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An uncertain structural optimization method based on nonlinear interval number programming and interval analysis method
3 references·16 citing·44 second hop
An uncertain structural optimization method based on nonlinear interval number programming and interval analysis method (2007)An uncertain structural optimization meth…Stochastic Programming (2010)Stochastic ProgrammingComparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Comparison of dynamic respons…Chance-Constrained Programming (1959)Chance-Constrained ProgrammingA possibility-based solution framework for interval uncertainty-based design optimization (2023)A possibility-based solution …An interval sequential linear programming for nonlinear robust optimization problems (2022)An interval sequential linear…An efficient nonlinear interval uncertain optimization method using Legendre polynomial chaos expansion (2021)An efficient nonlinear interv…An interval uncertain optimization method using back-propagation neural network differentiation (2020)An interval uncertain optimiz…Interval optimization for structural dynamic responses of an artillery system under uncertainty (2019)Interval optimization for str…Universal Grey System Theory for Analysis of Uncertain Structural Systems (2017)Universal Grey System Theory …A Novel Method for Load Bounds Identification for Uncertain Structures in Frequency Domain (2017)A Novel Method for Load Bound…Multiobjective robust optimization for crashworthiness design of foam filled thin-walled structures with random and interval uncertainties (2015)Multiobjective robust optimiz…Direct optimization of uncertain structures based on degree of interval constraint violation (2015)Direct optimization of uncert…A Threat Assessment Model under Uncertain Environment (2015)A Threat Assessment Model und…Robust optimization of structural dynamic characteristics based on adaptive Kriging model and CNSGA (2014)Robust optimization of struct…Robust assessment of collapse resistance of structures under uncertain loads based on 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Evidence Combination Based on Distance of Evidence and Entropy Function (2016)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)Hybrid uncertain analysis for structural–acoustic problem with random and interval parameters (2013)Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review (2024)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A non-probabilistic structural reliability analysis method based on a multidimensional parallelepiped convex model (2013)New target performance approach for a super parametric convex model of non-probabilistic reliability-based design optimization (2018)A novel experimental data-driven exponential convex model for reliability assessment with uncertain-but-bounded parameters (2019)Design and Analysis of Computer Experiments (1989)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)An efficient reliability analysis approach for structure based on probability and probability box models (2017)An efficient multi-objective optimization method for uncertain structures based on ellipsoidal convex model (2019)Linear Programming under Uncertainty (1955)A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors (1996)Linear Programming Under Uncertainty (2004)Decoupling uncertainty quantification from robust design optimization (2019)Robust optimization of engineering structures involving hybrid probabilistic and interval uncertainties (2020)Convex Models of Uncertainty in Applied Mechanics (1990)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)Exploratory designs for computational experiments (1995)Response Surface Methodology (1996)Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011)Reliability-based Robust Design Optimization with the Reliability Index Approach applied to composite laminate structures (2018)A comparative study of two interval-random models for hybrid uncertainty propagation analysis (2019)Reliability-based robust multi-objective optimization applied to engineering system design (2019)A non-probabilistic concept of reliability (1994)Product Family Flexible Design Method Based on Dynamic Requirements Uncertainty Analysis (2017)Interval differential evolution with dimension-reduction interval analysis method for uncertain optimization problems (2018)Deterministic Equivalents for Optimizing and Satisficing under Chance Constraints (1963)Optimization under uncertainty: state-of-the-art and opportunities (2003)Robust solutions of uncertain linear programs (1999)Lectures on Stochastic Programming: Modeling and Theory (2009)
this work references cited by second hop

References

  • 1959Chance-Constrained Programming2,748 cited
  • 2010Stochastic Programming2,228 cited
  • 2003Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach246 cited

Cited by

  • 2008A sequential nonlinear interval number programming method for uncertain structures97 cited
  • 2011An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion89 cited
  • 2015Multiobjective robust optimization for crashworthiness design of foam filled thin-walled structures with random and interval uncertainties74 cited
  • 2015A Threat Assessment Model under Uncertain Environment66 cited
  • 2014Robust optimization of structural dynamic characteristics based on adaptive Kriging model and CNSGA42 cited
  • 2010A nonlinear interval-based optimization method with local-densifying approximation technique39 cited
  • 2015Direct optimization of uncertain structures based on degree of interval constraint violation38 cited
  • 2021An efficient nonlinear interval uncertain optimization method using Legendre polynomial chaos expansion37 cited
  • 2020An interval uncertain optimization method using back-propagation neural network differentiation36 cited
  • 2023A possibility-based solution framework for interval uncertainty-based design optimization

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35 cited
  • 2022An interval sequential linear programming for nonlinear robust optimization problems34 cited
  • 2014Robust assessment of collapse resistance of structures under uncertain loads based on Info-Gap model33 cited
  • 2013An evidence-theory model considering dependence among parameters and its application in structural reliability analysis33 cited
  • 2019Interval optimization for structural dynamic responses of an artillery system under uncertainty32 cited
  • 2017Universal Grey System Theory for Analysis of Uncertain Structural Systems31 cited
  • 2017A Novel Method for Load Bounds Identification for Uncertain Structures in Frequency Domain28 cited