Modular-topology optimization with Wang tilings: an application to truss structures

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F21%3A00343746" target="_blank" >RIV/68407700:21110/21:00343746 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/s00158-020-02744-8" target="_blank" >https://doi.org/10.1007/s00158-020-02744-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00158-020-02744-8" target="_blank" >10.1007/s00158-020-02744-8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Modular-topology optimization with Wang tilings: an application to truss structures

Popis výsledku v původním jazyce

Modularity is appealing for solving many problems in optimization. It brings the benefits of manufacturability and reconfigurability to structural optimization, and enables a trade-off between the computational performance of a periodic unit cell (PUC) and the efficacy of non-uniform designs in multi-scale material optimization. Here, we introduce a novel strategy for concurrent minimum-compliance design of truss modules topologies and their macroscopic assembly encoded using Wang tiling, a formalism providing independent control over the number of modules and their interfaces. We tackle the emerging bilevel optimization problem with a combination of meta-heuristics and mathematical programming. At the upper level, we employ a genetic algorithm to optimize module assemblies. For each assembly, we obtain optimal module topologies as a solution to a convex second-order conic program that exploits the underlying modularity, incorporating stress constraints, multiple load cases, and reuse of module(s) for various structures. Merits of the proposed strategy are illustrated with three representative examples, clearly demonstrating that the best designs obtained by our method exhibited decreased compliance: by 56 up to 69% compared with the PUC designs.

Název v anglickém jazyce

Modular-topology optimization with Wang tilings: an application to truss structures

Popis výsledku anglicky

Modularity is appealing for solving many problems in optimization. It brings the benefits of manufacturability and reconfigurability to structural optimization, and enables a trade-off between the computational performance of a periodic unit cell (PUC) and the efficacy of non-uniform designs in multi-scale material optimization. Here, we introduce a novel strategy for concurrent minimum-compliance design of truss modules topologies and their macroscopic assembly encoded using Wang tiling, a formalism providing independent control over the number of modules and their interfaces. We tackle the emerging bilevel optimization problem with a combination of meta-heuristics and mathematical programming. At the upper level, we employ a genetic algorithm to optimize module assemblies. For each assembly, we obtain optimal module topologies as a solution to a convex second-order conic program that exploits the underlying modularity, incorporating stress constraints, multiple load cases, and reuse of module(s) for various structures. Merits of the proposed strategy are illustrated with three representative examples, clearly demonstrating that the best designs obtained by our method exhibited decreased compliance: by 56 up to 69% compared with the PUC designs.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GX19-26143X" target="_blank" >GX19-26143X: Neperiodické materiály vykazující strukturované deformace: Modulární návrh a výroba</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Structural and Multidisciplinary Optimization

ISSN

1615-147X

e-ISSN

1615-1488

Svazek periodika

63

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

19

Strana od-do

1099-1117

Kód UT WoS článku

000587037200002

EID výsledku v databázi Scopus

2-s2.0-85095121494