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Monte Carlo Based Isogeometric Stochastic Finite Element Method for Uncertainty Quantization in Vibration Analysis of Piezoelectric Materials
8 references·1 citing·37 second hop
Monte Carlo Based Isogeometric Stochastic Finite Element Method for Uncertainty Quantization in Vibration Analysis of Piezoelectric Materials (2022)Monte Carlo Based Isogeometric Stochastic…A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic–vibration interaction problems (2022)A sample-efficient deep learn…Finite Element Modellingand Simulations of Piezoelectric Actuators Responses with Uncertainty Quantification (2018)Finite Element Modellingand S…A directed Monte Carlo solution of linear stochastic algebraic system of equations (2010)A directed Monte Carlo soluti…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Spectral stochastic finite element analysis for laminated composite plates (2008)Spectral stochastic finite el…Generalized perturbation-based stochastic finite element method in elastostatics (2006)Generalized perturbation-base…Monte Carlo Treatment of Random Fields: A Broad Perspective (1998)Monte Carlo Treatment of Rand…Monte Carlo techniques in computational stochastic mechanics (1998)Monte Carlo techniques in com…Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method (2022)Sensitivity analysis of flexo…Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters (2012)Interval and subinterval perturbation methods for a structural-acoustic system with interval parameters (2013)Fuzzy uncertainty propagation in composites using Gram–Schmidt polynomial chaos expansion (2015)Empirical Model Building and Response Surfaces (1988)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Neural-network-based reliability analysis: a comparative study (2001)A comparison of uncertainty and sensitivity analysis results obtained with random and Latin hypercube sampling (2004)Practical Application of the Stochastic Finite Element Method (2014)Random Fields: Analysis and Synthesis (1983)Random field finite elements (1986)Kriging-based approximate stochastic homogenization analysis for composite materials (2008)Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches (2009)A review on stochastic multiscale analysis for FRP composite structures (2022)Numerical solution of spectral stochastic finite element systems (1996)Ingredients for a general purpose stochastic finite elements implementation (1999)Modeling and simulation of steady heat transfer analysis with material uncertainty: Generalizednth order perturbation isogeometric stochastic method (2018)Non-probabilistic interval process analysis of time-varying uncertain structures (2018)Proper orthogonal decomposition and Monte Carlo based isogeometric stochastic method for material, geometric and force multi-dimensional uncertainties (2018)Estimation of small failure probabilities in high dimensions by subset simulation (2001)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)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Error and uncertainty in modeling and simulation (2002)An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Uncertainty quantification of mechanical property of piezoelectric materials based on isogeometric stochastic FEM with generalized nth-order perturbation (2023)Uncertainty quantification of vibro-acoustic coupling problems for robotic manta ray models based on deep learning (2024)Deep-neural-network-based framework for the accelerating uncertainty quantification of a structural–acoustic fully coupled system in a shallow sea (2025)Global Sensitivity Analysis. The Primer (2007)Spectral Methods for Uncertainty Quantification (2010)Dynamic response and reliability analysis of non-linear stochastic structures (2004)The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)
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References

  • 2008The stochastic finite element method: Past, present and future999 cited
  • 1998Monte Carlo techniques in computational stochastic mechanics308 cited
  • 1998Monte Carlo Treatment of Random Fields: A Broad Perspective225 cited
  • 2006Generalized perturbation-based stochastic finite element method in elastostatics164 cited
  • 2008Spectral stochastic finite element analysis for laminated composite plates136 cited
  • 2022A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic–vibration interaction problems82 cited
  • 2018Finite Element Modellingand Simulations of Piezoelectric Actuators Responses with Uncertainty Quantification38 cited
  • 2010A directed Monte Carlo solution of linear stochastic algebraic system of equations29 cited

Cited by

  • 2022Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method6 cited

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