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一维花岗岩/丁腈橡胶声子晶体的带隙及其应用
引用本文:胡家光,张晋,张茜,郭俊梅.一维花岗岩/丁腈橡胶声子晶体的带隙及其应用[J].云南大学学报(自然科学版),2006,28(6):504-509.
作者姓名:胡家光  张晋  张茜  郭俊梅
作者单位:1. 云南大学,物理系,云南,昆明,650091
2. 贵研铂业有限公司,云南,昆明,650221
基金项目:国家自然科学基金资助项目(10664006,60361001,60261004),北京市传感器重点实验室开放课题(66062022)
摘    要: 采用集中质量法计算了一维花岗岩/丁腈橡胶声子晶体的振动带隙,研究了集中质量数、晶格常数、组分比及丁腈橡胶的粘弹性对带隙的影响.结果表明,增加集中质量数能提高带隙精度,晶格常数及组分比对带隙结构有较大影响,而丁腈橡胶的粘弹性能增大带隙宽度.根据以上结论,对声子晶体的材料参数和结构参数进行了优化,设计出1种能屏蔽人耳最敏感的1.5~2.5 kHz噪声的一维声子晶体.

关 键 词:声子晶体  振动带隙  集中质量法  弹簧振子
文章编号:0258-7971(2006)06-0504-05
修稿时间:2006年4月6日

Band gaps and application of one-dimensional phononic crystals consisted of granite and nitrile rubber
HU Jia-guang,ZHANG Jin,ZHANG Xi,GUO Jun-mei.Band gaps and application of one-dimensional phononic crystals consisted of granite and nitrile rubber[J].Journal of Yunnan University(Natural Sciences),2006,28(6):504-509.
Authors:HU Jia-guang  ZHANG Jin  ZHANG Xi  GUO Jun-mei
Institution:1. Department of Physics, Yunnan University, Kunming 650091, China;2. Sino-Platinum Metals Limited Company, Kunming 650221, China
Abstract:The lumped-mass method was employed to calculate the vibration band gaps of one-dimensional phononic crystals consisted of granite and nitrile rubber,the effects of the number of lumped-mass,lattice constant,volume fraction and viscoelasticity of nitrile rubber on band gaps were also investigated.It could be concluded that the accuracy of band gaps can be improved by increasing the number of lumped-mass,the band gaps are remarkably affected by the lattice constant and volume fraction,in addition,the viscoelasticity makes the width of band gaps increase.Finally,material and structure parameters of phononic crystals were optimized base on our results,and an one-dimensional phononic crystal was designed to mask off noises of 1.5—2.5 kHz frequency which is the most sensitive to person’s ear.
Keywords:phononic crystal  vibration band gap  lumped-mass method  mass-spring
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