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Bandgap Design Method for Triangular Lattice Phononic Crystal Based on Wavelet Boundary Element Model

A triangular lattice, phononic crystal technology, applied in design optimization/simulation, optical components, complex mathematical operations, etc., to achieve the effect of good calculation efficiency and accuracy, high calculation accuracy

Active Publication Date: 2022-06-21
WENZHOU UNIVERSITY
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Problems solved by technology

[0005] However, how to construct the wavelet boundary element model for the bandgap design of triangular lattice phononic crystals, and then realize the calculation of the bandgap characteristics of phononic crystals, has not yet been involved.

Method used

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  • Bandgap Design Method for Triangular Lattice Phononic Crystal Based on Wavelet Boundary Element Model
  • Bandgap Design Method for Triangular Lattice Phononic Crystal Based on Wavelet Boundary Element Model
  • Bandgap Design Method for Triangular Lattice Phononic Crystal Based on Wavelet Boundary Element Model

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Embodiment

[0144] Example: This example mainly verifies the superiority of the wavelet boundary element numerical solution model for calculating the band gap of triangular lattice phononic crystals. Embedding a square gold (Au) scatterer into an epoxy matrix, where ρ = 19500 kg / m for gold material 2 , c t =1239m / s, for epoxy resin material, ρ=1180kg / m 2 , c t =1160m / s. For other calculation parameters, filling ratio f=0.3493, δ=5×10 -2 , the minimum normalized frequency τ 0 =5×10 -3 , the maximum normalized frequency τ max =1.4, calculation step Δτ=5×10 -3 . In addition, the 2-point integral formula is used in the calculation process. For the convenience of expression, the number of units is the number of discrete units of the matrix unless it is clearly stated.

[0145] 1 BSWI respectively 23 Elements and 8 conventional linear elements discretize each boundary of the matrix and scatterer. image 3 The solution results of the two discrete methods are given, where (c t ) 0 In...

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Abstract

The invention discloses a bandgap design method of triangular lattice phononic crystal based on the wavelet boundary element model, which adopts the combination of wavelet analysis and boundary element method, that is, replaces the polynomial interpolation of the traditional boundary element with interval B-spline wavelet scale function to approximate the boundary variable and boundary shape. Since the phononic crystal is a periodic structure, the boundary integral equations of the matrix and the scatterer are established in a unit cell, and then, combined with the Bloch theory and the continuity conditions between the matrix and the scatterer, a triangular lattice phononic crystal is constructed The wavelet boundary element model of the band gap design, and then calculate the band gap characteristics of the phononic crystal. The wavelet boundary element model has absorbed the advantages of wavelet multi-resolution analysis and boundary element method dimensionality reduction. The provided calculation example shows that this numerical calculation model has good flexibility, high efficiency, small calculation scale and high precision, and is suitable for triangular crystals. Lattice phononic crystal bandgap design.

Description

technical field [0001] The invention belongs to the field of acoustic functional material structure design, in particular to a band gap design method of a triangular lattice phononic crystal based on a wavelet boundary element model. Background technique [0002] Phononic crystals are artificial composites composed of periodically distributed matrix and scatterers. The most prominent feature of phononic crystal is its band gap property, that is, it is forbidden to propagate acoustic or elastic waves in a certain frequency range. This characteristic can be widely used in engineering fields, such as: acoustic waveguides, noise reduction, acoustic filters and transducers. In recent years, many researchers have devoted themselves to the research of phononic crystal band gap design, aiming to design a phononic crystal structure with good band gap characteristics. [0003] Accurate calculation of the band gap properties of phononic crystals is the basis of band gap design. Many...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G02B27/00G06F17/16G06F30/20
CPCG06F30/20G06F17/16G02B27/0012
Inventor 向家伟魏琦
Owner WENZHOU UNIVERSITY
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