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Optimized designing spherical void structures in 3D domains

Optimized layout of variable-sized spheres in a disconnected polyhedral domain is considered. The problem is motivated by optimized design of void structures in additive manufacturing. The spheres must be arranged in the container; however, a certain protruding is permitted subject to the correspond...

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Main Authors: Romanova, T., Yaskov, G., Stoian, Y., Litvinchev, I., Yanchevskyi, I., Vasant, P.
Format: Book
Published: Elsevier 2022
Online Access:http://scholars.utp.edu.my/id/eprint/34105/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85137603273&doi=10.1016%2fB978-0-323-89785-3.00008-6&partnerID=40&md5=a7ee5e1ccebff2093ae94af9604aeefe
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spelling oai:scholars.utp.edu.my:341052023-01-03T07:23:02Z http://scholars.utp.edu.my/id/eprint/34105/ Optimized designing spherical void structures in 3D domains Romanova, T. Yaskov, G. Stoian, Y. Litvinchev, I. Yanchevskyi, I. Vasant, P. Optimized layout of variable-sized spheres in a disconnected polyhedral domain is considered. The problem is motivated by optimized design of void structures in additive manufacturing. The spheres must be arranged in the container; however, a certain protruding is permitted subject to the corresponding center inside the container. The distance between the objects must be at least a certain given threshold. The objective is to find coordinates of the centers and radii of the spheres maximizing the total volume of the spheres for two cases: with and without balancing conditions. Two nonlinear programming models are provided. Corresponding nonlinear optimization problem is formulated and solved. Numerical results are presented to illustrate the main constructions. © 2022 Elsevier Inc. All rights reserved. Elsevier 2022 Book NonPeerReviewed Romanova, T. and Yaskov, G. and Stoian, Y. and Litvinchev, I. and Yanchevskyi, I. and Vasant, P. (2022) Optimized designing spherical void structures in 3D domains. Elsevier, pp. 331-346. ISBN 9780323897853; 9780323885744 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85137603273&doi=10.1016%2fB978-0-323-89785-3.00008-6&partnerID=40&md5=a7ee5e1ccebff2093ae94af9604aeefe 10.1016/B978-0-323-89785-3.00008-6 10.1016/B978-0-323-89785-3.00008-6 10.1016/B978-0-323-89785-3.00008-6
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
description Optimized layout of variable-sized spheres in a disconnected polyhedral domain is considered. The problem is motivated by optimized design of void structures in additive manufacturing. The spheres must be arranged in the container; however, a certain protruding is permitted subject to the corresponding center inside the container. The distance between the objects must be at least a certain given threshold. The objective is to find coordinates of the centers and radii of the spheres maximizing the total volume of the spheres for two cases: with and without balancing conditions. Two nonlinear programming models are provided. Corresponding nonlinear optimization problem is formulated and solved. Numerical results are presented to illustrate the main constructions. © 2022 Elsevier Inc. All rights reserved.
format Book
author Romanova, T.
Yaskov, G.
Stoian, Y.
Litvinchev, I.
Yanchevskyi, I.
Vasant, P.
spellingShingle Romanova, T.
Yaskov, G.
Stoian, Y.
Litvinchev, I.
Yanchevskyi, I.
Vasant, P.
Optimized designing spherical void structures in 3D domains
author_facet Romanova, T.
Yaskov, G.
Stoian, Y.
Litvinchev, I.
Yanchevskyi, I.
Vasant, P.
author_sort Romanova, T.
title Optimized designing spherical void structures in 3D domains
title_short Optimized designing spherical void structures in 3D domains
title_full Optimized designing spherical void structures in 3D domains
title_fullStr Optimized designing spherical void structures in 3D domains
title_full_unstemmed Optimized designing spherical void structures in 3D domains
title_sort optimized designing spherical void structures in 3d domains
publisher Elsevier
publishDate 2022
url http://scholars.utp.edu.my/id/eprint/34105/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85137603273&doi=10.1016%2fB978-0-323-89785-3.00008-6&partnerID=40&md5=a7ee5e1ccebff2093ae94af9604aeefe
_version_ 1754532127717720064
score 13.211869

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