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A novel local stochastic linearization method via two extremum entropy principles
6 references·3 citing·21 second hop
A novel local stochastic linearization method via two extremum entropy principles (2002)A novel local stochastic linearization me…Stochastic Linearization Technique: A New Interpretation and a Selective Review (2000)Stochastic Linearization Tech…Entropy optimization principles with applications (1993)Entropy optimization principl…Linearization in Analysis of Nonlinear Stochastic Systems (1991)Linearization in Analysis of …Random vibration and statistical linearization (1990)Random vibration and statisti…Random vibration and statistical linearization (1990)Random vibration and statisti…Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Cumulant-neglect closure for …Stochastic Methods in Nonlinear Structural Dynamics (2012)Stochastic Methods in Nonline…Iterative closure method for non-linear systems driven by polynomials of Gaussian filtered processes (2008)Iterative closure method for …A non-Gaussian stochastic linearization method (2006)A non-Gaussian stochastic lin…On the relation between ordinary and stochastic differential equations (1965)Probabilistic Theory of Structural Dynamics (1976)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)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Stochastic Dynamics of Marine Structures (2012)Linearization in Analysis of Nonlinear Stochastic Systems, Recent Results—Part II: Applications (2005)Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory (2005)Sixty years of stochastic linearization technique (2016)Application and extension of the stochastic linearization by Anh and Di Paola (2008)Extension of the regulated stochastic linearization to beam vibrations (2013)A probabilistic linearization method for non-linear systems subjected to additive and multiplicative excitations (2006)An asymptotic expansion-based method for a spectral approach in equivalent statistical linearization (2014)Partial Stochastic Linearization of a Spherical Pendulum With Coriolis Damping Produced by Radial Spring and Damper (2015)Random matrix theory for modeling uncertainties in computational mechanics (2004)Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators (2005)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)
this work references cited by second hop

References

  • 1990Random vibration and statistical linearization995 cited
  • 1990Random vibration and statistical linearization822 cited
  • 1993Entropy optimization principles with applications493 cited
  • 1984Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations234 cited
  • 1991Linearization in Analysis of Nonlinear Stochastic Systems94 cited
  • 2000Stochastic Linearization Technique: A New Interpretation and a Selective Review38 cited

Cited by

  • 2006A non-Gaussian stochastic linearization method24 cited
  • 2012Stochastic Methods in Nonlinear Structural Dynamics7 cited
  • 2008Iterative closure method for non-linear systems driven by polynomials of Gaussian filtered processes7 cited

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