Band gaps of lamb waves in one- dimensional piezoelectric composite plates: effect of substrate and boundary conditions

2009 ◽  
Vol 56 (2) ◽  
pp. 361-367 ◽  
Author(s):  
X.-Y. Zou ◽  
B. Liang ◽  
Q. Chen ◽  
J.-C. Cheng
Keyword(s):  
Boundary Conditions ◽  
Lamb Waves ◽  
Composite Plates ◽  
Band Gaps ◽  
Piezoelectric Composite ◽  
One Dimensional

Band Gaps of Lamb Waves Propagating in One-Dimensional Different Quasi-Periodic Composite Thin Plates

2012 ◽  
Vol 160 ◽  
pp. 175-179
Author(s):  
Jian Gao ◽  
Min Zhao ◽  
Ya Zhuo Xie ◽  
Xing Gan Zhang
Keyword(s):  
Lamb Waves ◽  
Plate Thickness ◽  
Physical Property ◽  
Composite Plates ◽  
Band Gaps ◽  
Thin Plates ◽  
Periodic Sequences ◽  
One Dimensional ◽  
Periodic Composite ◽  
Periodic Models

We present a comparative study on band-gap structures of Lamb waves propagating in one-dimensional quasi-periodic composite thin plates, which are composed of different quasi-periodic models such as Cantor, Fibonacci, Thue-Morse, and Double periodic sequences, respectively. The transmitted power spectra (TPS) of the transient Lamb waves propagating in composite plates is calculated numerically by employing the finite element method. By comparing among TPS in different plates with the different ratios of the plate thickness to the lattice spacing, it is found that different quasi-periodic models present different behavior of the split-up of band gaps. Our works are significant not only for understanding intrinsic physical property of the quasi-periodic sequences, but also for designing the special structures of quasi-periodic arrays to adjust the width of band gaps and the frequency ranges of phononic crystals in applications.

Controllable acoustic rectification in one-dimensional piezoelectric composite plates

2013 ◽  
Vol 114 (16) ◽  
pp. 164504 ◽  
Author(s):  
Xin-Ye Zou ◽  
Bin Liang ◽  
Ying Yuan ◽  
Xue-Feng Zhu ◽  
Jian-Chun Cheng
Keyword(s):  
Composite Plates ◽  
Piezoelectric Composite ◽  
One Dimensional

scholarly journals Creating the Coupled Band Gaps in Piezoelectric Composite Plates by Interconnected Electric Impedance

Materials ◽  
2018 ◽  
Vol 11 (9) ◽  
pp. 1656 ◽  
Author(s):  
Lin Li ◽  
Zhou Jiang ◽  
Yu Fan ◽  
Jun Li
Keyword(s):  
Band Gap ◽  
Piezoelectric Materials ◽  
Composite Plates ◽  
Forced Response ◽  
Band Gaps ◽  
Piezoelectric Composite ◽  
Flexural Wave ◽  
Response Analysis ◽  
Flexural Waves ◽  
Single Wave

In this paper, we investigate the coupled band gaps created by the locking phenomenon between the electric and flexural waves in piezoelectric composite plates. To do that, the distributed piezoelectric materials should be interconnected via a ‘global’ electric network rather than the respective ‘local’ impedance. Once the uncoupled electric wave has the same wavelength and opposite group velocity as the uncoupled flexural wave, the desired coupled band gap emerges. The Wave Finite Element Method (WFEM) is used to investigate the evolution of the coupled band gap with respect to propagation direction and electric parameters. Further, the bandwidth and directionality of the coupled band gap are compared with the LR and Bragg gaps. An indicator termed ratio of single wave (RSW) is proposed to determine the effective band gap for a given deformation (electric, flexural, etc.). The features of the coupled band gap are validated by a forced response analysis. We show that the coupled band gap, despite directional, can be much wider than the LR gap with the same overall inductance. This might lead to an alternative to adaptively create band gaps.

