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论文:2012,Vol:30,Issue(2):245-250 |
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引用本文： |
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李雷, 刘永寿, 任建亭, 税朗泉. 一维杆状Thue-Morse(TM)准周期结构声子晶体带隙特性的研究[J]. 西北工业大学 |
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Li Lei, Liu Yongshou, Ren Jianting, Shui Langquan. Band Gap Characteristics of Thue-Morse(TM) One Dimensional Rod Phononic Crystal with Quasi-Periodic Structure[J]. Northwestern polytechnical university |
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| 一维杆状Thue-Morse(TM)准周期结构声子晶体带隙特性的研究 |
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| 李雷, 刘永寿, 任建亭, 税朗泉 |
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| 西北工业大学 力学与土木建筑学院,陕西 西安 710072 |
| 摘要: |
| 提出了一维杆状TM准周期结构声子晶体模型,采用有限元法计算了其带隙特性并与周期结构进行了比较。研究表明,TM序列准周期结构声子晶体可以有效地拓宽带隙宽度且能降低起始频率,而且在带隙范围内产生了具有高品质因子的局域共振模;此外还发现,不同代次的TM序列、不同排序的材料组合都不影响其带隙范围,但改变材料参数(密度和弹性模量)却能改变其带隙范围。此研究可供其在减振降噪、滤波、波导等方面的设计和实际应用参考。 |
| 关键词:
TM序列
准周期
声子晶体
带隙
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| Band Gap Characteristics of Thue-Morse(TM) One Dimensional Rod Phononic Crystal with Quasi-Periodic Structure |
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| Li Lei, Liu Yongshou, Ren Jianting, Shui Langquan |
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| Department of Engineering Mechanics,Northwestern Polytechnical University,Xi'an 710072,China |
| Abstract: |
| The model of the TM 1D rod phononic crystal with quasi-periodic structure is proposed. Sections 1 and 2of the full paper calculate its band gap characteristics using FEM, and compare them with those of periodic struc-ture. Section 1 briefs the band gap characteristics of TM sequence. Section 2 discusses the various factors affectingband gap characteristics. The study shows that the TM phononic crystal with quasi-periodic structure can increasethe band gap width and lower the beginning frequency effectively. Most importantly, localized resonant modes ap-pear in the band gap, as shown in Figs. 2 through 6. Neither different generations of the TM sequence nor combina-tion of different materials in order can affect its band gap range. The band gap range can be changed with changingthe material parameters, such as density and elastic modulus. This study we believe is useful in problems such asvibration and noise reduction, filter, waveguide, etc. |
| Key words:
materials properties
models
one dimensional
periodic structures;band gap
localized resonantmode
phononic crystal
quasi-periodic
Thue-Morse(TM)sequence
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| 收稿日期: 2011-05-28
修回日期:
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| DOI: |
| 基金项目: 陕西省教育厅科学研究计划(2010JK593)；西北工业大学基础研究基金(JC20110255)资助 |
| 通讯作者:
Email： |
| 作者简介: 李雷(1986-),西北工业大学硕士研究生,主要从事准周期/周期结构复合功能材料的研究。
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参考文献: |
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[1] 温熙森, 温激鸿, 郁殿龙, 王 刚, 刘耀宗, 韩小云. 声子晶体. 北京: 国防工业出版社, 2008Wen X S, Wen J H, Yu D L, Wang G, Liu Y Z, Han X Y. Phononic Crystals. Beijing: National Defense Industry Press, 2008(in Chinese)
[2] 宋卓斐, 王自东, 王艳林, 王强松. 一维杆状声子晶体的带隙特性. 振动与冲击, 2010, 29(2): 145-148Song Z F, Wang Z D, Wang Y L, Wang Q S. Band Gap Property of a One Dimension Rod Photonic Crystal. Journal of Vibra-tion and Shock, 2010, 29(2): 145-148 (in Chinese)
[3] King P D C, Cox T J. Acoustic Band Gaps in Periodically and Quasi-Periodically Modulated Waveguides. Journal of AppliedPhysics, 2007, 102(1): 014902
[4] 曹永军, 董纯红, 周培勤. 一维准周期结构声子晶体透射性质的研究. 物理学报, 2006, 55(12): 6470-6475Cao Y J, Dong C H, Zhou P Q. Transmission Properties of One-Dimensional Qusi-Periodical Phononic Crystal. Acta PhysicaSinica, 2006, 55(12): 6470-6475 (in Chinese)
[5] 刘有延, 傅秀军. 准晶体. 上海:上海科技教育出版社, 1999Liu Y Y, Fu X J. Quasicrystals. Shanghai: Shanghai Science and Technology Education Press, 1999 (in Chinese)
[6] 温激鸿. 声子晶体振动带隙及减振特性研究: [博士学位论文]. 长沙: 国防科技大学, 2005Wen J H. Vibration Attenuation and Band Gap Characteristics of Phononic Crystals. Ph. D. Thesis, Changsha: National DefenseUniversity, 2005 (in Chinese)
[7] 郁殿龙, 刘耀宗, 王 刚, 温激鸿, 邱 静. 一维杆状声子晶体振动中的表面局域态研究. 机械工程学报, 2005, 41(6): 35-38Yu D L, Liu Y Z, Wang G, Wen J H, Qiu J. Research on the Surface Localized Vibration Modes in One Dimensional PhononicCrystals Composed of Rod Structures. Chinese Journal of Mechanical Engineering, 2005, 41(6): 35-38 (in Chinese)
[8] Khelif A, Djafari-Rouhani B, Vasseur J O. et al. Transmittivity through Straight and Stublike Waveguides in a Two-DimensionalPhononic Crystal. Phys Rev B, 2002, 65: 174308
[9] 曹永军, 杨 旭, 姜自磊. 弹性波通过一维复合材料系统的透射性质. 物理学报, 2009, 58(11): 7735-7740Cao Y J, Yang X, Jiang Z L. Transmission Property of Elastic Wave through One-Dimensional Compound Materials. Acta Phys-ica Sinica, 2009, 58(11): 7735-7740 (in Chinese) |
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