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Joint probability density function of the stochastic responses of nonlinear structures
16 references·0 citing·28 second hop
Joint probability density function of the stochastic responses of nonlinear structures (2007)Joint probability density function of the…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…The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The extreme value distributio…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…Dynamic response and reliability analysis of non-linear stochastic structures (2004)Dynamic response and reliabil…Finite Element Methods for Structures with Large Stochastic Variations (2003)Finite Element Methods for St…Stochastic finite element method for elasto-plastic body (1999)Stochastic finite element met…The stochastic finite element method: basic perturbation technique and computer implementation (1993)The stochastic finite element…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Random vibration and statistical linearization (1990)Random vibration and statisti…Random vibration and statistical linearization (1990)Random vibration and statisti…Probabilistic finite elements for nonlinear structural dynamics (1986)Probabilistic finite elements…The stochastic finite-element method (1980)The stochastic finite-element…Method for Random Vibration of Hysteretic Systems (1976)Method for Random Vibration o…Monte Carlo solution of structural dynamics (1972)Monte Carlo solution of struc…Neumann Expansion for Stochastic Finite Element Analysis (1988)A state-of-the-art report on computational stochastic mechanics (1997)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Exact and Invariant Second-Moment Code Format (1974)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Simulation of Multivariate and Multidimensional Random Processes (1971)Simulation of Ergodic Multivariate Stochastic Processes (1996)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Probability Concepts in Engineering Planning and Design (1975)Probabilistic Theory of Structural Dynamics (1976)Random field finite elements (1986)The stochastic finite element method in structural reliability (1987)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)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)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)The equivalent extreme-value event and evaluation of the structural system reliability (2006)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)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Stochastic Dynamics of Marine Structures (2012)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)An efficient method for parametric uncertainty analysis of numerical geophysical models (1997)Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1976Method for Random Vibration of Hysteretic Systems2,686 cited
  • 1990Random vibration and statistical linearization995 cited
  • 1990Random vibration and statistical linearization822 cited
  • 1980The stochastic finite-element method641 cited
  • 1972Monte Carlo solution of structural dynamics629 cited
  • 2006The principle of preservation of probability and the generalized density evolution equation517 cited
  • 1993The stochastic finite element method: basic perturbation technique and computer implementation400 cited
  • 1986Probabilistic finite elements for nonlinear structural dynamics396 cited
  • 2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 cited
  • 2006The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters352 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 non-linear stochastic structures216 cited

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1999
Stochastic finite element method for elasto-plastic body
95 cited
  • 2003Finite Element Methods for Structures with Large Stochastic Variations68 cited
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