CN111524497A - Fractal structure acoustic metamaterial based on electrorheological fluid - Google Patents

Fractal structure acoustic metamaterial based on electrorheological fluid Download PDF

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Publication number
CN111524497A
CN111524497A CN202010315100.9A CN202010315100A CN111524497A CN 111524497 A CN111524497 A CN 111524497A CN 202010315100 A CN202010315100 A CN 202010315100A CN 111524497 A CN111524497 A CN 111524497A
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flow channel
acoustic metamaterial
electrorheological fluid
fractal
sound
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CN111524497B (en
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张超
刘国强
夏慧
郁殿龙
尹剑飞
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National University of Defense Technology
Institute of Electrical Engineering of CAS
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National University of Defense Technology
Institute of Electrical Engineering of CAS
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    • GPHYSICS
    • G10MUSICAL INSTRUMENTS; ACOUSTICS
    • G10KSOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
    • G10K11/00Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
    • G10K11/16Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
    • G10K11/162Selection of materials

Abstract

A fractal structure acoustic metamaterial based on electrorheological fluid is characterized in that a fractal structure acoustic metamaterial base body (1) is of a cuboid structure and is formed by nesting two parts with concave and convex horizontal sections, and a cavity between the concave part and the convex part forms a flow channel (2); the horizontal section of the flow channel (2) is in a Hilbert fractal curve shape; electrorheological fluid (3) is filled in the flow channel (2), metal electrodes (4) are attached to two side walls, and outlet terminals of the metal electrodes are connected with a direct current power supply (10). When sound waves are transmitted to the sound wave incident surface (6), due to the characteristics of strong reflection and equivalent high refractive index of the fractal structure acoustic metamaterial (11) based on the electrorheological fluid, the sound pressure of a target area under specific frequency is reduced. And adjusting the voltage of the direct current power supply (10) to shift the sound insulation frequency of the acoustic metamaterial (11) based on the electrorheological fluid, so as to adjust and control the sound insulation frequency of the acoustic metamaterial.

