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The non-stationary response probability density functions of non-linearly damped oscillators subjected to white noise excitations
5 references·5 citing·33 second hop
The non-stationary response probability density functions of non-linearly damped oscillators subjected to white noise excitations (1990)The non-stationary response probability d…Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic averaging: An appr…Non-Gaussianclosure techniques for stationary random vibration (1985)Non-Gaussianclosure technique…Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Cumulant-neglect closure for …Application of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator (1983)Application of Wiener-Hermite…Non-gaussian closure for random vibration of non-linear oscillators (1980)Non-gaussian closure for rand…A novel stochastic approach to investigate the probabilistic characteristics of the ship roll system with sinusoidal restoring force (2024)A novel stochastic approach t…The generalized EPC method for the non-stationary probabilistic response of nonlinear dynamical system (2023)The generalized EPC method fo…Nonstationary solutions of nonlinear dynamical systems excited by Gaussian white noise (2018)Nonstationary solutions of no…Path integral solution handled by Fast Gauss Transform (2008)Path integral solution handle…Response of Linear and Non-Linear Structural Systems under Gaussian or Non-Gaussian Filtered Input (1993)Response of Linear and Non-Li…Approximate analysis of non-linear stochastic systems (1976)On loss of accuracy and non-uniqueness of solutions generated by equivalent linearization and cumulant-neglect methods (1990)Equivalent Statistical Quadratization for Nonlinear Systems (1991)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)A state-of-the-art report on computational stochastic mechanics (1997)Efficient path integration methods for nonlinear dynamic systems (2000)Local averaged path integration method approach for nonlinear dynamic systems (2018)On stochastic differential equations (1951)Developments in stochastic structural mechanics (2006)Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects (2006)Stochastic Differential Equations (2014)Compact Probabilistic Representation of Random Processes (1982)Introduction to Random Vibrations (1983)Recent Results in Random Vibrations of Nonlinear Mechanical Systems (1995)Fourier-based maximum entropy method in stochastic dynamics (1998)Direct derivation of response moment and cumulant equations for non-linear stochastic problems (2000)The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation (1990)Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems (2006)Dimension-reduced Chapman-Kolmogorov equation for high-dimensional stochastic dynamical systems (2025)Dynamic reliability analysis of systems under combined Gaussian and Poisson white noise by time-varying extreme value process (2025)Random Fields: Analysis and Synthesis (1983)Random vibration of mechanical and structural systems (1993)Stochastic Dynamics of Structures (2009)An exponential-spectral mapping method for solving probability density evolution equations of stochastic dynamical systems (2025)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Nonlinear Vibration Models for Extremes and Fatigue (1988)The dynamics of speculative behaviour (1992)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)A functional series expansion method for response analysis of non-linear systems subjected to random excitations (1987)A proposed technique of SFEM on solving ordinary random differential equation (2004)The approximate solutions of some stochastic differential equations using transformations (2004)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)
this work references cited by second hop

References

  • 1986Stochastic averaging: An approximate method of solving random vibration problems577 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
  • 1985Non-Gaussianclosure techniques for stationary random vibration66 cited
  • 1983Application of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator65 cited

Cited by

  • 2018Nonstationary solutions of nonlinear dynamical systems excited by Gaussian white noise30 cited
  • 1993Response of Linear and Non-Linear Structural Systems under Gaussian or Non-Gaussian Filtered Input22 cited
  • 2008Path integral solution handled by Fast Gauss Transform14 cited
  • 2023The generalized EPC method for the non-stationary probabilistic response of nonlinear dynamical system10 cited
  • 2024A novel stochastic approach to investigate the probabilistic characteristics of the ship roll system with sinusoidal restoring force9 cited

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