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Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation
16 references·8 citing·36 second hop
Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation (2023)Refined probabilistic response and seismi…A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations (2022)A unified formalism of the GE…Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…Modeling Dependence with C- and D-Vine Copulas: The R Package CDVine (2013)Modeling Dependence with C- a…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…Construction of asymmetric multivariate copulas (2008)Construction of asymmetric mu…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 equivalent extreme-value event and evaluation of the structural system reliability (2006)The equivalent extreme-value …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…Moment methods for structural reliability (2001)Moment methods for structural…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…Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…Monte Carlo solution of structural dynamics (1972)Monte Carlo solution of struc…Structural design optimization under stochastic excitations considering first-passage probability constraint based on dimension-reduced probability density evolution equation (2025)Structural design optimizatio…Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy (2025)Stochastic dynamic response a…Efficient stochastic response analysis of high-dimensional nonlinear systems subject to multiplicative noise via the DR-PDEE (2025)Efficient stochastic response…DR-PDEE-based probabilistic response analysis for high-dimensional nonlinear dynamical systems under general non-white and non-stationary random excitations via constructing the auxiliary diffusion process (2025)DR-PDEE-based probabilistic r…Dimension-reduced Chapman-Kolmogorov equation for high-dimensional stochastic dynamical systems (2025)Dimension-reduced Chapman-Kol…An exponential-spectral mapping method for solving probability density evolution equations of stochastic dynamical systems (2025)An exponential-spectral mappi…A novel model and simulation method for multivariate Gaussian fields involving nonlinear probabilistic dependencies and different variable-wise spatial variabilities (2025)A novel model and simulation …Stochastic Response Analysis of a Spar-Type FOWT Subjected to Extreme Waves by a Novel Filter Wave Model and the DR-PDEE (2024)Stochastic Response Analysis …An Introduction to Copulas (1999)Everything You Always Wanted to Know about Copula Modeling but Were Afraid to Ask (2007)Pair-copula constructions of multiple dependence (2007)VineCopula: Statistical Inference of Vine Copulas (2012)Environmental contours using copulas (2015)A review of quantification methodologies for multi-hazard interrelationships (2019)Exact and Invariant Second-Moment Code Format (1974)A fast and efficient response surface approach for structural reliability problems (1990)Methods of structural safety (2006)Efficient Spreadsheet Algorithm for First-Order Reliability Method (2007)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Simulation of Multivariate and Multidimensional Random Processes (1971)Neumann Expansion for Stochastic Finite Element Analysis (1988)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Method for Random Vibration of Hysteretic Systems (1976)Structural Reliability Methods (1996)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)The stochastic finite-element method (1980)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)Uncertainties in risk analysis: Six levels of treatment (1996)Reliability analysis—a review and some perspectives (2001)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (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)Random field finite elements (1986)Nonlinear Vibration Models for Extremes and Fatigue (1988)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Simulation of Ergodic Multivariate Stochastic Processes (1996)The stochastic finite element method: Past, present and future (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)
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References

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  • 1976Probabilistic Theory of Structural Dynamics1,398 cited
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  • 2013Modeling Dependence with C- and D-Vine Copulas: The R Package CDVine499 cited
  • 2006The equivalent extreme-value event and evaluation of the structural system reliability447 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
  • 2008Construction of asymmetric multivariate copulas241 cited
  • 2004Dynamic response and reliability analysis of non-linear stochastic structures216 cited
  • 2008A note on the principle of preservation of probability and probability density evolution equation

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126 cited
  • 2022A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations88 cited
  • Cited by

    • 2025Efficient stochastic response analysis of high-dimensional nonlinear systems subject to multiplicative noise via the DR-PDEE20 cited
    • 2025Structural design optimization under stochastic excitations considering first-passage probability constraint based on dimension-reduced probability density evolution equation20 cited
    • 2024Stochastic Response Analysis of a Spar-Type FOWT Subjected to Extreme Waves by a Novel Filter Wave Model and the DR-PDEE18 cited
    • 2025DR-PDEE-based probabilistic response analysis for high-dimensional nonlinear dynamical systems under general non-white and non-stationary random excitations via constructing the auxiliary diffusion process15 cited
    • 2025Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy14 cited
    • 2025A novel model and simulation method for multivariate Gaussian fields involving nonlinear probabilistic dependencies and different variable-wise spatial variabilities11 cited
    • 2025Dimension-reduced Chapman-Kolmogorov equation for high-dimensional stochastic dynamical systems10 cited
    • 2025An exponential-spectral mapping method for solving probability density evolution equations of stochastic dynamical systems9 cited