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An improved solution of the probability density evolution equation for analyzing stochastic structural responses with adaptive time steps and initial conditions
16 references·0 citing·43 second hop
An improved solution of the probability density evolution equation for analyzing stochastic structural responses with adaptive time steps and initial conditions (2024)An improved solution of the probability d…Numerical convergence and error analysis for the truncated iterative generalized stochastic perturbation-based finite element method (2023)Numerical convergence and err…An adaptive divided-difference perturbation method for solving stochastic problems (2023)An adaptive divided-differenc…Comparison of PDEM and MCS: Accuracy and efficiency (2022)Comparison of PDEM and MCS: A…Surrogate modeling immersed probability density evolution method for structural reliability analysis in high dimensions (2020)Surrogate modeling immersed p…Stochastic harmonic function based wind field simulation and wind-induced reliability of super high-rise buildings (2019)Stochastic harmonic function …An efficient new PDEM-COM based approach for time-variant reliability assessment of structures with 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References

  • 2009Stochastic Dynamics of Structures923 cited
  • 1986Probabilistic finite elements for nonlinear structural dynamics396 cited
  • 2011Advances of the probability density evolution method for nonlinear stochastic systems247 cited
  • 2006The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures220 cited
  • 2005The probability density evolution method for dynamic response analysis of non‐linear stochastic structures219 cited
  • 2004Dynamic response and reliability analysis of structures with uncertain parameters109 cited
  • 2007Strategy for selecting representative points via tangent spheres in the probability density evolution method95 cited
  • 2022Comparison of PDEM and MCS: Accuracy and efficiency69 cited
  • 2020Surrogate modeling immersed probability density evolution method for structural reliability analysis in high dimensions59 cited
  • 2016A Galerkin-based formulation of the probability density evolution method for general stochastic finite element systems56 cited
  • 2019An efficient new PDEM-COM based approach for time-variant reliability assessment of structures with monotonically deteriorating materials53 cited
  • 2006The dimension-reduction strategy via mapping for probability density evolution analysis of nonlinear stochastic systems51 cited
  • 2019Stochastic harmonic function based wind field simulation and wind-induced reliability of super high-rise buildings28 cited

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  • 2009Stochastic direct integration schemes for dynamic systems subjected to random excitations19 cited
  • 2023Numerical convergence and error analysis for the truncated iterative generalized stochastic perturbation-based finite element method18 cited
  • 2023An adaptive divided-difference perturbation method for solving stochastic problems17 cited
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