One-dimensional photonic crystal beam structure band gap designing method based on wavelet finite element model

Abstract

The invention provides a one-dimensional photonic crystal beam structure band gap designing method based on a wavelet finite element model. The wavelet finite element model uses the section B sample wavelet to be combined with a finite element method, a BSWI scaling function is used for replacing the polynomial interpolation of the traditional finite element, and the unit cell technology and periodic boundary condition PBCs are combined to build a real symmetrical feature value problem about the one-dimensional photonic crystal dispersing structure, so the band gap feature of the photonic crystal is obtained by calculating. The wavelet finite element model of the one-dimensional photonic crystal beam structure band gap calculation is capable of absorbing the advantages of the wavelet multi-scale approach feature and the complex solution domain of the finite element method, and obtaining a numerical calculation model with high precision and rapid convergence. The provided wavelet finite element model of the one-dimensional photonic crystal beam structure band gap design has the advantages of high precision and rapid convergence, and is suitable for the one-dimensional photonic crystal beam structure band gap design.

Description

technical field [0001] The invention belongs to the field of structural design of acoustic functional materials, and in particular relates to a method for designing a band gap of a one-dimensional phonon crystal beam structure based on a wavelet finite element model. Background technique [0002] As a new type of acoustic functional material with elastic wave band gap, phononic crystal is different from the traditional crystal concept. And the periodic changes of the materials it has show different research contents from traditional periodic structures, thus enriching the research of periodic structures. Looking at the research status of phononic crystals, the research on the bandgap design of phononic crystal structures has yet to be studied. The main reason is that the design of phononic crystal structures involves large-scale numerical calculations, and there is a lack of efficient calculation models. [0003] In the bandgap design of phononic crystal beam structures, th...

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Problems solved by technology

However, this method has certain limitations. It mainly solves the problem of phononic crystals composed of two-dimensional cylinders and three-dimensional spherical scatterers, and cannot perform bandgap calculations on one-dimensional phononic crystals.

[0004] Although some of the above algorithms have been widely used, they all have their advantages and disadvantages. They cannot accurately calculate all phononic crystals, and they also face problems such as poor convergence, insufficient stability, and long calculation time requirements. Crystal beam structure bandgap design and application in engineering practice

[0005] The wavelet finite element method is a newly developed numerical analysis method. Using the multi-resolution characteristics of wavelet, a variety of basis functions for structural analysis can be obtained. According to the accuracy requirements of solving problems, different basis functions are used. However, how to Realize the calculation of the band gap characteristics of the phononic crystal beam structure, and then construct the wavelet finite element model for the design of the band gap of the one-dimensional phononic crystal beam structure, which has not yet been involved

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