Quasi-one-dimensional phononic crystals studied using the improved lumped-mass method: Application to locally resonant beams with flexural wave band gap

2005 ◽  
Vol 71 (10) ◽  
Author(s):  
Gang Wang ◽  
Jihong Wen ◽  
Xisen Wen
Keyword(s):  
Band Gap ◽  
Phononic Crystals ◽  
Flexural Wave ◽  
Wave Band ◽  
Lumped Mass ◽  
One Dimensional ◽  
Lumped Mass Method

Study on the Band Gap and its Influencing Factors for one Dimensional Phononic Crystal

2011 ◽  
Vol 121-126 ◽  
pp. 448-452
Author(s):  
Yu Yang He ◽  
Xiao Xiong Jin
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Band Gap ◽  
Cross Section ◽  
Phononic Crystal ◽  
Filling Rate ◽  
Lumped Mass ◽  
Height Ratio ◽  
One Dimensional ◽  
Lumped Mass Method

The width of band gap is calculated with lumped mass method in order to study the wave propagation of longitudinal and transverse elastic wave of one-dimensional phononic crystal. The starting and terminating frequency is analyzed by changing the filling rate, the density difference of two materials, cross-section height ratio, and the Young's modulus of the scatter.

Wave Propagation Characteristics of One Dimensional Rod Phononic Crystal

2012 ◽  
Vol 452-453 ◽  
pp. 1230-1234
Author(s):  
Xiao Jian Liu ◽  
You Hua Fan
Keyword(s):  
Wave Propagation ◽  
Phononic Crystal ◽  
Wave Band ◽  
Propagation Characteristics ◽  
Lumped Mass ◽  
Periodic Load ◽  
One Dimensional ◽  
Lumped Mass Method ◽  
The One ◽  
Discrete Mass

The elastic wave band structures of the one dimensional rod phononic crystal are studied by the lumped-mass method. For the infinite periodic structure, the accuracy of numerical results is influenced by the number of discrete mass. The initial and stop frequecy of the first bandgap need different number of discrete mass to achieve calculation accuracy when two materials composed phononic crystal at different volume ratios. For the finite structure, the different arrangements make different width of the attenuation area at periodic load. The width of the bangap exhibits largely when the external load acts on the matrial with lower denstiy and elastic modulus in front of the higher density and elastic mudulus material.

Research on flexural wave band gap of a thin circular plate of piezoelectric radial phononic crystals

2014 ◽  
Vol 22 (7) ◽  
pp. 1777-1789 ◽  
Author(s):  
Haisheng Shu ◽  
Wei Liu ◽  
Shidan Li ◽  
Liqiang Dong ◽  
Weiyuan Wang ◽  
...  
Keyword(s):  
Band Gap ◽  
Circular Plate ◽  
Phononic Crystals ◽  
Flexural Wave ◽  
Wave Band ◽  
Thin Circular Plate

One-Dimensional Bi-Stage Phononic Band Gap Shaft Structure for Reducing Torsional Vibration

2011 ◽  
Vol 141 ◽  
pp. 54-58 ◽  
Author(s):  
Li Xia Li ◽  
Tian Ning Chen ◽  
Xiao Peng Wang ◽  
Bo Li
Keyword(s):  
Band Gap ◽  
Torsional Vibration ◽  
Band Gaps ◽  
Relative Width ◽  
Vibration Band ◽  
Lumped Mass ◽  
One Dimensional ◽  
Phononic Band Gap ◽  
Lumped Mass Method ◽  
The One

In this paper, a one-dimensional bi-stage phononic band gap (PBG) structure based on double local resonant effects is presented to reduce the torsional vibration for the first time. A unit cell of the bi-stage PBG structure is composed of two harmonic LR oscillators in the radial direction, distributed periodically along the shaft. A new method, combining the transfer matrix method and the lumped-mass method is proposed to study the torsional vibration band gaps of the double PBG-like shaft theoretically and proved by the finite element method. The results show that the mid-gap frequency of the bi-stage PBG structure shaft is lower than that in the one-stage PBG shaft and the relative width of the band gaps reaches 1.3 with the average attenuation of the vibration amplitude about 40dB.

scholarly journals Lumped-mass method on calculation of elastic band gaps of one-dimensional phononic crystals

2004 ◽  
Vol 53 (10) ◽  
pp. 3384
Author(s):  
Wen Ji-Hong ◽  
Wang Gang ◽  
Liu Yao-Zong ◽  
Yu Dian-Long
Keyword(s):  
Phononic Crystals ◽  
Band Gaps ◽  
Lumped Mass ◽  
Elastic Band ◽  
One Dimensional ◽  
Lumped Mass Method ◽  
Elastic Band Gaps

Topological Interface States in the Low-Frequency Band Gap of One-Dimensional Phononic Crystals

2020 ◽  
Vol 14 (5) ◽  
Author(s):  
Zheng-wei Li ◽  
Xin-sheng Fang ◽  
Bin Liang ◽  
Yong Li ◽  
Jian-chun Cheng
Keyword(s):  
Band Gap ◽  
Frequency Band ◽  
Low Frequency ◽  
Interface States ◽  
Phononic Crystals ◽  
One Dimensional

Large Lamb wave band gap in phononic crystals thin plates

2008 ◽  
Vol 90 (3-4) ◽  
pp. 557-559 ◽  
Author(s):  
Jiu-Jiu Chen ◽  
Feng Yan ◽  
H.L.W. Chan
Keyword(s):  
Band Gap ◽  
Lamb Wave ◽  
Phononic Crystals ◽  
Thin Plates ◽  
Wave Band
Sign in / Sign up

Export Citation Format

Share Document