Description

Fractal structure acoustic metamaterial based on electrorheological fluid
Technical Field
The invention relates to a fractal structure acoustic metamaterial.
Background
With the acceleration of urbanization process, noise seriously harms the quality of life and physical and psychological health of residents, and becomes one of three environmental pollutions. Complaints of traffic and large electrical equipment noise account for a high percentage. Both traffic noise and power equipment operation noise have remarkable low-frequency line spectrum characteristics, and low-frequency components below 1000Hz are prominent. Relevant researches show that the incidence rate of speech frequency hearing impairment is close to 14.37% even damage to the nervous system and visceral organs when the hearing aid works for a long time or lives in a low-frequency high-noise environment.
Corresponding vibration and noise reduction measures have been adopted in the design process of traffic and electric power facilities, for example, sound insulation and absorption materials are attached to the wall in a substation room; the sound insulation barriers are arranged on two sides of the track, and the noise reduction purpose is achieved by changing the noise size and the transmission direction through absorption, reflection and refraction of the barriers. The traditional material has obvious noise reduction effect on high-frequency noise, but has little effect on low-frequency noise. In 2000, acoustic metamaterials based on the local resonance principle were introduced. The material breaks through the traditional sound quality law, and the realization of the light and thin low-frequency vibration and noise reduction material becomes possible. The acoustic metamaterial is based on a resonance principle, is a composite structure formed by specially designed artificial microstructure units, and has the physical characteristics of negative equivalent mass density, negative equivalent bulk modulus and the like exceeding those of natural materials. The acoustic metamaterial has the characteristic of sub-wavelength sound wave control, namely, the sound wave control which is two orders of magnitude larger than the size of the metamaterial unit can be realized by adopting the smaller size of the metamaterial unit. The acoustic metamaterial has one or more band gaps in a low-frequency band, and noise near the frequency of the band gap can be effectively blocked. The characteristic provides a new theoretical support for solving the problem of low-frequency noise treatment.
The acoustic metamaterial has a remarkable advantage in the aspect of low-frequency noise regulation and suppression, but the acoustic metamaterial has a problem when being used for noise reduction of facilities such as electric equipment and rail transit. The main reason is that once the metamaterial structure and dimension are determined, the noise reduction frequency is determined immediately and cannot be adjusted. Machining errors and other factors easily cause deviation between actual materials and design results; in addition, real environment noise often has time-varying characteristics, and the material of fixed noise reduction frequency is difficult to make dynamic response to the noise that changes, and environmental suitability is relatively poor.
Disclosure of Invention
The invention aims to overcome the defects of the existing acoustic metamaterial, and provides a fractal structure acoustic metamaterial based on electrorheological fluid by combining the electrorheological fluid with the fractal structure acoustic metamaterial. The characteristic that the complex shear modulus of the electrorheological fluid changes along with the intensity of an external electric field is utilized, the sound field is regulated and controlled through the electric field, the defect that the band gap of the acoustic metamaterial is fixed and unchanged is overcome, and the adjustability of sound insulation frequency is realized.
The fractal structure acoustic metamaterial based on the electrorheological fluid comprises a fractal structure acoustic metamaterial base body, a flow channel, a metal electrode, the electrorheological fluid and a sealing film.
The fractal structure acoustic metamaterial base body is of a cuboid structure and is formed by nesting two parts with concave and convex horizontal sections, and a cavity between the two parts forms a flow channel. The shape of the horizontal section of the flow channel is a Hilbert fractal curve. The flow channel has two ports: the flow channel inlet and the flow channel outlet are communicated with the outside. The acoustic wave incident surface and the acoustic wave emergent surface are respectively positioned on two parallel and opposite side surfaces of the fractal structure acoustic metamaterial base body, the plane where the flow channel inlet is positioned is parallel to the acoustic wave incident surface, the plane where the flow channel outlet is positioned is parallel to the acoustic wave emergent surface, and therefore the flow channel inlet is parallel to the flow channel outlet. The sound wave incident surface and the sound wave emergent surface are defined as vertical planes.
The fractal structure acoustic metamaterial base body is made of epoxy resin materials.
And metal electrodes are attached to two side walls of the flow channel, a positive electrode is arranged on one side, and a negative electrode is arranged on the other side. The positive electrode outlet terminal and the negative electrode outlet terminal are positioned on the sound wave incident surface or the sound wave emergent surface. The positive electrode outlet terminal is connected with the positive electrode of the direct current power supply through a lead, and the negative electrode outlet terminal is connected with the negative electrode of the direct current power supply through a lead.
Electrorheological fluid is filled in the flow channel.
The sealing film is a plastic film and wraps the surface of the fractal structure acoustic metamaterial to prevent the electrorheological fluid filled in the flow channel from flowing out.
The electrorheological fluid is insulating oil added with micro-particles or nano-particles, and the dielectric constant of the micro-particles or the nano-particles is far greater than that of the insulating oil. The complex shear modulus of an electrorheological fluid is related to the electric field intensity applied to the electrorheological fluid and is expressed as:
G=G′+iG″ (1)
wherein G 'is the real part of the complex shear modulus, and G' is the imaginary part of the complex shear modulus. G 'and G' are related to the electric field strength.
The external electric field intensity of the electrorheological fluid is the ratio of the output voltage of the direct-current power supply to the width of the flow channel. The width of the flow channel and the external electric field intensity of the electrorheological fluid are closely related to the sound insulation frequency, and the width of the flow channel and the external electric field intensity of the electrorheological fluid are designed according to the required sound insulation frequency.
