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Stochastic FEM Based on Local Averages of Random Vector Fields
6 references·16 citing·42 second hop
Stochastic FEM Based on Local Averages of Random Vector Fields (1992)Stochastic FEM Based on Local Averages of…Response Variability Of Stochastic Finite Element Systems (1988)Response Variability Of Stoch…Neumann Expansion for Stochastic Finite Element Analysis (1988)Neumann Expansion for Stochas…Random field finite elements (1986)Random field finite elementsProbabilistic finite elements for nonlinear structural dynamics (1986)Probabilistic finite elements…Stochastic Finite Element Analysis of Simple Beams (1983)Stochastic Finite Element Ana…Impact Loading on Structures with Random Properties (1972)Impact Loading on Structures …Stochastic buckling behaviour of laminated composite structures with uncertain material properties (2017)Stochastic buckling behaviour…Variability of dynamic responses of frequency dependent visco-elastic sandwich beams with material and physical properties modeled by spatial random fields (2016)Variability of dynamic respon…Polynomial chaos expansion in structural dynamics: Accelerating the convergence of the first two statistical moment sequences (2015)Polynomial chaos expansion in…Transient Response of Structural Dynamic Systems with Parametric Uncertainty (2013)Transient Response of Structu…Reliability and Sensitivity Analysis of Transonic Flutter Using Improved Line Sampling Technique (2009)Reliability and Sensitivity A…Probabilistic free vibration and flutter analyses of suspension bridges (2005)Probabilistic free vibration …Effect of multiple uncertain material properties on the response variability of in-plane and plate structures (2005)Effect of multiple uncertain …A formulation for stochastic finite element analysis of plate structures with uncertain Poisson's ratio (2004)A formulation for stochastic …Probabilistic dynamic analysis of truss structures (2002)Probabilistic dynamic analysi…An efficient 3D stochastic finite element method (2002)An efficient 3D stochastic fi…Analysis of a curved beam on uncertain elastic foundation (2000)Analysis of a curved beam on …A stochastic finite element method for fatigue reliability analysis of gear teeth subjected to bending (1998)A stochastic finite element m…A stochastic finite element dynamic analysis of structures with uncertain parameters (1998)A stochastic finite element d…Stochastic finite element simulation of random structure on uncertain foundation under random loading (1996)Stochastic finite element sim…Improved finite element method for stochastic problems (1995)Improved finite element metho…Variability Response Functions of Stochastic Plane Stress/Strain Problems (1994)Variability Response Function…Stochastic Finite Elements: A Spectral Approach (1991)The stochastic finite element method: Past, present and future (2008)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Uncertainty propagation of frequency response functions using a multi-output Gaussian Process model (2019)A Kriging–NARX Model for Uncertainty Quantification of Nonlinear Stochastic Dynamical Systems in Time Domain (2020)Stochastic Oblique Impact on Composite Laminates: A Concise Review and Characterization of the Essence of Hybrid Machine Learning Algorithms (2020)Polynomial Chaos in Stochastic Finite Elements (1990)An efficient third-moment saddlepoint approximation for probabilistic uncertainty analysis and reliability evaluation of structures (2013)Probabilistic machine learning approach to reliability analysis of a bogie frame under dynamic loading (2023)Finite Element Methods in Probabilistic Structural Analysis: A Selective Review (1988)Wind-excited response of structures with uncertain parameters (1997)Vibration analysis of a beam with an internal hinge subjected to a random moving oscillator (2005)Gaussian process emulators for the stochastic finite element method (2011)Random Fields: Analysis and Synthesis (1983)Flexibility-based upper bounds on the response variability of simple beams (2004)Reliability analysis of randomly vibrating structures with parameter uncertainties (2006)Spectral representation-based neural network assisted stochastic structural mechanics (2014)ON STATIONARY PROCESSES IN THE PLANE (1954)Fractional Brownian Motions, Fractional Noises and Applications (1968)The stochastic finite element method in structural reliability (1987)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Maximum entropy approach for modeling random uncertainties in transient elastodynamics (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)Probability Concepts in Engineering Planning and Design (1975)Probabilistic Theory of Structural Dynamics (1976)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Simulation of Multivariate and Multidimensional Random Processes (1971)Simulation of Stochastic Fields by Statistical Preconditioning (1990)Weighted integral method in stochastic finite element analysis (1990)Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation (2000)Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation (1996)A new stochastic approach to transient heat conduction modeling with uncertainty (2003)A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics (2005)
this work references cited by second hop

References

  • 1986Random field finite elements645 cited
  • 1988Neumann Expansion for Stochastic Finite Element Analysis496 cited
  • 1983Stochastic Finite Element Analysis of Simple Beams439 cited
  • 1986Probabilistic finite elements for nonlinear structural dynamics396 cited
  • 1988Response Variability Of Stochastic Finite Element Systems236 cited
  • 1972Impact Loading on Structures with Random Properties106 cited

Cited by

  • 1995Improved finite element method for stochastic problems75 cited
  • 2015Polynomial chaos expansion in structural dynamics: Accelerating the convergence of the first two statistical moment sequences59 cited
  • 1998A stochastic finite element method for fatigue reliability analysis of gear teeth subjected to bending48 cited
  • 1994Variability Response Functions of Stochastic Plane Stress/Strain Problems44 cited
  • 2017Stochastic buckling behaviour of laminated composite structures with uncertain material properties43 cited
  • 2004A formulation for stochastic finite element analysis of plate structures with uncertain Poisson's ratio42 cited
  • 1998A stochastic finite element dynamic analysis of structures with uncertain parameters39 cited
  • 2013Transient Response of Structural Dynamic Systems with Parametric Uncertainty38 cited

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  • 2005Probabilistic free vibration and flutter analyses of suspension bridges32 cited
  • 2016Variability of dynamic responses of frequency dependent visco-elastic sandwich beams with material and physical properties modeled by spatial random fields31 cited
  • 2002Probabilistic dynamic analysis of truss structures31 cited
  • 2002An efficient 3D stochastic finite element method30 cited
  • 1996Stochastic finite element simulation of random structure on uncertain foundation under random loading30 cited
  • 2000Analysis of a curved beam on uncertain elastic foundation28 cited
  • 2009Reliability and Sensitivity Analysis of Transonic Flutter Using Improved Line Sampling Technique23 cited
  • 2005Effect of multiple uncertain material properties on the response variability of in-plane and plate structures23 cited