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DYNAMIC STIFFNESS METHOD FOR CIRCULAR STOCHASTIC TIMOSHENKO BEAMS: RESPONSE VARIABILITY AND RELIABILITY ANALYSES
16 references·9 citing·34 second hop
DYNAMIC STIFFNESS METHOD FOR CIRCULAR STOCHASTIC TIMOSHENKO BEAMS: RESPONSE VARIABILITY AND RELIABILITY ANALYSES (2002)DYNAMIC STIFFNESS METHOD FOR CIRCULAR STO…Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998 (1999)Progress in Structural Dynami…A state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Weighted Integral Method. I: Stochastic Stiffness Matrix (1991)Weighted Integral Method. I: …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Adaptive Importance Sampling (1990)Adaptive Importance SamplingThe stochastic finite element method in structural reliability (1988)The stochastic finite element…Structural Response Variability II (1988)Structural Response Variabili…Neumann Expansion for Stochastic Finite Element Analysis (1988)Neumann Expansion for Stochas…Adaptive sampling — an iterative fast Monte Carlo procedure (1988)Adaptive sampling — an iterat…The stochastic finite element method in structural reliability (1987)The stochastic finite element…A critical appraisal of methods to determine failure probabilities (1987)A critical appraisal of metho…Structural Reliability under Incomplete Probability Information (1986)Structural Reliability under …Random fields and stochastic finite elements (1986)Random fields and stochastic …Introduction to Random Vibrations (1983)Introduction to Random Vibrat…The stochastic finite-element method (1980)The stochastic finite-element…Stochastic dynamic stiffness for damped taut membranes (2021)Stochastic dynamic stiffness …Uncertainty quantification of bladed disc systems using data driven stochastic reduced order models (2020)Uncertainty quantification of…Stochastic time domain spectral element analysis of beam structures (2018)Stochastic time domain spectr…Static and dynamic analysis of sandwich panel with spatially varying non-Gaussian properties (2018)Static and dynamic analysis o…Analysis of CFRP laminated plates with spatially varying non-Gaussian inhomogeneities using SFEM (2014)Analysis of CFRP laminated pl…Stochastic finite element analysis of layered composite beams with spatially varying non-Gaussian inhomogeneities (2013)Stochastic finite element ana…Monte–Carlo Based Method for Predicting Extreme Value Statistics of Uncertain Structures (2010)Monte–Carlo Based Method for …Probability Distribution of Extremes of Von Mises Stress in Randomly Vibrating Structures (2005)Probability Distribution of E…Spectral finite elements for vibrating rods and beams with random field properties (2003)Spectral finite elements for …Small sample sensitivity analysis techniques for computer models.with an application to risk assessment (1980)Simulation and the Monte Carlo Method (1981)A benchmark study on importance sampling techniques in structural reliability (1993)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)MCMC algorithms for Subset Simulation (2015)Simulation and the Monte Carlo Method (2016)Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Narrow Reliability Bounds for Structural Systems (1979)Reliability analysis—a review and some perspectives (2001)Digital simulation of random processes and its applications (1972)Monte Carlo solution of structural dynamics (1972)Stochastic Finite Element Expansion for Random Media (1989)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Non-Normal Dependent Vectors in Structural Safety (1981)Second‐Order Reliability Approximations (1987)Bayesian Updating with Structural Reliability Methods (2014)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)Stochastic Dynamics and Control (2006)Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007)Random field finite elements (1986)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)The PHI2 method: a way to compute time-variant reliability (2003)A survey on approaches for reliability-based optimization (2010)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1986Structural Reliability under Incomplete Probability Information853 cited
  • 1993Optimal Discretization of Random Fields728 cited
  • 1980The stochastic finite-element method641 cited
  • 1988The stochastic finite element method in structural reliability519 cited
  • 1988Neumann Expansion for Stochastic Finite Element Analysis496 cited
  • 1988Adaptive sampling — an iterative fast Monte Carlo procedure464 cited
  • 1987A critical appraisal of methods to determine failure probabilities436 cited
  • 1983Introduction to Random Vibrations433 cited
  • 1997A state-of-the-art report on computational stochastic mechanics424 cited
  • 1987The stochastic finite element method in structural reliability393 cited
  • 1986Random fields and stochastic finite elements307 cited
  • 1991Weighted Integral Method. I: Stochastic Stiffness Matrix157 cited
  • 1999Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998151 cited
  • 1990Adaptive Importance Sampling138 cited
  • 1988Structural Response Variability II

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130 cited

Cited by

  • 2013Stochastic finite element analysis of layered composite beams with spatially varying non-Gaussian inhomogeneities27 cited
  • 2003Spectral finite elements for vibrating rods and beams with random field properties26 cited
  • 2014Analysis of CFRP laminated plates with spatially varying non-Gaussian inhomogeneities using SFEM22 cited
  • 2020Uncertainty quantification of bladed disc systems using data driven stochastic reduced order models20 cited
  • 2005Probability Distribution of Extremes of Von Mises Stress in Randomly Vibrating Structures20 cited
  • 2021Stochastic dynamic stiffness for damped taut membranes14 cited
  • 2010Monte–Carlo Based Method for Predicting Extreme Value Statistics of Uncertain Structures14 cited
  • 2018Stochastic time domain spectral element analysis of beam structures12 cited
  • 2018Static and dynamic analysis of sandwich panel with spatially varying non-Gaussian properties10 cited