多孔材料夹层结构声辐射特性的两尺度拓扑优化设计
收稿日期: 2015-04-13
修回日期: 2015-05-19
网络出版日期: 2015-06-28
基金资助
国家自然科学基金(11472206,11321062)
Two-scale topology optimization design of sandwich structures of a porous core with respect to sound radiation
Received date: 2015-04-13
Revised date: 2015-05-19
Online published: 2015-06-28
Supported by
National Natural Science Foundation of China (11472206,11321062)
李汪颖 , 杨雄伟 , 李跃明 . 多孔材料夹层结构声辐射特性的两尺度拓扑优化设计[J]. 航空学报, 2016 , 37(4) : 1196 -1206 . DOI: 10.7527/S1000-6893.2015.0140
A concurrent optimization model with respect to sound power is proposed to find optimal configurations of structure and material based on the homogenization method. A two-scale topology optimization study for minimum sound radiation power is presented to deal with the problem of structural-acoustic optimization of sandwich structures. The sensitivities of radiated acoustic power with respect to design variables for macrostructure and material microstructure are obtained and an optimization of sandwich structures of a porous core is realized by method of moving asympopte (MMA) optimization scheme. Numerical results validate the optimization model and demonstrate that optimization not only change principal mode shapes and natural frequencies' sequence of initial structure but also change the excited mode of vibrations. In addition, the influences of excitation frequency and volume fraction on the optimal configurations are investigated and a particular phenomenon is discussed.
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