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Structural Reliability Applications of Nonstationary Spectral Characteristics
13 references·13 citing·40 second hop
Structural Reliability Applications of Nonstationary Spectral Characteristics (2010)Structural Reliability Applications of No…Random Vibrations: Analysis of Structural and Mechanical Systems (2011)Random Vibrations: Analysis o…System reliability analysis by enhanced Monte Carlo simulation (2009)System reliability analysis b…Tail-equivalent linearization method for nonlinear random vibration (2006)Tail-equivalent linearization…Application of line sampling simulation method to reliability benchmark problems (2006)Application of line sampling …Hybrid Subset Simulation method for reliability estimation of dynamical systems subject to stochastic excitation (2005)Hybrid Subset Simulation meth…Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting (2004)Reliability estimation for dy…First excursion probabilities for linear systems by very efficient importance sampling (2001)First excursion probabilities…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Efficient path integration methods for nonlinear dynamic systems (2000)Efficient path integration me…Vector Process Out‐Crossing as Parallel System Sensitivity Measure (1991)Vector Process Out‐Crossing a…Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…First-crossing probabilities of the linear oscillator (1970)First-crossing probabilities …Simulation of Nonstationary Random Process (1967)Simulation of Nonstationary R…Survival probability determination of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitation (2023)Survival probability determin…Direct convolution integration method for random vibration analysis of structures subjected to nonuniformly modulated nonstationary excitations (2022)Direct convolution integratio…Series System Reliability of Uncertain Linear Structures under Gaussian Excitation by Cross Entropy–Based Importance Sampling (2021)Series System Reliability of …Reliability analysis of a class of stochastically excited nonlinear Markovian jump systems (2021)Reliability analysis of a cla…An exact and efficient time-domain method for random vibration analysis of linear structures subjected to uniformly modulated or fully non-stationary excitations (2020)An exact and efficient time-d…Hilbert Transform–Based Stochastic Averaging Technique for Determining the Survival Probability of Nonlinear Oscillators (2019)Hilbert Transform–Based Stoch…First passage probability assessment of stationary non-Gaussian process using the third-order polynomial transformation (2018)First passage probability ass…Nonlinear MDOF system Survival Probability Determination Subject to Evolutionary Stochastic Excitation (2016)Nonlinear MDOF system Surviva…Softening Duffing Oscillator Reliability Assessment Subject to Evolutionary Stochastic Excitation (2015)Softening Duffing Oscillator …Survival Probability Determination of Nonlinear Oscillators Subject to Evolutionary Stochastic Excitation (2013)Survival Probability Determin…Structural Reliability Sensitivities under Nonstationary Random Vibrations (2013)Structural Reliability Sensit…Identification of critical samples of stochastic processes towards feasible structural reliability applications (2013)Identification of critical sa…New Analytical Solution of the First-Passage Reliability Problem for Linear Oscillators (2011)New Analytical Solution of th…Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)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)Application of Structural Systems Reliability Theory (1986)Reliability-based Structural Design (2006)A new adaptive response surface method for reliability analysis (2012)Adaptive surrogate model with active refinement combining Kriging and a trust region method (2017)Risk and Reliability Analysis: Theory and Applications (2017)Structural Reliability Analysis and Prediction (2017)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)Non-Normal Dependent Vectors in Structural Safety (1981)Second‐Order Reliability Approximations (1987)Nonlinear Vibration Models for Extremes and Fatigue (1988)A Time-Variant Reliability Analysis Method Based on Stochastic Process Discretization (2014)First order reliability method for time-variant problems using series expansions (2014)Some First-Passage Problems in Random Vibration (1966)First-passage probabilities for randomly excited systems: Diffusion methods (1986)Dynamic response and reliability analysis of structures with uncertain parameters (2004)A new adaptive importance sampling scheme for reliability calculations (1999)A critical appraisal of reliability estimation procedures for high dimensions (2004)Benchmark study on reliability estimation in higher dimensions of structural systems – An overview (2006)Hybrid enhanced Monte Carlo simulation coupled with advanced machine learning approach for accurate and efficient structural reliability analysis (2021)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)Stochastic Dynamics of Marine Structures (2012)Time-dependent reliability analysis with joint upcrossing rates (2013)Random field finite elements (1986)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Dynamic response and reliability analysis of non-linear stochastic structures (2004)Reliability engineering (2011)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)
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References

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  • 1976Probabilistic Theory of Structural Dynamics1,398 cited
  • 2011Random Vibrations: Analysis of Structural and Mechanical Systems473 cited
  • 1967Simulation of Nonstationary Random Process342 cited
  • 2006Application of line sampling simulation method to reliability benchmark problems292 cited
  • 2001First excursion probabilities for linear systems by very efficient importance sampling282 cited
  • 2000Efficient path integration methods for nonlinear dynamic systems250 cited
  • 2009System reliability analysis by enhanced Monte Carlo simulation212 cited
  • 1991Vector Process Out‐Crossing as Parallel System Sensitivity Measure201 cited
  • 1970First-crossing probabilities of the linear oscillator168 cited
  • 2006Tail-equivalent linearization method for nonlinear random vibration166 cited
  • 2004Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting135 cited
  • 2005Hybrid Subset Simulation method for reliability estimation of dynamical systems subject to stochastic excitation101 cited

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  • 2013Survival Probability Determination of Nonlinear Oscillators Subject to Evolutionary Stochastic Excitation

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44 cited
  • 2011New Analytical Solution of the First-Passage Reliability Problem for Linear Oscillators30 cited
  • 2019Hilbert Transform–Based Stochastic Averaging Technique for Determining the Survival Probability of Nonlinear Oscillators28 cited
  • 2023Survival probability determination of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitation21 cited
  • 2021Reliability analysis of a class of stochastically excited nonlinear Markovian jump systems20 cited
  • 2016Nonlinear MDOF system Survival Probability Determination Subject to Evolutionary Stochastic Excitation19 cited
  • 2020An exact and efficient time-domain method for random vibration analysis of linear structures subjected to uniformly modulated or fully non-stationary excitations17 cited
  • 2018First passage probability assessment of stationary non-Gaussian process using the third-order polynomial transformation17 cited
  • 2022Direct convolution integration method for random vibration analysis of structures subjected to nonuniformly modulated nonstationary excitations13 cited
  • 2015Softening Duffing Oscillator Reliability Assessment Subject to Evolutionary Stochastic Excitation12 cited
  • 2013Identification of critical samples of stochastic processes towards feasible structural reliability applications10 cited
  • 2013Structural Reliability Sensitivities under Nonstationary Random Vibrations10 cited
  • 2021Series System Reliability of Uncertain Linear Structures under Gaussian Excitation by Cross Entropy–Based Importance Sampling7 cited