Tunable topological interface states via a parametric system in composite lattices with/without symmetric elements
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 symme...
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| Veröffentlicht in: | Applied mathematics and mechanics 2024, Vol.45 (12), p.2055-2074 |
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| container_issue | 12 |
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| container_title | Applied mathematics and mechanics |
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| creator | Cui, Jianguo Yang, Tianzhi Han, Wenju Li, Liang Niu, Muqing Chen, Liqun |
| description | 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. |
| doi_str_mv | 10.1007/s10483-024-3194-9 |
| format | Article |
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| source | SpringerNature Journals; Alma/SFX Local Collection |
| subjects | Applications of Mathematics Classical Mechanics Eigenvectors Elastic waves Energy harvesting Fluid- and Aerodynamics Lattices Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Partial Differential Equations Topology |
| title | Tunable topological interface states via a parametric system in composite lattices with/without symmetric elements |
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