Wave modulation in a nonlinear acoustic metamaterial

Author(s):  
A.V. Porubov

2016 ◽  
Vol 139 (6) ◽  
pp. 3373-3385 ◽  
Author(s):  
Li Quan ◽  
Feng Qian ◽  
Xiaozhou Liu ◽  
Xiufen Gong


2016 ◽  
Vol 139 (4) ◽  
pp. 2183-2183
Author(s):  
Stephanie G. Konarski ◽  
Michael R. Haberman ◽  
Preston S. Wilson ◽  
Katia Bertoldi ◽  
Sahab Babaee ◽  
...  


2021 ◽  
Author(s):  
Joseph Mora ◽  
Justin Mibaile ◽  
Vroumsia David ◽  
Sylvere Azakine ◽  
Gambo Betchewe

Abstract In this paper, by means of the expanded Taylor series and Lindstedt-Poincar ́e perturbation methods, the coupled nonlinear Schrödinger equations (CNLSE) modeling the propagation of acoustic waves in acoustic metamaterial is obtained. Using these equations, the Modulational Instability (MI) phenomenon is observed in disturbance mode. Manakov integrable system is derived with suitable parameters and we shown that the Rogue Waves (RWs) can propagate diatomic acoustic metamaterials.



2021 ◽  
Vol 492 ◽  
pp. 115739
Author(s):  
Peng Sheng ◽  
Xin Fang ◽  
Jihong Wen ◽  
Dianlong Yu


2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Geun Ju Jeon ◽  
Joo Hwan Oh


2019 ◽  
Vol 11 (7) ◽  
Author(s):  
V.I. Erofeev ◽  
D.A. Kolesov ◽  
V.L. Krupenin


AIP Advances ◽  
2017 ◽  
Vol 7 (9) ◽  
pp. 095323 ◽  
Author(s):  
Tianzhi Yang ◽  
Zhi-Guang Song ◽  
Eoin Clerkin ◽  
Ye-Wei Zhang ◽  
Jia-He Sun ◽  
...  


2013 ◽  
Vol 133 (6) ◽  
pp. 3846-3852 ◽  
Author(s):  
Li Fan ◽  
Huan Ge ◽  
Shu-yi Zhang ◽  
Hai-fei Gao ◽  
Yong-hui Liu ◽  
...  


2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Ming Gao ◽  
Zhiqiang Wu ◽  
Zhijie Wen

Acoustic metamaterial, which can prohibit effectively the elastic wave propagation in the bandgap frequency range, has broad application prospects in the vibration and noise reduction areas. The Lindstedt–Poincaré method was utilized to analyze the dispersion curves of nonlinear metamaterial with a pure Duffing oscillator. The first-order perturbation solutions of acoustic and optical branches were obtained. Both the starting and cutoff frequencies of the bandgap are determined consequently. It was found that the soft/hard characteristics of pure Duffing oscillators could lead to the lower/upper movement of the starting and cutoff frequencies of the bandgap. By further researching the degraded linear system, the conclusion that actual nonlinear metamaterial bandgap region is wider than effective negative mass region is drawn and that both mass and stiffness ratio effect on the starting frequency is obtained. Effective positive mass can also lead to the vibration attenuation in bandgap. For nonlinear metamaterial, the translation effect of the external excitation amplitude on the bandgap range and the zero mass at the nonlinear bandgap cutoff frequency were discussed, and all above conclusion are identified by numerical analysis.



2018 ◽  
Vol 20 (12) ◽  
pp. 123028 ◽  
Author(s):  
Xin Fang ◽  
Jihong Wen ◽  
Dianlong Yu ◽  
Guoliang Huang ◽  
Jianfei Yin


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