Elastic wave propagation in weakly nonlinear media and metamaterials: a review of recent developments

被引：0
作者：
Matthew D. Fronk
Lezheng Fang
Pawel Packo
Michael J. Leamy
机构：
[1] United States Naval Academy,Physics Department
[2] Georgia Institute of Technology,George W. Woodruff School of Mechanical Engineering
[3] AGH - University of Science and Technology,Department of Robotics and Mechatronics
[4] Georgia Institute of Technology,George W. Woodruff School of Mechanical Engineering
来源：
Nonlinear Dynamics | 2023年 / 111卷
关键词：
First keyword; Second keyword; More;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we review recent progress on the analysis, experimental exploration, and application of elastic wave propagation in weakly nonlinear media and metamaterials. We provide a detailed technical discussion overviewing two broad areas of active research: (1) discrete nonlinear periodic systems and metamaterials, and (2) continuous nonlinear systems with a focus on nonlinear guided waves. The specific intent is to introduce the reader to asymptotic analysis methods currently being employed in the field of study, to highlight their results to date, and to motivate follow-on studies. Where appropriate, we include details on experimental explorations and envisioned applications, both of which have received relatively sparse attention to date.
引用
收藏
页码：10709 / 10741
页数：32
相关论文
共 315 条
  • [1] Kaajakari V(2004)Nonlinear limits for single-crystal silicon microresonators J. Microelectromech. Syst. 13 715-127
  • [2] Mattila T(2009)Nonlinear effects in the time measurement device based on surface acoustic wave filter excitation Rev. Sci. Instrum. 80 07HD14-undefined
  • [3] Oja A(2015)Considerations on nonlinearity measurement with high signal-to-noise ratio for RF surface and bulk acoustic wave devices Jpn. J. Appl. Phys. 54 3202-undefined
  • [4] Seppa H(2011)Enhancing the linear range of MEMS resonators for sensing applications IEEE Sens. J. 11 100842-undefined
  • [5] Prochazka I(2019)3D printed architected hollow sphere foams with low-frequency phononic band gaps Addit. Manuf. 30 106557-undefined
  • [6] Panek P(2020)Uncertainties in the attenuation performance of a multi-frequency metastructure from additive manufacturing Mech. Syst. Signal Process. 138 104016-undefined
  • [7] Kodaira R(2020)A metaplate for complete 3D vibration isolation Eur. J. Mech. A Solids 84 1-undefined
  • [8] Omori T(2020)Experimental proof of emergent subharmonic attenuation zones in a nonlinear locally resonant metamaterial Sci. Rep. 10 1-undefined
  • [9] Hashimoto KY(2018)Metamaterials with amplitude gaps for elastic solitons Nature Commun. 9 012213-undefined
  • [10] Kyoya H(2021)Nonlinear harmonic generation in two-dimensional lattices of repulsive magnets Phys. Rev. E 103 20180173-undefined
12345678910