| 一维周期结构中弹性波的色散关系研究 |
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| 引用本文： | 王毅泽,胡超,黄文虎. 一维周期结构中弹性波的色散关系研究[J]. 哈尔滨商业大学学报(自然科学版), 2008, 24(1): 105-108 |
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| 作者姓名： | 王毅泽 胡超 黄文虎 |
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| 作者单位： | 哈尔滨工业大学,航天工程与力学系,哈尔滨,150001 |
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| 摘 要： | 分别采用3种方法，即分别基于连续统力学、晶格动力学（单弹簧振子）和多弹簧振子模型，对一维层合结构中的弹性波传播问题进行了研究，分析了一维声子晶体中SH波的色散关系与带隙结构．作为算例，计算了钨／天然橡胶声子晶体的剪切波传播特性，得到了一、二带隙起始、截止频率，对比了3种方法的计算结果．
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| 关 键 词： | 色散关系 带隙 弹性波与振动 周期性复合材料 连续统力学 晶格动力学 弹簧-振子模型 |
| 文章编号： | 1672-0946（2008）01-0105-04 |
| 收稿时间： | 2007-04-21 |
| 修稿时间： | 2007-04-21 |
Dispersion relation of one-dimensional phonon crystals by mass-spring model |
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| WANG Yi-ze,HU Chao,HUANG Wen-hu. Dispersion relation of one-dimensional phonon crystals by mass-spring model[J]. Journal of Harbin University of Commerce :Natural Sciences Edition, 2008, 24(1): 105-108 |
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| Authors: | WANG Yi-ze HU Chao HUANG Wen-hu |
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| Affiliation: | WANG Yi-ze, HU Chao, HUANG Wen-hu (Department of Aerospace Engineering Mechnical, Harbin Institute of Technology, Harbin 150001, China) |
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| Abstract: | Bases on the theory of continua mechanics, lattice dynamics （ single spring-oscillator） and multiple spring-oscillator model, the properties of elastic wave in 1D lamination structure are investigated in this paper, the dispersion relation and band structure of SH wave in 1D phonon crystals are analyzed. As a example, the properties of W / nature rubber under SH wave are calculated, the limiting frequencies of first and second band gaps are derived, the results that applied the three methods above are compared. |
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| Keywords: | dispersion relation band gap elastic wave and vibration periodic composite materials continua mechanics lattice dynamics spring-oscillator model |
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