CN116624532A - Local phonon crystal cell with low frequency and ultra-wide band and related crystal plate thereof - Google Patents
Local phonon crystal cell with low frequency and ultra-wide band and related crystal plate thereof Download PDFInfo
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- CN116624532A CN116624532A CN202310481624.9A CN202310481624A CN116624532A CN 116624532 A CN116624532 A CN 116624532A CN 202310481624 A CN202310481624 A CN 202310481624A CN 116624532 A CN116624532 A CN 116624532A
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- 210000002858 crystal cell Anatomy 0.000 title claims abstract description 39
- 239000013078 crystal Substances 0.000 title claims abstract description 35
- 239000000758 substrate Substances 0.000 claims abstract description 45
- 238000013016 damping Methods 0.000 claims abstract description 6
- 210000004027 cell Anatomy 0.000 claims description 13
- 239000000463 material Substances 0.000 claims description 13
- 239000013013 elastic material Substances 0.000 claims description 6
- 239000003822 epoxy resin Substances 0.000 claims description 6
- 229920000647 polyepoxide Polymers 0.000 claims description 6
- 229920002379 silicone rubber Polymers 0.000 claims description 6
- 229910052751 metal Inorganic materials 0.000 claims description 5
- 239000002184 metal Substances 0.000 claims description 5
- 230000000737 periodic effect Effects 0.000 claims description 5
- WFKWXMTUELFFGS-UHFFFAOYSA-N tungsten Chemical compound [W] WFKWXMTUELFFGS-UHFFFAOYSA-N 0.000 claims description 5
- 229910052721 tungsten Inorganic materials 0.000 claims description 5
- 239000010937 tungsten Substances 0.000 claims description 5
- 241001270131 Agaricus moelleri Species 0.000 claims description 4
- 230000001413 cellular effect Effects 0.000 claims description 3
- 238000002955 isolation Methods 0.000 claims description 2
- 230000000694 effects Effects 0.000 abstract description 3
- 239000004038 photonic crystal Substances 0.000 description 16
- 239000011148 porous material Substances 0.000 description 8
- 238000009413 insulation Methods 0.000 description 6
- 230000000704 physical effect Effects 0.000 description 5
- 238000010521 absorption reaction Methods 0.000 description 4
- 238000004364 calculation method Methods 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 238000000034 method Methods 0.000 description 2
- 238000004088 simulation Methods 0.000 description 2
- 230000005540 biological transmission Effects 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 238000003912 environmental pollution Methods 0.000 description 1
- 239000000835 fiber Substances 0.000 description 1
- 239000011491 glass wool Substances 0.000 description 1
- 230000007774 longterm Effects 0.000 description 1
- 239000011490 mineral wool Substances 0.000 description 1
- 239000007787 solid Substances 0.000 description 1
Classifications
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- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods 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
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/162—Selection of materials
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F1/00—Springs
- F16F1/36—Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers
- F16F1/3605—Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers characterised by their material
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F1/00—Springs
- F16F1/36—Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers
- F16F1/373—Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers characterised by having a particular shape
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F3/00—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic
- F16F3/08—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic with springs made of a material having high internal friction, e.g. rubber
- F16F3/087—Units comprising several springs made of plastics or the like material
- F16F3/093—Units comprising several springs made of plastics or the like material the springs being of different materials, e.g. having different types of rubber
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods 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
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/172—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using resonance effects
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F2224/00—Materials; Material properties
- F16F2224/02—Materials; Material properties solids
- F16F2224/025—Elastomers
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F2228/00—Functional characteristics, e.g. variability, frequency-dependence
- F16F2228/001—Specific functional characteristics in numerical form or in the form of equations
- F16F2228/005—Material properties, e.g. moduli
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- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Physics & Mathematics (AREA)
- Acoustics & Sound (AREA)
- Multimedia (AREA)
- Piezo-Electric Or Mechanical Vibrators, Or Delay Or Filter Circuits (AREA)
Abstract
The invention relates to the technical field of phonon crystals, in particular to a low-frequency ultra-wide band gap local phonon crystal cell and a crystal plate related to the same, which comprise a rigid conical scatterer, an elastic substrate and an elastic connecting thin plate, wherein the rigid conical scatterer, the elastic substrate and the elastic connecting thin plate form a local resonance oscillator, the local vibration of the elastic substrate and the elastic connecting thin plate can slow down vibration propagation and generate an elastic wave damping effect.
