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Robust optimization of uncertain structures based on interval closeness coefficients and the 3D violation vectors of interval constraints
16 references·0 citing·47 second hopsampled
Robust optimization of uncertain structures based on interval closeness coefficients and the 3D violation vectors of interval constraints (2019)Robust optimization of uncertain structur…Discussions on non-probabilistic convex modelling for uncertain problems (2018)Discussions on non-probabilis…An efficient epistemic uncertainty analysis method using evidence theory (2018)An efficient epistemic uncert…Robust optimization of uncertain structures based on normalized violation degree of interval constraint (2016)Robust optimization of uncert…A novel Interval Finite Element Method based on the improved interval analysis (2016)A novel Interval Finite Eleme…Static response bounds of Timoshenko beams with spatially varying interval uncertainties (2015)Static response bounds of Tim…Natural frequencies of structures with interval parameters (2015)Natural frequencies of struct…Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis (2015)Multidimensional parallelepip…Optimization and anti-optimization solution of combined parameterized and improved interval analyses for structures with uncertainties (2014)Optimization and anti-optimiz…A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters (2014)A non-probabilistic robust re…One-dimensional heterogeneous solids with uncertain elastic modulus in presence of long-range interactions: Interval versus stochastic analysis (2013)One-dimensional heterogeneous…On robust design optimization of truss structures with bounded uncertainties (2013)On robust design optimization…Interval multi-objective optimisation of structures using adaptive Kriging approximations (2013)Interval multi-objective opti…Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters (2012)Bounds for the stationary sto…Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Optimization of structures wi…Robust design of non-linear structures using optimization methods (2005)Robust design of non-linear s…Info-gap robust design with load and model uncertainties (2005)Info-gap robust design with l…Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis (2015)A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis (2018)Convex Models of Uncertainty in Applied Mechanics (1990)Stochastic Finite Elements: A Spectral Approach (1991)Engineering Design Reliability Handbook (2004)Robustness analysis of trusses with separable load and structural uncertainties (2005)Fuzzy-based robust structural optimization (2008)A mode-based meta-model for the frequency response functions of uncertain structural systems (2009)Stochastic Dynamics of Structures (2009)Reliability analysis of structures with interval uncertainties under stationary stochastic excitations (2015)Static analysis of Euler–Bernoulli beams with interval Young’s modulus (2015)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)An improved high-moment method for reliability analysis (2017)Nonprobabilistic Reliable LQR Design Method for Active Vibration Control of Structures with Uncertainties (2018)An efficient approach for the design optimization of dual uncertain structures involving fuzzy random variables (2020)Minimax and maximin distance designs (1990)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Robust optimization – A comprehensive survey (2007)A decoupled approach for non-probabilistic reliability-based design optimization (2016)Probability and interval hybrid reliability analysis based on adaptive local approximation of projection outlines using support vector machine (2019)An efficient reliability analysis method for structures with hybrid time-dependent uncertainty (2022)Random field finite elements (1986)Reliability-based optimization in structural engineering (1994)Response Surface Methodology (1996)Designing robust structures – A nonlinear simulation based approach (2007)Shape optimization of an airfoil in a BZT flow with multiple-source uncertainties (2010)Unified uncertainty analysis under probabilistic, evidence, fuzzy and interval uncertainties (2019)The stochastic finite element method: basic perturbation technique and computer implementation (1993)Explicit frequency response functions of discretized structures with uncertain parameters (2013)Interval K-L expansion of interval process model for dynamic uncertainty analysis (2020)A non-probabilistic concept of reliability (1994)Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling (1995)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Structural reliability assessment based on probability and convex set mixed model (2009)Structural reliability analysis based on random distributions with interval parameters (2011)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)Uncertainty Modeling and Analysis in Engineering and the Sciences (2006)A subinterval decomposition analysis method for uncertain structures with large uncertainty parameters (2017)An interval finite element method for the analysis of structures with spatially varying uncertainties (2018)Interval uncertainty analysis for static response of structures using radial basis functions (2019)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Interval field model and interval finite element analysis (2019)Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model (2020)Interval uncertainty-oriented impedance force control for space manipulator with time-dependent reliability (2024)
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References

  • 2007Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval173 cited
  • 2015Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis133 cited
  • 2018Discussions on non-probabilistic convex modelling for uncertain problems99 cited
  • 2016A novel Interval Finite Element Method based on the improved interval analysis92 cited
  • 2005Robust design of non-linear structures using optimization methods80 cited
  • 2012Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters79 cited
  • 2005Info-gap robust design with load and model uncertainties76 cited
  • 2013Interval multi-objective optimisation of structures using adaptive Kriging approximations74 cited
  • 2014A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters62 cited
  • 2013One-dimensional heterogeneous solids with uncertain elastic modulus in presence of long-range interactions: Interval versus stochastic analysis55 cited
  • 2015Static response bounds of Timoshenko beams with spatially varying interval uncertainties55 cited
  • 2015Natural frequencies of structures with interval parameters51 cited
  • 2014Optimization and anti-optimization solution of combined parameterized and improved interval analyses for structures with uncertainties

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46 cited
  • 2013On robust design optimization of truss structures with bounded uncertainties46 cited
  • 2016Robust optimization of uncertain structures based on normalized violation degree of interval constraint43 cited
  • 2018An efficient epistemic uncertainty analysis method using evidence theory43 cited
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