From Topological Optimization to Spline Layouts: An Approach for Industrial Real-Wise Parts
Additive manufacturing technologies have allowed the production of complex geometries that are typically obtained by applying topology optimization techniques. The outcome of the optimization process is a tessellated geometry, which has reduced aesthetic quality and unwanted spikes and cusps. Filter...
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MDPI AG
2025-01-01
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| author | Carolina Vittoria Beccari Alessandro Ceruti Filip Chudy |
| author_facet | Carolina Vittoria Beccari Alessandro Ceruti Filip Chudy |
| author_sort | Carolina Vittoria Beccari |
| collection | DOAJ |
| description | Additive manufacturing technologies have allowed the production of complex geometries that are typically obtained by applying topology optimization techniques. The outcome of the optimization process is a tessellated geometry, which has reduced aesthetic quality and unwanted spikes and cusps. Filters can be applied to improve the surface quality, but volume shrinking and geometry modification can be noticed. The design practice suggests manually re-designing the object in Computer-Aided Design (CAD) software, imitating the shape suggested by topology optimization. However, this operation is tedious and a lot of time is wasted. This paper proposes a methodology to automate the conversion from topology optimization output to a CAD-compatible design for industrial components. Topology optimization usually produces a dense triangle mesh with a high topological genus for those objects. We present a method to automatically generate a collection of spline (tensor-product) patches joined watertight and test the approach on real-wise industrial components. The methodology is based on the use of quadrilateral patches which are built on the external surface of the components. Based on the tests carried out, promising results have been obtained. It constitutes a first step towards the automatic generation of shapes that can readily be imported and edited in a CAD system. |
| format | Article |
| id | doaj-art-032303ce58e24673856842738be10800 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-032303ce58e24673856842738be108002025-01-24T13:22:20ZengMDPI AGAxioms2075-16802025-01-011417210.3390/axioms14010072From Topological Optimization to Spline Layouts: An Approach for Industrial Real-Wise PartsCarolina Vittoria Beccari0Alessandro Ceruti1Filip Chudy2Department of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126 Bologna, ItalyDepartment of Industrial Engineering, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, ItalyDepartment of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126 Bologna, ItalyAdditive manufacturing technologies have allowed the production of complex geometries that are typically obtained by applying topology optimization techniques. The outcome of the optimization process is a tessellated geometry, which has reduced aesthetic quality and unwanted spikes and cusps. Filters can be applied to improve the surface quality, but volume shrinking and geometry modification can be noticed. The design practice suggests manually re-designing the object in Computer-Aided Design (CAD) software, imitating the shape suggested by topology optimization. However, this operation is tedious and a lot of time is wasted. This paper proposes a methodology to automate the conversion from topology optimization output to a CAD-compatible design for industrial components. Topology optimization usually produces a dense triangle mesh with a high topological genus for those objects. We present a method to automatically generate a collection of spline (tensor-product) patches joined watertight and test the approach on real-wise industrial components. The methodology is based on the use of quadrilateral patches which are built on the external surface of the components. Based on the tests carried out, promising results have been obtained. It constitutes a first step towards the automatic generation of shapes that can readily be imported and edited in a CAD system.https://www.mdpi.com/2075-1680/14/1/72topology optimizationspline3D modelingadditive manufacturingcomputer-aided design |
| spellingShingle | Carolina Vittoria Beccari Alessandro Ceruti Filip Chudy From Topological Optimization to Spline Layouts: An Approach for Industrial Real-Wise Parts Axioms topology optimization spline 3D modeling additive manufacturing computer-aided design |
| title | From Topological Optimization to Spline Layouts: An Approach for Industrial Real-Wise Parts |
| title_full | From Topological Optimization to Spline Layouts: An Approach for Industrial Real-Wise Parts |
| title_fullStr | From Topological Optimization to Spline Layouts: An Approach for Industrial Real-Wise Parts |
| title_full_unstemmed | From Topological Optimization to Spline Layouts: An Approach for Industrial Real-Wise Parts |
| title_short | From Topological Optimization to Spline Layouts: An Approach for Industrial Real-Wise Parts |
| title_sort | from topological optimization to spline layouts an approach for industrial real wise parts |
| topic | topology optimization spline 3D modeling additive manufacturing computer-aided design |
| url | https://www.mdpi.com/2075-1680/14/1/72 |
| work_keys_str_mv | AT carolinavittoriabeccari fromtopologicaloptimizationtosplinelayoutsanapproachforindustrialrealwiseparts AT alessandroceruti fromtopologicaloptimizationtosplinelayoutsanapproachforindustrialrealwiseparts AT filipchudy fromtopologicaloptimizationtosplinelayoutsanapproachforindustrialrealwiseparts |