| 一维声子晶体中声波能带的解析研究 |
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| 引用本文： | 刘启能. 一维声子晶体中声波能带的解析研究[J]. 应用力学学报, 2011, 28(2) |
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| 作者姓名： | 刘启能 |
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| 作者单位： | 重庆工商大学废油资源化技术与装备教育部工程研究中心,400067,重庆;重庆工商大学计算机科学与信息工程学院,400067,重庆 |
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| 基金项目： | 重庆市教委科技项目基金 |
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| 摘 要： | 为了对一维声子晶体的能带进行解析研究,采用一维声子晶体的色散法,推导出一维声子晶体禁带频率和通带频率的解析公式;并利用此式对一维声子晶体的能带结构进行了解析研究,得到了禁带和导带的频率中心、频率宽度分别随介质厚度和声阻抗两者的变化规律,并与转移矩阵方法的计算结果进行了比较.研究结果表明:两种方法得到的结论相同,但解析法能更准确、更深刻地反映出一维声子晶体的能带随介质厚度和声阻抗等因素的变化规律;并且解析法克服了转移矩阵法等其他方法不能对能带结构进行解析研究的不足,是一种研究一维声子晶体能带更有效的方法.
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| 关 键 词： | 声子晶体 声波 能带 解析法 |
Analytical method of studing the phononic bandgap in 1D phononic crystal |
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| Li Qineng. Analytical method of studing the phononic bandgap in 1D phononic crystal[J]. Chinese Journal of Applied Mechanics, 2011, 28(2) |
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| Authors: | Li Qineng |
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| Affiliation: | Liu Qineng1,2(Engineering Research Center for Waste Oil Recovery Technology and Equipment,Ministry of Education,Chongqing Technology and Business University)1(Computer Science and Information Engineering College of Chongqing Technology and Business University,Chongqing,400067,China)2 |
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| Abstract: | For studying the phononic bandgap of 1D phononic crystal,the dispersive method is adopted,the analytical formula of width and center of phononic bandgap is derived and the phononic bandgap of 1D phononic crystal is studied.The laws that the width and the center of phononic bandgap follow the variation of media thickness and acoustic impedance are obtained.The dispersive method and transfer matrix method are compared.Their conclusion is the same,but the analytic method is more accurate and deeply reflects th... |
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| Keywords: | phononic crystal acoustic waves phononic bandgap analytic method |
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