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Stochastic averaging: An approximate method of solving random vibration problems
0 references·16 citing·50 second hop
Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic averaging: An approximate meth…A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations (2022)A unified formalism of the GE…Dimension-reduced FPK equation for additive white-noise excited nonlinear structures (2018)Dimension-reduced FPK equatio…Approximate survival probability determination of hysteretic systems with fractional derivative elements (2017)Approximate survival probabil…Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements (2016)Galerkin Scheme-Based Determi…Stochastic response analysis of the softening Duffing oscillator and ship capsizing probability determination via a numerical path integral approach (2013)Stochastic response analysis …Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach (2012)Response and First-Passage St…Nonlinear MDOF system stochastic response determination via a dimension reduction approach (2012)Nonlinear MDOF system stochas…An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)An analytical Wiener path int…Stochastic Dynamics and Control (2006)Stochastic Dynamics and Contr…Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects (2006)Modeling Multibody Systems wi…Approximate solution of the Fokker–Planck–Kolmogorov equation (2002)Approximate solution of the F…Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Response statistics of nonlin…Probabilistic engineering mechanics (1993)Probabilistic engineering mec…The dynamics of speculative behaviour (1992)The dynamics of speculative b…A new approximate solution technique for randomly excited non-linear oscillators—II (1992)A new approximate solution te…Nonlinear Vibration Models for Extremes and Fatigue (1988)Nonlinear Vibration Models fo…Probabilistic Theory of Structural Dynamics (1976)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Stochastic controls : Hamiltonian systems and HJB equations (1999)Linear quadratic regulation of systems with stochastic parameter uncertainties (2009)Dimension Reduction of the FPK Equation via an Equivalence of Probability Flux for Additively Excited Systems (2014)Random vibration analysis with radial basis function neural networks (2021)STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS (1976)Stochastic Differential Equations: Theory and Applications. 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  • 1988Nonlinear Vibration Models for Extremes and Fatigue535 cited
  • 1992The dynamics of speculative behaviour334 cited
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  • 2011An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators181 cited
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  • 2006Stochastic Dynamics and Control149 cited
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  • 2012Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach101 cited
  • 2022A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations88 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
  • 2013Stochastic response analysis of the softening Duffing oscillator and ship capsizing probability determination via a numerical path integral approach

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68 cited
  • 1992A new approximate solution technique for randomly excited non-linear oscillators—II65 cited
  • 2012Nonlinear MDOF system stochastic response determination via a dimension reduction approach62 cited
  • 2018Dimension-reduced FPK equation for additive white-noise excited nonlinear structures56 cited