基于悬臂谐振器的声子晶体双频拓扑波导研究
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国家自然科学基金资助项目(12172119)


Research on Dual-Band Topological Waveguides in Phononic Crystals Based on Cantilever Resonators
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    摘要:

    近年来,拓扑声子晶体的研究受到了广泛的关注.然而,由于结构尺寸和质量等因素的限制,低频范围内的拓扑波导的实现较为困难,而多频拓扑波导的研究更具挑战.本文基于谷霍尔原理提出了一种内嵌悬臂梁谐振器的新型声子晶体,通过打破空间反演对称解除狄拉克点的简并,实现了带隙的打开和双频拓扑波导.结果表明,随着悬臂梁长度差异的增大,两个带隙的宽度可分别增至28 Hz和72 Hz.在此基础上,通过设计具有不同单胞的超胞结构和排列方式,可获得多种波导路径,如直角型和“+”型等.此外,弹性波也可在弯折后结构中沿不同单胞的边界传播.当弯折角度从20°增至40°时,波局域范围逐渐减小.本文的研究成果可为低频波导器件的设计提供了新途径.

    Abstract:

    In recent years, the study of topological phononic crystals have received considerable attention. However, due to constraints related to the structural dimensions, mass, and other factors, the realization of topological waveguides in the low-frequency range is difficult, and the research on multi-frequency topological waveguides is even more challenging. This paper proposes a novel phononic crystal with embedded cantilever-beam resonators based on the valley-Hall effect. By breaking spatial inversion symmetry, the degeneracy at the Dirac point is lifted, leading to the opening of bandgaps and the formation of dual-band topological waveguides. The results show that as the difference in cantilever length increases, the low-frequency bandgap width and the high-frequency bandgap width increase to 28Hz and 72Hz respectively. Furthermore, by designing supercell structures with different unit cells and arranging them in specific configurations, different waveguide paths can be obtained, such as right-angle and “+”-shaped types. In bent structures, elastic waves can propagate along the boundaries between different unit cells. As the bending angle increases from 20° to 40°, the wave localization range gradually decreases. These results provide a new approach to the design of low-frequency waveguide devices.

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黄许飞,茅晓晨.基于悬臂谐振器的声子晶体双频拓扑波导研究[J].动力学与控制学报,2026,24(3):28~34; Huang Xufei, Mao Xiaochen. Research on Dual-Band Topological Waveguides in Phononic Crystals Based on Cantilever Resonators[J]. Journal of Dynamics and Control,2026,24(3):28-34.

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  • 收稿日期:2025-11-11
  • 最后修改日期:2025-12-10
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  • 在线发布日期: 2026-03-30
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