Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

Monte Carlo simulation in the stochastic analysis of non-linear systems under external stationary Poisson white noise input

9 references·15 citing·38 second hop

FromToDepth

this work references cited by second hop

References

2006Stochastic Differential Equations1,276 cited
1990Random vibration and statistical linearization995 cited
1990Random vibration and statistical linearization822 cited
1997A state-of-the-art report on computational stochastic mechanics424 cited
1997Stationary and non-stationary probability density function for non-linear oscillators108 cited
1993Ito and Stratonovich integrals for delta-correlated processes84 cited
1995Response and Reliability of Poisson-Driven Systems by Path Integration63 cited
1994Reliability Of Non-linear Oscillators Subject To Poisson Driven Impulses47 cited
1994Random Vibration of Beam under Moving Loads45 cited

Cited by

2020A Kriging–NARX Model for Uncertainty Quantification of Nonlinear Stochastic Dynamical Systems in Time Domain40 cited
2015A bi-level approximation tool for the computation of FRFs in stochastic dynamic systems33 cited
2014Polynomial Correlated Function Expansion for Nonlinear Stochastic Dynamic Analysis30 cited
2020Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process30 cited
2016Polynomial Correlated Function Expansion28 cited
2019

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

Graph-Theoretic-Approach-Assisted Gaussian Process for Nonlinear Stochastic Dynamic Analysis under Generalized Loading

25 cited

2009Nonlinear dynamic analysis of frames with stochastic non-Gaussian material properties24 cited

2022RBFNN for Calculating the Stationary Response of SDOF Nonlinear Systems Excited by Poisson White Noise23 cited

2017An efficient sparse Bayesian learning framework for stochastic response analysis20 cited

2020Gaussian process assisted stochastic dynamic analysis with applications to near-periodic structures18 cited

2020A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems14 cited

2012Stochastic Methods in Nonlinear Structural Dynamics7 cited

2015Probabilistic solution of a multi-degree-of-freedom Duffing system under nonzero mean Poisson impulses7 cited

2019Dynamics of a Duffing oscillator with the stiffness modeled as a stochastic process6 cited

2024Reliability analysis of iced transmission lines under Poisson white noise excitation via path integration method5 cited