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Stability and reliability analysis of nonlinear stochastic system using data-driven dimensional analysis method
4 references·0 citing·14 second hop
Stability and reliability analysis of nonlinear stochastic system using data-driven dimensional analysis method (2024)Stability and reliability analysis of non…First-passage probability estimation of high-dimensional nonlinear stochastic dynamic systems by a fractional moments-based mixture distribution approach (2022)First-passage probability est…Spherical subset simulation (S³) for solving non-linear dynamical reliability problems (2010)Spherical subset simulation (…Dimensional Analysis and Intelligent Experimentation (2008)Dimensional Analysis and Inte…Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Probabilistic Structural Dyna…Estimation of small failure probabilities in high dimensions by subset simulation (2001)First excursion probabilities for linear systems by very efficient importance sampling (2001)Important sampling in high dimensions (2002)Integrating subset simulation with probabilistic re-analysis to estimate reliability of dynamic systems (2013)On the evaluation of multiple failure probability curves in reliability analysis with multiple performance functions (2017)Experimental estimation of time variant system reliability of vibrating structures based on subset simulation with Markov chain splitting (2018)Method for Random Vibration of Hysteretic Systems (1976)Stochastic Dynamics of Structures (2009)A conditional extreme value distribution method for dynamic reliability analysis of stochastic structures (2023)A novel maximum entropy method based on the B-spline theory and the low-discrepancy sequence for complex probability distribution reconstruction (2023)First excursion probability of dynamical systems: A review on computational methods (2025)Applications of Hilbert–Huang transform to non‐stationary financial time series analysis (2003)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The principle of preservation of probability and the generalized density evolution equation (2006)
this work references cited by second hop

References

  • 1967Probabilistic Structural Dynamics: Advanced Theory and Applications629 cited
  • 2008Dimensional Analysis and Intelligent Experimentation57 cited
  • 2022First-passage probability estimation of high-dimensional nonlinear stochastic dynamic systems by a fractional moments-based mixture distribution approach33 cited
  • 2010Spherical subset simulation (S³) for solving non-linear dynamical reliability problems22 cited

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