A modified transfer matrix method for the study of the bending vibration band structure in phononic crystal Euler beams

被引：79

作者：

Han, Lin ^{[1
]}

Zhang, Yan ^{[1
]}

Ni, Zhi-Qiang ^{[1
]}

Zhang, Zi-Ming ^{[1
]}

Jiang, Lin-Hua ^{[1
]}

机构：

[1] Hohai Univ, Coll Mech & Mat, Nanjing 210098, Jiangsu, Peoples R China

来源：

PHYSICA B-CONDENSED MATTER | 2012年 / 407卷 / 23期

基金：

中国国家自然科学基金;

关键词：

Phononic crystal; Euler beam; Modified transfer matrix method; Band structure; LOCALLY RESONANT STRUCTURES; ACOUSTIC-WAVES; PERIODIC STRUCTURES; GAPS; PROPAGATION; COMPOSITES; PIPE; SCATTERING; LATTICES; FLUID;

D O I：

10.1016/j.physb.2012.08.022

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We introduce a modified transfer matrix (MTM) method for the calculation of the bending vibration band structure of one-dimensional phononic crystal (PC) Euler beams. A particular combination of hyperbolic functions and triangular functions is introduced to transform the state parameters of the transfer matrix (TM) method into four initial parameters, which have the explicit meanings of the displacement, rotation angle, bending moment and shear force at one beam end. The method is used to calculate the band structures of two PC Euler beams constructed from aluminum-Lucite and 100 kinds of materials respectively. The effectiveness and high efficiency of the MTM method are demonstrated by the results. Several advantages make it a proper choice for the calculation of the bending vibration band structure of PC Euler beams. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：4579 / 4583

页数：5

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