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Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics
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Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics (2010)Nonclassical Linearization Criteria in No…Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory (2005)Linearization in Analysis of …Linearization in Analysis of Nonlinear Stochastic Systems, Recent Results—Part II: Applications (2005)Linearization in Analysis of …Stochastic Linearization Technique: A New Interpretation and a Selective Review (2000)Stochastic Linearization Tech…A new stochastic equivalent linearization implementation for prediction of geometrically nonlinear vibrations (1999)A new stochastic equivalent l…Random vibration of a nonlinearly deformed beam by a new stochastic linearization technique (1995)Random vibration of a nonline…Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method (1995)Nonlinear response of a beam …Modified stochastic linearization technique for colored noise excitation of Duffing oscillator (1994)Modified stochastic lineariza…Analysis of nonlinear sliding structures by modified stochastic linearization methods (1994)Analysis of nonlinear sliding…A new philosophy for stochastic equivalent linearization (1993)A new philosophy for stochast…Nonlinear Stochastic Mechanics (1992)Nonlinear Stochastic MechanicsStochastic Structural Dynamics 2 (1991)Stochastic Structural Dynamic…Literature Review : Response of Nonlinear Mechanical Systems To Random Excitation Part I: Markov Methods (1981)Literature Review : Response …Principle of Normal Tail Approximation (1981)A dual criterion of stochastic linearization method for multi-degree-of-freedom systems subjected to random excitation (2012)Dual approach to local mean square error criterion for stochastic equivalent linearization (2012)Simulation of Stochastic Processes by Sinc Basis Functions and Application in TELM Analysis (2017)Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Computational Stochastic Mechanics (1991)Extension of the regulated stochastic linearization to beam vibrations (2013)Applied non-Gaussian processes : examples, theory, simulation, linear random vibration, and MATLAB solutions (1995)Stochastic Analysis (1997)The Duffing oscillator under combined periodic and random excitations (2012)Sixty years of stochastic linearization technique (2016)Random Vibration of Mechanical and Structural Systems (1992)Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations (2019)Method for Random Vibration of Hysteretic Systems (1976)Probabilistic Theory of Structural Dynamics (1976)Stochastic averaging: An approximate method of solving random vibration problems (1986)Modified Path Integral Solution of Fokker–Planck Equation: Response and Bifurcation of Nonlinear Systems (2009)Comparison of Nonlinear Random Response Using Equivalent Linearization and Numerical Simulation (2000)Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes (2002)A novel local stochastic linearization method via two extremum entropy principles (2002)A non-Gaussian stochastic linearization method (2006)Application and extension of the stochastic linearization by Anh and Di Paola (2008)The Tale of Stochastic Linearization Technique: Over Half a Century of Progress (2012)A functional series expansion method for response analysis of non-linear systems subjected to random excitations (1987)Comparison of Gaussian closure technique and equivalent linearization method (1987)A Monte Carlo simulation method for non-random vibration analysis (2017)Feedback minimization of first-passage failure of quasi non-integrable Hamiltonian systems (2002)A half-century of stochastic equivalent linearization (2005)
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References

  • 2005Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory86 cited
  • 1991Stochastic Structural Dynamics 272 cited
  • 2005Linearization in Analysis of Nonlinear Stochastic Systems, Recent Results—Part II: Applications56 cited
  • 1981Literature Review : Response of Nonlinear Mechanical Systems To Random Excitation Part I: Markov Methods50 cited
  • 2000Stochastic Linearization Technique: A New Interpretation and a Selective Review38 cited
  • 1992Nonlinear Stochastic Mechanics33 cited
  • 1993A new philosophy for stochastic equivalent linearization28 cited
  • 1995Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method27 cited
  • 1995Random vibration of a nonlinearly deformed beam by a new stochastic linearization technique25 cited
  • 1994Modified stochastic linearization technique for colored noise excitation of Duffing oscillator15 cited
  • 1999A new stochastic equivalent linearization implementation for prediction of geometrically nonlinear vibrations13 cited
  • 1994Analysis of nonlinear sliding structures by modified stochastic linearization methods9 cited

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