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

A wavelet finite element, phononic crystal technology, applied in design optimization/simulation, calculation, instrument, etc., can solve problems such as poor convergence, long calculation time, inability to accurately calculate phononic crystals, etc., to ensure accuracy and performance. fast effect

Inactive Publication Date: 2017-05-24
WENZHOU UNIVERSITY
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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 engi

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

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Embodiment 1

[0096] Embodiment 1: This embodiment mainly verifies the high performance (fastness, stability, and convergence) of the calculation of the wavelet finite element model for the calculation of the band gap of the one-dimensional phononic crystal beam structure. for figure 1 The 1D phononic crystal beam structure shown. The material of part A is copper, and the material of part B is epoxy resin. The copper and epoxy resin are arranged alternately in a lattice, and the filling rate is a 1 / a 2 =1 / 1, lattice constant a=150mm. The elastic constants of the material of copper and epoxy resin are as Figure 5 shown.

[0097] In order to verify the effectiveness of the wavelet finite element method in calculating the bandgap of phononic crystal beam structures, two BSWI4 3 Beam elements (20 degrees of freedom), 16 and 120 conventional beam elements (34 and 242 degrees of freedom) calculate the bandgap properties of 1D phononic crystal beams. The result is as figure 2 , where the...

Embodiment 2

[0099] Embodiment 2: This embodiment mainly provides the scale range of the one-dimensional phononic crystal beam structure with a wider bandgap calculated by using the wavelet finite element model. The material of part A is copper, and the material of part B is epoxy resin. For the material parameters, see Figure 5 . Without loss of generality, the fixed structural parameters are: a=100mm.

[0100] Adoption, 2 BSWI4 3 The beam element calculates the bandgap of phononic crystals. In order to obtain the bandgap characteristics that meet the requirements of a specific frequency band, the structural size of the one-dimensional phononic crystal beams is continuously calculated and adjusted. Under the premise of a fixed lattice constant, the relationship between the geometric dimensions of the scatterers is determined by obtaining the best filling rate, and finally a One-dimensional phononic crystal beam structure bandgap design, obtain one-dimensional phononic crystal beam str...

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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...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/13G06F30/23
Inventor 向家伟刘帽钟永腾
Owner WENZHOU UNIVERSITY
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