Multiscale reliability-based topology optimization methodology for truss-like microstructures with unknown-but-bounded uncertainties

DOI10.1016/j.cma.2018.05.003zbMath1440.74314OpenAlexW2800788591WikidataQ129833322 ScholiaQ129833322MaRDI QIDQ1986258

Dongling Liu, Yiru Cai, Lei Wang

Publication date: 8 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.05.003

zbMATH Keywords

interval mathematicsadjoint-based vectormacro-micro integrated designnon-probabilistic reliability-based topology optimization (NRBTO)unknown-but-bounded (UBB) uncertainties

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Finite element methods applied to problems in solid mechanics (74S05) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (13)

Microstructural topology optimization for minimizing the sound pressure level of structural–acoustic coupled systems with multi-scale random parameters ⋮ An inverse reliability analysis method for reliability-based design optimization with random and dependent interval variables constrained within ellipsoids ⋮ An active learning method combining kriging and accelerated chaotic single loop approach (AK-ACSLA) for reliability-based design optimization ⋮ Robust concurrent topology optimization of structure and its composite material considering uncertainty with imprecise probability ⋮ A general frame for uncertainty propagation under multimodally distributed random variables ⋮ SVR-TO-APMA: hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach ⋮ A credible interval analysis method for uncertain structures under nonprobabilistic framework ⋮ Comparison of the reliability-based and safety factor methods for structural design ⋮ Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions ⋮ Non-probabilistic reliability-based topology optimization of continuum structures considering local stiffness and strength failure ⋮ A dynamic evolution scheme for structures with interval uncertainties by using bidirectional sequential Kriging method ⋮ Scale-span stress-constrained topology optimization for continuum structures integrating truss-like microstructures and solid material ⋮ New hybrid reliability-based topology optimization method combining fuzzy and probabilistic models for handling epistemic and aleatory uncertainties

Cites Work

• Multi-scale concurrent material and structural design under mechanical and thermal loads
• Recent development in structural design and optimization
• Topology optimization considering material and geometric uncertainties using stochastic collocation methods
• Uncertainty quantification and propagation analysis of structures based on measurement data
• Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models
• Generating optimal topologies in structural design using a homogenization method
• A unified periodical boundary conditions for representative volume elements of composites and applications.
• A feasible implementation procedure for interval analysis method from measurement data
• Concurrent topology optimization design of material and structure within \(\operatorname{FE}^2\) nonlinear multiscale analysis framework
• A level set method for structural topology optimization and its applications
• A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis
• A novel non-probabilistic reliability-based design optimization algorithm using enhanced chaos control method
• A novel method of non-probabilistic reliability-based topology optimization corresponding to continuum structures with unknown but bounded uncertainties
• Reliability-based topology optimization for structures using fuzzy set model
• A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters
• Topology optimization of compliant mechanism and its support through a level set method
• Piecewise constant level set method for structural topology optimization
• Evolutionary Topology Optimization of Continuum Structures
• Comparison of static response of structures using convex models and interval analysis method
• Scale‐related topology optimization of cellular materials and structures

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