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Approximate analytical methods for stationary response probability density of a SDOF system with a nonlinear spring under non-Gaussian random excitation
16 references·1 citing·31 second hop
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References

  • 1988Digital Generation of Non‐Gaussian Stochastic Fields317 cited
  • 1998Simulation of Stationary Non-Gaussian Translation Processes303 cited
  • 2002Simulation of second-order processes using Karhunen–Loeve expansion269 cited
  • 2005Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion259 cited
  • 2001Simulation of Highly Skewed Non-Gaussian Stochastic Processes226 cited
  • 2002Polynomial Chaos Decomposition for the Simulation of Non-Gaussian Nonstationary Stochastic Processes197 cited
  • 2011A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic process by a translation process168 cited
  • 2002Simulation of multi-dimensional non-gaussian non-stationary random fields152 cited
  • 2004On the accuracy of the polynomial chaos approximation140 cited
  • 2015Modeling strongly non-Gaussian non-stationary stochastic processes using the Iterative Translation Approximation Method and Karhunen–Loève expansion93 cited
  • 2012A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic vector process by a translation process with applications in wind velocity simulation87 cited
  • 2013Estimation of evolutionary spectra for simulation of non-stationary and non-Gaussian stochastic processes71 cited
  • 2018Simulation of cross-correlated random field samples from sparse measurements using Bayesian compressive sensing69 cited

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  • 1980Formulation of Stochastic Linearization for Symmetric or Asymmetric M.D.O.F. Nonlinear Systems63 cited
  • 1993A new model for non-Gaussian random excitations38 cited
  • 2006Response of Systems Under Non-Gaussian Random Excitations29 cited
  • Cited by

    • 2023Stationary response analysis for a linear system under non-Gaussian random excitation by the equivalent non-Gaussian excitation method and the Hermite moment model5 cited