Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 301, Issue -, Pages 116-136Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2015.12.012
Keywords
Topology optimization; Concurrent design; Frequency response function; Homogenization; BESO
Funding
- FAPESP (Sao Paulo Research Foundation) [2011/09730-6, 2013/08293-7, 2013/20022-9]
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This paper presents a concurrent topology optimization methodology for minimizing the frequency responses of multiscale systems composed of macro and micro phases. Although there is existing research on the topology optimization of structures and optimization of the materials for frequency responses, topology optimization approaches considering both scales simultaneously are relatively limited. The methodology proposed here aims to apply the bi-directional evolutionary structural optimization (BESO) method to find the optimum layout on both macro and micro scales of the structure, with the objective of minimizing the frequency response in the macro structure. For this coupled system, it is assumed that the macro structure is composed of a periodic material whose effective properties are obtained using the homogenization theory. The designs of the macro and micro structures are conducted simultaneously. The homogenized elasticity matrix used in the finite element analysis of the macro structure is obtained from considering the layout of the micro structure. A series of numerical examples are presented to validate the optimization procedure and to demonstrate the effectiveness and the efficiency of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.
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