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Stochastic finite element analysis of shells with combined random material and geometric properties
9 references·16 citing·35 second hop
Stochastic finite element analysis of shells with combined random material and geometric properties (2003)Stochastic finite element analysis of she…Buckling analysis of cylindrical shells with random geometric imperfections (2002)Buckling analysis of cylindri…Monte Carlo Treatment of Random Fields: A Broad Perspective (1998)Monte Carlo Treatment of Rand…Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Uncertainties in probabilisti…Simulation of Multi-Dimensional Gaussian Stochastic Fields by Spectral Representation (1996)Simulation of Multi-Dimension…Numerical solution of spectral stochastic finite element systems (1996)Numerical solution of spectra…Orthogonal Series Expansions of Random Fields in Reliability Analysis (1994)Orthogonal Series Expansions …Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Finite Element Reliability of Geometrically Nonlinear Uncertain Structures (1991)Finite Element Reliability of…Random Fields: Analysis and Synthesis (1983)Random Fields: Analysis and S…Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties (2019)Model order reduction acceler…State of the art of composite structures in non-deterministic framework: A review (2018)State of the art of composite…Simulation of Random Fields with Trend from Sparse Measurements without Detrending (2018)Simulation of Random Fields w…Hybrid uncertain static analysis with random and interval fields (2016)Hybrid uncertain static analy…Rotational and ply-level uncertainty in response of composite shallow conical shells (2015)Rotational and ply-level unce…Stochastic finite element with material uncertainties: Implementation in a general purpose simulation program (2012)Stochastic finite element wit…Probabilistic resolution of the twentieth century conundrum in elastic stability (2012)Probabilistic resolution of t…Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters (2012)Modified sub-interval perturb…Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011)Hybrid probabilistic interval…Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties (2009)Buckling analysis of imperfec…Spectral stochastic finite element analysis for laminated composite plates (2008)Spectral stochastic finite el…A stochastic quarter-car model for dynamic analysis of vehicles with uncertain parameters (2008)A stochastic quarter-car mode…Dynamic response analysis of stochastic truss structures under non-stationary random excitation using the random factor method (2007)Dynamic response analysis of …Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections (2007)Buckling analysis of cylindri…Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007)Assessment of spectral repres…Optimum design of shell structures with random geometric, material and thickness imperfections (2006)Optimum design of shell struc…Random field finite elements (1986)Response‐Surface Approach for Reliability Analysis (1989)Optimization algorithms for structural reliability (1991)Dynamic response sensitivity of inelastic structures (1993)Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998 (1999)Structural reliability software at the University of California, Berkeley (2005)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)The stochastic finite element method: Past, present and future (2008)Discussions on non-probabilistic convex modelling for uncertain problems (2018)Engineering analysis with probability boxes: A review on computational methods (2021)Stochastic Finite Elements: A Spectral Approach (1991)Latin Hypercube Sampling for Stochastic Finite Element Analysis (2002)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Methods of structural safety (2006)Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Structural Reliability under Incomplete Probability Information (1986)Comparison of finite element reliability methods (2002)Stochastic finite element methods for partial differential equations with random input data (2014)Random Vibration of Mechanical and Structural Systems (1992)Random vibration of mechanical and structural systems (1993)Developments in stochastic structural mechanics (2006)Modified linear estimation method for generating multi-dimensional multi-variate Gaussian field in modelling material properties (2014)Simulation of Stochastic Processes by Spectral Representation (1991)The geometry of random vibrations and solutions by FORM and SORM (2000)Time-Dependent Reliability Analysis Through Response Surface Method (2017)The stochastic finite element method in structural reliability (1987)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Improvements to and limitations of Latin hypercube sampling (1998)Simulation of Highly Skewed Non-Gaussian Stochastic Processes (2001)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)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)The PHI2 method: a way to compute time-variant reliability (2003)
this work references cited by second hop

References

  • 1983Random Fields: Analysis and Synthesis1,302 cited
  • 1993Optimal Discretization of Random Fields728 cited
  • 1996Simulation of Multi-Dimensional Gaussian Stochastic Fields by Spectral Representation509 cited
  • 1997Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements354 cited
  • 1996Numerical solution of spectral stochastic finite element systems294 cited
  • 1994Orthogonal Series Expansions of Random Fields in Reliability Analysis265 cited
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  • 1991Finite Element Reliability of Geometrically Nonlinear Uncertain Structures182 cited
  • 2002Buckling analysis of cylindrical shells with random geometric imperfections157 cited

Cited by

  • 2011Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method140 cited
  • 2008Spectral stochastic finite element analysis for laminated composite plates136 cited
  • 2007Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields126 cited
  • 2012Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters106 cited
  • 2018Simulation of Random Fields with Trend from Sparse Measurements without Detrending

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88 cited
  • 2016Hybrid uncertain static analysis with random and interval fields83 cited
  • 2007Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections79 cited
  • 2009Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties75 cited
  • 2018State of the art of composite structures in non-deterministic framework: A review72 cited
  • 2012Stochastic finite element with material uncertainties: Implementation in a general purpose simulation program71 cited
  • 2008A stochastic quarter-car model for dynamic analysis of vehicles with uncertain parameters61 cited
  • 2012Probabilistic resolution of the twentieth century conundrum in elastic stability59 cited
  • 2006Optimum design of shell structures with random geometric, material and thickness imperfections55 cited
  • 2015Rotational and ply-level uncertainty in response of composite shallow conical shells53 cited
  • 2019Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties48 cited
  • 2007Dynamic response analysis of stochastic truss structures under non-stationary random excitation using the random factor method47 cited