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Non-stationary response of MDOF dynamical systems under combined Gaussian and Poisson white noises by the generalized cell mapping method
12 references·8 citing·34 second hop
Non-stationary response of MDOF dynamical systems under combined Gaussian and Poisson white noises by the generalized cell mapping method (2019)Non-stationary response of MDOF dynamical…An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems (2015)An Efficient Wiener Path Inte…Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism (2014)Nonstationary Stochastic Resp…Nonlinear MDOF system stochastic response determination via a dimension reduction approach (2012)Nonlinear MDOF system stochas…An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)An analytical Wiener path int…Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method (2010)Probabilistic response of non…Path integral solution for non-linear system enforced by Poisson White Noise (2008)Path integral solution for no…Stationary and non-stationary probability density function for non-linear oscillators (1997)Stationary and non-stationary…Reliability Of Non-linear Oscillators Subject To Poisson Driven Impulses (1994)Reliability Of Non-linear Osc…The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation (1990)The Generalized Cell Mapping …Stochastic Response of Nonlinear Dynamic Systems Based on a Non-Gaussian Closure (1985)Stochastic Response of Nonlin…Non-gaussian closure for random vibration of non-linear oscillators (1980)Non-gaussian closure for rand…Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique (1978)Study of the Random Vibration…Efficient path integral approach via analytical asymptotic expansion for nonlinear systems under Gaussian white noise (2024)Efficient path integral appro…An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise (2024)An efficient method for solvi…Path integration method based on a decoupling probability mapping for fast solving the stochastic response of dynamical systems (2023)Path integration method based…Stochastic dynamic analysis of nonlinear MDOF systems under combined Gaussian and Poisson noise excitation based on DPIM (2022)Stochastic dynamic analysis o…Responses of stochastic dynamical systems by the generalized cell mapping method with deep learning (2022)Responses of stochastic dynam…Reliability of dynamical systems with combined Gaussian and Poisson white noise via path integral method (2022)Reliability of dynamical syst…A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems (2020)A highly-efficient method for…Path Integral approach via Laplace’s method of integration for nonstationary response of nonlinear systems (2019)Path Integral approach via La…Probabilistic Theory of Structural Dynamics (1976)Simulation and the Monte Carlo Method (2007)Stochastic Dynamics of Structures (2009)Approximate survival probability determination of hysteretic systems with fractional derivative elements (2017)Stochastic response determination and optimization of a class of nonlinear electromechanical energy harvesters: A Wiener path integral approach (2018)First-passage reliability of high-dimensional nonlinear systems under additive excitation by the ensemble-evolving-based generalized density evolution equation (2021)Stochastic Differential Equations: Theory and Applications. (1976)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equations—An Introduction With Applications (2006)Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach (2012)Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral (2014)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Efficient path integration methods for nonlinear dynamic systems (2000)Stochastic response analysis of the softening Duffing oscillator and ship capsizing probability determination via a numerical path integral approach (2013)Path integral solution for nonlinear systems under parametric Poissonian white noise input (2015)Statistical Linearization of Nonlinear Structural Systems with Singular Matrices (2016)Method for Random Vibration of Hysteretic Systems (1976)Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements (2016)Approximate Method for Nonlinear Random Vibration (1975)Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Approximate solution of the Fokker–Planck–Kolmogorov equation (2002)An Improved Closure Method for Analysis of Nonlinear Stochastic Systems (1998)Sixty years of stochastic linearization technique (2016)Dynamic reliability analysis of nonlinear structures using a Duffing-system-based equivalent nonlinear system method (2020)Stochastic response analysis of nonlinear systems under Gaussian inputs (1992)Stochastic Differential Calculus (1993)Multi-Gaussian closure method for randomly excited non-linear systems (1998)Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation (2018)Non-Gaussianclosure techniques for stationary random vibration (1985)Stochastic dynamic response analysis and reliability assessment of non-linear structures under fully non-stationary ground motions (2019)Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems (2006)Stochastic Dynamics and Control (2006)
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References

  • 1990The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation199 cited
  • 2011An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators181 cited
  • 1980Non-gaussian closure for random vibration of non-linear oscillators153 cited
  • 1978Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique135 cited
  • 1997Stationary and non-stationary probability density function for non-linear oscillators108 cited
  • 1985Stochastic Response of Nonlinear Dynamic Systems Based on a Non-Gaussian Closure102 cited
  • 2014Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism94 cited
  • 2015An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems86 cited
  • 2008Path integral solution for non-linear system enforced by Poisson White Noise85 cited
  • 2010Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method83 cited
  • 2012Nonlinear MDOF system stochastic response determination via a dimension reduction approach62 cited
  • 1994Reliability Of Non-linear Oscillators Subject To Poisson Driven Impulses47 cited

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  • 2022Reliability of dynamical systems with combined Gaussian and Poisson white noise via path integral method

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35 cited
  • 2024Efficient path integral approach via analytical asymptotic expansion for nonlinear systems under Gaussian white noise22 cited
  • 2019Path Integral approach via Laplace’s method of integration for nonstationary response of nonlinear systems20 cited
  • 2022Stochastic dynamic analysis of nonlinear MDOF systems under combined Gaussian and Poisson noise excitation based on DPIM19 cited
  • 2024An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise16 cited
  • 2022Responses of stochastic dynamical systems by the generalized cell mapping method with deep learning14 cited
  • 2020A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems14 cited
  • 2023Path integration method based on a decoupling probability mapping for fast solving the stochastic response of dynamical systems11 cited