期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 198, 期 2, 页码 292-301出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2008.08.001
关键词
Optimal design; Topology optimization; Elastic wave-guides; Tunable wave-guides
资金
- Air Force Office of Scientific Research (AFOSR) [FA9550-05-1-0046, FA9550-06-1-0326]
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. (C) 2008 Elsevier B.V. All rights reserved.
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