Journal article
Optimal synthesis of tunable elastic wave-guides
Topology optimization, or control in the coefficients of partial differential equations, has been successfully utilized for designing wave-guides with precisely tailored functionalities. For many applications it would be desirable to have the possibility of drastically altering the wave-guiding properties of a device “on the fly,” in a controllable manner as an influence of some external input.
This would enable wave-guides with highly non-linear input–output mappings, such as for example controllable wave switches. In this paper, we propose using finite elastic pre-straining for the purpose of tuning a wave-guide. In order to systematically formulate and solve the wave-guide synthesis problems we utilize mathematical programming methods in conjunction with topology optimization for parametrizing the design space.
The resulting extremal problem is, from a practical point, equivalent to finding an optimal subdivision of a given control volume into two disjoint subsets occupied by two different materials, normally resulting in a highly heterogeneous elastic body with desired wave-guiding functionalities in the original and finitely deformed configurations.
The proposed methodology is illustrated with numerical examples.
Language: | English |
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Year: | 2008 |
Pages: | 292-301 |
ISSN: | 00457825 and 18792138 |
Types: | Journal article |
DOI: | 10.1016/j.cma.2008.08.001 |
ORCIDs: | Evgrafov, Anton |