Formation mechanism of the low-frequency locally resonant band gap in the two-dimensional ternary phononic crystals
Wang Gang (王刚), Liu Yao-Zong (刘耀宗), Wen Ji-Hong (温激鸿), Yu Dian-Long (郁殿龙)
Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China,and the PBG Research Center, National University of Defense Technology,Changsha 410073, China
Abstract The low-frequency band gap and the corresponding vibration modes in two-dimensional ternary locally resonant phononic crystals are restudied successfully with the lumped-mass method. Compared with the work of C. Goffaux and J. Sánchez-Dehesa (Phys. Rev. B 67 14 4301(2003)), it is shown that there exists an error of about 50% in their calculated results of the band structure, and one band is missing in their results. Moreover, the in-plane modes shown in their paper are improper, which results in the wrong conclusion on the mechanism of the ternary locally resonant phononic crystals. Based on the lumped-mass method and better description of the vibration modes according to the band gaps, the locally resonant mechanism in forming the subfrequency gaps is thoroughly analysed. The rule used to judge whether a resonant mode in the phononic crystals can result in a corresponding subfrequency gap is also verified in this ternary case.
Received: 26 August 2005
Revised: 13 September 2005
Accepted manuscript online:
Fund: Project supported by National Natural Science Foundation of China (Grant No 50575222) and the State Key Development Program for Basic Research of China (Grant No 51307).
Cite this article:
Wang Gang (王刚), Liu Yao-Zong (刘耀宗), Wen Ji-Hong (温激鸿), Yu Dian-Long (郁殿龙) Formation mechanism of the low-frequency locally resonant band gap in the two-dimensional ternary phononic crystals 2006 Chinese Physics 15 407
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
