Study on Vibration Band Gap Characteristics of Phononic Crystal Consisted of Ti and Rubber

2009 ◽  
Vol 79-82 ◽  
pp. 3-6
Author(s):  
Yan Lin Wang ◽  
Zi Dong Wang ◽  
Zhuo Fei Song
Keyword(s):  
Band Gap ◽  
Volume Fraction ◽  
Phononic Crystal ◽  
Cutoff Frequency ◽  
Vibration Band ◽  
Lumped Mass ◽  
Vibration Effect ◽  
Initial Frequency ◽  
Lumped Mass Method ◽  
Gap Characteristics

The vibration band gaps of one dimensional phononic crystal of rod structure consisted of Ti and Rubber were studied using the lumped-mass method and finite element simulation, the influences of vibration band gap by the periodicity and volume fraction were discussed. The results show that the initial frequency and cutoff frequency have little influence by the periodicity, but the anti-vibration effect is more effective as the periodicity increases; the cutoff frequency gradually decreases, the initial frequency decreases first and then increases as the volume fraction increases.

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.

Study on Band Gap Structure of One Dimensional Phononic Crystals

2010 ◽  
Vol 152-153 ◽  
pp. 1696-1699 ◽  
Author(s):  
Yan Lin Wang ◽  
Ming Wen Chen ◽  
Zi Dong Wang
Keyword(s):  
Band Gap ◽  
Lattice Constant ◽  
Phononic Crystal ◽  
Vibration Band ◽  
Material Density ◽  
One Dimensional ◽  
Initial Frequency ◽  
Band Gap Structure ◽  
Vibration Noise ◽  
Gap Structure

The vibration noise control is critical in engineering fields and the phononic crystal provides a new mean to control the vibration noise. The band gap structure of one dimensional phononic crystal is studied in this paper. By using the equivalent masses method we obtain the band gap structure which depends on M, m and β, the influences of initial frequency of vibration band gap via the material density, the diameter of rod and the lattice constant are analyzed. The results show that the low-frequency broadband gap characteristic is obtained by increasing M and reducing m, β. The initial frequency of vibration band gap decreases as the metal material density, the diameter of metal rod or the lattice constant increase. Some conclusions from numerical calculation are examined by the vibration experiment.

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.

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.

Suppression of Lateral Vibration in Rectangular Ultrasonic Plastic Soldering Tool Based on Phononic Crystal Structure

2019 ◽  
Vol 105 (6) ◽  
pp. 953-959
Author(s):  
Tian-Tian Zhao ◽  
Shu-Yu Lin
Keyword(s):  
Band Gap ◽  
Phononic Crystal ◽  
Matrix Material ◽  
Surface Displacement ◽  
Vibration Band ◽  
Lateral Vibration ◽  
Large Size ◽  
Before And After ◽  
Practical Engineering ◽  
Scattering Material

In this paper, the design of large-size rectangular ultrasonic plastic soldering system is studied by using the band gap theory of phononic crystal and coupled vibration theory of large-size rectangular tool. In practical engineering applications, lateral vibration of the large-size rectangular tool will seriously cause the displacement of the tool's radiation surface uneven. So the lateral vibration of the tool should be suppressed. As we all know, phononic crystal materials can suppress the vibration and they are composed of two or more different materials periodically (including matrix material and scattering material). This paper uses periodic slotted structure to suppress the lateral vibration of the large-size rectangular tool. The lateral vibration band gap of the large-size rectangular tool which has periodic slotted structure in this paper is simulated. In addition, the influence of the scatterer's size on the lateral vibration band gap is also obtained. At the same time, the magnitude and uniformity of the tool's radiation surface displacement before and after slotting is compared in experiments. The research shows that by reasonably designing the periodic structure and size of the phononic crystal, the lateral vibration of the large-size rectangular tool can be effectively suppressed, and the displacement of the tool's radiation surface can be more even.

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.

Active tuning of the vibration band gap characteristics of periodic laminated composite metamaterial beams

2020 ◽  
Vol 31 (6) ◽  
pp. 843-859 ◽  
Author(s):  
Tao Ren ◽  
Chunchuan Liu ◽  
Fengming Li ◽  
Chuanzeng Zhang
Keyword(s):  
Band Gap ◽  
Piezoelectric Actuator ◽  
Composite Beam ◽  
Laminated Composite ◽  
Dynamic Responses ◽  
Vibration Band ◽  
Gap Characteristics ◽  
Laminated Composite Beam ◽  
Gap Width ◽  
Band Gap Width

A novel strategy is proposed to investigate the vibration band-gap and active tuning characteristics of the laminated composite metamaterial beams. The piezoelectric actuator/sensor pairs are periodically placed along the laminated composite beam axis so that the vibration frequency band-gap and active tuning characteristics can be induced. The dynamic equations of the laminated composite metamaterial beams bonded by the piezoelectric actuator/sensor pairs are established based on the Euler–Bernoulli beam theory. The negative proportional feedback control strategy is employed to provide the positive active control stiffness for the piezoelectric actuator/sensor patches. The spectral element method is used to calculate the dynamic responses of the laminated composite metamaterial beams with the periodically placed piezoelectric patches, and the calculation accuracy for the dynamic responses is validated by the finite element method. The results demonstrating the high-performance vibration band-gap properties in the low-frequency ranges can be achieved by properly designing the sizes and the number of the piezoelectric patches. Moreover, the vibration band-gap characteristics, especially the band-gap width and the normalized band-gap width with respect to the considered excitation frequency range, can be significantly changed by tuning the structural parameters of the piezoelectric actuators and sensors. In addition, the cross-ply angle of the laminated composite metamaterial beams has significant influences on the band-gap characteristics and the vibration reduction performance of the laminated composite beam structures.

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