Design optimization of reentrant auxetic tube using multiobjective Lichtenberg algorithm based on metamodelling

The authors performed the optimizations of an auxetic tube considering different structural responses: mass, critical buckling load, natural frequency, Poisson's ratio, and maximum compression load compression. The response surface methodology was applied to generate a metamodeling with a set o...

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Bibliographic Details
Published in:Mechanics of advanced materials and structures 2024-11, Vol.31 (26), p.8058-8070
Main Authors: Francisco, Matheus Brendon, Pereira, João Luiz Junho, Paiva, Anderson Paulo de, Barbedo, Elioenai Levi, da Cunha, Sebastião Simões, Gomes, Guilherme Ferreira
Format: Article
Language:English
Subjects:
additive manufacturing
Algorithms
Auxetic structure
Compression loads
Configuration management
Design optimization
metaheuristics
Metamodels
Multiple objective analysis
Nonlinear equations
Nonlinear response
Numerical models
numerical simulation
Poisson's ratio
Resonant frequencies
Response surface methodology
Structural response
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Summary:The authors performed the optimizations of an auxetic tube considering different structural responses: mass, critical buckling load, natural frequency, Poisson's ratio, and maximum compression load compression. The response surface methodology was applied to generate a metamodeling with a set of non-linear equations. All data were generated via numerical modeling after experimental validation. The Lichtenberg Algorithm was used to find the best possible configurations. This paper shows something unprecedented in the literature when evaluating the static and modal performance of an auxetic tube in a multi-objective problem. The results showed an improvement of up to 43% compared to the initial model.
ISSN:1537-6494
1537-6532
DOI:10.1080/15376494.2023.2253803