Description
Technical Field
The invention relates to the technical field of phonon crystals, in particular to a low-frequency ultra-wide band-gap local phonon crystal cell and a relevant crystal plate thereof.
Background
Vibration and noise are widely present in people's lives and long-term exposure of vehicles, boats, and other types of construction machinery to vibration shortens their useful life. For example, automobile noise has become an important environmental pollution source, and not only can cause serious pollution to the surrounding environment of the automobile operation range, affect the normal work, study and life of people, but also can reduce the service life of mechanical parts and pollute the riding environment of passengers in the automobile. Therefore, a solution to reduce structural vibrations and noise is urgently needed.
Phononic crystals are a periodic structure for acoustic vibration control, consisting of two or more materials with different elastic properties. In view of the size and weight of the vehicle body, it is generally required that the thickness of the sound-insulating member be less than 10mm, which poses a challenge to the sound-insulating design.
Traditionally, methods for controlling low frequency noise have been sound insulation or absorption, with most sound insulation using rigid sheet materials, the properties of which depend on the surface mass density of the sheet material. The higher the surface mass density of the sheet, the better the sound insulation performance, and in order to effectively isolate low frequency sound waves, a sheet having a thickness of around 1m is generally required, which is challenging in some practical applications. The sound absorption mainly adopts porous materials such as glass wool fibers, rock wool and the like, the sound absorption performance of the porous materials depends on the thickness of the materials and the pore size of the porous materials, and although the porous materials with small pores can effectively attenuate noise at high frequency, the thickness of the pores is still large at low frequency, so that the application of the porous materials in the aspect of low-frequency noise absorption is limited.
Disclosure of Invention
The invention aims to provide a local phonon crystal cell with a low frequency ultra-wide band gap and a relevant crystal plate thereof, which aim to solve the problem that the existing phonon crystal is difficult to be used for absorbing low frequency noise.
In order to achieve the above objective, in a first aspect, the present invention provides a localized phonon crystal cell with a low frequency ultra wide band gap, which includes a rigid conical scattering body, an elastic substrate and an elastic connection sheet, wherein the elastic substrate is disposed around the rigid conical scattering body, and the elastic connection sheet is elastically connected with the elastic substrate and is located around the elastic substrate.
The rigid conical scatterer is made of any rigid material, preferably metal tungsten, and takes a flat-top round surface as a symmetrical surface, and the shape of the rigid conical scatterer is in an hourglass shape.
The elastic substrate is made of any elastic material different from the elastic connecting thin plate, preferably epoxy resin, and the outer contour of the elastic substrate consists of four large arc curved surfaces and four small arc curved surfaces.
The elastic connection thin plate is made of any elastic material with Young modulus smaller than that of an elastic substrate, preferably silicon rubber, and the elastic substrate is inlaid at the position with the smallest diameter in the middle of the rigid conical scattering body and is symmetrically distributed.
In a second aspect, the invention provides a local-area photonic crystal cell crystal plate with a low frequency and ultra-wide band, wherein the cell crystal plate is formed by arranging a plurality of local-area photonic crystal cells according to two-dimensional periodic distribution, the local-area photonic crystal cells are longitudinally arranged or transversely arranged, the size and the shape of each local-area photonic crystal cell in the cell crystal plate are the same, the length and the width of each local-area photonic crystal cell are the same, and the height is greater than or equal to the length and the width.
Wherein the cellular crystal plate is applied to noise insulation and vibration damping of low, medium and high frequencies.
