Generating elastic band gaps in square lattice grid by periodical cut-off operations

2017 3rd International Conference on Applied Materials and Manufacturing Technology

Han, Lin^1 ; Li, Xiao-Mei^2 ; Zhang, Yan^1

College of Mechanics and Materials, Hohai University, Nanjing

211100, China^1

Department of Geotechnical Engineering, Nanjing Hydraulic Research Institute, Nanjing

210024, China^2

关键词: Cutting-off;    Elastic bandgaps;    Frequency dispersion;    Low frequency range;    Motion modes;    Square lattices;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/242/1/012045/pdf
DOI  :  10.1088/1757-899X/242/1/012045

来源: IOP

【 摘 要 】

From periodically cutting off rods in square lattice grids, we give an easy and feasible way to generate elastic band gaps (BGs) in it. We define the model of the periodical cut-off (PCO) square lattice grid, and study the frequency dispersion relation and the motion modes of rods, as well as the frequency responses. On this basis, we confirm that the PCO operation is feasible to generate BGs in square lattice grids. Furthermore, the BGs generated in PCO square lattice grids are basically locally resonant BGs with low frequency ranges which attributes to the motions of exposed cantilevers.