Temperature effects on the band gaps of Lamb waves in a one-dimensional phononic-crystal plate (L)

2011 ◽  
Vol 129 (3) ◽  
pp. 1157-1160 ◽  
Author(s):  
Y. Cheng ◽  
X. J. Liu ◽  
D. J. Wu

2015 ◽  
Vol 29 (03) ◽  
pp. 1550002 ◽  
Author(s):  
Yinggang Li ◽  
Tianning Chen ◽  
Xiaopeng Wang

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.



2011 ◽  
Vol 406 (11) ◽  
pp. 2249-2253 ◽  
Author(s):  
Yuanwei Yao ◽  
Zhilin Hou ◽  
Fugen Wu ◽  
Xin Zhang


Crystals ◽  
2020 ◽  
Vol 10 (9) ◽  
pp. 799
Author(s):  
Lili Yuan ◽  
Peng Zhao ◽  
Yong Ding ◽  
Benjie Ding ◽  
Jianke Du ◽  
...  

In the paper, a phononic crystal plate composed of a magnetorheological elastomer with adjustable band gaps in the low frequency range is constructed. The dispersion relations of Lamb waves are studied by the supercell plane wave expansion method. The transmission responses as well as the displacement fields of Lamb waves are calculated by the finite element method. The influence of geometric parameters on the band gaps, the regulation effect of the volume ratio of Fe particles and the bias magnetic field on the band gaps are analyzed. Based on the numerical results, we find that the volume ratio of Fe particles and the magnetic field affect the band gap effectively. The location and width of the band gaps can be adjusted within a broad frequency range by varying the geometric parameters and magnetic field. We can control the band gap, achieve an appropriate and wide low band gap by selecting proper geometric parameters and applying an external contactless magnetic field to deal with complicated and changeable engineering environment. The results are useful for understanding and optimizing the design of composite vibration isolation plates.



2008 ◽  
Vol 92 (2) ◽  
pp. 023510 ◽  
Author(s):  
Jian Gao ◽  
Xin-Ye Zou ◽  
Jian-Chun Cheng ◽  
Baowen Li


2010 ◽  
Vol 19 (4) ◽  
pp. 044301 ◽  
Author(s):  
Zhu Xue-Feng ◽  
Liu Sheng-Chun ◽  
Xu Tao ◽  
Wang Tie-Hai ◽  
Cheng Jian-Chun


2014 ◽  
Vol 115 (5) ◽  
pp. 054907 ◽  
Author(s):  
Yinggang Li ◽  
Tianning Chen ◽  
Xiaopeng Wang ◽  
Kunpeng Yu ◽  
Weihua Chen


2015 ◽  
Vol 24 (5) ◽  
pp. 054301 ◽  
Author(s):  
Ping-Ping Huang ◽  
Yuan-Wei Yao ◽  
Fu-Gen Wu ◽  
Xin Zhang ◽  
Jing Li ◽  
...  


2013 ◽  
Vol 546 ◽  
pp. 439-442 ◽  
Author(s):  
Min Zhao ◽  
Ya-Zhuo Xie ◽  
Xing-Gan Zhang ◽  
Jian Gao


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