According to the local-area phonon crystal cell with the low frequency and ultra-wide band gap, the local resonance oscillator is formed by the rigid conical scattering body, the elastic substrate and the elastic connecting thin plate, the local vibration of the elastic substrate and the elastic connecting thin plate can slow down vibration propagation, an elastic wave damping effect is generated, the local-area phonon crystal cell can be found to have 6 complete band gaps below 5000Hz when the lattice constant is 8.5mm through finite element simulation calculation, the band gap coverage rate is over 95%, the average propagation loss of elastic waves in the band gap range reaches 350dB, low-medium-high frequency noise vibration can be effectively controlled, and the small-size control of large wavelength is realized. Compared with the traditional phonon crystal structure, the cell forbidden band of the local phonon crystal has lower initial frequency and wider forbidden band range, and can be suitable for low-frequency, medium-frequency and high-frequency noise environments; the phonon crystal is smaller, so that the control of a large wavelength with a small size is realized; the elastic substrate and the elastic connecting plate are utilized to locally vibrate, 6 complete band gaps are arranged below 5000Hz, the band gap coverage rate exceeds 95%, and the elastic connecting plate has an ultra-wide elastic wave forbidden band with the frequency range of 86.5Hz-4310.2 Hz; the range of the elastic wave forbidden band can be greatly changed by finely adjusting the diameter of the outer circle of the elastic substrate, so that the device can adapt to different types of complex vibration environments. The problem that the existing phonon crystal is difficult to be used for absorbing low-frequency noise is solved.
Drawings
In order to more clearly illustrate the embodiments of the invention or the technical solutions in the prior art, the drawings that are required in the embodiments or the description of the prior art will be briefly described, it being obvious that the drawings in the following description are only some embodiments of the invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic cross-sectional view of a low-frequency ultra-wide band gap local phonon crystal cell structure.
Fig. 2 is a schematic structural diagram of a local phonon crystal cell structure with a low frequency ultra wide band gap.
Fig. 3 is a top view of a localized phonon crystal cell structure with a low frequency ultra wide band gap provided by the present invention.
Fig. 4 is a graph showing the band structure of a localized phonon crystal and its elastic wave transmission loss according to an embodiment of the present invention.
Fig. 5 is a schematic structural diagram of a low-frequency ultra-wide band-gap local phonon crystal cell structure crystal plate.
In the figure: 1-rigid cone-shaped diffuser, 2-elastic substrate, 3-elastic connection sheet
Detailed Description
Embodiments of the present invention are described in detail below, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to like or similar elements or elements having like or similar functions throughout. The embodiments described below by referring to the drawings are illustrative and intended to explain the present invention and should not be construed as limiting the invention.
Referring to fig. 1 to 5, in a first aspect, the present invention provides a low-frequency ultra-wideband localized phonon crystal cell, which includes a rigid cone-shaped diffuser 1, an elastic substrate 2 and an elastic connection sheet 3, wherein the elastic substrate 2 is disposed around the rigid cone-shaped diffuser 1, and the elastic connection sheet 3 is elastically connected with the elastic substrate 2 and is disposed around the elastic substrate 2.
In this embodiment, the rigid conical scattering body 1, the elastic substrate 2 and the elastic connection thin plate 3 form a local resonance oscillator, local vibration of the elastic substrate 2 and the elastic connection thin plate 3 can slow down vibration propagation, an elastic wave damping effect is generated, the local photonic crystal unit cell can be found to have 6 complete band gaps below 5000Hz through finite element simulation calculation, the band gap coverage rate exceeds 95%, and the ultra-wide elastic wave band gap with the frequency range of 86.5Hz-4310.2Hz is provided, the average propagation loss of elastic waves in the band gap range reaches 350dB, low-medium-high frequency noise vibration can be effectively controlled, small-size control of large wavelength is realized, and compared with the traditional photonic crystal structure, the local photonic crystal unit cell band gap has lower initial frequency and a wider band gap range, and can be suitable for low-frequency, medium-frequency and high-frequency noise environments; the phonon crystal is smaller, so that the control of a large wavelength with a small size is realized; the elastic substrate 2 and the elastic connecting plate are utilized to locally vibrate, 6 complete band gaps are arranged below 5000Hz, the band gap coverage rate exceeds 95%, and the elastic connecting plate has an ultra-wide elastic wave forbidden band with the frequency range of 86.5Hz-4310.2 Hz; the range of the elastic wave forbidden band can be greatly changed by finely adjusting the large circular arc diameter of the elastic substrate 2, so that the device can adapt to different types of complex vibration environments. The problem that the existing phonon crystal is difficult to be used for absorbing low-frequency noise is solved.
