考虑材料参数的二维固/固声子晶体拓扑优化设计  

Topological optimization design of two-dimensional solid/solid phonon crystals considering material parameters

作　　者：许卫锴[1] 宁金英 韩世超 余欣宇 祁武超[1] XU Wei-kai;NING Jin-ying;HAN Shi-chao;YU Xin-yu;QI Wu-chao(Faculty of Aerospace Engineering,Shenyang Aerospace University,Shenyang 110136,China)

机构地区：[1]沈阳航空航天大学航空宇航学院

出　　处：《沈阳航空航天大学学报》2019年第5期10-15,共6页Journal of Shenyang Aerospace University

基　　金：国家自然科学基金(项目编号:11672187,11502149,11302135);辽宁省自然科学基金(项目编号:2019-ZD-0229,2019-ZD-0297);辽宁省教育厅基础研究项目(项目编号:JYT19056);沈阳航空航天大学大学生创新训练项目(项目编号:201910143297)

摘　　要：基于混合变量的两阶段遗传算法,对声子晶体拓扑构型及影响二维固/固声子晶体的材料参数进行优化,得到了较宽的低频带隙。结果表明,散射体的材料密度和弹性模量对声子晶体的带隙特性均具有重要影响,但较高的弹性模量更易于产生较宽的低频带隙;在散射体具有较高的弹性模量时,能够大幅增加声子晶体的相对带宽,在此基础上,密度的改变能够进一步发挥调制作用;散射体和基体的密度差值及弹性模量差值越大越易产生较宽的带隙,这为声子晶体的带隙调制和设计提供了一定的理论依据。Based on the mixed-variable two-stage genetic algorithm,both topological configuration and material parameters were considered to optimize a two-dimensional solid/solid phononic crystal,a wide low-frequency bandgap was obtained.The results show that both the material density and elastic modulus of the scattering body have a significant impact on the bandgap characteristics of phononic crystals.However,a higher elastic modulus is more likely to produce a wider low-frequency bandgap.When the scattering body has a higher elastic modulus,the relative bandwidth of the phononic crystal can be greatly increased,and the density can further exert in modulation.Additionally,the larger density and elastic modulus have differences between the scattering body and the matrix,it is easier to produce a wider bandgap.This provides a theoretical basis for bandgap modulation and design of phononic crystals.

关 键 词：声子晶体 拓扑优化 遗传算法 带隙特性 材料参数 

分 类 号：TH113.1[机械工程—机械设计及理论] TB535.1[理学—物理]