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Response statistics of rotating shaft with non-linear elastic restoring forces by path integration
5 references·1 citing·29 second hop
Response statistics of rotating shaft with non-linear elastic restoring forces by path integration (2017)Response statistics of rotating shaft wit…GPU computing for accelerating the numerical Path Integration approach (2016)GPU computing for acceleratin…Stochastic Dynamics of Marine Structures (2012)Stochastic Dynamics of Marine…An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)An analytical Wiener path int…Response probability density functions of strongly non-linear systems by the path integration method (2006)Response probability density …Efficient path integration methods for nonlinear dynamic systems (2000)Efficient path integration me…Systematic matrix formulation for efficient computational path integration (2022)Systematic matrix formulation…Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)Probability density evolution method: Background, significance and recent developments (2015)Numerical solution of stochastic differential equations (2016)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Stochastic Differential Equations: Theory and Applications. (1976)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equations—An Introduction With Applications (2006)Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach (2012)Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism (2014)Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral (2014)Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Random Vibration of Mechanical and Structural Systems (1992)Random vibrations with strongly inelastic impacts: Response PDF by the path integration method (2009)Survival Probability Determination of Nonlinear Oscillators Subject to Evolutionary Stochastic Excitation (2013)Structural Reliability Methods (1996)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Structural Reliability Analysis and Prediction (2017)A sequential sampling strategy for extreme event statistics in nonlinear dynamical systems (2018)Environmental contours based on inverse SORM (2018)A benchmarking exercise for environmental contours (2021)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process (2020)Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration (2022)First excursion probability of dynamical systems: A review on computational methods (2025)STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS (1976)Path integration method based on a decoupling probability mapping for fast solving the stochastic response of dynamical systems (2023)A novel stochastic approach to investigate the probabilistic characteristics of the ship roll system with sinusoidal restoring force (2024)
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References

  • 2012Stochastic Dynamics of Marine Structures353 cited
  • 2000Efficient path integration methods for nonlinear dynamic systems250 cited
  • 2011An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators181 cited
  • 2006Response probability density functions of strongly non-linear systems by the path integration method63 cited
  • 2016GPU computing for accelerating the numerical Path Integration approach43 cited

Cited by

  • 2022Systematic matrix formulation for efficient computational path integration12 cited

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