Theory for Rotation-Induced Band Splitting in Hollow-Pillar Phononic Metamaterials

Abstract:

Hollow-pillar phononic metamaterials (PM) operating at the whispering gallery modes can be modulated by external rotation, and they exhibit the band splitting linearly related to the angular rate. This phenomenon holds great potential for applications in angular velocity measurement and dynamically adaptive noise reduction. In this paper, we establish an equivalent model for the interaction between elastic waves and such periodic PM. By combining dynamic coupling equations with the transfer matrix method, we theoretically reveal the existence of rotation-induced band splitting and explain its causes. Further validation of the band splitting theory is achieved through comparison with finite element simulation results. This study serves as a theoretical supplement to these rotation-modulated PM, elucidating the mechanism of how external rotation affects band splitting at a theoretical level and inspiring the development of more similar dynamically adaptive materials.

• Periodical: Materials Science Forum (Volume 1153)
• Pages: 45-55
• DOI: https://doi.org/10.4028/p-y9vmqV
• Online since: June 2025
• Authors: Fei Ge, Li Ye Zhao*
• Keywords: Band Splitting, Phononic Metamaterials, Transfer Matrix Method, Whispering Gallery Modes

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