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Design of Trusses Under Uncertain Loads Using Convex Models
7 references·16 citing·37 second hop
Design of Trusses Under Uncertain Loads Using Convex Models (1998)Design of Trusses Under Uncertain Loads U…Robust Reliability in the Mechanical Sciences (1996)Robust Reliability in the Mec…Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling (1995)Essay on uncertainties in ela…A non-probabilistic measure of reliability of linear systems based on expansion of convex models (1995)A non-probabilistic measure o…Structural design under bounded uncertainty—Optimization with anti-optimization (1994)Structural design under bound…A non-probabilistic concept of reliability (1994)A non-probabilistic concept o…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Hybrid uncertainty propagation and reliability analysis using direct probability integral method and exponential convex model (2022)Hybrid uncertainty propagatio…A modified parallelepiped model for non-probabilistic uncertainty quantification and propagation analysis (2020)A modified parallelepiped mod…Reliability-based design optimization under mixture of random, interval and convex uncertainties (2016)Reliability-based design opti…Non-probabilistic reliability-based design optimization of stiffened shells under buckling constraint (2015)Non-probabilistic reliability…Construction and application of an ellipsoidal convex model using a semi-definite programming formulation from measured data (2015)Construction and application …A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters (2014)A non-probabilistic robust re…On robust design optimization of truss structures with bounded uncertainties (2013)On robust design optimization…Hybrid uncertain analysis for structural–acoustic problem with random and interval parameters (2013)Hybrid uncertain analysis for…A feasible implementation procedure for interval analysis method from measurement data (2013)A feasible implementation pro…Modified Interval Perturbation Finite Element Method for a Structural-Acoustic System With Interval Parameters (2012)Modified Interval Perturbatio…Sequential Semidefinite Program for Maximum Robustness Design of Structures under Load Uncertainty (2006)Sequential Semidefinite Progr…Robustness analysis of trusses with separable load and structural uncertainties (2005)Robustness analysis of trusse…Robust design of non-linear structures using optimization methods (2005)Robust design of non-linear s…COMPARISON OF FUZZY SET AND CONVEX MODEL THEORIES IN STRUCTURAL DESIGN (2001)COMPARISON OF FUZZY SET AND C…Optimum structural design via convex model superposition (2000)Optimum structural design via…Load and resistance convex models for optimum design (1999)Load and resistance convex mo…Load and Resistance Factor Design for Steel (1978)Exact bounds for the static response set of structures with uncertain-but-bounded parameters (2006)An efficient method for evaluating the natural frequencies of structures with uncertain-but-bounded parameters (2009)New target performance approach for a super parametric convex model of non-probabilistic reliability-based design optimization (2018)Unreliable probabilities, risk taking, and decision making (1982)Unreliable probabilities, risk taking, and decision making (1988)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)Structural reliability analysis using non-probabilistic convex model (2012)Safety and the Probability of Structural Failure (1956)Statistical Methods in Structural Mechanics. (1970)Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Structural reliability assessment based on probability and convex set mixed model (2009)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)Robust optimization ? methodology and applications (2002)Robust design of structures using optimization methods (2004)Confidence extremal structural response analysis of truss structures under static load uncertainty via SDP relaxation (2008)Extreme structural response analysis of truss structures under material uncertainty via linear mixed 0–1 programming (2008)Quality Engineering in Production Systems (1990)Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)On non-probabilistic reliability-based design optimization of structures with uncertain-but-bounded parameters (2011)An importance learning method for non-probabilistic reliability analysis and optimization (2018)Structural Reliability Methods (1996)Computational methods in optimization considering uncertainties – An overview (2008)Hybrid uncertain static analysis with random and interval fields (2016)Non-probabilistic polygonal convex set model for structural uncertainty quantification (2020)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)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Anti-optimisation of uncertain structures using interval analysis (2001)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)Uncertain buckling: its past, present and future (2000)Comparison of Probability and Possibility for Design Against Catastrophic Failure Under Uncertainty (2003)Robust Climate Policies Under Uncertainty: A Comparison of Robust Decision Making and Info‐Gap Methods (2012)
this work references cited by second hop

References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1994A non-probabilistic concept of reliability402 cited
  • 1995Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling275 cited
  • 1994Structural design under bounded uncertainty—Optimization with anti-optimization235 cited
  • 1995A non-probabilistic measure of reliability of linear systems based on expansion of convex models163 cited
  • 1996Robust Reliability in the Mechanical Sciences132 cited

Cited by

  • 2000Optimum structural design via convex model superposition94 cited
  • 2015Construction and application of an ellipsoidal convex model using a semi-definite programming formulation from measured data92 cited
  • 2006Sequential Semidefinite Program for Maximum Robustness Design of Structures under Load Uncertainty81 cited
  • 2005Robust design of non-linear structures using optimization methods80 cited
  • 2014A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters62 cited
  • 2013Hybrid uncertain analysis for structural–acoustic problem with random and interval parameters62 cited
  • 2016Reliability-based design optimization under mixture of random, interval and convex uncertainties

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59 cited
  • 2015Non-probabilistic reliability-based design optimization of stiffened shells under buckling constraint58 cited
  • 2012Modified Interval Perturbation Finite Element Method for a Structural-Acoustic System With Interval Parameters57 cited
  • 2013A feasible implementation procedure for interval analysis method from measurement data54 cited
  • 2020A modified parallelepiped model for non-probabilistic uncertainty quantification and propagation analysis48 cited
  • 1999Load and resistance convex models for optimum design47 cited
  • 2001COMPARISON OF FUZZY SET AND CONVEX MODEL THEORIES IN STRUCTURAL DESIGN47 cited
  • 2022Hybrid uncertainty propagation and reliability analysis using direct probability integral method and exponential convex model46 cited
  • 2013On robust design optimization of truss structures with bounded uncertainties46 cited
  • 2005Robustness analysis of trusses with separable load and structural uncertainties44 cited