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ArticleDimension-reduced FPK equation for additive white-noise excited nonlinear structures

Jianbing Chen2018

Article2018

Dimension-reduced FPK equation for additive white-noise excited nonlinear structures

Jianbing Chen · Zhenmei Rui

56 citations·0/0 files stored·Probabilistic Engineering Mechanics

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Probabilistic and Robust Engineering Design Vibration and Dynamic Analysis stochastic dynamics and bifurcation

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References

1976Probabilistic Theory of Structural Dynamics 1990Random vibration and statistical linearization 2009Stochastic Dynamics of Structures 1990Random vibration and statistical linearization 1986Stochastic averaging: An approximate method of solving random vibration problems 2006The principle of preservation of probability and the generalized density evolution equation 2011Random Vibrations: Analysis of Structural and Mechanical Systems 1997A state-of-the-art report on computational stochastic mechanics

Cited by

2023Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation 2020Application of directional importance sampling for estimation of first excursion probabilities of linear structural systems subject to stochastic Gaussian loading 2022Globally-evolving-based generalized density evolution equation for nonlinear systems involving randomness from both system parameters and excitations 2022Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE

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2014Dimension Reduction of the FPK Equation via an Equivalence of Probability Flux for Additively Excited Systemsarticle · 8 shared references 2015Probability density evolution method: Background, significance and recent developmentsarticle · 6 shared references 2021First-passage reliability of high-dimensional nonlinear systems under additive excitation by the ensemble-evolving-based generalized density evolution equationarticle · 6 shared references 2014Nonlinear Response of Structures Subjected to Stochastic Excitations via Probability Density Evolution Methodarticle · 6 shared references 2019A reproducing kernel particle method for solving generalized probability density evolution equation in stochastic dynamic analysisarticle · 6 shared references 2020Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Processarticle · 6 shared references

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Year2018

Typearticle

Published2018-04-14

VenueProbabilistic Engineering Mechanics

ISSN-L0266-8920

Languageen

Citations56

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.probengmech.2018.03.002

openalex_workW2797476709

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2020Physical synthesis method for global reliability analysis of engineering structures

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2020A new approach for time-variant probability density function of the maximal value of stochastic dynamical systems

2022Physically Driven Exact Dimension Reduction of a Class of Nonlinear Multidimensional Systems Subjected to Additive White Noise