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Shock and Vibration
Volume 2014, Article ID 189539, 9 pages
Review Article

Phononic First Band Gap of Quaternary Layered Periodic Structure with the Lumped-Mass Method

1Hubei Automotive Structural Engineering Center of Noise & Vibration, Hubei University of Technology, Wuhan 430068, China
2The Institute of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Received 20 January 2013; Accepted 5 February 2014; Published 27 February 2014

Academic Editor: Nuno Maia

Copyright © 2014 Chen Yuan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [7 citations]

The following is the list of published articles that have cited the current article.

  • Li Jing, Jiu Hui Wu, Dong Guan, and Nansha Gao, “Multilayer-split-tube resonators with low-frequency band gaps in phononic crystals,” Journal of Applied Physics, vol. 116, no. 10, pp. 103514, 2014. View at Publisher · View at Google Scholar
  • Mao Liu, Pei Li, Yongteng Zhong, and Jiawei Xiang, “Research on the Band Gap Characteristics of Two-Dimensional Phononic Crystals Microcavity with Local Resonant Structure,” Shock and Vibration, vol. 2015, pp. 1–8, 2015. View at Publisher · View at Google Scholar
  • H. Policarpo, M. M. Neves, and N. M. M Maia, “Experimental Evaluation of the Force Transmissibility of Phononic-Inspired Vibration Isolators,” Sensors and Instrumentation, Volume 5, pp. 131–136, 2016. View at Publisher · View at Google Scholar
  • Hong Yao, Jiulong Jiang, Jun Du, and Jinbo Zhao, “Multi-cavity locally resonant structure with the low frequency and broad band-gaps,” AIP Advances, vol. 6, no. 11, 2016. View at Publisher · View at Google Scholar
  • Guoyong Jin, Chunyu Zhang, Tiangui Ye, and Jialiang Zhou, “Band gap property analysis of periodic plate structures under general boundary conditions using spectral-dynamic stiffness method,” Applied Acoustics, vol. 121, pp. 1–13, 2017. View at Publisher · View at Google Scholar
  • Jiu-Long Jiang, Hong Yao, Jun Du, Jing-Bo Zhao, and Tao Deng, “Low frequency band gap characteristics of double-split Helmholtz locally resonant periodic structures,” Wuli Xuebao/Acta Physica Sinica, vol. 66, no. 6, 2017. View at Publisher · View at Google Scholar
  • Rizzoni, and Lebon, “Higher order interfacial effects for elastic waves in one dimensional phononic crystals via the Lagrange-Hamilton's principle,” European Journal of Mechanics, A/Solids, vol. 67, pp. 58–70, 2018. View at Publisher · View at Google Scholar