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Approximate analysis of non-linear stochastic systems
0 references·16 citing·46 second hop
Approximate analysis of non-linear stochastic systems (1976)Approximate analysis of non-linear stocha…Two Efficient AK-Based Global Reliability Sensitivity Methods by Elaborative Combination of Bayes’ Theorem and the Law of Total Expectation in the Successive Intervals Without Overlapping (2019)Two Efficient AK-Based Global…An efficient global reliability sensitivity analysis algorithm based on classification of model output and subset simulation (2018)An efficient global reliabili…A reliability analysis method based on analytical expressions of the first four moments of the surrogate model of the performance function (2018)A reliability analysis method…Borgonovo moment independent global sensitivity analysis by Gaussian radial basis function meta-model (2017)Borgonovo moment independent …Probabilistic solutions of some multi-degree-of-freedom nonlinear stochastic dynamical systems excited by filtered Gaussian white noise (2014)Probabilistic solutions of so…Finite element solution of Fokker–Planck equation of nonlinear oscillators subjected to colored non-Gaussian noise (2014)Finite element solution of Fo…The Probabilistic Solutions to Nonlinear Random Vibrations of Multi-Degree-of-Freedom Systems (1999)The Probabilistic Solutions t…Multi-Gaussian closure method for randomly excited non-linear systems (1998)Multi-Gaussian closure method…Response spectral densities of strongly nonlinear systems under random excitation (1997)Response spectral densities o…A method for the probabilistic analysis of nonlinear systems (1995)A method for the probabilisti…Response of Linear and Non-Linear Structural Systems under Gaussian or Non-Gaussian Filtered Input (1993)Response of Linear and Non-Li…Dynamic response of non-linear systems to poisson-distributed random impulses (1992)Dynamic response of non-linea…A new approximate solution technique for randomly excited non-linear oscillators—II (1992)A new approximate solution te…Prediction of the response of non-linear oscillators under stochastic parametric and external excitations (1987)Prediction of the response of…Comparison of Gaussian closure technique and equivalent linearization method (1987)Comparison of Gaussian closur…Non-Gaussianclosure techniques for stationary random vibration (1985)Non-Gaussianclosure technique…Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Numerical solution of stochastic differential equations (2016)Probabilistic solutions of nonlinear oscillators excited by combined colored and white noise excitations (2016)Probabilistic solutions of nonlinear oscillators to subject random colored noise excitations (2016)Stochastic response of nonlinear oscillators under non-homogeneous Poisson white noise excitations (2024)Probabilistic Theory of Structural Dynamics (1976)Exact and approximate solutions for randomly excited MDOF non-linear systems (1996)Polynomial Correlated Function Expansion for Nonlinear Stochastic Dynamic Analysis (2014)Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Dynamic response of non-linear systems to poisson-distributed pulse trains: Markov approach (1990)Stochastic Differential Calculus (1993)Solution techniques for pulse problems in non-linear stochastic dynamics (2000)Stochastic Differential Equations (2006)Non-gaussian closure for random vibration of non-linear oscillators (1980)A functional series expansion method for response analysis of non-linear systems subjected to random excitations (1987)The non-stationary response probability density functions of non-linearly damped oscillators subjected to white noise excitations (1990)Equivalent Statistical Quadratization for Nonlinear Systems (1991)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)Numerical solution of stochastic differential equations (1994)Stationary Response Probability Distribution of SDOF Nonlinear Stochastic 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combining active learning Kriging and Monte Carlo simulation for profust failure probability (2019)New Importance Measures Based on Failure Probability in Global Sensitivity Analysis of Reliability (2021)Structural Reliability Methods (1996)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)A single-loop Kriging surrogate model method by considering the first failure instant for time-dependent reliability analysis and safety lifetime analysis (2020)Adaptive Bayesian quadrature based statistical moments estimation for structural reliability analysis (2020)An improved high order moment-based saddlepoint approximation method for reliability analysis (2020)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Quantile based global sensitivity measures (2018)Line sampling-based local and global reliability sensitivity analysis (2019)Hybrid reliability analysis with incomplete interval data based on adaptive Kriging (2023)Probability density function for stochastic response of non-linear oscillation system under random excitation (2010)Multimodal ellipsoid model for non-probabilistic structural uncertainty quantification and propagation (2021)
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  • 1985Non-Gaussianclosure techniques for stationary random vibration66 cited
  • 1992A new approximate solution technique for randomly excited non-linear oscillators—II65 cited
  • 1992Dynamic response of non-linear systems to poisson-distributed random impulses58 cited
  • 2018A reliability analysis method based on analytical expressions of the first four moments of the surrogate model of the performance function56 cited
  • 2017Borgonovo moment independent global sensitivity analysis by Gaussian radial basis function meta-model47 cited
  • 2014Finite element solution of Fokker–Planck equation of nonlinear oscillators subjected to colored non-Gaussian noise40 cited
  • 1998Multi-Gaussian closure method for randomly excited non-linear systems39 cited
  • 2014Probabilistic solutions of some multi-degree-of-freedom nonlinear stochastic dynamical systems excited by filtered Gaussian white noise34 cited
  • 1999The Probabilistic Solutions to Nonlinear Random Vibrations of Multi-Degree-of-Freedom Systems34 cited
  • 2018An efficient global reliability sensitivity analysis algorithm based on classification of model output and subset simulation33 cited
  • 1997Response spectral densities of strongly nonlinear systems under random excitation29 cited
  • 1987Prediction of the response of non-linear oscillators under stochastic parametric and external excitations29 cited
  • 1987

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Comparison of Gaussian closure technique and equivalent linearization method
27 cited
  • 1995A method for the probabilistic analysis of nonlinear systems27 cited
  • 1993Response of Linear and Non-Linear Structural Systems under Gaussian or Non-Gaussian Filtered Input22 cited
  • 2019Two Efficient AK-Based Global Reliability Sensitivity Methods by Elaborative Combination of Bayes’ Theorem and the Law of Total Expectation in the Successive Intervals Without Overlapping19 cited