计算力学学报2012，Vol.29Issue(6)：811-818,8.
周期性两相层状带隙材料优化模型
The optimaztion model of two-phase periodic layered band-gap material
摘要
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 formula- ted. Finally, the effectiveness of the optimization design model is demonstrated by several design exam- pies,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.关键词
材料设计/弹性波带隙/优化模型/约束函数/鲁棒性Key words
material design/elastic band gap/optimization model/constraint function/robustness分类
数理科学引用本文复制引用
黄毓,刘书田,陈文炯..周期性两相层状带隙材料优化模型[J].计算力学学报,2012,29(6):811-818,8.基金项目
国家重点基础发展（973）计划 （）
国家自然科学基金 （）
高等学校博士学科点研究基金（20090041110023）资助项目. （）
