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Two variations to the map L-systems-based topology optimization method

Two variations to the map L-systems-based topology optimization method
Two variations to the map L-systems-based topology optimization method
The map L-systems-based method, also known as the cellular division method, encodes a developmental program that has recently been applied to structural topology optimization as a parameterization method. The developmental program consists of an axiom, rewriting rules and additional variables that build a topology in stages. Typically, one of the additional variables is the ordinal of the final developmental stage (i.e. the age of the system). Since the number of cells in the system have, at most, a quadratic growth, a small change in the age variable may cause a significant change in the topology. Therefore, as the first variation, we propose to linearize the age variable to, instead, define the total number of cell divisions in the system. We provide statistical evidence that the proposed variation improves the performance of the method on a simple test problem. As the second variation, we introduce a component hierarchy suitable for the topology optimization of an aircraft wing internal structure. The choice in the hierarchy is implemented in the encoding of the map L-systems-based method, enabling the types of structural components (e.g. full-depth structural member and a stiffener) to emerge in the topology and providing more realistic wing structures. The use of the component hierarchy is demonstrated on the wing topology optimization of a 3D printed small Unmanned Aerial Vehicle (sUAV).
American Institute of Aeronautics and Astronautics
Ikonen, Teemu J.
d94a7607-5b27-4f95-8030-07e89f232231
Sobester, Andras
096857b0-cad6-45ae-9ae6-e66b8cc5d81b
Ikonen, Teemu J.
d94a7607-5b27-4f95-8030-07e89f232231
Sobester, Andras
096857b0-cad6-45ae-9ae6-e66b8cc5d81b

Ikonen, Teemu J. and Sobester, Andras (2017) Two variations to the map L-systems-based topology optimization method. In 17th AIAA Aviation Technology, Integration, and Operations Conference. American Institute of Aeronautics and Astronautics. 18 pp . (doi:10.2514/6.2017-3941).

Record type: Conference or Workshop Item (Paper)

Abstract

The map L-systems-based method, also known as the cellular division method, encodes a developmental program that has recently been applied to structural topology optimization as a parameterization method. The developmental program consists of an axiom, rewriting rules and additional variables that build a topology in stages. Typically, one of the additional variables is the ordinal of the final developmental stage (i.e. the age of the system). Since the number of cells in the system have, at most, a quadratic growth, a small change in the age variable may cause a significant change in the topology. Therefore, as the first variation, we propose to linearize the age variable to, instead, define the total number of cell divisions in the system. We provide statistical evidence that the proposed variation improves the performance of the method on a simple test problem. As the second variation, we introduce a component hierarchy suitable for the topology optimization of an aircraft wing internal structure. The choice in the hierarchy is implemented in the encoding of the map L-systems-based method, enabling the types of structural components (e.g. full-depth structural member and a stiffener) to emerge in the topology and providing more realistic wing structures. The use of the component hierarchy is demonstrated on the wing topology optimization of a 3D printed small Unmanned Aerial Vehicle (sUAV).

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e-pub ahead of print date: 5 June 2017
Published date: 2017
Venue - Dates: 17th AIAA Aviation Technology, Integration, and Operations Conference, United States, 2017-06-05 - 2017-06-09

Identifiers

Local EPrints ID: 417244
URI: http://eprints.soton.ac.uk/id/eprint/417244
PURE UUID: f346cc58-c363-4afc-9c01-a9a7e360a328
ORCID for Teemu J. Ikonen: ORCID iD orcid.org/0000-0001-7413-9310
ORCID for Andras Sobester: ORCID iD orcid.org/0000-0002-8997-4375

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Date deposited: 26 Jan 2018 17:30
Last modified: 07 Oct 2020 01:47

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