Tunable topological interface states via a parametric system in composite lattices with/without symmetric elements  

作　　者：Jianguo CUI Tianzhi YANG Wenju HAN Liang LI Muqing NIU Liqun CHEN 

机构地区：[1]School of Mechanics and Photoelectric Physics,Anhui University of Science and Technology,Huainan 232001,Anhui Province,China [2]School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110819,China [3]School of Aerospace Engineering,North University of China,Taiyuan 030051,China [4]School of Science,Harbin Institute of Technology,Shenzhen,Shenzhen 518055,Guangdong Province,China [5]Shanghai Key Laboratory of Mechanics in Energy Engineering,Shanghai Institute of Applied Mathematics and Mechanics,School of Mechanics and Engineering Science,Shanghai University,Shanghai 200444,China [6]Shanghai Institute of Aircraft Mechanics and Control,Shanghai 200092,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第12期2055-2074,共20页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 62188101 and 11902097)。

摘　　要：Over the past decades, topological interface states have attracted significant attention in classical wave systems. Generally, research on the topological interface states of elastic waves is conducted in the lattices with symmetric elements. This paper proposes composite lattices with/without symmetric elements, and demonstrates the realization of tunable topological interface states of elastic waves via parametric systems.To quantize the topological characteristics of the bands, a modified Zak phase is defined to calculate the topological invariant by the eigenstates for the lattices with/without symmetric elements. The numerical results show that the tunable frequencies of topological interface states can be realized in composite lattices with/without symmetric elements through the modulation of the parametric excitation frequency. The tunable topological interface states can be introduced into the vibration energy harvesting to design efficient and steady energy harvesting systems.

关 键 词：METAMATERIAL topological interface state parametric excitation asymmetric element modified Zak phase 

分 类 号：O323[理学—一般力学与力学基础]