Band gap design for one-dimensional periodic structure with three oscillators

被引：0
|
作者：
Gao Ming [1 ,2 ]
Wu Zhi-Qiang [1 ]
机构：
[1] Tianjin Univ, Sch Mech Engn, Dept Mech, Tianjin 300072, Peoples R China
[2] Shandong Univ Sci & Technol, Sch Sci, Dept Mech, Qingdao 266590, Peoples R China
来源：
ACTA PHYSICA SINICA | 2013年 / 62卷 / 14期
基金：
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词：
periodic structure; band gap design; singularity theory; WAVE-PROPAGATION; LOCALIZATION; ATTENUATION; VIBRATION; BEAM; RODS;
D O I：
10.7498/aps.62.140507
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Dimensionless dispersion curve equation of one-dimensional periodic structure with three oscillators is deduced. It is proved by singularity theory that the topology of the dispersion curves does not change with mass and stiffness parameter. Then the equations of initial and final frequencies of the bands are presented. The method of band gap design is gained consequently. Two examples i.e., the system with the same stiffness and the system with the same mass, are given to verify it. The method may provide the reference for designing the band gap of the photonic and phononic crystals.
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页数：7
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共 23 条
  • [1] Active periodic struts for a gearbox support system
    Asiri, S.
    Baz, A.
    Pines, D.
    [J]. SMART MATERIALS & STRUCTURES, 2006, 15 (06): : 1707 - 1714
  • [2] Active control of periodic structures
    Baz, A
    [J]. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2001, 123 (04): : 472 - 479
  • [3] Cao YJ, 2011, ACTA PHYS SIN, V60
  • [4] [陈斌 Chen Bin], 2011, [噪声与振动控制, Noise and Vibration Control], V31, P37
  • [5] Cheng S X, 2012, THESIS SHANGHAI JIAO
  • [6] Gao YW, 2010, J FUNCTIONAL MAT, V41, P368
  • [7] Golubitsky M, 1985, SINGULARITIES GROUPS, V1, P140
  • [8] Huang K, 1988, SOLID STATE PHYS, P154
  • [9] [黄修长 HUANG Xiu-chang], 2010, [噪声与振动控制, Noise and Vibration Control], V30, P9
  • [10] Frequency modulation in the transmittivity of wave guides elastic-wave band-gap materials
    Kafesaki, M
    Sigalas, MM
    García, N
    [J]. PHYSICAL REVIEW LETTERS, 2000, 85 (19) : 4044 - 4047
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