CN115116420A - Sound absorption and insulation unit and design method thereof - Google Patents

Sound absorption and insulation unit and design method thereof Download PDF

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Publication number
CN115116420A
CN115116420A CN202210499386.XA CN202210499386A CN115116420A CN 115116420 A CN115116420 A CN 115116420A CN 202210499386 A CN202210499386 A CN 202210499386A CN 115116420 A CN115116420 A CN 115116420A
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Prior art keywords
sound absorption
insulation unit
cavity
sound
module
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Chinese (zh)
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易炬
孙晓明
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Suzhou Saiweisi Environmental Technology Co ltd
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Suzhou Saiweisi Environmental Technology Co ltd
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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
    • G10K11/172—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using resonance effects
    • 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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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Acoustics & Sound (AREA)
  • Multimedia (AREA)
  • Soundproofing, Sound Blocking, And Sound Damping (AREA)

Abstract

The invention discloses a sound absorption and insulation unit and a design method thereof, wherein the sound absorption and insulation unit comprises a frame and a sound absorption component, a second sound absorption module is arranged between the frame and the sound absorption component, a first sound absorption module is arranged on one side of the sound absorption component, a perforated plate is arranged on one side of the frame, which is positioned on the first sound absorption module, and a back plate is arranged on the other side of the frame; the sound absorption component comprises a vibration reduction pad and a resonance cavity plate, a plurality of resonance cavities are formed in the resonance cavity plate, and the resonance cavity plate is located in the resonance cavities and is provided with vibration diaphragms. According to the invention, the sound absorption part in the sound absorption and insulation unit is provided with the low-frequency resonant cavity; the noise in the resonant frequency band can excite the air and the vibrating diaphragm in the resonant cavity to generate vibration, and the vibration of the air and the vibrating diaphragm in the resonant cavity can attenuate the energy of the noise in the corresponding frequency band so as to achieve the effect of noise reduction; through the combination of the resonant cavities with different resonant frequencies and the vibrating membranes, the noise reduction effect of the sound absorption and insulation unit on low-frequency section noise within 500Hz can be improved.