Furthermore, the rigid conical scatterer 1 is made of any rigid material, preferably metal tungsten, and takes a flat-top round surface as a symmetrical surface, and the shape of the rigid conical scatterer is in an hourglass shape; the elastic substrate 2 is made of any elastic material different from the elastic connecting thin plate 3, preferably epoxy resin, and the outer contour of the elastic substrate is composed of four large arc curved surfaces and four small arc surfaces; the elastic connection thin plate 3 is made of any elastic material with smaller Young's modulus than an elastic substrate, preferably silicon rubber, and the elastic substrate 2 is embedded in the position with the smallest diameter in the middle of the rigid conical scattering body 1 and is symmetrically distributed.
In the present embodiment, the material of the rigid scatterer is preferably tungsten metal, and the physical property parameters are Poisson's ratio of 0.280 and density 17800kg/m 3 Elastic modulus 3.60e11Pa; the material of the elastic substrate 2 is preferably epoxy resin, and the physical property parameter is poisson ratio 0.368 and density 1180kg/m 3 The elastic modulus is 4.35e10P; the material of the elastic connecting sheet 3 is preferably silicon rubber, and the physical property parameters are poisson ratio of 0.470 and density of 1300kg/m 3 The elastic modulus was 1.20e9Pa.
In a second aspect, the invention provides a local-area phonon crystal cell crystal plate with a low frequency and ultra-wide band, wherein the cell crystal plate is formed by arranging a plurality of local-area phonon crystal cells according to two-dimensional periodic distribution, the local-area phonon crystal cells are longitudinally arranged or transversely arranged, the size and the shape of each local-area phonon crystal cell in the cell crystal plate are the same, the length and the width of each local-area phonon crystal cell are the same, and the height is greater than or equal to the length and the width; the cellular crystal plate is applied to noise isolation and vibration damping of low frequency, medium frequency and high frequency.
In the embodiment, the elastic wave propagation average loss of the crystal plate in the forbidden band range is 350dB, low-medium-high frequency noise vibration can be effectively controlled, small-size control of large wavelength is realized, and the crystal plate can be used for different scenes such as sound insulation of an automobile cab, vibration reduction of engineering machinery, vibration reduction of a building and the like.
For a better understanding of the present technical solution, the following examples are now provided for further illustration:
example 1
As shown in fig. 1 and 2, the elastic substrate comprises a rigid conical scattering body 1 and an elastic substrate 2 which surrounds the outer contour of the rigid scattering body and has four sections of large circular arcs and four sections of small circular arcs, and cuboid elastic connecting thin plates 3 are arranged around the elastic substrate 2.
In the present embodiment, the lattice constant of the localized phonon crystal cell a=8.5 mm, and the diameter d of the small circular arc surface of the elastic substrate 2 1 Diameter d of conical bottom surface of rigid diffuser =8mm 2 Diameter d of conical top surface of the rigid diffuser =8mm 3 =5mm, the major arc surface diameter d of the elastic substrate 2 4 =8mm; the thickness l=0.25 mm of the elastic connection sheet 3, the thickness of the elastic base plate 2 and the width w=2.15 mm of the elastic connection sheet 3, the height h of the elastic connection sheet 3 1 =1 mm, height h of cone of the rigid scatterer 2 ＝5mm；
The material of the rigid scatterer is preferably tungsten metal, and the physical parameters are poisson ratio of 0.280 and density of 17800kg/m 3 The elastic modulus is 3.60e11Pa; the material of the elastic substrate 2 is preferably epoxy resin, and the physical property parameter is poisson ratio 0.368 and density 1180kg/m 3 The elastic modulus is 4.35e10P; the material of the elastic connecting sheet 3 is preferably silicon rubber, and the physical property parameters are poisson ratio of 0.470 and density of 1300kg/m 3 The elastic modulus is 1.20e9P;
the rigid conical scatterer 1 of the local phonon crystal is a solid hourglass formed by mirror symmetry of a flat-top cone and a top surface serving as a symmetry plane, the elastic substrate 2 is inlaid in the middle of the hourglass, the outer contour of the elastic substrate comprises four large arc curved surfaces and four rectangular planes, and the elastic connecting thin plate 3 is connected to the four small arc surfaces of the elastic substrate 2.
