3D-printed internal structure for composite beams by semidefinite programming

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F19%3A00337058" target="_blank" >RIV/68407700:21110/19:00337058 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

3D-printed internal structure for composite beams by semidefinite programming

Original language description

Fueled by their excellent stiffness-to-weight ratio and the availability of mature manufacturing technologies, filament wound carbon fiber reinforced polymers represent ideal materials for thin-walled laminate structures. However, their strong anisotropy reduces structural resistance against wall instabilities such as shear and buckling, suggesting either increasing the laminate thickness, which degrades the weight and structural efficiency, or the application of structural foam as an internal core, which often results in an uneconomical labor-intensive process. In this contribution, we develop a convex linear semidefinite programming formulation for truss topology optimization to design an efficient non-uniform lattice-like internal structure. The internal structure not only reduces the effect of wall instabilities, mirrored in increasing the fundamental free-vibration eigenfrequency, but also maintains a low weight, secures manufacturability with conventional three-dimensional printers, and withstands the loads induced during the production process. We showcase this fully-automatic procedure in detail on designing, prototype manufacturing, and verification for a simply-supported composite beam, supplemented by validation with roving hammer tests. The results confirm that the 3D-printed optimal internal structure almost doubles the fundamental free-vibration eigenfrequency, even though the ratio between elastic properties of the carbon composite and the ABS polymer used for 3D printing exceeds two orders of magnitude.

Czech name

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Czech description

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Type

O - Miscellaneous

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

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

Publication year

2019

Confidentiality

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