| 周期薄壁开口梁中的双耦合振动带隙 |
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| 引用本文： | 郁殿龙,刘耀宗,邱静,王刚,温激鸿.周期薄壁开口梁中的双耦合振动带隙[J].中国物理 B,2005,14(8):1501-1506. |
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| 作者姓名： | 郁殿龙 刘耀宗 邱静 王刚 温激鸿 |
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| 作者单位： | Institute of Mechatronical Engineering, National University of Defense
Technology, Changsha \ {\rm 410073}, China;PBG Research Center, National University of Defense Technology, Changsha 410073, China};Institute of Mechatronical Engineering, National University of Defense
Technology, Changsha \ {\rm 410073}, China;PBG Research Center, National University of Defense Technology, Changsha 410073, China};Institute of Mechatronical Engineering, National University of Defense
Technology, Changsha \ {\rm 410073}, China;PBG Research Center, National University of Defense Technology, Changsha 410073, China};Institute of Mechatronical Engineering, National University of Defense
Technology, Changsha \ {\rm 410073}, China;PBG Research Center, National University of Defense Technology, Changsha 410073, China};Institute of Mechatronical Engineering, National University of Defense
Technology, Changsha \ {\rm 410073}, China;PBG Research Center, National University of Defense Technology, Changsha 410073, China} |
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| 基金项目： | Project supported by the 973 State Key Development Program for Basic Research of China (Grant No 51307). |
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| 摘 要： | 本文研究了由两种材料组合构成的周期性薄壁开口梁的弯曲和扭转双耦合振动。基于双耦合振动方程，给出了平面波展开法。当填充比不变时，晶格常数是影响带隙相对宽带的一个因素；当晶格常数和填充比不变时，杨氏模量是影响带隙宽带的主要因素，而不是密度。利用有限元法计算了有限周期结构的振动频率响应，在带隙频率范围内，振动衰减40dB左右。这些发现对于声子晶体的应用具有重要意义。
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| 关 键 词： | 声子晶体 双耦合振动 带隙 薄壁梁 |
| 收稿时间： | 2005-01-12 |
Doubly coupled vibration band gaps in periodic thin-walled open cross-section beams |
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| Yu Dian-Long,Liu Yao-Zong,Qiu Jing,Wang Gang and Wen Ji-Hong.Doubly coupled vibration band gaps in periodic thin-walled open cross-section beams[J].Chinese Physics B,2005,14(8):1501-1506. |
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| Authors: | Yu Dian-Long Liu Yao-Zong Qiu Jing Wang Gang and Wen Ji-Hong |
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| Institution: | Institute of Mechatronical Engineering, National University of Defense
Technology, Changsha \ {\rm 410073}, China;PBG Research Center, National University of Defense Technology, Changsha 410073, China} |
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| Abstract: | This paper studies flexural-torsional doubly coupled vibration through periodic thin-walled
open cross-section beams composed of two kinds of materials.Based on the doubly coupled vibration equation, plane wave expansion method for the thin-walled beams is provided. If the filling fraction keeps constant, the lattice is one of the factors that affect the normalized gap width. If the lattice and filling fraction keeps constant, the Young modulus contrast plays a fundamental role for the band gap width, but not density contrast. Finally, the frequency response of a finite periodic
binary beam is simulated by finite element method, which provides an attenuation of about 40dB in the frequency range of the band gaps. The findings will be significant in the application of phononic crystals. |
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| Keywords: | phononic crystals doubly coupled vibration band gaps thin-walled beam |
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