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Stochastic linearization of MDOF systems under parametric excitations
11 references·4 citing·29 second hop
Stochastic linearization of MDOF systems under parametric excitations (1992)Stochastic linearization of MDOF systems …Stochastic response analysis of nonlinear systems under Gaussian inputs (1992)Stochastic response analysis …Random vibration and statistical linearization (1990)Random vibration and statisti…Random vibration and statistical linearization (1990)Random vibration and statisti…Comparison of Gaussian closure technique and equivalent linearization method (1987)Comparison of Gaussian closur…Introduction to Random Vibration (1986)Introduction to Random Vibrat…Stochastic Response of Nonlinear Dynamic Systems Based on a Non-Gaussian Closure (1985)Stochastic Response of Nonlin…Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Cumulant-neglect closure for …Non-gaussian closure for random vibration of non-linear oscillators (1980)Non-gaussian closure for rand…Stochastic Differential Equations: Theory and Applications. (1976)Stochastic Differential Equat…Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…On the relation between ordinary and stochastic differential equations (1965)On the relation between ordin…Efficient stochastic response analysis of high-dimensional nonlinear systems subject to multiplicative noise via the DR-PDEE (2025)Efficient stochastic response…A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems (2020)A highly-efficient method for…Influences of system uncertainties on the numerical transfer path analysis of engine systems (2017)Influences of system uncertai…Modified stochastic linearization technique for colored noise excitation of Duffing oscillator (1994)Modified stochastic lineariza…Introduction to Random Vibrations (1983)Stochastic Differential Calculus (1993)Non-linear systems under parametric white noise input: Digital simulation and response (2005)Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process (2020)On stochastic differential equations (1951)Developments in stochastic structural mechanics (2006)Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects (2006)Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems (2006)Stochastic Differential Equations (2014)Random field finite elements (1986)Nonlinear Vibration Models for Extremes and Fatigue (1988)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Stochastic Dynamics of Marine Structures (2012)Multi-Gaussian closure method for randomly excited non-linear systems (1998)Non-stationary response of MDOF dynamical systems under combined Gaussian and Poisson white noises by the generalized cell mapping method (2019)A method for the probabilistic analysis of nonlinear systems (1995)Modified Path Integral Solution of Fokker–Planck Equation: Response and Bifurcation of Nonlinear Systems (2009)Doubly Spectral Stochastic Finite-Element Method for Linear Structural Dynamics (2011)Stochastic analysis, rough path analysis and fractional Brownian motions (2002)Approaching complexity by stochastic methods: From biological systems to turbulence (2011)A Wong-Zakai theorem for stochastic PDEs (2015)Non-Gaussianclosure techniques for stationary random vibration (1985)An Improved Closure Method for Analysis of Nonlinear Stochastic Systems (1998)Stochastic dynamic response analysis and reliability assessment of non-linear structures under fully non-stationary ground motions (2019)Option Pricing when the Variance Changes Randomly: Theory, Estimation, and an Application (1987)ARCH models as diffusion approximations (1990)A Model of Intertemporal Asset Prices Under Asymmetric Information (1993)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)
this work references cited by second hop

References

  • 1976Stochastic Differential Equations: Theory and Applications.2,351 cited
  • 1976Probabilistic Theory of Structural Dynamics1,398 cited
  • 1990Random vibration and statistical linearization995 cited
  • 1990Random vibration and statistical linearization822 cited
  • 1965On the relation between ordinary and stochastic differential equations697 cited
  • 1984Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations234 cited
  • 1980Non-gaussian closure for random vibration of non-linear oscillators153 cited
  • 1985Stochastic Response of Nonlinear Dynamic Systems Based on a Non-Gaussian Closure102 cited
  • 1986Introduction to Random Vibration96 cited
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Cited by

  • 2025Efficient stochastic response analysis of high-dimensional nonlinear systems subject to multiplicative noise via the DR-PDEE20 cited
  • 1994Modified stochastic linearization technique for colored noise excitation of Duffing oscillator15 cited
  • 2017Influences of system uncertainties on the numerical transfer path analysis of engine systems14 cited

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