A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density …
The joint probability density function (PDF) of multiple response processes of a system is a
crucial topic in the fields of science and engineering. It is adopted to describe the dependent …
crucial topic in the fields of science and engineering. It is adopted to describe the dependent …
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters
This paper presents a novel approach for modeling the tensile failure of quasi-brittle
materials by incorporating a multivariate random field to represent material parameters in …
materials by incorporating a multivariate random field to represent material parameters in …
Multi-output multi-physics-informed neural network for learning dimension-reduced probability density evolution equation with unknown spatio-temporal-dependent …
Abstract The Dimension-Reduced Probability Density Evolution Equation (DR-PDEE) offers
a promising approach for evaluating probability density evolution in stochastic dynamical …
a promising approach for evaluating probability density evolution in stochastic dynamical …
Elucidating the complexity of stress interactions in polymer-coated granular materials via copula-based probabilistic dependence configurations
Coated granular materials, whether naturally occurring or synthetically produced in
laboratories, offers substantial potential for various engineering applications. This study …
laboratories, offers substantial potential for various engineering applications. This study …
A full‐probabilistic cloud analysis for structural seismic fragility via decoupled M‐PDEM
Performance‐based earthquake engineering (PBEE) is essential for ensuring engineering
safety. Conducting seismic fragility analysis within this framework is imperative. Existing …
safety. Conducting seismic fragility analysis within this framework is imperative. Existing …
Copula-based cloud analysis for seismic fragility and its application to nuclear power plant structures
This paper presents a copula-based cloud analysis method for seismic fragility assessment
with practical applications for nuclear power plant structures. Copula theory enables the …
with practical applications for nuclear power plant structures. Copula theory enables the …
System reliability analysis of building clusters considering inter-structural seismic demand correlation
The seismic engineering demand parameters (EDPs) of building clusters exhibit significant
spatial correlations and need full consideration in regional risk and reliability assessments …
spatial correlations and need full consideration in regional risk and reliability assessments …
Vine-copula-based multi-dimensional fragility analysis of nuclear power plant under sequential earthquakes
Seismic resilience of critical infrastructure, such as nuclear power plants, is paramount in
ensuring nuclear safety. This study presents a comprehensive analysis of the seismic …
ensuring nuclear safety. This study presents a comprehensive analysis of the seismic …
DR-PDEE for engineered high-dimensional nonlinear stochastic systems: a physically-driven equation providing theoretical basis for data-driven approaches
For over half a century, the analysis, control, and optimization design of high-dimensional
nonlinear stochastic dynamical systems have posed long-standing challenges in the fields …
nonlinear stochastic dynamical systems have posed long-standing challenges in the fields …
[HTML][HTML] Stochastic Dynamic Response Analysis via Dimension-Reduced Probability Density Evolution Equation (DR-PDEE) with Enhanced Tail-Accuracy
The stochastic dynamic analysis of high-dimensional nonlinear systems is a critical concern
in engineering fields, especially when considering the reliability analysis of low-probability …
in engineering fields, especially when considering the reliability analysis of low-probability …