Elastic wave insulation and propagation control based on the programmable curved-beam periodic structure  

作　　者：Jiajia MAO Hong CHENG Tianxue MA 

机构地区：[1]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures,Department of Mechanics,School of Mathematics,Statistics and Mechanics,Beijing University of Technology,Beijing 100124,China [2]Department of Mechanics,School of Physical Science and Engineering,Beijing Jiaotong University,Beijing 100044,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第10期1791-1806,共16页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.12172012 and 11802005)。

摘　　要：Curved-beams can be used to design modular multistable metamaterials(MMMs)with reprogrammable material properties,i.e.,programmable curved-beam periodic structure(PCBPS),which is promising for controlling the elastic wave propagation.The PCBPS is theoretically equivalent to a spring-oscillator system to investigate the mechanism of bandgap,analyze the wave propagation mechanisms,and further form its geometrical and physical criteria for tuning the elastic wave propagation.With the equivalent model,we calculate the analytical solutions of the dispersion relations to demonstrate its adjustability,and investigate the wave propagation characteristics through the PCBPS.To validate the equivalent system,the finite element method(FEM)is employed.It is revealed that the bandgaps of the PCBPS can be turned on-and-off and shifted by varying its physical and geometrical characteristics.The findings are highly promising for advancing the practical application of periodic structures in wave insulation and propagation control.

关 键 词：curved-beam based periodic structure equivalent stiffness spring-oscillator system dispersion relation wave propagation 

分 类 号：O326[理学—一般力学与力学基础]