scholarly journals Flexural vibration band gaps for a phononic crystal beam with X-shaped local resonance metadamping structure

2017 ◽  
Vol 66 (14) ◽  
pp. 140701
Author(s):  
Du Chun-Yang ◽  
Yu Dian-Long ◽  
Liu Jiang-Wei ◽  
Wen Ji-Hong
Keyword(s):  
Phononic Crystal ◽  
Flexural Vibration ◽  
Band Gaps ◽  
Vibration Band ◽  
Local Resonance

Flexural Vibration Band Gaps in a Ternary Phononic Crystal Thin Plate

2011 ◽  
Vol 675-677 ◽  
pp. 1085-1088
Author(s):  
Zong Jian Yao ◽  
Gui Lan Yu ◽  
Jian Bao Li
Keyword(s):  
Band Gap ◽  
Thin Plate ◽  
Mass Density ◽  
Phononic Crystal ◽  
Flexural Vibration ◽  
Expansion Method ◽  
Band Gaps ◽  
Physical Parameters ◽  
Vibration Band ◽  
Filling Fraction

The band structures of flexural waves in a ternary locally resonant phononic crystal thin plate are studied using the improved plane wave expansion method. And the thin concrete plate composed of a square array of steel cylinders hemmed around by rubber is considered here. Absolute band gaps of flexural vibration with low frequency are shown. The calculation results show that the band gap width is strongly dependent on the filling fraction, the radius ratio, the mass density and the Young’s modulus contrasts between the core and the coating. So by changing these physical parameters, the required band gap could be obtained.

Flexural vibration band gaps in Bragg acoustical hyperstructure beam with local-resonance system

2019 ◽  
Vol 33 (23) ◽  
pp. 1950278 ◽  
Author(s):  
X. F. Lei ◽  
H. P. Hou ◽  
P. Liu ◽  
Z. F. Xu ◽  
S. H. Liu ◽  
...  
Keyword(s):  
Theoretical Model ◽  
Transmission Spectrum ◽  
Composite Beam ◽  
Reaction Force ◽  
Flexural Vibration ◽  
Reversed Phase ◽  
Band Gaps ◽  
Vibration Band ◽  
Resonance System ◽  
Local Resonance

Bragg acoustical hyperstructure can scatter elastic wave, local resonance system can fight against vibration by the reaction force with reversed phase in low-frequency range, for improving the scattering performance of Bragg hyperstructure, a novel composite beam of Bragg beam with local resonator is investigated theoretically. Its dispersion relations and bang gaps are calculated by the established theoretical model. In order to confirm the veritable existence of band gaps, the transmission spectrum of flexural vibration waves are also studied by finite-element method, and comparing the relationship of vibration transmission spectrum and band gaps, the results indicate that the proposed theoretical model can accurately predict the band gaps of the proposed composite beam. For probing the dispersion mechanics, comparing the band gaps and modes shapes of the proposed composite beam with an unalloyed Bragg beam, the results denoted that local resonator can add two band gaps at the base of Bragg beam. Further, the changes of the band gaps that depend on the local resonator and on Bragg beam are studied. It is indicated that the total band gaps can be narrowed when the resonance frequency of the local resonators located at the band gaps of the Bragg beam and the branches will become approximately flat. The band gaps will broaden if the branch that depends on the local resonator gets closer to the branch on Bragg beam.

Flexural vibration band gaps in a double-side phononic crystal plate

2015 ◽  
Vol 118 (4) ◽  
pp. 044906 ◽  
Author(s):  
Hao-Jiang Zhao ◽  
Hong-Wei Guo ◽  
Bing-Yan Li ◽  
Zong-Quan Deng ◽  
Rong-Qiang Liu
Keyword(s):  
Phononic Crystal ◽  
Flexural Vibration ◽  
Crystal Plate ◽  
Band Gaps ◽  
Vibration Band

Complete flexural vibration band gaps in membrane-like lattice structures

2006 ◽  
Vol 357 (2) ◽  
pp. 154-158 ◽  
Author(s):  
Dianlong Yu ◽  
Yaozong Liu ◽  
Jing Qiu ◽  
Gang Wang ◽  
Honggang Zhao
Keyword(s):  
Flexural Vibration ◽  
Band Gaps ◽  
Vibration Band ◽  
Lattice Structures

Effects of rotated square inserts on the longitudinal vibration band gaps in thin phononic crystal plates

2015 ◽  
Vol 29 (20) ◽  
pp. 1550105
Author(s):  
Haojiang Zhao ◽  
Rongqiang Liu ◽  
Chuang Shi ◽  
Hongwei Guo ◽  
Zongquan Deng
Keyword(s):  
Plane Wave ◽  
Longitudinal Vibration ◽  
Phononic Crystal ◽  
Expansion Method ◽  
Band Gaps ◽  
Vibration Band ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Filling Fraction ◽  
Gap Width

Longitudinal vibration of thin phononic crystal plates with a hybrid square-like array of square inserts is investigated. The plane wave expansion method is used to calculate the vibration band structure of the plate. Numerical results show that rotated square inserts can open several vibration gaps, and the band structures are twisted because of the rotation of inserts. Filling fraction and material of the insert affect the change law of the gap width versus the rotation angles of square inserts.

Flexural vibration band gaps in thin plates with two-dimensional binary locally resonant structures

2006 ◽  
Vol 15 (2) ◽  
pp. 266-271 ◽  
Author(s):  
Yu Dian-Long ◽  
Wang Gang ◽  
Liu Yao-Zong ◽  
Wen Ji-Hong ◽  
Qiu Jing
Keyword(s):  
Flexural Vibration ◽  
Band Gaps ◽  
Thin Plates ◽  
Vibration Band ◽  
Two Dimensional ◽  
Resonant Structures
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