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Two-dimensional liquid-liquid phononic crystal topology optimization method

A phononic crystal and topology optimization technology, applied in special data processing applications, instruments, electrical digital data processing, etc., 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 liquid-liquid phononic crystal topology optimization method
  • Two-dimensional liquid-liquid phononic crystal topology optimization method
  • Two-dimensional liquid-liquid phononic crystal topology optimization method

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Embodiment Construction

[0036] Specific embodiments of the present invention are described below in conjunction with the accompanying drawings:

[0037] In this embodiment, a two-dimensional square lattice liquid-liquid phononic crystal composed of two liquid materials is studied, and the lattice constant a=1m. Material A is water, its density ρ A =1025kg / m 3 , sound wave velocity c lA =1531m / s; material B is mercury, its density ρ B =13500kg / m 3 , the speed of sound wave is c lB =1450m / s.

[0038] This embodiment includes the following steps:

[0039] 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.

[0040] 2) Initialization: The initial population is randomly generated, and the original cell is encoded with a 20×20 matrix binary number to form a chromosome (individual).

[0041]3) Calculation of individual fitness: the phononic crys...

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Abstract

The invention relates to a two-dimensional liquid-liquid phononic crystal topology optimization method, which comprises the following steps of dividing a phononic crystal primitive cell into an N*N square pixel structure; developing a plane wave expansion method program for quickly calculating a two-dimensional liquid-liquid pixel phononic crystal energy band laid by any material according to an acoustic wave equation satisfied by a two-dimensional liquid-liquid phononic crystal dispersion relationship, and calculating a band gap; and finally, searching the optimal material layout of the two-dimensional liquid-liquid phononic crystal primitive cell according to the requirements on the band gap by utilizing a genetic optimization algorithm. The process comprises the following steps of inputting a parameter to be solved, and initializing; calculating individual fitness; 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. Through the topology optimization method, 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) for the distribution of two-dimensional liquid-liquid phononic crystal primitive cells. Topology optimization design to obtain the required vocal bandgap characteristics. Background technique [0002] Phononic crystals refer to materials with different acoustic properties that are periodically combined together and have a periodic composite material with an acoustic band gap. When sound waves are periodically modulated by material constants, a sound band gap may occur, that is, the propagation of sound waves in a certain frequency range is suppressed or prohibited. This characteristic of phononic crystals has great theoretical value, and has broad application prospects in new acoustic functional materials such...

Claims

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Application Information

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IPC IPC(8): G06F17/50G06N3/12
Inventor 吴斌刘宗发何存富
Owner BEIJING UNIV OF TECH
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