Study on band gaps of elastic waves propagating in one-dimensional disordered phononic crystals

2007 ◽  
Vol 392 (1-2) ◽  
pp. 369-378 ◽  
Author(s):  
A.-Li Chen ◽  
Yue-Sheng Wang
2017 ◽  
Vol 11 (1) ◽  
pp. 017201 ◽  
Author(s):  
Ingi Kim ◽  
Satoshi Iwamoto ◽  
Yasuhiko Arakawa

2005 ◽  
Vol 73 (1) ◽  
pp. 167-170 ◽  
Author(s):  
Gang Wang ◽  
Xisen Wen ◽  
Jihong Wen ◽  
Yaozong Liu

The propagation of longitudinal elastic waves in quasi one-dimensional structure consisting of harmonic oscillators periodically jointed on a slender beam is studied. Sub-frequency locally resonant band gap with highly asymmetric attenuation is observed in both theoretical and experimental results, and both results match well. The stiffness and mass ratios are found analytically as two factors that influence the actual attenuation in the band gap of the locally resonant phononic crystals. The study on the weights of the two factors shows that the stiffness ratio is the key one. Thus, the reason for the mismatch between the regions of the sharp attenuation and the theoretical band gap in the locally resonant phononic crystals is discovered.


2007 ◽  
Vol 366 (4-5) ◽  
pp. 493-496 ◽  
Author(s):  
Jiu-Jiu Chen ◽  
H.L.W. Chan ◽  
Jian-Chun Cheng

2011 ◽  
Vol 211-212 ◽  
pp. 609-614 ◽  
Author(s):  
Qi Hua Wen

By deducing the spherical elastic wave equation in theory, the concept of sphere-radial phononic crystal is proposed, and then the equations to determine the acoustic band structures is deduced. A numerical example is given for steel/nitrile rubber phononic crystal. The numerical simulation results suggest that the band gaps of sphere-radial phononic crystals do exist, which have better attenuation characteristics and practical application performance than the one-dimensional phononic crystals.


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