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A computationally efficient method for the buckling analysis of shells with stochastic imperfections
16 references·8 citing·35 second hop
A computationally efficient method for the buckling analysis of shells with stochastic imperfections (2008)A computationally efficient method for th…The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science (2007)The need for linking micromec…The effect of non-uniformity of axial loading on the buckling behaviour of shells with random imperfections (2007)The effect of non-uniformity …Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition (2007)Efficient characterization of…Optimum design of shell structures with random geometric, material and thickness imperfections (2006)Optimum design of shell struc…Uncertainty Assessment of Large Finite Element Systems (2005)Uncertainty Assessment of Lar…The effect of material and thickness variability on the buckling load of shells with random initial imperfections (2004)The effect of material and th…Stochastic finite element analysis of shells with combined random material and geometric properties (2003)Stochastic finite element ana…Stochastic finite element analysis of shells (2002)Stochastic finite element ana…Random eigenvalue problems for large systems (2002)Random eigenvalue problems fo…Buckling analysis of cylindrical shells with random geometric imperfections (2002)Buckling analysis of cylindri…Non-Classical Problems in the Theory of Elastic Stability (2001)Non-Classical Problems in the…Non-Classical Problems in the Theory of Elastic Stability (2001)Non-Classical Problems in the…Accurate and highly efficient algorithms for structural stationary/non-stationary random responses (2001)Accurate and highly efficient…Uncertain buckling: its past, present and future (2000)Uncertain buckling: its past,…Simulation of Multi-Dimensional Gaussian Stochastic Fields by Spectral Representation (1996)Simulation of Multi-Dimension…Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation (1996)Robust and efficient methods …Stochastic analysis of geometrically imperfect thin cylindrical shells using topology-aware uncertainty models (2022)Stochastic analysis of geomet…Probabilistic failure analysis of quasi-isotropic CFRP structures utilizing the stochastic finite element and the Karhunen–Loève expansion methods (2022)Probabilistic failure analysi…An nth high order perturbation-based stochastic isogeometric method and implementation for quantifying geometric uncertainty in shell structures (2020)An nth high order perturbatio…Improved Neumann Expansion Method for Stochastic Finite Element Analysis (2017)Improved Neumann Expansion Me…Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell (2015)Influence of Physical and Geo…Stochastic stability analysis of steel tubes with random initial imperfections (2013)Stochastic stability analysis…Generalized stochastic finite element method in elastic stability problems 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this work references cited by second hop

References

  • 1996Simulation of Multi-Dimensional Gaussian Stochastic Fields by Spectral Representation509 cited
  • 1996Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation206 cited
  • 2001Accurate and highly efficient algorithms for structural stationary/non-stationary random responses171 cited
  • 2002Buckling analysis of cylindrical shells with random geometric imperfections157 cited
  • 2003Stochastic finite element analysis of shells with combined random material and geometric properties142 cited
  • 2005Uncertainty Assessment of Large Finite Element Systems135 cited
  • 2007Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition132 cited
  • 2000Uncertain buckling: its past, present and future111 cited
  • 2004The effect of material and thickness variability on the buckling load of shells with random initial imperfections108 cited
  • 2007The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science106 cited
  • 2001Non-Classical Problems in the Theory of Elastic Stability78 cited
  • 2002Stochastic finite element analysis of shells77 cited
  • 2002Random eigenvalue problems for large systems77 cited
  • 2001Non-Classical Problems in the Theory of Elastic Stability

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60 cited
  • 2006Optimum design of shell structures with random geometric, material and thickness imperfections55 cited
  • 2007The effect of non-uniformity of axial loading on the buckling behaviour of shells with random imperfections48 cited
  • Cited by

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    • 2010Generalized stochastic finite element method in elastic stability problems32 cited
    • 2020An nth high order perturbation-based stochastic isogeometric method and implementation for quantifying geometric uncertainty in shell structures31 cited
    • 2022Probabilistic failure analysis of quasi-isotropic CFRP structures utilizing the stochastic finite element and the Karhunen–Loève expansion methods26 cited
    • 2009Accurate estimation of evolutionary power spectra for strongly narrow-band random fields26 cited
    • 2022Stochastic analysis of geometrically imperfect thin cylindrical shells using topology-aware uncertainty models20 cited
    • 2017Improved Neumann Expansion Method for Stochastic Finite Element Analysis15 cited
    • 2015Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell9 cited