Accurate evaluation of lowest band gaps in ternary locally resonant phononic crystals

作者：Wang Gang^*; Shao Li Hui; Liu Yao Zong; Wen Ji Hong

来源：Chinese Physics, 2006, 15(8): 1843-1848.

DOI：10.1088/1009-1963/15/8/036

• phononic crystals
• locally resonant
• analog model

Based on a better understanding of the lattice vibration modes, two simple spring-mass models are constructed in order to evaluate the frequencies on both the lower and upper edges of the lowest locally resonant band gaps of the ternary locally resonant phononic crystals. The parameters of the models are given in a reasonable way based on the physical insight into the band gap mechanism. Both the lumped-mass methods and our models are used in the study of the influences of structural and the material parameters on frequencies on both edges of the lowest gaps in the ternary locally resonant phononic crystals. The analytical evaluations with our models and the theoretical predictions with the lumped-mass method are in good agreement with each other. The newly proposed heuristic models are helpful for a better understanding of the locally resonant band gap mechanism, as well as more accurate evaluation of the band edge frequencies.

• 出版日期2006-8
• 单位中国人民解放军国防科学技术大学