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Abstract A cylindrical shell structure is widely used in structure design but its vibration noise problem commonly exists.Based on the theory of two-dimensional plate phononic crystal and the mechanism of Bragg scattering, this work presents a cylindrical shells phononic crystal model.According to the dynamic equation theory of cylindrical shell and Bloch periodic condition, the vibration characteristic of this structure was studied with an established finite element model.This research took a phononic crystal structure with a radius of 0.1m as an example, calculated its band structure, and analyzed its vibration characteristics.To verify the accuracy of the calculated band gap, the vibration transfer of cylinder shell models with multiple periodic structures was analyzed through the finite element method (FEM).The result shows that the vibration transfer function curve match the band gap well.It indicates that, similar to the plate structure, cylindrical shell phonon crystals also have quite good band gap and total forbidden band gap along the axial line and direction of cylinder ring.
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Received: 28 June 2018
Published: 15 April 2019
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