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
CN113050274BActive Publication Date: 2022-06-21WENZHOU UNIVERSITY
5 Cites 0 Cited by

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
WENZHOU UNIVERSITY
Publication Date
2022-06-21

Smart Images

  • Figure 1
    Figure 1
  • Figure 2
    Figure 2
  • Figure 3
    Figure 3
Patent Text Reader

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.
Need to check novelty before this filing date? Find Prior Art

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

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More