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Multi-scale based stochastic damage evolution
7 references·0 citing·27 second hop
Multi-scale based stochastic damage evolution (2010)Multi-scale based stochastic damage evolu…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 Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)The Number Theoretical Method…Generalized perturbation-based stochastic finite element method in elastostatics (2006)Generalized perturbation-base…The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The probability density evolu…Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Probability density evolution…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…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)The stochastic finite-element method (1980)Neumann Expansion for Stochastic Finite Element Analysis (1988)A state-of-the-art report on computational stochastic mechanics (1997)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Random Fields: Analysis and Synthesis (1983)Random field finite elements (1986)Kriging-based approximate stochastic homogenization analysis for composite materials (2008)Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches (2009)A review on stochastic multiscale analysis for FRP composite structures (2022)Digital simulation of random processes and its applications (1972)Probability density evolution method: Background, significance and recent developments (2015)A novel fractional moments-based maximum entropy method for high-dimensional reliability analysis (2019)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)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 Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2006The principle of preservation of probability and the generalized density evolution equation517 cited
  • 2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 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
  • 2006Generalized perturbation-based stochastic finite element method in elastostatics164 cited
  • 2008A note on the principle of preservation of probability and probability density evolution equation126 cited

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