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Two-dimensional solid-phase phonon crystal XY module cord gap optimization method based on genetic algorithm

A technology of phononic crystals and genetic algorithms, applied in the field of acoustic bandgap material design, can solve problems such as the application of bound phononic crystals

Active Publication Date: 2013-09-25
BEIJING UNIV OF TECH
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Problems solved by technology

[0004] However, what kind of phononic crystal cell structure has the desired optimal bandgap is a difficult problem to realize only based on empirical summary and intuitive prediction, which largely constrains People's applications of phononic crystals

Method used

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  • Two-dimensional solid-phase phonon crystal XY module cord gap optimization method based on genetic algorithm
  • Two-dimensional solid-phase phonon crystal XY module cord gap optimization method based on genetic algorithm
  • Two-dimensional solid-phase phonon crystal XY module cord gap optimization method based on genetic algorithm

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Embodiment Construction

[0029] The present invention will be further described below in conjunction with drawings and embodiments.

[0030] In this embodiment, a two-dimensional square lattice solid-phase phononic crystal composed of two materials is studied. Material A is steel, its density ρ A =7780kg / m 3 , and the material Lame constants are λ A =122GPa,μ A =81GPa; material B is epoxy resin, its density ρ B =1180kg / m 3 , and the material Lame constants are λ B =4.43GPa,μ B =1.59GPa.

[0031] The method flow chart of this embodiment is as follows figure 1 shown, including the following steps:

[0032] Step 1, generate the initial population: Randomly generate chromosomes (individuals) represented by binary numbers to form the initial population, the initial population size N pop =60.

[0033] Step 2: Calculating individual fitness: the present invention discretizes the original cell of the phononic crystal into a 20×20 square unit structure by comprehensively considering the computing po...

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Abstract

The invention belongs to the field of vocal cord gap material design and discloses a two-dimensional solid-phase phonon crystal XY module cord gap optimization method based on a genetic algorithm. The two-dimensional solid-phase phonon crystal XY module cord gap optimization method is used for achieving the purpose of designing a phonon crystal structure actively according to a two-dimensional solid-phase phonon crystal XY module cord gap requirement. The method includes: step 1, generating chromosomes indicated by binary numbers randomly to form an initial population; step 2, calculating individual fitness based on a finite element method; step 3, executing selection, crossing and variation genetic operation sequentially to generate the next generation of population and evolving the population forward to update the population continuously; step 4, verifying whether the population meets stopping conditions, on yes judgment, outputting the optimal result, and exiting, and otherwise, returning to the step 2. According to the method, traditional experience design ideas are abandoned, the purpose of designing the phonon crystal structure actively according to the cord gap is achieved, and the designability of the phonon crystal is good. Meanwhile, calculating time is shortened, calculating efficiency is improved, and the designed phonon crystal achieves the best technical economic performance.

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 algorithms and finite element methods to optimize the topology distribution of two-dimensional solid-phase phononic crystal protocellular materials, and to Obtain the required XY mode bandgap characteristics. Background technique [0002] Phononic crystals refer to periodic composite materials with elastic wave bandgap properties. For two-dimensional phononic crystals, when the elastic wave propagates in the two-dimensional plane (x, y), if the medium displacement is also in the two-dimensional plane (x, y), it is called an in-plane coupled mode (XY mode). . With proper design, the XY modes of phononic crystals can generate elastic wave band gaps, that is, the propagation of elastic waves in a certain frequency range is suppressed or prohibited. The ela...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06N3/12
Inventor 吴斌刘宗发何存富
Owner BEIJING UNIV OF TECH
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