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Interval analysis method and convex models for impulsive response of structures with uncertain-but-bounded external loads
6 references·2 citing·29 second hop
Interval analysis method and convex models for impulsive response of structures with uncertain-but-bounded external loads (2006)Interval analysis method and convex model…Comparison of static response of structures using convex models and interval analysis method (2003)Comparison of static response…Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Comparison of dynamic respons…Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…Maximum Structural Response Using Convex Models (1996)Maximum Structural Response U…Convex Models for Impulsive Response of Structures (1996)Convex Models for Impulsive R…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …Analysis of structures with random axial stiffness described by imprecise probability density functions (2017)Analysis of structures with r…Uncertain initial imperfections via probabilistic and convex modeling: Axial impact buckling of a clamped beam (2013)Uncertain initial imperfectio…A non-probabilistic concept of reliability (1994)Nonprobabilistic, convex-theoretic modeling of scatter in material properties (1994)Reliability of Vibrating Structures with Uncertain Inputs (1998)Semidefinite programming for dynamic steady-state analysis of structures under uncertain harmonic loads (2009)Unified form for static displacement, dynamic response and natural frequency analysis based on convex models (2009)Design Sensitivity Analysis of Structural Systems (1986)Exact bounds for the static response set of structures with uncertain-but-bounded parameters (2006)An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion (2011)Construction and application of an ellipsoidal convex model using a semi-definite programming formulation from measured data (2015)Polynomial Chaos in Stochastic Finite Elements (1990)Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)Impact Buckling of Thin Bar Via Monte Carlo Method (1978)Non-probabilistic convex models and interval analysis method for dynamic response of a beam with bounded uncertainty (2009)Direct reliability-based design optimization of uncertain structures with interval parameters (2016)Inverse problems in structural safety analysis with combined probabilistic and non-probabilistic uncertainty models (2017)A Chebyshev collocation based sequential matrix exponential method for the generalized density evolution equation (2021)Probabilistic Theory of Structural Dynamics (1976)Load and resistance convex models for optimum design (1999)Comparison between non‐probabilistic interval analysis method and probabilistic approach in static response problem of structures with uncertain‐but‐bounded parameters (2004)Sparse regression Chebyshev polynomial interval method for nonlinear dynamic systems under uncertainty (2017)A mathematical theory of evidence (1977)Constructing Probability Boxes and Dempster-Shafer Structures (2003)Imprecise probabilities in engineering analyses (2013)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Interval Monte Carlo methods for structural reliability (2010)
this work references cited by second hop

References

  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
  • 2003Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach246 cited
  • 2003Comparison of static response of structures using convex models and interval analysis method109 cited
  • 1996Maximum Structural Response Using Convex Models58 cited
  • 1996Convex Models for Impulsive Response of Structures29 cited

Cited by

  • 2013Uncertain initial imperfections via probabilistic and convex modeling: Axial impact buckling of a clamped beam13 cited
  • 2017Analysis of structures with random axial stiffness described by imprecise probability density functions12 cited

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