Wave modulation in a nonlinear acoustic metamaterial

2021 ◽  
pp. 103788
Author(s):  
A.V. Porubov
Keyword(s):  
Acoustic Metamaterial ◽  
Wave Modulation ◽  
Nonlinear Acoustic

scholarly journals A nonlinear acoustic metamaterial: Realization of a backwards-traveling second-harmonic sound wave

2016 ◽  
Vol 139 (6) ◽  
pp. 3373-3385 ◽  
Author(s):  
Li Quan ◽  
Feng Qian ◽  
Xiaozhou Liu ◽  
Xiufen Gong
Keyword(s):  
Sound Wave ◽  
Second Harmonic ◽  
Acoustic Metamaterial ◽  
Nonlinear Acoustic

Experimental determination of pressure-dependent stiffness of a nonlinear acoustic metamaterial

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

Modulational instability and rogue waves in one-dimensional nonlinear acoustic metamaterials: case of diatomic model

2021 ◽  
Author(s):  
Joseph Mora ◽  
Justin Mibaile ◽  
Vroumsia David ◽  
Sylvere Azakine ◽  
Gambo Betchewe
Keyword(s):  
Integrable System ◽  
Taylor Series ◽  
Acoustic Waves ◽  
Perturbation Methods ◽  
Modulational Instability ◽  
Rogue Waves ◽  
Acoustic Metamaterials ◽  
One Dimensional ◽  
Acoustic Metamaterial ◽  
Nonlinear Acoustic

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.

Vibration properties and optimized design of a nonlinear acoustic metamaterial beam

2021 ◽  
Vol 492 ◽  
pp. 115739
Author(s):  
Peng Sheng ◽  
Xin Fang ◽  
Jihong Wen ◽  
Dianlong Yu
Keyword(s):  
Optimized Design ◽  
Acoustic Metamaterial ◽  
Vibration Properties ◽  
Nonlinear Acoustic

Nonlinear acoustic metamaterial for efficient frequency down-conversion

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Geun Ju Jeon ◽  
Joo Hwan Oh
Keyword(s):  
Acoustic Metamaterial ◽  
Nonlinear Acoustic ◽  
Down Conversion

scholarly journals ON THE DISTRIBUTION OF QUASIHARMONIC MODULATED WAVES IN NONLINEAR ACOUSTIC METAMATERIAL, AS A MASS-IN-MASS

2019 ◽  
Vol 11 (7) ◽  
Author(s):  
V.I. Erofeev ◽  
D.A. Kolesov ◽  
V.L. Krupenin
Keyword(s):  
Acoustic Metamaterial ◽  
Nonlinear Acoustic ◽  
Modulated Waves

scholarly journals A programmable nonlinear acoustic metamaterial

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

Nonlinear acoustic fields in acoustic metamaterial based on a cylindrical pipe with periodically arranged side holes

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

scholarly journals Effective Negative Mass Nonlinear Acoustic Metamaterial with Pure Cubic Oscillator

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Ming Gao ◽  
Zhiqiang Wu ◽  
Zhijie Wen
Keyword(s):  
Duffing Oscillator ◽  
Cutoff Frequency ◽  
Excitation Amplitude ◽  
Mass Region ◽  
Negative Mass ◽  
Acoustic Metamaterial ◽  
Cutoff Frequencies ◽  
Vibration Attenuation ◽  
Nonlinear Acoustic ◽  
Nonlinear Metamaterial

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.

scholarly journals Wave propagation in a nonlinear acoustic metamaterial beam considering third harmonic generation

2018 ◽  
Vol 20 (12) ◽  
pp. 123028 ◽  
Author(s):  
Xin Fang ◽  
Jihong Wen ◽  
Dianlong Yu ◽  
Guoliang Huang ◽  
Jianfei Yin
Keyword(s):  
Wave Propagation ◽  
Harmonic Generation ◽  
Third Harmonic Generation ◽  
Third Harmonic ◽  
Acoustic Metamaterial ◽  
Nonlinear Acoustic
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