Design method of topological insulator cellular model of magneto-rheological machine

A technology of topological insulators and design methods, applied in design optimization/simulation, special data processing applications, geometric CAD, etc., can solve complex and changeable problems that cannot be applied

Inactive Publication Date: 2021-10-08
ZAOZHUANG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

When the basic material of the mechanical topological insulator is selected and the design is designed, the characteristics of its energy band structure are also fixed, and the elastic wave frequency that can be controlled is also a fixed frequency band. Under complex engineering and mechanical working conditions Therefore, it is particularly important to develop mechanical topological insulators that can regulate the bandgap frequency range after the structural design is completed.

Method used

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  • Design method of topological insulator cellular model of magneto-rheological machine
  • Design method of topological insulator cellular model of magneto-rheological machine
  • Design method of topological insulator cellular model of magneto-rheological machine

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Embodiment 1

[0062] see image 3 , by the finite element method for figure 2 The cell model of the MRM topological insulator is meshed, and 547 concentrated masses are introduced, and the grid points on the boundary are periodically distributed, so as to facilitate the introduction of periodic boundary conditions.

[0063] see Figure 4 , calculated by the finite element method figure 2 The energy band relationship of the MRM topological insulator cell model in the figure, the points marked by circles in the figure are the necessarily degenerate Dirac points of the K points protected by the cell structure and lattice symmetry.

[0064] Please refer to Figure 5(a) and Figure 5(b), by rotating the left scatterer 25° counterclockwise and the right scatterer 25° clockwise in the MR-MTI cell model, the cell is broken The mirror symmetry of , obtaining a controllable bandgap separating different topological phases, makes Figure 4 The Dirac point in is opened and forms a forbidden band bet...

Embodiment 2

[0069] It should be noted that in this embodiment, the frequency range of the topological transmission channel can be adjusted by changing the rotation angle of the scatterer, the material density and the filling rate in three passive control modes.

[0070] see Figure 8 , is to calculate the energy band diagram of the tripod rotation angle from 0-60° and draw the frequency change diagram of the upper and lower boundaries of the topological channel, from Figure 8 available in

[0071] When the rotation angle is between 0° and 26°, as the rotation angle increases, the upper boundary frequency of the forbidden band moves to high frequency, and the lower boundary frequency of the forbidden band moves to low frequency, and the forbidden band width increases with the increase of rotation angle. Big;

[0072] When the rotation angle is between 26° and 60°, the upper boundary frequency of the forbidden band starts to move toward the lower frequency, and the lower boundary frequen...

Embodiment 3

[0080] It should be noted that, in this embodiment, the shear modulus of the matrix is ​​regulated by changing the strength of the applied magnetic field, so as to achieve non-contact regulation of the transmission frequency range of the topological channel.

[0081] see Figure 11 , by using the finite element method and the plane wave expansion method to calculate the transmission frequency of the topological channel under the magnetic field strength of 0-800A / m, the calculation results of the two methods are basically consistent, and the error is within 20Hz. Specifically, Figure 11 In , the topological boundary start frequency (finite element method and plane wave expansion method) basically coincides, and the topological boundary cutoff frequency (finite element method and plane wave expansion method) also basically coincides.

[0082] see Figure 12 ,It should be noted, Figure 12 The ordinate in = Figure 11 The cutoff frequency in minus Figure 11 The starting fr...

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Abstract

The invention discloses a design method of a topological insulator cellular model of magnetorheological machinery. The design method comprises the following steps: constructing a parallelogram-shaped matrix by adopting a magnetorheological elastomer; using the two metal three-legged rods as scatterers to be filled in the base body; removing four corners of the matrix through difference set operation to form a topological insulator cellular model of the magneto-rheological machine; and destroying the mirror symmetry of the magnetorheological mechanical topological insulator cellular model by rotating the angle of one scatterer, so that a controllable forbidden band for separating different topological phases is obtained, that is, the frequency range of a topological transmission channel of the magnetorheological mechanical topological insulator cellular model is determined to be adjustable. According to the invention, the magneto-rheological mechanical topological insulator cellular model with an adjustable topological transmission channel frequency range is constructed by using the magneto-rheological elastomer as a matrix and the metal tripod as a scatterer in the matrix, so that the model is suitable for complex and changeable actual conditions.

Description

technical field [0001] The invention relates to the technical field of mechanical topological insulators, in particular to a design method for a cell model of a magnetorheological mechanical topological insulator. Background technique [0002] The tuning of mechanical topological insulators can be achieved by tuning physical parameters, geometric parameters, and structural topology. When the basic element material of the mechanical topological insulator is selected and the design is designed, the characteristics of its energy band structure are also fixed. The elastic wave frequency that can be controlled is also a fixed frequency band. Under complex engineering and mechanical working conditions Therefore, it is particularly important to develop mechanical topological insulators that can adjust the bandgap frequency range after the structural design is completed. Contents of the invention [0003] Based on this, the object of the present invention is to provide a method f...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/17G06F30/23
CPCG06F30/17G06F30/23
Inventor 游世辉张圣东
Owner ZAOZHUANG UNIV
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