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A new discrepancy for sample generation in stochastic response analyses of aerospace problems with uncertain parameters
16 references·2 citing·46 second hop
A new discrepancy for sample generation in stochastic response analyses of aerospace problems with uncertain parameters (2024)A new discrepancy for sample generation i…System reliability analyses of static and dynamic structures via direct probability integral method (2021)System reliability analyses o…A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)A unified analysis framework …Structural optimization considering dynamic reliability constraints via probability density evolution method and change of probability measure (2020)Structural optimization consi…A general frame for uncertainty propagation under multimodally distributed random variables (2020)A general frame for uncertain…Quasi-Monte Carlo based uncertainty analysis: Sampling efficiency and error estimation in engineering applications (2019)Quasi-Monte Carlo based uncer…Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Direct probability integral m…Sparse grid-based polynomial chaos expansion for aerodynamics of an airfoil with uncertainties (2018)Sparse grid-based polynomial …A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)A GF-discrepancy for point se…The Stochastic Perturbation Method for Computational Mechanics (2013)The Stochastic Perturbation M…Dispersion Analysis in Hypersonic Flight During Planetary Entry Using Stochastic Liouville Equation (2011)Dispersion Analysis in Hypers…Polynomial Chaos-Based Analysis of Probabilistic Uncertainty in Hypersonic Flight Dynamics (2009)Polynomial Chaos-Based Analys…A note on the principle of preservation of probability and probability density evolution equation (2008)A note on the principle of pr…The principle of preservation of probability and the generalized density evolution equation (2006)The principle of preservation…A goodness of fit test for copulas based on Rosenblatt's transformation (2006)A goodness of fit test for co…Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Probability density evolution…Uniform Design: Theory and Application (2000)Uniform Design: Theory and Ap…Key conditional quotient of random finite element model under measurement conditions (2025)Key conditional quotient of r…Conditional uncertainty propagation of stochastic dynamical structures considering measurement conditions (2025)Conditional uncertainty propa…Probabilistic Theory of Structural Dynamics (1976)Stochastic Differential Equations: An Introduction with Applications. 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References

  • 2000Uniform Design: Theory and Application954 cited
  • 2006The principle of preservation of probability and the generalized density evolution equation517 cited
  • 2015A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters410 cited
  • 2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 cited
  • 2013The Stochastic Perturbation Method for Computational Mechanics266 cited
  • 2019Direct probability integral method for stochastic response analysis of static and dynamic structural systems201 cited
  • 2021A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method137 cited
  • 2006A goodness of fit test for copulas based on Rosenblatt's transformation131 cited
  • 2008A note on the principle of preservation of probability and probability density evolution equation126 cited
  • 2011Dispersion Analysis in Hypersonic Flight During Planetary Entry Using Stochastic Liouville Equation98 cited
  • 2019Quasi-Monte Carlo based uncertainty analysis: Sampling efficiency and error estimation in engineering applications94 cited
  • 2009Polynomial Chaos-Based Analysis of Probabilistic Uncertainty in Hypersonic Flight Dynamics91 cited
  • 2021System reliability analyses of static and dynamic structures via direct probability integral method79 cited

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  • 2020Structural optimization considering dynamic reliability constraints via probability density evolution method and change of probability measure60 cited
  • 2020A general frame for uncertainty propagation under multimodally distributed random variables54 cited
  • 2018Sparse grid-based polynomial chaos expansion for aerodynamics of an airfoil with uncertainties51 cited
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    • 2025Conditional uncertainty propagation of stochastic dynamical structures considering measurement conditions11 cited
    • 2025Key conditional quotient of random finite element model under measurement conditions10 cited