Applied Mathematics and Mechanics >
Tunable topological interface states via a parametric system in composite lattices with/without symmetric elements
Received date: 2024-07-30
Online published: 2024-11-30
Supported by
the National Natural Science Foundation of China(62188101);the National Natural Science Foundation of China(11902097);Project supported by the National Natural Science Foundation of China (Nos. 62188101 and 11902097)
Copyright
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.
Jianguo CUI, Tianzhi YANG, Wenju HAN, Liang LI, Muqing NIU, Liqun CHEN . Tunable topological interface states via a parametric system in composite lattices with/without symmetric elements[J]. Applied Mathematics and Mechanics, 2024 , 45(12) : 2055 -2074 . DOI: 10.1007/s10483-024-3194-9
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