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Softening Duffing Oscillator Reliability Assessment Subject to Evolutionary Stochastic Excitation
16 references·0 citing·35 second hop
Softening Duffing Oscillator Reliability Assessment Subject to Evolutionary Stochastic Excitation (2015)Softening Duffing Oscillator Reliability …Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral (2014)Stochastic response determina…Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism (2014)Nonstationary Stochastic Resp…Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach (2012)Response and First-Passage St…Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination (2011)Harmonic wavelets based stati…An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)An analytical Wiener path int…Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method (2010)Probabilistic response of non…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…Reliability of Strongly Nonlinear Single Degree of Freedom Dynamic Systems by the Path Integration Method (2008)Reliability of Strongly Nonli…Path integral solution for non-linear system enforced by Poisson White Noise (2008)Path integral solution for no…Application of subset simulation methods to reliability benchmark problems (2006)Application of subset simulat…A critical appraisal of reliability estimation procedures for high dimensions (2004)A critical appraisal of relia…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Response statistics of nonlin…Random vibration and statistical linearization (1990)Random vibration and statisti…Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic averaging: An appr…Markov Approximation to Transient Vibration (1983)Markov Approximation to Trans…Random Vibration of Mechanical and Structural Systems (1992)Simulation and the Monte Carlo Method (2007)An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems (2015)Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers (2015)Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements (2016)Reliability analysis—a review and some perspectives (2001)On Latin hypercube sampling for structural reliability analysis (2002)A survey on approaches for reliability-based optimization (2010)Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)MCMC algorithms for Subset Simulation (2015)Stochastic Differential Equations: Theory and Applications. (1976)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equations—An Introduction With Applications (2006)Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)Digital simulation of random processes and its applications (1972)Method for Random Vibration of Hysteretic Systems (1976)A new path integration procedure based on Gauss-Legendre scheme (1997)Equivalent linearization and Monte Carlo simulation in stochastic dynamics (2003)Simulation of Stochastic Processes by Spectral Representation (1991)A stochastic harmonic function representation for non-stationary stochastic processes (2017)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Stochastic Dynamics of Marine Structures (2012)Nonlinear Vibration Models for Extremes and Fatigue (1988)The dynamics of speculative behaviour (1992)Benchmark study on reliability estimation in higher dimensions of structural systems – An overview (2006)Reliability engineering (2011)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)
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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1990Random vibration and statistical linearization995 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 1986Stochastic averaging: An approximate method of solving random vibration problems577 cited
  • 2004A critical appraisal of reliability estimation procedures for high dimensions476 cited
  • 2006Application of subset simulation methods to reliability benchmark problems285 cited
  • 1993Response statistics of nonlinear, compliant offshore structures by the path integral solution method187 cited
  • 2011An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators181 cited
  • 2011Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination147 cited
  • 2014Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral128 cited
  • 2012Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach101 cited
  • 2014Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism94 cited
  • 2008Path integral solution for non-linear system enforced by Poisson White Noise85 cited
  • 2010Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method

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83 cited
  • 2008Reliability of Strongly Nonlinear Single Degree of Freedom Dynamic Systems by the Path Integration Method82 cited
  • 1983Markov Approximation to Transient Vibration75 cited
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