The elastic substrate 2 is provided with one place, the radiuses of the four large arc surfaces and the four small arc surfaces are d4, the arc lengths are the same, the elastic substrate 2 is made of epoxy resin, and the four small arc surfaces have the same circle center;
the elastic connecting thin plate 3 is connected with four small circular arc surfaces of the elastic substrate 2 respectively in four places, and the elastic connecting thin plate 3 is made of silicon rubber and plays roles in local vibration and consumption of elastic wave energy.
Example two
The embodiment discloses a low-frequency ultra-wide band gap photonic crystal slab structure made of local photonic crystal cells based on the first embodiment, as shown in fig. 3, including a plurality of local photonic crystal cells, where the local photonic crystal cells are arranged in a two-dimensional periodic array.
In this embodiment, the local-area photonic crystal unit cells are arranged longitudinally or transversely, the size and shape of each local-area photonic crystal unit cell in the unit cell crystal plate are the same, the length and width of each local-area photonic crystal unit cell are the same, and the height is greater than or equal to the length and width, and the crystal plate structure can be used in different scenes such as sound insulation of an automobile cab, vibration reduction of engineering machinery, vibration reduction of a building and the like.
The above disclosure is only a preferred embodiment of a low-frequency ultra-wideband local-area photonic crystal cell and its related crystal plate, but it should be understood that the scope of the invention is not limited thereto, and those skilled in the art will understand that all or part of the procedures for implementing the above embodiments are equivalent and still fall within the scope of the invention.
Claims (6)
1. A low-frequency ultra-wide band-gap local phonon crystal cell is characterized in that,
the elastic base plate is arranged around the rigid conical scattering body, and the elastic connecting sheet is elastically connected with the elastic base plate and is positioned around the elastic base plate.
2. A localized phonon crystal cell with Ultra Wide Band (UWB) of claim 1, wherein,
the rigid conical scatterer is made of any rigid material, preferably metal tungsten, and takes a flat-top round surface as a symmetrical surface, and the shape of the rigid conical scatterer is in an hourglass shape.
3. A localized phonon crystal cell with Ultra Wide Band (UWB) of claim 1, wherein,
the elastic substrate is made of any elastic material different from the elastic connecting thin plate, preferably epoxy resin, and the outer contour of the elastic substrate consists of four large arc curved surfaces and four small arc curved surfaces.
4. A localized phonon crystal cell with Ultra Wide Band (UWB) of claim 1, wherein,
the elastic connection thin plate is made of any elastic material with Young modulus smaller than that of an elastic substrate, preferably silicon rubber, and the elastic substrate is inlaid at the position with the smallest diameter in the middle of the rigid conical scattering body and is symmetrically distributed.
5. A low-frequency ultra-wide band localized phonon crystal cell crystal plate, applied to a low-frequency ultra-wide band localized phonon crystal cell as claimed in claim 1,
the cell crystal plate is formed by arranging a plurality of local phonon crystal cells according to two-dimensional periodic distribution, the local phonon crystal cells are longitudinally arranged or transversely arranged, the size and the shape of each local phonon crystal cell in the cell crystal plate are the same, the length and the width of each local phonon crystal cell are the same, and the height is larger than or equal to the length and the width.
6. A localized phonon crystal cell plate with Ultra Wide Band (UWB) of claim 5, wherein,
the cellular crystal plate is applied to noise isolation and vibration damping of low frequency, medium frequency and high frequency.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202310481624.9A CN116624532A (en) | 2023-04-28 | 2023-04-28 | Local phonon crystal cell with low frequency and ultra-wide band and related crystal plate thereof |
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| Application Number | Priority Date | Filing Date | Title |
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| CN202310481624.9A CN116624532A (en) | 2023-04-28 | 2023-04-28 | Local phonon crystal cell with low frequency and ultra-wide band and related crystal plate thereof |
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| CN116624532A true CN116624532A (en) | 2023-08-22 |
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| CN202310481624.9A Pending CN116624532A (en) | 2023-04-28 | 2023-04-28 | Local phonon crystal cell with low frequency and ultra-wide band and related crystal plate thereof |
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