SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
A stochastic Galerkin expansion for nonlinear random vibration analysis
4 references·16 citing·38 second hop
A stochastic Galerkin expansion for nonlinear random vibration analysis (1993)A stochastic Galerkin expansion for nonli…Spectral Stochastic Finite‐Element Formulation for Reliability Analysis (1991)Spectral Stochastic Finite‐El…Polynomial Chaos in Stochastic Finite Elements (1990)Polynomial Chaos in Stochasti…Stochastic Finite Element Expansion for Random Media (1989)Stochastic Finite Element Exp…Digital simulation of random processes and its applications (1972)Digital simulation of random …Consistency regularization-based deep polynomial chaos neural network method for reliability analysis (2022)Consistency regularization-ba…Incomplete statistical information limits the utility of high-order polynomial chaos expansions (2017)Incomplete statistical inform…Stochastic simulation and robust design optimization of integrated photonic filters (2016)Stochastic simulation and rob…Sixty years of stochastic linearization technique (2016)Sixty years of stochastic lin…Uncertainty quantification in natural frequencies and radiated acoustic power of composite plates: Analytical and experimental investigation (2014)Uncertainty quantification in…Stochastic free vibration of orthotropic plates using generalized polynomial chaos expansion (2011)Stochastic free vibration of …Global sensitivity analysis: A flexible and efficient framework with an example from stochastic hydrogeology (2011)Global sensitivity analysis: …A concept for data-driven uncertainty quantification and its application to carbon dioxide storage in geological formations (2011)A concept for data-driven unc…Probability density function for stochastic response of non-linear oscillation system under random excitation (2010)Probability density function …Polynomial chaos-based parameter estimation methods applied to a vehicle system (2009)Polynomial chaos-based parame…Parameter estimation for mechanical systems via an explicit representation of uncertainty (2009)Parameter estimation for mech…Response and eigenvalue analysis of stochastic finite element systems with multiple correlated material and geometric properties (2001)Response and eigenvalue analy…Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation (1998)Hybrid Stochastic Finite Elem…Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration (1998)Adaptive polynomial chaos exp…Stochastic Finite-Element Analysis of Soil Layers with Random Interface (1996)Stochastic Finite-Element Ana…On the dynamic response of non-linear systems with parameter uncertainties (1996)On the dynamic response of no…Neumann Expansion for Stochastic Finite Element Analysis (1988)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)SAMBA: Sparse Approximation of Moment-Based Arbitrary Polynomial Chaos (2016)An adaptive Kriging surrogate method for efficient uncertainty quantification with an application to geological carbon sequestration modeling (2019)Stochastic Finite Elements: A Spectral Approach (1991)The stochastic finite element method: Past, present and future (2008)Bottom up surrogate based approach for stochastic frequency response analysis of laminated composite plates (2016)Spectral stochastic finite element vibration analysis of fiber-reinforced composites with random fiber orientation (2016)State of the art of composite structures in non-deterministic framework: A review (2018)Simulation of Stochastic Processes by Spectral Representation (1991)Supersensitivity due to uncertain boundary conditions (2004)Stochastic design optimization: Application to reacting flows (2007)Numerical solution of spectral stochastic finite element systems (1996)Spectral and multiresolution Wiener expansions of oscillatory stochastic processes (2006)Polynomial Chaos-Based Analysis of Probabilistic Uncertainty in Hypersonic Flight Dynamics (2009)Metamodeling of dynamic nonlinear structural systems through polynomial chaos NARX models (2015)Second‐Order Reliability Approximations (1987)Orthogonal Series Expansions of Random Fields in Reliability Analysis (1994)Comparison of finite element reliability methods (2002)Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Factorial Sampling Plans for Preliminary Computational Experiments (1991)Global Sensitivity Analysis. The Primer (2007)Global Sensitivity Analysis for Uncertain Parameters, Models, and Scenarios (2016)Robust Subsampling ANOVA Methods for Sensitivity Analysis of Water Resource and Environmental Models (2020)The stochastic finite-element method (1980)Random data: Analysis and measurement procedures (1987)Stochastic Finite-Element Analysis for Elastic Buckling of Stiffened Panels (2001)A formulation for stochastic finite element analysis of plate structures with uncertain Poisson's ratio (2004)Stochastic buckling behaviour of laminated composite structures with uncertain material properties (2017)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)Simulation of Ergodic Multivariate Stochastic Processes (1996)An Introduction to Computational Stochastic PDEs (2014)
this work references cited by second hop

References

  • 1972Digital simulation of random processes and its applications1,663 cited
  • 1989Stochastic Finite Element Expansion for Random Media512 cited
  • 1990Polynomial Chaos in Stochastic Finite Elements416 cited
  • 1991Spectral Stochastic Finite‐Element Formulation for Reliability Analysis271 cited

Cited by

  • 2011A concept for data-driven uncertainty quantification and its application to carbon dioxide storage in geological formations106 cited
  • 1998Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration106 cited
  • 2011Stochastic free vibration of orthotropic plates using generalized polynomial chaos expansion84 cited
  • 2011Global sensitivity analysis: A flexible and efficient framework with an example from stochastic hydrogeology80 cited
  • 2001Response and eigenvalue analysis of stochastic finite element systems with multiple correlated material and geometric properties73 cited
  • 1996Stochastic Finite-Element Analysis of Soil Layers with Random Interface69 cited
  • 1998Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation61 cited
  • 2014Uncertainty quantification in natural frequencies and radiated acoustic power of composite plates: Analytical and experimental investigation55 cited
  • 2016Sixty years of stochastic linearization technique52 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

2009
Parameter estimation for mechanical systems via an explicit representation of uncertainty
42 cited
  • 2016Stochastic simulation and robust design optimization of integrated photonic filters34 cited
  • 2009Polynomial chaos-based parameter estimation methods applied to a vehicle system34 cited
  • 1996On the dynamic response of non-linear systems with parameter uncertainties31 cited
  • 2017Incomplete statistical information limits the utility of high-order polynomial chaos expansions30 cited
  • 2022Consistency regularization-based deep polynomial chaos neural network method for reliability analysis30 cited
  • 2010Probability density function for stochastic response of non-linear oscillation system under random excitation27 cited