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一维周期结构中弹性波的色散关系研究

Dispersion relation of one-dimensional phonon crystals by mass-spring model
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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. 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.
出处 《哈尔滨商业大学学报(自然科学版)》 CAS 2008年第1期105-108,共4页 Journal of Harbin University of Commerce:Natural Sciences Edition
基金 国家自然科学基金项目(10572045)
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 dispersion relation band gap elastic wave and vibration periodic composite materials continua mechanics lattice dynamics spring-oscillator model
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  • 1YABLONOV I E. Inhibited spontaneous emission in solid - state physics and electronics[ J]. Physics Review Letters , 1987, 58 (20) : 2059-2062.
  • 2KUSHWAHA M S, HALEVI P , DOBRZYNSKI L, et al. Acoustic band - structure of periodic elastic composites[ J]. Physical Review Letters, 1993, 71 ( 13 ) :2022 - 2025.
  • 3SHEN Ming-rong, CAO Wen-wu. Accoustic bandgap formation in a periodic structure with multilayer unit cells [ J ]. J. Phys. D: Appl. Phys, 2000, 33 : 1150 - 1154.
  • 4KOBAYASHI F, BIWA S, OHNO N. Wave transmission characteristics in periodic media of finite length : multilayers and fiber arrays[ J ]. International Journal of Solids and Struetures, 2004, 41:7361 - 7375.
  • 5LIU Z Y, ZHANG X X , MAO Y W, et al. Locally Resonant Sonic Materials[ J]. Science,2000, 289 : 1734 - 1773.
  • 6温激鸿,王刚,刘耀宗,郁殿龙.基于集中质量法的一维声子晶体弹性波带隙计算[J].物理学报,2004,53(10):3384-3388. 被引量:111
  • 7JENSEN J S. Phononic band gaps and vibrations in one -and two - dimensional mass - spring structures[ J]. Journal d Sound and Vibration, 2003, 266:1053-1078.
  • 8黄昆原著,韩汝琦改编.固体物理学[M].北京:高等教育出版社,2001.

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