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Comparison of Gaussian closure technique and equivalent linearization method
9 references·4 citing·34 second hop
Comparison of Gaussian closure technique and equivalent linearization method (1987)Comparison of Gaussian closure technique …Stochastic Linearization in Structural Dynamics (1988)Stochastic Linearization in S…Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Cumulant-neglect closure for …Literature Review : Response of Nonlinear Mechanical Systems To Random Excitation Part I: Markov Methods (1981)Literature Review : Response …Formulation of Stochastic Linearization for Symmetric or Asymmetric M.D.O.F. Nonlinear Systems (1980)Formulation of Stochastic Lin…Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique (1978)Study of the Random Vibration…Method for Random Vibration of Hysteretic Systems (1976)Method for Random Vibration o…Approximate analysis of non-linear stochastic systems (1976)Approximate analysis of non-l…Approximate Method for Nonlinear Random Vibration (1975)Approximate Method for Nonlin…Application of Statistical Linearization Techniques to Nonlinear Multidegree-of-Freedom Systems (1972)Application of Statistical Li…A copula-based Gaussian mixture closure method for stochastic response of nonlinear dynamic systems (2019)A copula-based Gaussian mixtu…Probability density equivalent linearization technique for nonlinear oscillator with stochastic excitations (1998)Probability density equivalen…Stochastic linearization of MDOF systems under parametric excitations (1992)Stochastic linearization of M…Comparison between equivalent linearization and Gaussian closure for random vibration analysis of several nonlinear systems (1990)Comparison between equivalent…Probabilistic Theory of Structural Dynamics (1976)Stochastic Differential Equations: Theory and Applications. (1976)Random vibration and statistical linearization (1990)Modified stochastic linearization technique for colored noise excitation of Duffing oscillator (1994)Influences of system uncertainties on the numerical transfer path analysis of engine systems (2017)Efficient stochastic response analysis of high-dimensional nonlinear systems subject to multiplicative noise via the DR-PDEE (2025)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)Monte Carlo solution of structural dynamics (1972)Finite element methods in probabilistic mechanics (1987)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Stochastic Dynamics and Control (2006)A finite element method for the statistics of non-linear random vibration (1985)Stationary and non-stationary probability density function for non-linear oscillators (1997)Approximate solution of the Fokker–Planck–Kolmogorov equation (2002)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)The equivalent extreme-value event and evaluation of the structural system reliability (2006)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)An Improved Closure Method for Analysis of Nonlinear Stochastic Systems (1998)Sixty years of stochastic linearization technique (2016)Dynamic reliability analysis of nonlinear structures using a Duffing-system-based equivalent nonlinear system method (2020)Methods of stochastic structural dynamics (1986)Equivalent Statistical Quadratization for Nonlinear Systems (1991)The Duffing oscillator under combined periodic and random excitations (2012)A functional series expansion method for response analysis of non-linear systems subjected to random excitations (1987)A dual criterion of stochastic linearization method for multi-degree-of-freedom systems subjected to random excitation (2012)A Monte Carlo simulation method for non-random vibration analysis (2017)Non-Gaussianclosure techniques for stationary random vibration (1985)A new approximate solution technique for randomly excited non-linear oscillators—II (1992)Dynamic response of non-linear systems to poisson-distributed random impulses (1992)Equivalent linearization for Poisson white noise input (1995)
this work references cited by second hop

References

  • 1976Method for Random Vibration of Hysteretic Systems2,686 cited
  • 1984Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations234 cited
  • 1988Stochastic Linearization in Structural Dynamics196 cited
  • 1975Approximate Method for Nonlinear Random Vibration147 cited
  • 1978Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique135 cited
  • 1972Application of Statistical Linearization Techniques to Nonlinear Multidegree-of-Freedom Systems131 cited
  • 1976Approximate analysis of non-linear stochastic systems75 cited
  • 1980Formulation of Stochastic Linearization for Symmetric or Asymmetric M.D.O.F. Nonlinear Systems63 cited
  • 1981Literature Review : Response of Nonlinear Mechanical Systems To Random Excitation Part I: Markov Methods50 cited

Cited by

  • 1992Stochastic linearization of MDOF systems under parametric excitations26 cited
  • 1990Comparison between equivalent linearization and Gaussian closure for random vibration analysis of several nonlinear systems12 cited
  • 1998Probability density equivalent linearization technique for nonlinear oscillator with stochastic excitations11 cited
  • 2019A copula-based Gaussian mixture closure method for stochastic response of nonlinear dynamic systems10 cited

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