| 一维杆状声子晶体振动中的表面局域态研究 |
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| 引用本文： | 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[J].机械工程学报,2005,41(6):35-38. |
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| 作者姓名： | 郁殿龙 刘耀宗 王刚 温激鸿 邱静 |
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| 作者单位： | 国防科技大学机电工程与自动化学院,长沙,410073 |
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| 基金项目： | 国家973重大基础研究资助项目(51307)。 |
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| 摘 要： | 从两种材料组成的一维杆状声子晶体的振动方程出发,给出无限周期结构的振动波色散关系和半无限周期结构表面波色散关系。发现带隙宽度、表面波频率均与材料组份比有关。对于具有自由表面的声子晶体,当自由表面层材料的速度小于另外一种材料速度时,存在表面局域态。利用有限元法,仿真了有限结构声子晶体的振动频率响应。当存在表面局域态时,振动频率响应在带隙频率范围内出现共振峰,这些共振峰至少减小了声子晶体20dB的减振效果。
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| 关 键 词： | 声子晶体 振动带隙 表面局域态 |
| 修稿时间： | 2004年6月23日 |
RESEARCH ON THE SURFACE LOCALIZED VIBRATION MODES IN ONE DIMENSINAL PHONONIC CRYSTALS COMPOSED OF ROD STRUCTURES |
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| Yu Dianlong,Liu Yaozong,Wang Gang,Wen Jihong,QIU Jing.RESEARCH ON THE SURFACE LOCALIZED VIBRATION MODES IN ONE DIMENSINAL PHONONIC CRYSTALS COMPOSED OF ROD STRUCTURES[J].Chinese Journal of Mechanical Engineering,2005,41(6):35-38. |
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| Authors: | Yu Dianlong Liu Yaozong Wang Gang Wen Jihong QIU Jing |
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| Abstract: | Based on the vibrational equation of the one-dimensional thin rod phononic crystals composed of two kind of material, the vibrational wave and surface wave implicit dispersion relation in periodically layered infinite and semi-infinite media are provided. The width of band gaps and surface wave frequency both relate with the material portion ratio. For the phononic crystals with a free surface, the necessary condition for the existence of the surface localized modes in the free surface is found to be the velocity of the material with free surface less than that of the other material. Using the finite element method, the vibrational frequency response of finite-size phononic crystals and found the particular resonance peak due to the surface localized modes in the band gaps is calculated. These resonance peaks decreae the frequency response attenuation at least 20 dB. |
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| Keywords: | Phononic crystals Vibration band gap Surface localized modes |
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