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Probabilistic resolution of the twentieth century conundrum in elastic stability
16 references·9 citing·35 second hop
Probabilistic resolution of the twentieth century conundrum in elastic stability (2012)Probabilistic resolution of the twentieth…A course of lectures on natural philosophy and the mechanical arts (2018)A course of lectures on natur…Efficient modeling of imperfections for buckling analysis of composite cylindrical shells (2011)Efficient modeling of imperfe…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…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…Collapse of axially compressed cylindrical shells with random imperfections (1991)Collapse of axially compresse…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …First-order second-moment analysis of the buckling of shells with random imperfections (1987)First-order second-moment ana…Probabilistic Theory of Structures (1983)Probabilistic Theory of Struc…Reliability of axially compressed cylindrical shells with random axisymmetric imperfections (1982)Reliability of axially compre…Buckling of a Stochastically Imperfect Finite Column on a Nonlinear Elastic Foundation: A Reliability Study (1979)Buckling of a Stochastically …STOCHASTIC PROBLEMS IN MECHANICS (1974)STOCHASTIC PROBLEMS IN MECHAN…The Buckling of a Column With Random Initial Deflections (1969)The Buckling of a Column With…A course of lectures on natural philosophy and the mechanical arts (1807)A course of lectures on natur…Neural network-based DPIM for uncertainty quantification of imperfect cylindrical stiffened shells with multiple random parameters (2024)Neural network-based DPIM for…Sensitivity and uncertainty propagation in buckling of spherical shells under external pressure (2023)Sensitivity and uncertainty p…Stochastic analysis of geometrically imperfect thin cylindrical shells using topology-aware uncertainty models (2022)Stochastic analysis of geomet…A new stochastic residual error based homotopy approach for stability analysis of structures with large fluctuation of random parameters (2022)A new stochastic residual err…Polymorphic uncertainty modeling for the simulation of geometric imperfections in probabilistic design of cylindrical shells (2019)Polymorphic uncertainty model…Improved reliability-based design optimization of non-uniformly stiffened spherical dome (2019)Improved reliability-based de…Probabilistic interval stability assessment for structures with mixed uncertainty (2015)Probabilistic interval stabil…Robust stability analysis of structures with uncertain parameters using mathematical programming approach (2014)Robust stability analysis of …Stochastic stability analysis of steel tubes with random initial imperfections (2013)Stochastic stability analysis…Simulation of Nonstationary Random Process (1967)Simulation of Multi-Dimensional Gaussian Stochastic Fields by Spectral Representation (1996)Accurate and highly efficient algorithms for structural stationary/non-stationary random responses (2001)Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections (2007)Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties (2009)Hybrid uncertain static analysis with random and interval fields (2016)Random Fields: Analysis and Synthesis (1983)Optimal Discretization of Random Fields (1993)Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007)Spectral stochastic finite element analysis for laminated composite plates (2008)Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011)Bounds on the Reliability of Structural Systems (1967)Exact and Invariant Second-Moment Code Format (1974)Structural Reliability Theory and Its Applications (1982)A single-loop deterministic method for reliability-based design optimization (2012)‘Mechanical philosophy’ and the emergence of physics in Britain: 1800–1850 (1976)A Genealogy of Resilience (2018)On Resilience (2018)The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science (2007)Reliability assessment in structural dynamics (2013)Uncertainty quantification of squeal instability via surrogate modelling (2015)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Optimum design of shell structures with random geometric, material and thickness imperfections (2006)Fast probabilistic design procedure for axially compressed composite cylinders (2011)Reliability based calibration of safety factors for unstiffened cylindrical composite shells (2017)The Chemistry of John Dalton's Color Blindness (1995)T HE O RIGINS OF W ATER W AVE T HEORY (2003)Anti-optimization technique – a generalization of interval analysis for nonprobabilistic treatment of uncertainty (2001)Experimental Data Have to Decide Which of the Nonprobabilistic Uncertainty Descriptions—Convex Modeling or Interval Analysis—to Utilize (2008)Uncertainty analysis of composite laminated plate with data-driven polynomial chaos expansion method under insufficient input data of uncertain parameters (2018)Stochastic free vibration of orthotropic plates using generalized polynomial chaos expansion (2011)Hybrid reliability analysis of structures with multi-source uncertainties (2013)Reliability-based design optimization under mixture of random, interval and convex uncertainties (2016)
this work references cited by second hop

References

  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1807A course of lectures on natural philosophy and the mechanical arts556 cited
  • 2018A course of lectures on natural philosophy and the mechanical arts197 cited
  • 2003Stochastic finite element analysis of shells with combined random material and geometric properties142 cited
  • 2005Uncertainty Assessment of Large Finite Element Systems135 cited
  • 1983Probabilistic Theory of Structures112 cited
  • 1987First-order second-moment analysis of the buckling of shells with random imperfections110 cited
  • 2004The effect of material and thickness variability on the buckling load of shells with random initial imperfections108 cited
  • 1991Collapse of axially compressed cylindrical shells with random imperfections93 cited
  • 2001Non-Classical Problems in the Theory of Elastic Stability78 cited
  • 2011Efficient modeling of imperfections for buckling analysis of composite cylindrical shells70 cited
  • 1969The Buckling of a Column With Random Initial Deflections69 cited
  • 1982Reliability of axially compressed cylindrical shells with random axisymmetric imperfections67 cited
  • 1979Buckling of a Stochastically Imperfect Finite Column on a Nonlinear Elastic Foundation: A Reliability Study63 cited

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  • 1974STOCHASTIC PROBLEMS IN MECHANICS61 cited
  • 2001Non-Classical Problems in the Theory of Elastic Stability60 cited
  • Cited by

    • 2015Probabilistic interval stability assessment for structures with mixed uncertainty48 cited
    • 2019Polymorphic uncertainty modeling for the simulation of geometric imperfections in probabilistic design of cylindrical shells39 cited
    • 2013Stochastic stability analysis of steel tubes with random initial imperfections34 cited
    • 2014Robust stability analysis of structures with uncertain parameters using mathematical programming approach27 cited
    • 2019Improved reliability-based design optimization of non-uniformly stiffened spherical dome23 cited
    • 2022Stochastic analysis of geometrically imperfect thin cylindrical shells using topology-aware uncertainty models20 cited
    • 2024Neural network-based DPIM for uncertainty quantification of imperfect cylindrical stiffened shells with multiple random parameters11 cited
    • 2022A new stochastic residual error based homotopy approach for stability analysis of structures with large fluctuation of random parameters9 cited
    • 2023Sensitivity and uncertainty propagation in buckling of spherical shells under external pressure7 cited