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A finite-element method for analysis of a non-linear system under stochastic parametric and external excitation
9 references·1 citing·39 second hop
A finite-element method for analysis of a non-linear system under stochastic parametric and external excitation (1996)A finite-element method for analysis of a…A general numerical solution method for Fokker-Planck equations with applications to structural reliability (1991)A general numerical solution …Finite Element Methods in Probabilistic Structural Analysis: A Selective Review (1988)Finite Element Methods in Pro…Prediction of the response of non-linear oscillators under stochastic parametric and external excitations (1987)Prediction of the response of…Random fields and stochastic finite elements (1986)Random fields and stochastic …A finite element method for the statistics of non-linear random vibration (1985)A finite element method for t…Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Cumulant-neglect closure for …Random Vibration: A Survey of Recent Developments (1983)Random Vibration: A Survey of…Monte Carlo simulations of responses of non-symmetric dynamic system to random excitations (1981)Monte Carlo simulations of re…Literature Review : Response of Nonlinear Mechanical Systems To Random Excitation Part I: Markov Methods (1981)Literature Review : Response …Fourier-based maximum entropy method in stochastic dynamics (1998)Fourier-based maximum entropy…Approximate Method for Nonlinear Random Vibration (1975)Method for Random Vibration of Hysteretic Systems (1976)Approximate solution of the Fokker–Planck–Kolmogorov equation (2002)Reliability assessment of stochastic dynamical systems using physics informed neural network based PDEM (2023)Random vibration and statistical linearization (1990)Stochastic Differential Equations (2003)Numerical solution of stochastic differential equations (2016)Approximate analysis of non-linear stochastic systems (1976)Response of non-linear systems with parameter uncertainties (1992)Probability density statistical and equivalent linearization techniques (2002)Simulation of Nonstationary Random Process (1967)Application of Statistical Linearization Techniques to Nonlinear Multidegree-of-Freedom Systems (1972)Formulation of Stochastic Linearization for Symmetric or Asymmetric M.D.O.F. Nonlinear Systems (1980)Cumulant-neglect closure method for asymmetric non-linear systems driven by Gaussian white noise (1989)Methods of nonlinear random vibration analysis (1995)A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems (2020)Probability, statistics, and decision for civil engineers (1970)Digital simulation of random processes and its applications (1972)Probability Concepts in Engineering Planning and Design (1975)Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation (1996)Monte Carlo techniques in computational stochastic mechanics (1998)Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)Nonlinear Vibration Models for Extremes and Fatigue (1988)Stationary and non-stationary random vibration of oscillators with bilinear hysteresis (1996)Stochastic elastic–plastic finite elements (2010)The Duffing oscillator under combined periodic and random excitations (2012)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)Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998 (1999)Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation (2000)Study of the non-linear dynamic response of a rotor system with faults and uncertainties (2011)A functional series expansion method for response analysis of non-linear systems subjected to random excitations (1987)Comparison of Gaussian closure technique and equivalent linearization method (1987)A Monte Carlo simulation method for non-random vibration analysis (2017)Response Statistics of Nonlinear Dynamic Systems by Path Integration (1992)Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory (2005)
this work references cited by second hop

References

  • 1986Random fields and stochastic finite elements307 cited
  • 1984Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations234 cited
  • 1988Finite Element Methods in Probabilistic Structural Analysis: A Selective Review204 cited
  • 1983Random Vibration: A Survey of Recent Developments122 cited
  • 1985A finite element method for the statistics of non-linear random vibration110 cited
  • 1991A general numerical solution method for Fokker-Planck equations with applications to structural reliability61 cited
  • 1981Literature Review : Response of Nonlinear Mechanical Systems To Random Excitation Part I: Markov Methods50 cited
  • 1987Prediction of the response of non-linear oscillators under stochastic parametric and external excitations29 cited
  • 1981Monte Carlo simulations of responses of non-symmetric dynamic system to random excitations24 cited

Cited by

  • 1998Fourier-based maximum entropy method in stochastic dynamics11 cited

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