Linking Time-Domain Vibration Behaviors to Spatial-Domain Propagating Waves in a Leaf-like Gradient-Index Phononic Crystal Lens

Crystals

Jun-Jie Liu¹  Chan-Yi Liao²  Kuo-Chih Chuang³  Dan-Feng Wang³ 

[1] Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China;Department of Mechanical Engineering, National Central University, Taoyuan 320317, Taiwan;Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Institute of Applied Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China;

关键词: phononic crystals;    lamb waves;    gradient-index lens;    vibration;   

DOI  :  10.3390/cryst11121490

来源: DOAJ

【 摘 要 】

It is known that a propagating wave at a certain spatial point can be decomposed into plane waves propagating at different angles. In this work, by designing a gradient index phononic crystal lens (GRIN PCL) with transverse-continuous leaf-like unit cells, we theoretically and experimentally show that the spatial-domain propagating waves in finite periodic structures can be linked to their time-domain vibration behaviors. The full-field instantaneous focusing behaviors of Lamb waves in the proposed leaf-like GRIN PCL give an example of the wave-vibration linkage in finite periodic structures while allowing a certain complexity. The conclusion in this paper can help one skip iterative time-consuming finite element analysis (e.g., time-stepping solutions) to avoid possible numerical instabilities occurred in calculating transient wave field on practical finite metamaterials or phononic crystals having unit cells with complicated configurations.

【 授权许可】

Unknown