Broadband locally resonant beams containing multiple periodic arrays of attached resonators

被引:249
作者
Xiao, Yong [1 ,2 ,3 ]
Wen, Jihong [1 ,2 ,3 ]
Wen, Xisen [1 ,2 ,3 ]
机构
[1] Natl Univ Def Technol, Inst Mechatron Engn, Changsha 410073, Hunan, Peoples R China
[2] Natl Univ Def Technol, MOE Key Lab Photon & Phonon Crystals, Changsha 410073, Hunan, Peoples R China
[3] Natl Univ Def Technol, Lab Sci & Technol Integrated Logist Support, Changsha 410073, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
Periodic beams; Plane-wave-expansion method; Complex band structure; Locally resonant; WAVE-PROPAGATION; PHONONIC CRYSTALS; MODES;
D O I
10.1016/j.physleta.2012.02.059
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The plane wave expansion method is extended to study the flexural wave propagation in locally resonant beams with multiple periodic arrays of attached spring-mass resonators. Complex Bloch wave vectors are calculated to quantify the wave attenuation performance of band gaps. It is shown that a locally resonant beam with multiple arrays of damped resonators can achieve much broader band gaps, at frequencies both below and around the Bragg condition, than a locally resonant beam with only a single array of resonators, although the two systems have the same total resonator masses. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:1384 / 1390
页数:7
相关论文
共 28 条
[1]   Evidence of Fano-like interference phenomena in locally resonant materials -: art. no. 225502 [J].
Goffaux, C ;
Sánchez-Dehesa, J ;
Yeyati, AL ;
Lambin, P ;
Khelif, A ;
Vasseur, JO ;
Djafari-Rouhani, B .
PHYSICAL REVIEW LETTERS, 2002, 88 (22) :225502/1-225502/4
[2]  
Graff K., 1975, Wave Motion in Elastic Solids
[3]   Modeling of Lamb wave propagation in plate with two-dimensional phononic crystal layer coated on uniform substrate using plane-wave-expansion method [J].
Hou, Zhilin ;
Assouar, Badreddine A. .
PHYSICS LETTERS A, 2008, 372 (12) :2091-2097
[4]   Band Gaps in a Multiresonator Acoustic Metamaterial [J].
Huang, G. L. ;
Sun, C. T. .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2010, 132 (03) :0310031-0310036
[5]   ACOUSTIC BAND-STRUCTURE OF PERIODIC ELASTIC COMPOSITES [J].
KUSHWAHA, MS ;
HALEVI, P ;
DOBRZYNSKI, L ;
DJAFARIROUHANI, B .
PHYSICAL REVIEW LETTERS, 1993, 71 (13) :2022-2025
[6]   Wave Motion in Periodic Flexural Beams and Characterization of the Transition Between Bragg Scattering and Local Resonance [J].
Liu, Liao ;
Hussein, Mahmoud I. .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2012, 79 (01)
[7]   Design guidelines for flexural wave attenuation of slender beams with local resonators [J].
Liu, Yaozong ;
Yu, Dianlong ;
Li, Li ;
Zhao, Honggang ;
Wen, Jihong ;
Wen, Xisen .
PHYSICS LETTERS A, 2007, 362 (5-6) :344-347
[8]   Locally resonant sonic materials [J].
Liu, ZY ;
Zhang, XX ;
Mao, YW ;
Zhu, YY ;
Yang, ZY ;
Chan, CT ;
Sheng, P .
SCIENCE, 2000, 289 (5485) :1734-1736
[9]   Analytic model of phononic crystals with local resonances [J].
Liu, ZY ;
Chan, CT ;
Sheng, P .
PHYSICAL REVIEW B, 2005, 71 (01)