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A functional series expansion method for response analysis of non-linear systems subjected to random excitations
9 references·2 citing·25 second hop
A functional series expansion method for response analysis of non-linear systems subjected to random excitations (1987)A functional series expansion method for …Stochastic Linearization in Structural Dynamics (1988)Stochastic Linearization in S…Non-Gaussianclosure techniques for stationary random vibration (1985)Non-Gaussianclosure technique…Techniques for Nonlinear Random Vibration Problems (1984)Techniques for Nonlinear Rand…Random Vibration: A Survey of Recent Developments (1983)Random Vibration: A Survey of…Application of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator (1983)Application of Wiener-Hermite…Literature Review : Response of Nonlinear Mechanical Systems To Random Excitation Part I: Markov Methods (1981)Literature Review : Response …Non-gaussian closure for random vibration of non-linear oscillators (1980)Non-gaussian closure for rand…Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique (1978)Study of the Random Vibration…Approximate Method for Nonlinear Random Vibration (1975)Approximate Method for Nonlin…Methods of nonlinear random vibration analysis (1995)Methods of nonlinear random v…A comparison between non-gaussian closure and statistical linearization techniques for random vibration of a nonlinear oscillator (1987)A comparison between non-gaus…Approximate analysis of non-linear stochastic systems (1976)Equivalent Statistical Quadratization for Nonlinear Systems (1991)Probabilistic Theory of Structural Dynamics (1976)Comparison between equivalent linearization and Gaussian closure for random vibration analysis of several nonlinear systems (1990)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)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)On loss of accuracy and non-uniqueness of solutions generated by equivalent linearization and cumulant-neglect methods (1990)Random Vibration of Flexible, Uncertain Beam Element (1991)The non-stationary response probability density functions of non-linearly damped oscillators subjected to white noise excitations (1990)A proposed technique of SFEM on solving ordinary random differential equation (2004)The approximate solutions of some stochastic differential equations using transformations (2004)Stochastic dynamic response analysis and reliability assessment of non-linear structures under fully non-stationary ground motions (2019)Comparison of Gaussian closure technique and equivalent linearization method (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)Response Statistics of Nonlinear Dynamic Systems by Path Integration (1992)Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory (2005)
this work references cited by second hop

References

  • 1988Stochastic Linearization in Structural Dynamics196 cited
  • 1980Non-gaussian closure for random vibration of non-linear oscillators153 cited
  • 1975Approximate Method for Nonlinear Random Vibration147 cited
  • 1978Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique135 cited
  • 1983Random Vibration: A Survey of Recent Developments122 cited
  • 1985Non-Gaussianclosure techniques for stationary random vibration66 cited
  • 1983Application of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator65 cited
  • 1981Literature Review : Response of Nonlinear Mechanical Systems To Random Excitation Part I: Markov Methods50 cited
  • 1984Techniques for Nonlinear Random Vibration Problems30 cited

Cited by

  • 1987A comparison between non-gaussian closure and statistical linearization techniques for random vibration of a nonlinear oscillator20 cited
  • 1995Methods of nonlinear random vibration analysis11 cited

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