Elastic wave localization in two-dimensional phononic crystals with one-dimensional random disorder and aperiodicity

2011 ◽  
Vol 406 (5) ◽  
pp. 1154-1161 ◽  
Author(s):  
Zhi-Zhong Yan ◽  
Chuanzeng Zhang ◽  
Yue-Sheng Wang
Keyword(s):  
Elastic Wave ◽  
Phononic Crystals ◽  
Two Dimensional ◽  
Wave Localization ◽  
One Dimensional ◽  
Random Disorder

Elastic Wave Localization in Two-Dimensional Phononic Crystals with One-Dimensional Aperiodicity

2011 ◽  
Vol 52-54 ◽  
pp. 1131-1136
Author(s):  
Zhi Zhong Yan ◽  
Chuan Zeng Zhang ◽  
Yue Sheng Wang
Keyword(s):  
Elastic Waves ◽  
Periodic Sequence ◽  
Phononic Crystals ◽  
Two Dimensional ◽  
Wave Localization ◽  
Band Structures ◽  
One Dimensional ◽  
Transmission Coefficients ◽  
Localization Factor ◽  
Match Theory

The band structures of in-plane elastic waves propagating in two-dimensional phononic crystals with one-dimensional aperiodicity are analyzed in this paper. The localization of wave propagation is discussed by introducing the concept of the localization factor that is calculated by the plane-wave-based transfer-matrix method. By treating the aperiodicity as the deviation from the periodicity in a special way, two kinds of aperiodic phononic crystals that have Thue-Morse and Rudin-Shapiro sequence in one direction and translational symmetry in the other direction are considered. The transmission coefficients based on eigenmode match theory are also calculated and the results show the same behaviors as the localization factor does. In the case of Thue-Morse and Rudin-Shapiro structures, the band structures of Thue-Morse sequence exhibit similarities with quasi-periodic sequence not present in the results of Rudin-Shapiro sequence.

Influence of Random Disorders on Anti-Plane Waveguiding Modes in a Two-Dimensional Phononic Crystal

2011 ◽  
Vol 197-198 ◽  
pp. 352-357
Author(s):  
A Li Chen ◽  
Yue Sheng Wang ◽  
Chuan Zeng Zhang
Keyword(s):  
Phononic Crystal ◽  
Expansion Method ◽  
Guided Wave ◽  
Phononic Crystals ◽  
Two Dimensional ◽  
Wave Localization ◽  
Plane Wave Expansion Method ◽  
Band Structures ◽  
Line Defects ◽  
Random Disorder

In this paper, combined with the supercell technique, the plane wave expansion method is used to calculate the band structures of the two-dimensional phononic crystals with line defects and the random disorders in either radius or location of the scatterers. Phononic systems with plumbum scatterers embedded in an epoxy matrix are calculated in detail. The influences of the random disorder on the band structures of anti-plane waveguiding modes will be discussed. The displacement distributions are calculated to show the wave localization phenomenon. Propagation of the guided wave in the phononic crystals with different disordered degree is studied. The analysis is relevant to the assessment of the influences of manufacture errors on wave behaviors in waveguiding phononic crystals as well as the possible control of wave propagation by intentionally introducing disorders into the systems.

Numerical Solution for Two-Dimensional Elastic Wave Propagation in Finite Bars

1967 ◽  
Vol 34 (3) ◽  
pp. 725-734 ◽  
Author(s):  
L. D. Bertholf
Keyword(s):  
Experimental Data ◽  
Wave Propagation ◽  
Elastic Wave ◽  
Numerical Solutions ◽  
Step Change ◽  
Two Dimensional ◽  
One Dimensional ◽  
Elastic Bar ◽  
The One ◽  
The Impact

Numerical solutions of the exact equations for axisymmetric wave propagation are obtained with continuous and discontinuous loadings at the impact end of an elastic bar. The solution for a step change in stress agrees with experimental data near the end of the bar and exhibits a region that agrees with the one-dimensional strain approximation. The solution for an applied harmonic displacement closely approaches the Pochhammer-Chree solution at distances removed from the point of application. Reflections from free and rigid-lubricated ends are studied. The solutions after reflection are compared with the elementary one-dimensional stress approximation.

The directional propagation characteristics of elastic wave in two-dimensional thin plate phononic crystals

2007 ◽  
Vol 364 (3-4) ◽  
pp. 323-328 ◽  
Author(s):  
Jihong Wen ◽  
Dianlong Yu ◽  
Gang Wang ◽  
Honggang Zhao ◽  
Yaozong Liu ◽  
...  
Keyword(s):  
Elastic Wave ◽  
Thin Plate ◽  
Phononic Crystals ◽  
Two Dimensional ◽  
Propagation Characteristics
Sign in / Sign up

Export Citation Format

Share Document