The role of material and geometric nonlinearities and damping effects in designing mechanically tunable acoustic metamaterials

doi:10.1016/j.ijmecsci.2021.106299

	The role of material and geometric nonlinearities and damping effects in designing mechanically tunable acoustic metamaterials
	Ning, Shaowu 3; Chu, Dongyang 3; Jiang H(姜恒)1,2; Yang, Fengyuan 3; Liu, Zhanli 3; Zhuang, Zhuo 3
刊名	INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
	2021-05-01
卷号	197 页码:16
关键词	Mechanically tunable acoustic metamaterials Locally resonant Bragg scattering Band gaps Material and geometrical nonlinearities Damping effect
ISSN号	0020-7403
DOI	10.1016/j.ijmecsci.2021.106299
通讯作者	Jiang, Heng(hengjiang@imech.ac.cn) ; Liu, Zhanli(liuzhanli@tsinghua.edu.cn)
英文摘要	Elastomeric material (as rubber) can be used to design the mechanically tunable acoustic metamaterial (AM) with reversible and repeatable deformation utilizing its geometric and material nonlinearities introduced by the large deformation. Meanwhile, an elastomeric material usually possesses the inherent damping effect, which will complicate the dynamic responses of AMs. In this paper, taking the AMs comprising different resonating elements (include soft elastomeric coating and hard core) embedded into an elastomeric matrix with a square array of circular holes of varying size as examples, we try to reveal the roles of material and geometric nonlinearities and damping effects (Rayleigh damping and linear viscoelastic damping) in the process of elastic wave manipulation by calculating the band structures and the transmittances of the finite-sized AM structures with and without damping. The numerical results indicate that the geometrical nonlinearity of the AM (mainly from matrix and coating) and the nonlinearity of coating material can simultaneously manipulate the locally resonant and Bragg scattering band gaps. Still, the nonlinearity of the matrix material mainly affects the Bragg scattering band gaps. The analysis of geometrical parameters indicates that the AM with holes of large size, thin coating, and a hard core of large radius benefits enhance its bandgap?s tunability. The transmittances of the finite-sized AMs without damping drastically reduce in the frequency ranges of band gaps, which agree well with the numerical predictions of band gaps. The damping effect in the elastomeric matrix and coating materials can lead to the appearance of a new band region and the changes in the position and width of the band region. However, excessive damping in the coating and matrix materials suppresses the elastic wave propagation in the AM structures so that it is difficult to identify the band regions from the transmittance spectrums. The above researches demonstrate the roles of these influencing factors above in the process of elastic wave manipulation. They can help us design new AMs to meet the unique needs of noise and vibration control.
分类号	一类
资助项目	Science Challenge Project[TZ2018002] ; Science Challenge Project[TZ2018001] ; National Natural Science Foundation of China[11972205] ; National Natural Science Foundation of China[11722218] ; National Natural Science Foundation of China[11921002] ; National Key Research Development Program of China[2017YFB0702003] ; Opening Project of Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province
WOS研究方向	Engineering ; Mechanics
语种	英语
WOS记录号	WOS:000640902900005
资助机构	Science Challenge Project ; National Natural Science Foundation of China ; National Key Research Development Program of China ; Opening Project of Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province
其他责任者	Jiang, Heng ; Liu, Zhanli
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/86521]
专题	力学研究所_国家微重力实验室
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Beijing 100190, Peoples R China; 3.Tsinghua Univ, Sch Aerosp Engn, Appl Mech Lab, Beijing 100084, Peoples R China;
推荐引用方式 GB/T 7714	Ning, Shaowu,Chu, Dongyang,Jiang H,et al. The role of material and geometric nonlinearities and damping effects in designing mechanically tunable acoustic metamaterials[J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES,2021,197:16.
APA	Ning, Shaowu,Chu, Dongyang,姜恒,Yang, Fengyuan,Liu, Zhanli,&Zhuang, Zhuo.(2021).The role of material and geometric nonlinearities and damping effects in designing mechanically tunable acoustic metamaterials.INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES,197,16.
MLA	Ning, Shaowu,et al."The role of material and geometric nonlinearities and damping effects in designing mechanically tunable acoustic metamaterials".INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES 197(2021):16.