Super parametric convex model and its application for non-probabilistic reliability-based design optimization

DOI10.1016/j.apm.2017.11.001zbMath1480.90114OpenAlexW2768210884MaRDI QIDQ2295146

Zeng Meng, Huan-lin Zhou, Hao Hu

Publication date: 12 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.11.001

zbMATH Keywords

non-probabilistic reliability-based design optimizationsuper parametric convex modelnon-probabilistic reliability analysisadvanced nominal value methodminimum volume method

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Reliability, availability, maintenance, inspection in operations research (90B25) Compliance or weight optimization in solid mechanics (74P05)

Related Items (17)

Reliability-based topology optimization for heterogeneous composite structures under interval and convex mixed uncertainties ⋮ Novel data-driven method for non-probabilistic uncertainty analysis of engineering structures based on ellipsoid model ⋮ A general frame for uncertainty propagation under multimodally distributed random variables ⋮ A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty ⋮ Novel numerical method for uncertainty analysis of coupled vibro-acoustic problem considering thermal stress ⋮ Unified reliability-based design optimization with probabilistic, uncertain-but-bounded and fuzzy variables ⋮ A modified parallelepiped model for non-probabilistic uncertainty quantification and propagation analysis ⋮ A hybrid descent mean value for accurate and efficient performance measure approach of reliability-based design optimization ⋮ New target performance approach for a super parametric convex model of non-probabilistic reliability-based design optimization ⋮ A novel experimental data-driven exponential convex model for reliability assessment with uncertain-but-bounded parameters ⋮ On the use of probabilistic and non-probabilistic super parametric hybrid models for time-variant reliability analysis ⋮ Non-probabilistic reliability-based topology optimization (NRBTO) scheme for continuum structures based on the parameterized level-set method and interval mathematics ⋮ Random and multi-super-ellipsoidal variables hybrid reliability analysis based on a novel active learning kriging model ⋮ A confidence-based reliability optimization with single loop strategy and second-order reliability method ⋮ A Hybrid Framework of Efficient Multi-Objective Optimization of Stiffened Shells with Imperfection ⋮ Non-Probabilistic Reliability Bounds for Series Structural Systems ⋮ Structural design optimization based on hybrid time-variant reliability measure under non-probabilistic convex uncertainties

Uses Software

• AK-MCS

Cites Work

• Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model
• Structural reliability analysis using non-probabilistic convex model
• Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique
• Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis
• Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
• Comparison of dynamic responses of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach.
• A hybrid conjugate finite-step length method for robust and efficient reliability analysis
• Novel reliability-based optimization method for thermal structure with hybrid random, interval and fuzzy parameters
• Generalization of the super ellipsoid concept and its application in mechanics
• A novel non-probabilistic reliability-based design optimization algorithm using enhanced chaos control method
• Chaotic conjugate stability transformation method for structural reliability analysis
• The effect of non-uniformity of axial loading on the buckling behaviour of shells with random imperfections
• Reliability analysis of structures with interval uncertainties under stationary stochastic excitations
• Construction and application of an ellipsoidal convex model using a semi-definite programming formulation from measured data
• A sequential nonlinear interval number programming method for uncertain structures
• Multidimensional parallelepiped model-a new type of non-probabilistic convex model for structural uncertainty analysis
• Post optimization for accurate and efficient reliability-based design optimization using second-order reliability method based on importance sampling and its stochastic sensitivity analysis
• Structural design under bounded uncertainty—Optimization with anti-optimization
• Optimization of laminate stacking sequence for buckling load maximization by genetic algorithm
• Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling
• Sensitivity analyses of FORM-based and DRM-based performance measure approach (PMA) for reliability-based design optimization (RBDO)

This page was built for publication: Super parametric convex model and its application for non-probabilistic reliability-based design optimization