Experimental evaluation and model of a nonlinear absorber for vibration attenuation

被引:16
作者
Lavazec, D. [1 ,2 ]
Cumunel, G. [1 ]
Duhamel, D. [1 ]
Soize, C. [2 ]
机构
[1] Univ Paris Est, Lab Navier, ENPC, IFSTTAR,CNRS, 6 & 8 Ave Blaise Pascal, F-77455 Marne La Vallee 2, France
[2] Univ Paris Est, Lab Modelisat & Simulat Multi Echelle, MSME, CNRS,UMR 8208, 5 Bd Descartes, F-77455 Marne La Vallee, France
来源
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 69卷
关键词
Nonlinear absorption; Vibrations control; Noise control; Homogenization; Metamaterials; MECHANICAL OSCILLATORS; PART II; PERFORMANCE; DYNAMICS; DENSITY; SYSTEMS;
D O I
10.1016/j.cnsns.2018.10.009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Because of their large wavelength, the noise and the vibrations at low frequencies cannot easily be reduced in the structures by using dissipative materials contrarily to the waves at middle and high frequencies. A possible technique for obtaining an attenuation is to randomly distribute absorbers in a matrix to attenuate acoustic waves and vibrations in such a low-frequency band. If linear absorbers are used, then it is difficult to obtain an attenuation on a broad low-frequency band with a reasonable number of absorbers. On the other hand, it is known that nonlinear absorbers allow the absorption bandwidth to be increased. However, such technique requires to properly design such a nonlinear absorber and to perform its experimental validation. The objective of the paper is to present the design of such an absorber with nonlinear geometrical effects and its experimental evaluation. It is experimentally proved that this nonlinearity type induces an attenuation on a broad frequency band around its first resonance. The novelty of this work is to present the design of an inclusion that has the potentiality to be reproduced at any scale, in particular for microstructured materials. For such an inclusion, we present its mechanical model for the simulation, its design, its manufacturing that is realized with a 3D-printing system, the experiments, and the experimental identification of the model. The results show that a significant attenuation is effectively obtained over a broad low-frequency band, as intended. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:386 / 397
页数:12
相关论文
共 48 条
[1]   Exploring the performance of a nonlinear tuned mass damper [J].
Alexander, Nicholas A. ;
Schilder, Frank .
JOURNAL OF SOUND AND VIBRATION, 2009, 319 (1-2) :445-462
[2]  
[Anonymous], SIMULATION MONTE CAR
[3]   Long wavelength inner-resonance cut-off frequencies in elastic composite materials [J].
Auriault, J. -L. ;
Boutin, C. .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2012, 49 (23-24) :3269-3281
[4]   Analysis of multi-degree of freedom strongly non-linear mechanical systems with random input Part II: Equivalent linear system with random matrices and power spectral density matrix [J].
Bellizzi, S ;
Bouc, R .
PROBABILISTIC ENGINEERING MECHANICS, 1999, 14 (03) :245-256
[5]   THE POWER SPECTRAL DENSITY OF RESPONSE FOR A STRONGLY NONLINEAR RANDOM OSCILLATOR [J].
BOUC, R .
JOURNAL OF SOUND AND VIBRATION, 1994, 175 (03) :317-331
[6]   Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic [J].
Carrella, A. ;
Brennan, M. J. ;
Waters, T. P. .
JOURNAL OF SOUND AND VIBRATION, 2007, 301 (3-5) :678-689
[7]   Acoustic cloaking in three dimensions using acoustic metamaterials [J].
Chen, Huanyang ;
Chan, C. T. .
APPLIED PHYSICS LETTERS, 2007, 91 (18)
[8]   FOUNDATIONS OF LINEAR VISCOELASTICITY [J].
COLEMAN, BD ;
NOLL, W .
REVIEWS OF MODERN PHYSICS, 1961, 33 (02) :239-249
[9]   Vibration of a two-mass system with non-integer order nonlinear connection [J].
Cveticanin, L. ;
KalamiYazdi, M. ;
Askari, H. ;
Saadatnia, Z. .
MECHANICS RESEARCH COMMUNICATIONS, 2012, 43 :22-28
[10]   Dynamic problems for metamaterials: Review of existing models and ideas for further research [J].
Del Vescovo, Dionisio ;
Giorgio, Ivan .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2014, 80 :153-172