Toward acceleration sensing based on topological gyroscopic metamaterials

In this paper, the equation of motion of graphenelike topological gyroscopic metamaterials under acceleration is derived, and the influence of the external acceleration on the band structure is investigated. The calculated results of band structure under acceleration of $1g$ are in good agreement with the experimental results reported in the literature and the numerical simulations show that the edge states are highly confined to the boundary, which is significantly different from the bulk states. Hence, an acceleration sensing method based on topological gyroscopic metamaterials is proposed by detecting the acceleration-induced bandwidth variation of the edge bands. Moreover, it is found that the proposed sensing approach shows extremely high sensitivity in a small acceleration range compared to the traditional capacitive accelerometers. And arising from its topological properties, the robustness of the proposed sensing method against local defects is numerically verified. Finally, some possible electronic methods are proposed to read the output signal of the sensing system.