Romanova, T, Stoyan, Y, Pankratov, A et al. (6 more authors) (2021) Optimal layout of ellipses and its application for additive manufacturing. International Journal of Production Research, 59 (2). pp. 560-575. ISSN 0020-7543
Abstract
The paper studies a layout problem of variable number of ellipses with variable sizes placed into an arbitrary disconnected polygonal domain with maximum packing factor. The ellipses can be continuously translated and rotated. Restrictions on the dimensions of the ellipses are taken into account. Tools for the mathematical modelling of placement constraints (distance constraints between ellipses and containment of ellipses into a polygonal domain) using the phi-function technique are introduced. The tools make it possible to formulate the layout problem in the form of MIP model that is equivalent to a sequence of nonlinear programming subproblems. We develop a new solution algorithm that involves the feasible starting point algorithm and optimisation procedure to search for efficient locally optimal solutions of the layout problem. This algorithm can be used in the design of parts for «support-free» additive manufacturing, taking into account the conditions for its static/ dynamic strength. Results of the algorithm implementation for a topologically optimised flat part with the analysis of a stress state are provided.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 Informa UK Limited, trading as Taylor & Francis Group. This is an author produced version of an article published in International Journal of Production Research. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | additive manufacturing; ellipses; layout; mathematical model; nonlinear optimisation; phi-function technique |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Business (Leeds) > Faculty Office (LUBS) (Leeds) > Deans Office and Facilities (LUBS) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 14 Jan 2020 11:12 |
Last Modified: | 10 Feb 2022 10:32 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/00207543.2019.1697836 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:155540 |