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Date of Publication:2012-01-01

Journal:计算力学学报

Volume:29

Issue:6

Page Number:811-818

ISSN No.:1007-4708

Abstract:A simple design optimization formulation is investigated and developed
   for two-phase periodic layered material with band gaps in specified
   frequency ranges.First,based on the analytical solution of elastic wave
   propagation in periodic layered material,an analytical solution of
   cosine function of wave number and the configurations of the
   microstructure in periodic layered material is obtained.Next,the
   relation between cosine function of wave number and attenuate
   coefficient is analyzed,and the band gap characteristic is descripted as
   an index which is integration of cosine function of wave number in given
   frequency ranges,such that the idea of maximizing attenuate coefficient
   within given frequency ranges can be carried out by maximizing this
   index,then the optimization formulation and the solving strategy of
   designing two-phase periodic layered material with band gaps in
   specified frequency ranges are formulated. Finally,the effectiveness of
   the optimization design model is demonstrated by several design
   examples, optimal configurations of the material subject to certain
   scale constraints of the microstructure are obtained,and both the
   influences of scale constraints on the optimal configurations and the
   robustness of the optimal configurations on the band gap characteristics
   are discussed.

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