物理学报2012，Vol.61Issue(19)：244-249,6.
一维指数形变截面有限周期声子晶体的研究
Investigation of one-dimensional finite phononic crystal with exponential section
摘要
Abstract
In this paper, we study the propagation of elastic longitudinal wave in one-dimensional (1D) finite periodic phononic crystal with exponential section, and obtain the expression of frequency response function. Comparing the 1D phononic crystal with constant section, we find that the value of attenuation inside the band gap decreases quickly as the cross-sectional area of output and increases, at the same time, the initial frequency decreases and the cut-off frequency increases, i.e. the width of the band gap will increase. The effects of the lattice constant and the filling fraction on band gap are also analyzed. The change trends of the initial frequency and cut-off frequency are consistent with those of constant section. We hope that the investigation of this paper will be helpful for the phononic crystal in practical application such as vibration shield.关键词
声子晶体/声波带隙/集中质量法/频率响应函数Key words
phononic crystal/acoustic band gap/lump-mass method/frequency response function分类
建筑与水利引用本文复制引用
付志强,林书玉,陈时,鲜晓军,张小丽,王勇..一维指数形变截面有限周期声子晶体的研究[J].物理学报,2012,61(19):244-249,6.基金项目
陕西师范大学研究生创新基金（批准号：2011CXB012）和国家自然科学基金（批准号：11174192）资助的课题. （）
