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Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration
14 references·2 citing·39 second hop
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration (2022)Response of nonlinear oscillators with fr…Approximate survival probability determination of hysteretic systems with fractional derivative elements (2017)Approximate survival probabil…GPU computing for accelerating the numerical Path Integration approach (2016)GPU computing for acceleratin…Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements (2016)Galerkin Scheme-Based Determi…Path integral solution for nonlinear systems under parametric Poissonian white noise input (2015)Path integral solution for no…Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral (2014)Stochastic response determina…Nonlinear Random Vibrations of Beams with Fractional Derivative Elements (2014)Nonlinear Random Vibrations o…Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach (2012)Response and First-Passage St…Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method (2010)Probabilistic response of non…Path integral solution for non-linear system enforced by Poisson White Noise (2008)Path integral solution for no…Response probability density functions of strongly non-linear systems by the path integration method (2006)Response probability density …Stochastic Averaging of Preisach Hysteretic Systems (2004)Stochastic Averaging of Preis…Equivalent linearization and Monte Carlo simulation in stochastic dynamics (2003)Equivalent linearization and …Efficient path integration methods for nonlinear dynamic systems (2000)Efficient path integration me…Stationary and non-stationary random vibration of oscillators with bilinear hysteresis (1996)Stationary and non-stationary…Efficient path integral approach via analytical asymptotic expansion for nonlinear systems under Gaussian white noise (2024)Efficient path integral appro…Response and reliability of suspension system under stochastic and periodic track excitations by path integral method (2023)Response and reliability of s…Simulation and the Monte Carlo Method (1981)Stochastic Finite Elements: A Spectral Approach (1991)A half-century of stochastic equivalent linearization (2005)Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory (2005)Application of spherical subset simulation method and auxiliary domain method on a benchmark reliability study (2007)Simulation and the Monte Carlo Method (2016)Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Simulation of Stochastic Processes by Spectral Representation (1991)Nonlinear random vibrations of plates endowed with fractional derivative elements (2017)Nonlinear Random Vibrations of Beams with In-Span Supports via Statistical Linearization with Constrained Modes (2019)Probabilistic Theory of Structural Dynamics (1976)STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS (1976)Stochastic Differential Equations: Theory and Applications. 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References

  • 2000Efficient path integration methods for nonlinear dynamic systems250 cited
  • 2003Equivalent linearization and Monte Carlo simulation in stochastic dynamics152 cited
  • 2014Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral128 cited
  • 2012Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach101 cited
  • 2008Path integral solution for non-linear system enforced by Poisson White Noise85 cited
  • 2010Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method83 cited
  • 2016Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements72 cited
  • 2017Approximate survival probability determination of hysteretic systems with fractional derivative elements72 cited
  • 2006Response probability density functions of strongly non-linear systems by the path integration method63 cited
  • 2014Nonlinear Random Vibrations of Beams with Fractional Derivative Elements55 cited
  • 2004Stochastic Averaging of Preisach Hysteretic Systems45 cited
  • 2015Path integral solution for nonlinear systems under parametric Poissonian white noise input44 cited
  • 2016GPU computing for accelerating the numerical Path Integration approach43 cited
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Stationary and non-stationary random vibration of oscillators with bilinear hysteresis
35 cited

Cited by

  • 2024Efficient path integral approach via analytical asymptotic expansion for nonlinear systems under Gaussian white noise22 cited
  • 2023Response and reliability of suspension system under stochastic and periodic track excitations by path integral method13 cited