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Exact and approximate solutions for randomly excited MDOF non-linear systems · Study

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ArticleExact and approximate solutions for randomly excited MDOF non-linear systems

Guoqiang Cai1996

Article1996

Exact and approximate solutions for randomly excited MDOF non-linear systems

51 citations·0/0 files stored·International Journal of Non-Linear 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 1965On the relation between ordinary and stochastic differential equations 1967Probabilistic Structural Dynamics: Advanced Theory and Applications 1992A new approximate solution technique for randomly excited non-linear oscillators—II

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2022Globally-evolving-based generalized density evolution equation for nonlinear systems involving randomness from both system parameters and excitations 2022Reliability of dynamical systems with combined Gaussian and Poisson white noise via path integral method 2022Physically Driven Exact Dimension Reduction of a Class of Nonlinear Multidimensional Systems Subjected to Additive White Noise 2002Some properties of multi-degree-of-freedom potential systems and application to statistical equivalent non-linearization 2008Path integral solution handled by Fast Gauss Transform 2025Stochastic dynamic response analysis based on reduced dimension probability evolution equation under additive Gaussian white noise 2005A statistical nonlinearization technique for multi-degrees of freedom nonlinear systems under white noise excitations 2017A transformed path integral approach for solution of the Fokker–Planck equation

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1998Multi-Gaussian closure method for randomly excited non-linear systemsarticle · 3 shared references 2000A new stationary PDF approximation for non-linear oscillatorsarticle · 3 shared references 2006A probabilistic linearization method for non-linear systems subjected to additive and multiplicative excitationsarticle · 3 shared references 2001First excursion probabilities for linear systems by very efficient importance samplingarticle · 2 shared references 2011Advances of the probability density evolution method for nonlinear stochastic systemsarticle · 2 shared references 2006Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systemsarticle · 2 shared references

Details

Year1996

Typearticle

Published1996-09-01

VenueInternational Journal of Non-Linear Mechanics

ISSN-L0020-7462

Languageen

Citations51

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/0020-7462(96)00053-4

openalex_workW1989217282

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