Band gaps of Lamb waves propagating in one-dimensional periodic and nesting Fibonacci superlattices thin plates

2013 ◽  
Vol 546 ◽  
pp. 439-442 ◽  
Author(s):  
Min Zhao ◽  
Ya-Zhuo Xie ◽  
Xing-Gan Zhang ◽  
Jian Gao
Keyword(s):  
Lamb Waves ◽  
Band Gaps ◽  
Thin Plates ◽  
One Dimensional

Lamb wave band gaps in one-dimensional radial phononic crystal slabs

2015 ◽  
Vol 29 (03) ◽  
pp. 1550002 ◽  
Author(s):  
Yinggang Li ◽  
Tianning Chen ◽  
Xiaopeng Wang
Keyword(s):  
Finite Element ◽  
Axial Symmetry ◽  
Lamb Wave ◽  
Lamb Waves ◽  
Phononic Crystal ◽  
Band Gaps ◽  
Slab Thickness ◽  
Wave Band ◽  
Filling Fraction ◽  
One Dimensional

In this paper, we theoretically investigate the band structures of Lamb wave in one-dimensional radial phononic crystal (PC) slabs composed of a series of alternating strips of epoxy and aluminum. The dispersion relations, the power transmission spectra and the displacement fields of the eigenmodes are calculated by using the finite element method based on two-dimensional axial symmetry models in cylindrical coordinates. The axial symmetry model is validated by three-dimensional finite element model in Cartesian coordinates. Numerical results show that the proposed radial PC slabs can yield several complete band gaps with a variable bandwidth exist for elastic waves. Furthermore, the effects of the filling fraction and the slab thickness on the band gaps are further explored numerically. It is worth observing that, with the increase of the filling fraction, both the lower and upper edges of the band gaps are simultaneously shifted to higher frequency, which results from the enhancement interaction between the rigid resonance of the scatterer and the matrix. The slab thickness is the key parameter for the existence and the width of complete band gaps in the radial PC slabs. These properties of Lamb waves in the radial PC plates can potentially be applied to optimize band gaps, generate filters and design acoustic devices in the rotary machines and structures.

Propagation of Lamb Waves in one Dimensional Nesting Fibonacci Superlattices Thin Plates

2011 ◽  
Vol 121-126 ◽  
pp. 306-310
Author(s):  
Jian Gao ◽  
Xiu Fen Wu ◽  
Xing Gan Zhang
Keyword(s):  
Comparative Study ◽  
Band Gap ◽  
Thin Plate ◽  
Lamb Waves ◽  
Band Gaps ◽  
Thin Plates ◽  
Periodic Sequences ◽  
One Dimensional ◽  
Engineering Requirement ◽  
Fibonacci Sequences

We present a comparative study on band-gap structures of Lamb waves propagating in one-dimensional periodic sequences thin plate, Fibonacci sequences thin plate, and the nesting Fibonacci superlattices thin plates with different generation numbers respectively. By comparing among TPS in different plates, it is found that Fibonacci model doesn’t present band gaps with generation numbers , , and . Band gaps occur and split in Fibonacci model when generation number increases to . But for the nesting Fibonacci superlattices with , more band gaps occur and band gaps become very flat. With generation numbers increase to , , and , more new band gaps present. It provides flexible choices for real engineering requirement.

Coupled Band Gaps in the Piezoelectric Composite Plate With Interconnected Electric Impedance

2018 ◽  
Author(s):  
Lin Li ◽  
Zhou Jiang ◽  
Yu Fan ◽  
Jun Li
Keyword(s):  
Band Gap ◽  
Piezoelectric Materials ◽  
Composite Plates ◽  
Band Gaps ◽  
Piezoelectric Composite ◽  
Flexural Wave ◽  
Flexural Waves ◽  
Single Wave ◽  
Electric Parameters ◽  
Sub Wavelength

In this paper, we investigate the coupled band gaps created by the locking phenomenon between the electrical and flexural waves in piezoelectric composite plates. To do that, the distributed piezoelectric materials should be interconnected via a ‘global’ electric network rather than the respective ‘local’ impedance. Once the uncoupled electrical wave has the same wavelength and opposite group velocity as the uncoupled flexural wave, the desired coupled band gap emerges. The Wave Finite Element Method (WFEM) is used to investigate the evolution of the coupled band gap with respect to propagation direction and electric parameters. Further, the bandwidth and directionality of the coupled band gap are compared with the LR and Bragg gaps. An indicator termed ratio of single wave (RSW) is proposed to determine the effective band gap for a given deformation (electric, flexural, etc.). We show that the coupled band gap, despite directional, can be much wider than the LR gap with the same overall inductance. This might lead to an alternative to create sub-wavelength band gaps.

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