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Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution
5 references·0 citing·27 second hopsampled
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution (2023)Pattern-moving-based dynamic description …An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states (2022)An enhanced PDEM-based framew…A Difference-Wavelet Method for Solving Generalized Density Evolution Equation in Stochastic Structural Analysis (2016)A Difference-Wavelet Method f…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…The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The probability density evolu…Probabilistic Theory of Structural Dynamics (1976)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equations—An Introduction With Applications (2006)Random vibration analysis of structures by a time-domain explicit formulation method (2014)Comparison of PDEM and MCS: Accuracy and efficiency (2022)A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density evolution method (2023)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)The stochastic finite-element method (1980)Stochastic Finite Elements: A Spectral Approach (1991)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Probability density evolution method: Background, significance and recent developments (2015)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Random vibration and statistical linearization (1990)Stochastic Differential Equations (2003)Dynamic response and reliability analysis of non-linear stochastic structures (2004)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)Monte Carlo solution of structural dynamics (1972)Method for Random Vibration of Hysteretic Systems (1976)Stochastic Dynamics of Structures (2009)A Chebyshev collocation based sequential matrix exponential method for the generalized density evolution equation (2021)A modified Chebyshev collocation method for the generalized probability density evolution equation (2024)Analytical solution of the generalized density evolution equation for stochastic systems: Euler-Bernoulli beam under noisy excitations and nonlinear vibration of Kirchhoff plate (2025)Response‐Surface Approach for Reliability Analysis (1989)Risk evaluation approaches in failure mode and effects analysis: A literature review (2012)Probabilistic machine learning approach for structural reliability analysis (2023)Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction (2024)First excursion probability of dynamical systems: A review on computational methods (2025)
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References

  • 2006The principle of preservation of probability and the generalized density evolution equation517 cited
  • 2005The probability density evolution method for dynamic response analysis of non‐linear stochastic structures219 cited
  • 2008A note on the principle of preservation of probability and probability density evolution equation126 cited
  • 2022An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states52 cited
  • 2016A Difference-Wavelet Method for Solving Generalized Density Evolution Equation in Stochastic Structural Analysis16 cited

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