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A new approximate solution technique for randomly excited non-linear oscillators—II · Study

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ArticleA new approximate solution technique for randomly excited non-linear oscillators—II

Lin Ye1992

Article1992

A new approximate solution technique for randomly excited non-linear oscillators—II

Lin Ye · Isaac E. Elishakoff

65 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 1990Random vibration and statistical linearization 1990Random vibration and statistical linearization 1965On the relation between ordinary and stochastic differential equations 1986Stochastic averaging: An approximate method of solving random vibration problems 1951On a Formula Concerning Stochastic Differentials 1984Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations 1980Non-gaussian closure for random vibration of non-linear oscillators

Cited by

1996Exact and approximate solutions for randomly excited MDOF non-linear systems 1998Multi-Gaussian closure method for randomly excited non-linear systems 2014Polynomial Correlated Function Expansion for Nonlinear Stochastic Dynamic Analysis 2020Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process 1993Approximate solution for nonlinear random vibration problems by partial stochastic linearization

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1998Multi-Gaussian closure method for randomly excited non-linear systemsarticle · 8 shared references 2002Approximate solution of the Fokker–Planck–Kolmogorov equationarticle · 6 shared references 2014Finite element solution of Fokker–Planck equation of nonlinear oscillators subjected to colored non-Gaussian noisearticle · 6 shared references 1995A method for the probabilistic analysis of nonlinear systemsarticle · 6 shared references 1992Stochastic linearization of MDOF systems under parametric excitationsarticle · 6 shared references 2006Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systemsarticle · 5 shared references

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Year1992

Typearticle

Published1992-11-01

VenueInternational Journal of Non-Linear Mechanics

ISSN-L0020-7462

Languageen

Citations65

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/0020-7462(92)90049-d

openalex_workW1998455280

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2002

Some properties of multi-degree-of-freedom potential systems and application to statistical equivalent non-linearization

2017Nonlinear system stochastic response determination via fractional equivalent linearization and Karhunen–Loève expansion