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A new stationary PDF approximation for non-linear oscillators
16 references·0 citing·29 second hop
A new stationary PDF approximation for non-linear oscillators (2000)A new stationary PDF approximation for no…Stochastic analysis of structural and mechanical vibrations (1996)Stochastic analysis of struct…Approximate solutions for non-linear random vibration problems (1996)Approximate solutions for non…On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)On the numerical solution of …Approximate solution for nonlinear random vibration problems by partial stochastic linearization (1993)Approximate solution for nonl…Random Vibration of Mechanical and Structural Systems (1992)Random Vibration of Mechanica…A new approximate solution technique for randomly excited non-linear oscillators—II (1992)A new approximate solution te…Random vibration and statistical linearization (1990)Random vibration and statisti…Stochastic Linearization in Structural Dynamics (1988)Stochastic Linearization in S…Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Cumulant-neglect closure for …Introduction to Random Vibrations (1983)Introduction to Random Vibrat…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…First-Passage Time for Oscillators With Nonlinear Damping (1978)First-Passage Time for Oscill…Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Probabilistic Structural Dyna…Reliability of Aircraft Structures in Resisting Chance Failure (1959)Reliability of Aircraft Struc…Method for Random Vibration of Hysteretic Systems (1976)Efficient path integration methods for nonlinear dynamic systems (2000)Computational stochastic mechanics – recent advances (2001)First excursion probabilities for linear systems by very efficient importance sampling (2001)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)Monte Carlo solution of structural dynamics (1972)Finite element methods in probabilistic mechanics (1987)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Stochastic Dynamics and Control (2006)Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007)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)Simulation of Ergodic Multivariate Stochastic Processes (1996)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)Generalized polynomial chaos and random oscillators (2004)Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Reliability assessment in structural dynamics (2013)Applications of Hilbert–Huang transform to non‐stationary financial time series analysis (2003)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The principle of preservation of probability and the generalized density evolution equation (2006)
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References

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  • 1996Approximate solutions for non-linear random vibration problems

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22 cited
  • 1993Approximate solution for nonlinear random vibration problems by partial stochastic linearization20 cited
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