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Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations
2 references·16 citing·46 second hop
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this work references cited by second hop

References

  • 1951On stochastic differential equations832 cited
  • 2014Stochastic Differential Equations574 cited

Cited by

  • 2006Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects186 cited
  • 2006Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems157 cited
  • 2006Developments in stochastic structural mechanics123 cited
  • 2002Approximate solution of the Fokker–Planck–Kolmogorov equation104 cited
  • 2023Reliability assessment of stochastic dynamical systems using physics informed neural network based PDEM68 cited
  • 1992A new approximate solution technique for randomly excited non-linear oscillators—II65 cited
  • 1991A general numerical solution method for Fokker-Planck equations with applications to structural reliability61 cited
  • 1992Dynamic response of non-linear systems to poisson-distributed random impulses58 cited
  • 1986Methods of stochastic structural dynamics51 cited
  • 1990Dynamic response of non-linear systems to poisson-distributed pulse trains: Markov approach50 cited
  • 2017An ensemble evolution numerical method for solving generalized density evolution equation49 cited
  • 2001Non-linear stochastic response distributions by local statistical linearization

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46 cited
  • 1990The non-stationary response probability density functions of non-linearly damped oscillators subjected to white noise excitations44 cited
  • 1992Stochastic response analysis of nonlinear systems under Gaussian inputs41 cited
  • 2013Explicit solutions for the response probability density function of linear systems subjected to random static loads41 cited
  • 1998Multi-Gaussian closure method for randomly excited non-linear systems39 cited