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On using non-Gaussian distributions to perform statistical linearization
1 references·7 citing·19 second hop
On using non-Gaussian distributions to perform statistical linearization (2004)On using non-Gaussian distributions to pe…Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…Extended statistical linearization approach for estimating non-stationary response statistics of systems comprising fractional derivative elements (2023)Extended statistical lineariz…A linearization scheme for vibrations due to combined deterministic and stochastic loads (2020)A linearization scheme for vi…Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations (2019)Formulation of Statistical Li…A copula-based Gaussian mixture closure method for stochastic response of nonlinear dynamic systems (2019)A copula-based Gaussian mixtu…A moment-equation-copula-closure method for nonlinear vibrational systems subjected to correlated noise (2016)A moment-equation-copula-clos…A non-Gaussian stochastic linearization method (2006)A non-Gaussian stochastic lin…On statistical quasi-linearization (2005)On statistical quasi-lineariz…On stochastic differential equations (1951)Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Linearization in Analysis of Nonlinear Stochastic Systems (1991)Statistics for Long-Memory Processes. (1996)An Introduction to Copulas (1999)A modified Gaussian moment closure method for nonlinear stochastic differential equations (2017)Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy (2025)Dependence Modeling with Copulas (2014)Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique (1978)Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic Linearization in Structural Dynamics (1988)Stationary and non-stationary stochastic response of linear fractional viscoelastic systems (2011)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)A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries (2023)A comprehensive study on seismic dynamic responses of stochastic structures using sparse grid-based polynomial chaos expansion (2024)An extrapolation approach within the Wiener path integral technique for efficient stochastic response determination of nonlinear systems (2024)
this work references cited by second hop

References

  • 1976Probabilistic Theory of Structural Dynamics1,398 cited

Cited by

  • 2019Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations36 cited
  • 2006A non-Gaussian stochastic linearization method24 cited
  • 2020A linearization scheme for vibrations due to combined deterministic and stochastic loads22 cited
  • 2023Extended statistical linearization approach for estimating non-stationary response statistics of systems comprising fractional derivative elements20 cited
  • 2016A moment-equation-copula-closure method for nonlinear vibrational systems subjected to correlated noise20 cited
  • 2005On statistical quasi-linearization11 cited
  • 2019A copula-based Gaussian mixture closure method for stochastic response of nonlinear dynamic systems10 cited

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