Two-dimensional solid-solid phononic crystal XY mode topological optimization method

A phononic crystal, topology optimization technology, applied in special data processing applications, instruments, electrical digital data processing and other directions, can solve problems such as the application of bound phononic crystals

Inactive Publication Date: 2013-07-24
BEIJING UNIV OF TECH
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Problems solved by technology

However, it is difficult to predict which form of phononic crystal primary cell structure has the desired optimal band gap, which largely restricts the application of phononic crystals.

Method used

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  • Two-dimensional solid-solid phononic crystal XY mode topological optimization method
  • Two-dimensional solid-solid phononic crystal XY mode topological optimization method
  • Two-dimensional solid-solid phononic crystal XY mode topological optimization method

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Embodiment Construction

[0037] Specific embodiments of the present invention are described below in conjunction with the accompanying drawings:

[0038] In this embodiment, a two-dimensional square lattice solid-solid phononic crystal composed of two materials is studied, and the lattice constant a=1m. Material A is steel, its density ρ A =7780kg / m 3 , and the material Lame constant are λ A =1.22×10 11 Pa, μ A =8.10×10 10 Pa; material B is epoxy resin, its density ρ B =1180kg / m 3 , and the material Lame constant are λ B =4.43×10 9 Pa, μ B =1.59×10 9 Pa.

[0039] This embodiment includes the following steps:

[0040] 1) Input the parameters of the problem to be solved: the number of plane waves is 221 plane waves, the pixel scale N=20, the population size is 60, the crossover rate is 0.5, and the mutation rate is 0.1-0.8.

[0041] 2) Initialization: The initial population is randomly generated, and the original cells are encoded with binary numbers of N×N matrix to form chromosomes (individ...

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Abstract

The invention relates to a two-dimensional solid-solid phononic crystal XY mode topological optimization method, which comprises the following steps of inputting a problem parameter to be solved, and initializing; calculating a dispersion relationship of a phononic crystal primitive cell XY mode corresponding to each genetic individual to obtain a corresponding forbidden band value by using an improved fast plane wave expansion method; according to an optimized goal, using phononic crystal forbidden bands to build an objective function, and then using the value of the objective function to measure the fitness of the genetic individuals; sequentially performing the genetic operations of selection, crossover and mutation to generate the next generation of genus group, so that the genus group evolutes forwards; and checking whether the genus group meets a stop condition. The traditional experience design idea is eliminated, and the goal of actively designing a phononic crystal structure according to the band gap needs is achieved, so that the designability of phononic crystals is enhanced, and the novel phononic crystal structure with optimal band gap characteristics is obtained; and meanwhile, the calculating time is reduced, and the calculating efficiency is improved, so that the designed phononic crystal has the best technical and economic performances.

Description

technical field [0001] The invention belongs to the field of acoustic bandgap material design, and relates to a topology optimization design method for acoustic bandgap materials, in particular to a method based on genetic algorithm and fast plane wave expansion (PWE) method for the distribution of two-dimensional solid-solid phononic crystal primitive cells. Topology optimization design to obtain the required XY mode bandgap characteristics. Background technique [0002] Phononic crystals refer to periodic composite materials with different densities and elastic constants that are periodically combined and have elastic wave band gaps. When elastic waves are periodically modulated by material constants, a vocal band gap may occur, that is, the propagation of elastic waves in a certain frequency range is suppressed or prohibited. This characteristic of phononic crystals has great theoretical significance, and has broad application prospects in new acoustic functional materia...

Claims

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Application Information

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IPC IPC(8): G06F19/00
Inventor 吴斌刘宗发何存富
Owner BEIJING UNIV OF TECH
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