光子学报, 2017, 46 (10): 1016002, 网络出版: 2017-11-24
空间梁声子晶体带隙结构
Research of Band-gap Structure of the Spatial Beam Phononic Crystal
摘要
为解决空间桁架、框架等复杂结构的稳定性, 对其基本单元组成的空间梁声子晶体的带隙结构进行研究.运用行波法对梁单元的拉压、扭转、弯曲以及三者耦合的振动方程进行求解, 并结合梁声子晶体节点处力和位移的连续性条件和Bloch定理, 正向推导出空间梁声子晶体的色散方程和带隙特.运用遗传算法以相对带宽为目标函数(带隙总宽度与带隙下限角频率比值)对空间梁声子晶体的材料和结构尺寸进行优化, 得到多组可行解并结合工程经验和经济效益逆向获得特定带隙位置和宽度的最优空间梁声子晶体结构, 为空间梁声子晶体带隙结构研究提供了新思路.
Abstract
The problem of band-gap structure were studied for the spatial beam phononic crystal to solve the stability of complex structure such as space truss, framae and so on. The axial, torsional, flexural and coupled vibration equations of beam element were solved by the traveling method. The dispersion equation and band-gap properties were forward obtained by the traveling wave method combined with the continuous conditions of force and displacement at the node of beam phononic crystal and Bloch theory. Genetic algorithm was used to reverse obtained the spatial beam phononic crystal structure with specified location and width of band gap by optimizing the material and structure size, taking relative bandwidth (the ratio total width and lowest angular frequency of band gap). The optimal solution was obtained by combing with engineering experience and economic benefit. This paper provided a new way for the study of band gap structure of spatial beam phononic crystal.
齐晓巧, 李团结, 张震, 唐雅琼. 空间梁声子晶体带隙结构[J]. 光子学报, 2017, 46(10): 1016002. QI Xiao-qiao, LI Tuan-jie, ZHANG Zhen, TANG Ya-qiong. Research of Band-gap Structure of the Spatial Beam Phononic Crystal[J]. ACTA PHOTONICA SINICA, 2017, 46(10): 1016002.