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: | , , , , , |
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| Format: | Book |
| Published: |
Elsevier
2022
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| 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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| Summary: | 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. |
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