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High-dimensional points selection strategy for PDEM-based stochastic dynamic analysis of structures
16 references·0 citing·28 second hop
High-dimensional points selection strategy for PDEM-based stochastic dynamic analysis of structures (2025)High-dimensional points selection strateg…Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Random function based spectra…Probability density evolution method: Background, significance and recent developments (2015)Probability density evolution…A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)A GF-discrepancy for point se…Advances of the probability density evolution method for nonlinear stochastic systems (2011)Advances of the probability d…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…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 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…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Directional methods for structural reliability analysis (2000)Directional methods for struc…Monte Carlo Treatment of Random Fields: A Broad Perspective (1998)Monte Carlo Treatment of Rand…The stochastic finite element method: basic perturbation technique and computer implementation (1993)The stochastic finite element…Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Polynomial Chaos in Stochastic Finite Elements (1990)Polynomial Chaos in Stochasti…Method for Random Vibration of Hysteretic Systems (1976)Method for Random Vibration o…Stochastic Finite Element Expansion for Random Media (1989)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)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)Structural Reliability under Incomplete Probability Information (1986)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)The PHI2 method: a way to compute time-variant reliability (2003)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Stochastic Finite Elements: A Spectral Approach (1991)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Monte Carlo solution of structural dynamics (1972)A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)System reliability analyses of static and dynamic structures via direct probability integral method (2021)Digital simulation of random processes and its applications (1972)Simulation of Stochastic Processes by Spectral Representation (1991)A stochastic harmonic function representation for non-stationary stochastic processes (2017)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 extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)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

  • 1976Method for Random Vibration of Hysteretic Systems2,686 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 1993Optimal Discretization of Random Fields728 cited
  • 2006The principle of preservation of probability and the generalized density evolution equation517 cited
  • 1990Polynomial Chaos in Stochastic Finite Elements416 cited
  • 2015A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters410 cited
  • 1993The stochastic finite element method: basic perturbation technique and computer implementation400 cited
  • 2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 cited
  • 2016Random function based spectral representation of stationary and non-stationary stochastic processes333 cited
  • 2000Directional methods for structural reliability analysis278 cited
  • 2011Advances of the probability density evolution method for nonlinear stochastic systems247 cited
  • 1998Monte Carlo Treatment of Random Fields: A Broad Perspective225 cited
  • 2006The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures220 cited

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  • 2005The probability density evolution method for dynamic response analysis of non‐linear stochastic structures219 cited
  • 2015Probability density evolution method: Background, significance and recent developments217 cited
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