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Operator norm-based determination of failure probability of nonlinear oscillators with fractional derivative elements subject to imprecise stationary Gaussian loads
16 references·0 citing·35 second hop
Operator norm-based determination of failure probability of nonlinear oscillators with fractional derivative elements subject to imprecise stationary Gaussian loads (2023)Operator norm-based determination of fail…Engineering analysis with probability boxes: A review on computational methods (2021)Engineering analysis with pro…Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Recent Trends in the Modeling…Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation (2019)Non-intrusive stochastic anal…Structural reliability analysis for p-boxes using multi-level meta-models (2017)Structural reliability analys…Engineering Risk Assessment with Subset Simulation (2014)Engineering Risk Assessment w…Reliability assessment in structural dynamics (2013)Reliability assessment in str…Imprecise probabilities in engineering analyses (2013)Imprecise probabilities in en…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)Recent advances in non-probab…Introduction to Stochastic Search and Optimization: Estimation, Simulation, and Control (2004)Introduction to Stochastic Se…The Design and Analysis of Computer Experiments (2003)The Design and Analysis of Co…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…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…Simulation of Nonstationary Random Process (1967)Simulation of Nonstationary R…Simulation and the Monte Carlo Method (1981)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)Fuzzy Sets and Systems - Theory and Applications (1980)Fuzzy Set Theory and Its Applications (1993)Fuzzy sets (1996)Advanced Line Sampling for efficient robust reliability analysis (2014)Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey (2020)Stochastic Finite Elements: A Spectral Approach (1991)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Fuzzy sets (1965)Guidelines for evaluating and expressing the uncertainty of NIST measurement results (2018)A state-of-the-art review on uncertainty analysis of rotor systems (2022)Stochastic Model Updating with Uncertainty Quantification: An Overview and Tutorial (2023)Nonlinear Vibration Models for Extremes and Fatigue (1988)The dynamics of speculative behaviour (1992)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Sequential importance sampling for structural reliability analysis (2016)An efficient Kriging-based subset simulation method for hybrid reliability analysis under random and interval variables with small failure probability (2019)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Markov Approximation to Transient Vibration (1983)On the spectral representation method in simulation (1993)The effect of material and thickness variability on the buckling load of shells with random initial imperfections (2004)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)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)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach (2011)A Review on Global Sensitivity Analysis Methods (2015)Sensitivity analysis: A review of recent advances (2015)
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References

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  • 1990Random vibration and statistical linearization822 cited
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  • 2021Engineering analysis with probability boxes: A review on computational methods142 cited
  • 2017Structural reliability analysis for p-boxes using multi-level meta-models110 cited
  • 2013Reliability assessment in structural dynamics102 cited
  • 2019Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation

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87 cited
  • 2004Introduction to Stochastic Search and Optimization: Estimation, Simulation, and Control78 cited
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