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A novel stochastic approach to investigate the probabilistic characteristics of the ship roll system with sinusoidal restoring force
16 references·0 citing·39 second hop
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References

  • 1967Probabilistic Structural Dynamics: Advanced Theory and Applications629 cited
  • 1986Stochastic averaging: An approximate method of solving random vibration problems577 cited
  • 1993On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems289 cited
  • 1984Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations234 cited
  • 2006Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems157 cited
  • 2008Monte Carlo Methods for Estimating the Extreme Response of Dynamical Systems157 cited
  • 1978Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique135 cited
  • 1997Stationary and non-stationary probability density function for non-linear oscillators108 cited
  • 1987Cumulant-Neglect Closure Method for Nonlinear Systems Under Random Excitations101 cited
  • 1998An Improved Closure Method for Analysis of Nonlinear Stochastic Systems85 cited
  • 2022Bayesian post-processing of Monte Carlo simulation in reliability analysis75 cited
  • 2023Reliability assessment of stochastic dynamical systems using physics informed neural network based PDEM68 cited
  • 2022Supervised dynamic probabilistic risk assessment: Review and comparison of methods57 cited
  • 2021System-based risk analysis in a tram operating system: Integrating Monte Carlo simulation with the functional resonance analysis method

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50 cited
  • 1990The non-stationary response probability density functions of non-linearly damped oscillators subjected to white noise excitations44 cited
  • 2023Full long-term buffeting analysis of suspension bridges using Gaussian process surrogate modelling and importance sampling Monte Carlo simulations40 cited
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