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Comparison between equivalent linearization and Gaussian closure for random vibration analysis of several nonlinear systems

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References

1976Method for Random Vibration of Hysteretic Systems2,686 cited
1976Stochastic Differential Equations: Theory and Applications.2,351 cited
1984Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations234 cited
1978Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique135 cited
1985Non-Gaussianclosure techniques for stationary random vibration66 cited
1980Formulation of Stochastic Linearization for Symmetric or Asymmetric M.D.O.F. Nonlinear Systems63 cited
1987Comparison of Gaussian closure technique and equivalent linearization method27 cited
1989Probability densities of the response of nonlinear structures under stochastic dynamic excitation25 cited
1987A comparison between non-gaussian closure and statistical linearization techniques for random vibration of a nonlinear oscillator20 cited

Cited by

2019A copula-based Gaussian mixture closure method for stochastic response of nonlinear dynamic systems10 cited
1998Direct implementation of stochastic linearization for SDOF systems with general hysteresis10 cited
1994An approach to the problem of closure in non-linear stochastic mechanics10 cited
2012The Tale of Stochastic Linearization Technique: Over Half a Century of Progress9 cited

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