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Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method
5 references·7 citing·20 second hop
Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method (1995)Nonlinear response of a beam under statio…Computational stochastic mechanics (1993)Computational stochastic mech…Linearization in Analysis of Nonlinear Stochastic Systems (1991)Linearization in Analysis of …Computational Stochastic Mechanics (1991)Computational Stochastic Mech…Random vibration and statistical linearization (1990)Random vibration and statisti…Random vibration and statistical linearization (1990)Random vibration and statisti…An efficient approach for predicting the nonlinear vibrations of a beam system subjected to multipoint correlated random excitation (2022)An efficient approach for pre…Nonlinear Random Vibrations of Beams with In-Span Supports via Statistical Linearization with Constrained Modes (2019)Nonlinear Random Vibrations o…Extension of the regulated stochastic linearization to beam vibrations (2013)Extension of the regulated st…The Tale of Stochastic Linearization Technique: Over Half a Century of Progress (2012)The Tale of Stochastic Linear…A dual criterion of stochastic linearization method for multi-degree-of-freedom systems subjected to random excitation (2012)A dual criterion of stochasti…Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes (2002)Equivalent Linearization Anal…Comparison of Nonlinear Random Response Using Equivalent Linearization and Numerical Simulation (2000)Comparison of Nonlinear Rando…Statistical Methods in Structural Mechanics. (1970)Probabilistic Theory of Structural Dynamics (1976)Monte Carlo solution of structural dynamics (1972)Simulation of Stochastic Processes by Spectral Representation (1991)A half-century of stochastic equivalent linearization (2005)A novel analysis method for vibration systems under time-varying uncertainties based on interval process model (2022)Stochastic Linearization in Structural Dynamics (1988)Computational stochastic mechanics – recent advances (2001)Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects (2006)Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations (2009)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)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)Theoretical and computational aspects of the stochastic boundary element method (1999)Reliability analysis of randomly vibrating structures with parameter uncertainties (2006)Probability Bounds Analysis Applied to the Sandia Verification and Validation Challenge Problem (2015)
this work references cited by second hop

References

  • 1990Random vibration and statistical linearization995 cited
  • 1990Random vibration and statistical linearization822 cited
  • 1991Computational Stochastic Mechanics215 cited
  • 1991Linearization in Analysis of Nonlinear Stochastic Systems94 cited
  • 1993Computational stochastic mechanics50 cited

Cited by

  • 2000Comparison of Nonlinear Random Response Using Equivalent Linearization and Numerical Simulation26 cited
  • 2012A dual criterion of stochastic linearization method for multi-degree-of-freedom systems subjected to random excitation22 cited
  • 2002Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes21 cited
  • 2013Extension of the regulated stochastic linearization to beam vibrations17 cited
  • 2012The Tale of Stochastic Linearization Technique: Over Half a Century of Progress9 cited
  • 2019Nonlinear Random Vibrations of Beams with In-Span Supports via Statistical Linearization with Constrained Modes8 cited
  • 2022An efficient approach for predicting the nonlinear vibrations of a beam system subjected to multipoint correlated random excitation8 cited

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