Phononic crystal based on gradient sound black hole structure band gap regulation

Abstract

The invention discloses a photonic crystal based on gradient sound black hole structure band gap regulation and control. The photonic crystal comprises a first cellular unit to an Nth cellular unit which are arranged along the central axis direction of the photonic crystal, any k-th cellular unit comprises a k-th uniform cross-section beam section and a k-th variable cross-section beam section, the area of the end face, facing the k-th uniform cross-section beam section, of the k-th variable cross-section beam section is equal to the area of the cross section of the k-th uniform cross-section beam section, and in the direction from the side, facing the k-th uniform cross-section beam section, of the k-th variable cross-section beam section to the side, back to the k-th uniform cross-section beam section, of the k-th variable cross-section beam section, the area of the cross section of the kth variable cross-section beam section is decreased progressively; the k1th variable cross-section beam section in the k1th cell unit is connected with the k2th uniform cross-section beam section in the k2th cell unit, and the end face area of the side, facing the k2th uniform cross-section beam section, of the k1th variable cross-section beam section is smaller than the cross-section area of the k2th uniform cross-section beam section. The photonic crystal based on gradient sound black hole structure band gap regulation and control can realize low-frequency broadband vibration reduction.

Description

technical field [0001] The invention relates to the technical field of phononic crystals, in particular to a phononic crystal based on band gap regulation of a gradient acoustic black hole structure. Background technique [0002] With the emergence of acoustic metamaterials represented by phononic crystals (PCs), periodic structures have also received extensive attention in the fields of vibration isolation, noise control, and vibration control. The study found that when elastic waves propagate in periodic composite materials and structures, due to the interaction of shear wave and longitudinal wave transformation and interference cancellation of elastic waves in the interior and boundary of periodic structures, they finally show a unique dispersion relationship when passing through crystals. is called the energy band structure, and the frequency range within the forbidden band region in the corresponding energy band structure is called the band gap. When a vibration propag...

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Problems solved by technology

[0004] In view of this, the present invention provides a phononic crystal based on the bandgap regulation of the gradient acoustic black hole structure, which utilizes the broadband characteristics of the gradient acoustic black hole structure and the effect of the acoustic black hole to solve the problem that the phononic crystal cannot achieve low-frequency broadband reduction in the prior art. vibration problem

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