The working process of the invention is as follows: the sound waves are transmitted to the fractal structure acoustic metamaterial base body, and near the band gap frequency, the sound waves are refracted and reflected for multiple times in the fractal structure acoustic metamaterial base body, and the sound energy is consumed, so that the sound pressure of a target noise reduction area is greatly attenuated. By means of external power supply voltage, the external electric field intensity of the electrorheological fluid in the flow channel is changed, the compound shear modulus of the electrorheological fluid is changed accordingly, the sound insulation frequency of the electrorheological fluid acoustic metamaterial is deviated, and the sound insulation frequency can be adjusted.
The invention organically combines the advantages of the electrorheological fluid and the acoustic metamaterial and has the advantage of flexible and adjustable sound insulation frequency.
Drawings
FIG. 1 is a schematic diagram of an electrorheological fluid-based fractal structure acoustic metamaterial according to the present invention;
FIG. 2 is a cross-sectional view of a fractal structure acoustic metamaterial matrix in the horizontal direction;
FIG. 3 is a cross-sectional view of an acoustic metamaterial with a fractal structure based on electro-rheological fluid according to the present invention;
FIG. 4 is a graph of acoustic loss of fractal-bonded hook acoustic metamaterial based on electrorheological fluid as a function of frequency.
In the figure: the acoustic metamaterial comprises a fractal structure acoustic metamaterial base body 1, a flow channel 2, electrorheological fluid 3, metal electrodes 4, a sealing film 5, a sound wave incident surface 6, a sound wave emergent surface 7, a positive electrode wire outlet terminal 8, a negative electrode wire outlet terminal 9, a direct current power supply 10 and a fractal structure acoustic metamaterial 11 based on the electrorheological fluid.
Detailed Description
The invention is further described below with reference to the accompanying drawings and the detailed description.
As shown in FIG. 1, the fractal structure acoustic metamaterial 11 based on the electrorheological fluid comprises a fractal structure acoustic metamaterial base body 1, a flow channel 2, the electrorheological fluid 3, a metal electrode 4 and a sealing film 5.
As shown in fig. 2, a fractal structure acoustic metamaterial substrate 1 according to an embodiment of the present invention is a rectangular parallelepiped structure, and is formed by nesting two parts, a horizontal cross section of which is concave and convex, and a cavity between the concave part and the convex part forms a flow channel 2. The horizontal section of the flow channel 2 is in a Hilbert fractal curve shape. The flow channel width of this example is 4mm and the horizontal cross-sectional dimension is 60 mm.
As shown in fig. 3, the flow channel 2 has two ports: the flow channel inlet and the flow channel outlet are communicated with the outside. The sound wave incident surface 6 and the sound wave emergent surface 7 are respectively positioned on two parallel and opposite side surfaces of the fractal structure acoustic metamaterial base body, the plane where the flow channel inlet is positioned is parallel to the sound wave incident surface 6, and the plane where the flow channel outlet is positioned is parallel to the sound wave emergent surface 7, so that the flow channel inlet is parallel to the flow channel outlet.
The fractal structure acoustic metamaterial base body 1 is made of epoxy resin materials.
And metal electrodes 4 are attached to two side walls of the flow channel 2, one side of the flow channel is a positive electrode, and the other side of the flow channel is a negative electrode. The positive electrode outlet terminal 8 and the negative electrode outlet terminal 9 are located on the sound wave incident surface or the sound wave emergent surface. The positive electrode outlet terminal 8 is connected with the positive electrode of a direct current power supply 10 through a lead, and the negative electrode appearance terminal 9 is connected with the negative electrode of the direct current power supply 10 through a lead. The voltage of the direct current power supply is adjustable. The variation range of the external electric field intensity of the electrorheological fluid is as follows: 1kV/mm-3 kV/mm.
The flow channel 2 is filled with electrorheological fluid 3. The electrorheological fluid 3 is insulating oil added with micron or nanometer particles with high dielectric property. The sealing film 5 is a plastic film and wraps the surface of the fractal structure acoustic metamaterial base body 1 to prevent the electrorheological fluid 3 filled in the flow channel 2 from flowing out.
The working process of the invention is as follows:
the sound wave is transmitted to the fractal structure acoustic metamaterial base body 1, and near the band gap frequency, the sound wave is refracted and reflected for many times in the fractal structure acoustic metamaterial 11, and the sound energy is consumed, so that the sound pressure of the target noise reduction area is greatly attenuated. By adjusting the voltage of the external direct current power supply 10, the external electric field intensity of the electrorheological fluid 3 in the flow channel 2 is changed, the complex shear modulus of the electrorheological fluid 3 is changed therewith, and the sound insulation frequency of the fractal structure acoustic metamaterial 11 based on the electrorheological fluid 3 is deviated. The frequency domain analysis results in the variation of acoustic transmission loss with frequency as shown in fig. 4. As shown in fig. 4, after the electrorheological fluid 3 is injected into the flow channel 2, the overall sound transmission loss of the fractal structure acoustic metamaterial 11 based on the electrorheological fluid is increased no matter the intensity of the applied electric field, and the peak value of the sound transmission loss moves to a low frequency. When the intensity of the electric field applied to the electrorheological fluid is small, the sound transmission loss is gradually increased along with the increase of the frequency. As the electric field strength increases, the sound transmission loss begins to peak and valley with the frequency. When the intensity of the applied electric field is increased from 1kV/mm to 3kV/mm, the frequency of the first peak of the sound transmission loss curve is gradually increased. Therefore, the sound insulation frequency of the acoustic metamaterial can be regulated and controlled by regulating the external electric field intensity of the electrorheological fluid.

