Computational Model for Tree-like Fractals Used as Internal Structures for Additive Manufacturing Parts

It is well established that the introduction of additive manufacturing in various domains has produced significant technological leaps due to the advantages over other manufacturing techniques. Furthermore, additive manufacturing allows the design of parts with complex internal structures (e.g., lat...

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Main Authors: Anca Stanciu Birlescu, Nicolae Balc
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/20/11187
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author Anca Stanciu Birlescu
Nicolae Balc
author_facet Anca Stanciu Birlescu
Nicolae Balc
author_sort Anca Stanciu Birlescu
collection DOAJ
description It is well established that the introduction of additive manufacturing in various domains has produced significant technological leaps due to the advantages over other manufacturing techniques. Furthermore, additive manufacturing allows the design of parts with complex internal structures (e.g., lattice, honeycomb) to achieve lightweight or other mechanical properties. This paper presents a computational model (integrated into a programable algorithm) designed to generate complex internal structures, using tree-like fractals, for components (mechanical parts) whose designs are achievable by additive manufacturing. The computational model is presented in detail, starting from the mathematical definition and the properties of the proposed tree-like fractals. The fractal data are computed and arranged unequivocally using table representations. Based on the fractal data, the structures are generated inside CAD parts (which are given as inputs in the algorithm). The proposed computational method is applied in different case studies to illustrate their functionality. The generated CAD components (with fractal internal structures) are intended for manufacturing (using selective laser melting) and laboratory (mechanical) testing and for finite element analysis, which in turn can validate the use of tree-like fractals as interior structures for mechanical components.
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spelling doaj.art-e96438cefb234ccf9d519f29c778fd212023-11-19T15:29:44ZengMDPI AGApplied Sciences2076-34172023-10-0113201118710.3390/app132011187Computational Model for Tree-like Fractals Used as Internal Structures for Additive Manufacturing PartsAnca Stanciu Birlescu0Nicolae Balc1Department of Manufacturing Engineering, Faculty of Industrial Engineering, Robotics and Production Management, Technical University of Cluj-Napoca, Memorandumului 28, 400114 Cluj-Napoca, RomaniaDepartment of Manufacturing Engineering, Faculty of Industrial Engineering, Robotics and Production Management, Technical University of Cluj-Napoca, Memorandumului 28, 400114 Cluj-Napoca, RomaniaIt is well established that the introduction of additive manufacturing in various domains has produced significant technological leaps due to the advantages over other manufacturing techniques. Furthermore, additive manufacturing allows the design of parts with complex internal structures (e.g., lattice, honeycomb) to achieve lightweight or other mechanical properties. This paper presents a computational model (integrated into a programable algorithm) designed to generate complex internal structures, using tree-like fractals, for components (mechanical parts) whose designs are achievable by additive manufacturing. The computational model is presented in detail, starting from the mathematical definition and the properties of the proposed tree-like fractals. The fractal data are computed and arranged unequivocally using table representations. Based on the fractal data, the structures are generated inside CAD parts (which are given as inputs in the algorithm). The proposed computational method is applied in different case studies to illustrate their functionality. The generated CAD components (with fractal internal structures) are intended for manufacturing (using selective laser melting) and laboratory (mechanical) testing and for finite element analysis, which in turn can validate the use of tree-like fractals as interior structures for mechanical components.https://www.mdpi.com/2076-3417/13/20/11187additive manufacturingtree-like fractalscomputational model
spellingShingle Anca Stanciu Birlescu
Nicolae Balc
Computational Model for Tree-like Fractals Used as Internal Structures for Additive Manufacturing Parts
Applied Sciences
additive manufacturing
tree-like fractals
computational model
title Computational Model for Tree-like Fractals Used as Internal Structures for Additive Manufacturing Parts
title_full Computational Model for Tree-like Fractals Used as Internal Structures for Additive Manufacturing Parts
title_fullStr Computational Model for Tree-like Fractals Used as Internal Structures for Additive Manufacturing Parts
title_full_unstemmed Computational Model for Tree-like Fractals Used as Internal Structures for Additive Manufacturing Parts
title_short Computational Model for Tree-like Fractals Used as Internal Structures for Additive Manufacturing Parts
title_sort computational model for tree like fractals used as internal structures for additive manufacturing parts
topic additive manufacturing
tree-like fractals
computational model
url https://www.mdpi.com/2076-3417/13/20/11187
work_keys_str_mv AT ancastanciubirlescu computationalmodelfortreelikefractalsusedasinternalstructuresforadditivemanufacturingparts
AT nicolaebalc computationalmodelfortreelikefractalsusedasinternalstructuresforadditivemanufacturingparts