012Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion451 cited
  • 2003Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection333 cited
  • 2022A state-of-the-art review on uncertainty analysis of rotor systems166 cited
  • 2017Least squares polynomial chaos expansion: A review of sampling strategies157 cited
  • 2018Using polynomial chaos expansion for uncertainty and sensitivity analysis of bridge structures92 cited
  • 2022A two-stage dimension-reduced dynamic reliability evaluation (TD-DRE) method for vibration control structures based on interval collocation and narrow bounds theories75 cited
  • 2023A Kriging-based decoupled non-probability reliability-based design optimization scheme for piezoelectric PID control systems70 cited
  • 2018Time-dependent failure possibility analysis under consideration of fuzzy uncertainty54 cited
  • 2022Uncertainty quantization and reliability analysis for rotor/stator rub-impact using advanced Kriging surrogate model46 cited

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  • 2019Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations36 cited
  • Cited by

    • 2024A point mapping strategy-based sparse grid integration method for statistical moments estimation and structural reliability analysis26 cited
    • 2025A non-probabilistic reliability-based design optimization method via dimensional decomposition-aided Chebyshev metamodel19 cited
    • 2025A Review of Uncertainty Quantification Techniques for Frequency Responses of Mechanical Systems15 cited
    • 2025A random interval coupling-based active learning Kriging with meta-model importance sampling method for hybrid reliability analysis under small failure probability15 cited