Claims (5)

1. A fractal structure acoustic metamaterial based on electrorheological fluid is characterized in that: the acoustic metamaterial comprises a fractal structure acoustic metamaterial base body (1), a flow channel (2), electrorheological fluid (3), a metal electrode (4) and a sealing film (5); the fractal structure acoustic metamaterial base body (1) is of a cuboid structure and is formed by nesting two parts with concave and convex horizontal sections, and a cavity between the two parts forms a flow channel (2); the horizontal section of the flow channel (2) is in a Hilbert fractal curve shape; electrorheological fluid (3) is filled in the flow channel (2); metal electrodes (4) are attached to two side walls of the flow channel (2), one side is a positive electrode, and the other side is a negative electrode; the outlet terminals of the positive electrode and the negative electrode are connected with a direct current power supply (10); the sealing film (5) is a plastic film and wraps the surface of the fractal structure acoustic metamaterial base body (1).
2. The electrorheological-fluid-based fractal-structure acoustic metamaterial according to claim 1, wherein: the flow channel (2) is provided with two ports: the flow channel inlet and the flow channel outlet are communicated with the outside; the acoustic wave incident surface (6) and the acoustic wave emergent surface (7) are respectively positioned on two parallel and opposite side surfaces of the fractal structure acoustic metamaterial base body (1), the plane where the flow channel inlet is positioned is parallel to the acoustic wave incident surface (6), the plane where the flow channel outlet is positioned is parallel to the acoustic wave emergent surface (7), and the flow channel inlet is parallel to the flow channel outlet; the positive electrode outlet terminal and the negative electrode outlet terminal are positioned on the sound wave incident surface (6) or the sound wave emergent surface (7).
3. The electrorheological-fluid-based fractal-structure acoustic metamaterial according to claim 1, wherein: the electrorheological fluid (3) is insulating oil added with micro-particles or nano-particles, and the dielectric constant of the micro-particles or the nano-particles is greater than that of the insulating oil.
4. The electrorheological-fluid-based fractal-structure acoustic metamaterial according to claim 1, wherein: the fractal structure acoustic metamaterial base body (1) is made of epoxy resin materials.
5. The electrorheological-fluid-based fractal-structure acoustic metamaterial according to claim 1, wherein: the sound wave is transmitted to the fractal structure acoustic metamaterial base body (1), and near the band gap frequency, the sound wave is refracted and reflected in the fractal structure acoustic metamaterial (11), and the sound energy is consumed, so that the sound pressure of a target noise reduction area is greatly attenuated; the external electric field intensity of the electrorheological fluid (3) in the flow channel (2) is changed by adjusting the voltage of an external direct current power supply (10), the complex shear modulus of the electrorheological fluid (3) is changed therewith, the sound insulation frequency of the fractal structure acoustic metamaterial (11) based on the electrorheological fluid (3) is shifted, and the change of sound transmission loss along with the frequency is obtained through frequency domain analysis; the sound insulation frequency of the acoustic metamaterial is regulated and controlled by adjusting the external electric field intensity of the electrorheological fluid.
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Cited By (2)

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CN112282089A (en) * 2020-10-20 2021-01-29 黄飞雁 Rheological state acoustic celotex board based on classic absorption
US11609421B2 (en) 2021-04-12 2023-03-21 Toyota Motor Engineering & Manufacturing North America, Inc. Fluid filled active metasurface

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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112282089A (en) * 2020-10-20 2021-01-29 黄飞雁 Rheological state acoustic celotex board based on classic absorption
CN112282089B (en) * 2020-10-20 2022-03-25 广西鸿昊新材料有限公司 Rheological state acoustic celotex board based on classic absorption
US11609421B2 (en) 2021-04-12 2023-03-21 Toyota Motor Engineering & Manufacturing North America, Inc. Fluid filled active metasurface

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