Description

Sound absorption and insulation unit and design method thereof
Technical Field
The invention relates to the technical field related to noise control and sound absorption and insulation, in particular to a sound absorption and insulation unit and a design method thereof.
Background
In noise abatement engineering, sound absorption and insulation units are often used for building sound insulation rooms or used as sound barriers. The common sound absorption and insulation unit is composed of a perforated plate, sound absorption materials and/or sound insulation materials and a sealing plate. A perforated plate is used on 1 of 6 surfaces of a shell of a common sound absorption and insulation unit, and closing plates are used on the other 5 surfaces of the shell of the common sound absorption and insulation unit to form the shell of the sound absorption and insulation unit. And then filling the inside of the case with a sound-absorbing material and/or a sound-insulating material. When the common sound absorption and insulation unit is used, the perforated plate faces to the propagation direction of sound waves, and the perforated plate is the first contact surface of the sound waves. The sound absorption and insulation module has the defect that the noise reduction effect on low-frequency noise is not obvious.
Disclosure of Invention
The invention aims to provide a sound absorption and insulation unit and a design method thereof, and aims to solve the problem that a sound absorption and insulation module in the prior art is not obvious in noise reduction effect of low-frequency noise.
In order to achieve the purpose, the invention provides the following technical scheme: a sound absorption and insulation unit and a design method thereof comprise a frame and a sound absorption component, wherein a second sound absorption module is arranged between the frame and the sound absorption component, a first sound absorption module is arranged on one side of the sound absorption component, a perforated plate is arranged on one side, located on the first sound absorption module, of the frame, and a back plate is arranged on the other side of the frame; the sound absorption component comprises a vibration reduction pad and a resonance cavity plate, a plurality of resonance cavities are formed in the resonance cavity plate, and the resonance cavity plate is located in the resonance cavities and is provided with vibration diaphragms.
Preferably, the diaphragm is a polymer film, an inorganic non-metal film or a metal film, and the diaphragm is provided with through holes (which may be a complete diaphragm or may be provided with holes according to the requirement of adjusting the resonant frequency distribution of the diaphragm; if the diaphragm has a suitable resonant frequency distribution for the low frequency band of the noise to be processed, the diaphragm is not required to be provided with through holes).
Preferably, the resonant cavity is composed of a large cavity and a small cavity, and the large cavity and the small cavity are in a communicated structure.
Preferably, the shape of the second sound absorption module is adapted to the shape of the sound absorption component, and the second sound absorption module is composed of a plurality of side sound absorption modules.
Preferably, the shape of the frame is adapted to the shape of the second sound-absorbing module, and the frame is composed of a plurality of side plates.
Preferably, the damping pad is a damping plate, a polymer elastomer or an elastic foam plate with a damping effect.
Preferably, the first sound absorption module and the second sound absorption module are made of foam materials, fiber materials or other materials with sound absorption effects.
Preferably, waterproof and dustproof cloth is wrapped on the outer sides of the first sound absorption module and the second sound absorption module.
A design method of a sound absorption and insulation unit is characterized by comprising the following steps: the method comprises the following steps:
s1: designing the shapes of a perforated plate, a frame, a back plate, a first sound absorption module, a second sound absorption module, a vibration damping pad and a sound absorption part according to the requirement;
s2: designing a resonant cavity:
using the formula f r ＝1/(2π)*√(1/(M a *C a ) Calculating the resonance frequency of a single resonant cavity;
M a to acoustic mass, M a ＝ρ*(L 1 +L K )/S 1
C a Is sound volume, C a ＝S 2 *L 2 /(ρ*V 0 2 )
Will M a And C a Carry in f r The calculation formula of (c) can be obtained:
f r ＝V 0 /(2π)*√{S 1 /[(L 1 +L K )*S 2 *L 2 ]}
for low frequency noise, the wavelength of the sound wave is much larger than the diameter d of the small cavity, in which case:
L K ＝8/(3π)*d
carry in f r The calculation formula of (c) can be obtained:
f r ＝V 0 /(2π)*√{S 1 /[(L 1 +8/3/π*d)*S 2 *L 2 ]}
V 0 is the speed of sound; s 1 Is the area of the small cavity; s 2 Is the area of the large cavity; l is 1 Is the length of the small cavity; l is 2 Is the length of the large cavity; d is the diameter of the small cavity; ρ is the density of the acoustic propagation medium;
s3: designing a vibrating diaphragm: the finite element method is utilized to carry out analog calculation on the material, thickness, size number and position of the through holes of the diaphragm, and the diaphragm with the best noise reduction effect in a low frequency range (500Hz) aiming at the target noise to be treated is designed.
Compared with the prior art, the invention has the beneficial effects that:
1. the sound absorption component in the sound absorption and insulation unit is provided with a low-frequency resonant cavity; the noise in the resonant frequency band can excite the air in the resonant cavity to generate vibration, and the vibration of the air in the resonant cavity can attenuate the energy of the low-frequency noise in the corresponding frequency band to achieve the effect of noise reduction;
2. the sound absorption component in the sound absorption and insulation unit is provided with a plurality of vibrating membranes; the vibration of the vibrating diaphragms can attenuate the energy of the noise in the corresponding frequency band to achieve the effect of noise reduction;
3. the resonant frequency of a resonant cavity and a vibrating diaphragm in the sound absorption and insulation unit can be accurately designed, and the design realizes the control of the sound absorption and insulation unit on the noise reduction effect of a low-frequency noise specific frequency band;
4. through the combination of the resonant cavities with different resonant frequencies and the vibrating membranes, the noise reduction effect of the sound absorption and insulation unit on low-frequency section noise within 500Hz can be improved.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the principles of the invention and not to limit the invention. In the drawings:
FIG. 1 is a schematic structural view of the present invention;
FIG. 2 is a schematic diagram of the present invention with the perforated plate, border and back plate removed;
FIG. 3 is a cross-sectional view of FIG. 2 of the present invention;
FIG. 4 is an exploded view of the present invention;
FIG. 5 is a schematic view of a second sound absorbing module and sound absorbing member according to the present invention;
FIG. 6 is a front view of FIG. 5 of the present invention;
FIG. 7 is a cross-sectional view of A-A of the present invention;
FIG. 8 is a schematic diagram of a resonant cavity according to the present invention;
FIG. 9 is a graphical representation of finite element calculations for the first 13 th order mode of a diaphragm in accordance with an embodiment of the present invention;
FIG. 10 is a graph of the mode shape of the 8 th mode (frequency 76.29Hz) of a diaphragm according to the present disclosure;
FIG. 11 is a diagram showing the results of finite element calculations of the mode distribution of a diaphragm at about 209Hz in accordance with an exemplary embodiment of the present invention;
FIG. 12 is a graph illustrating the mode shape of the 24 th order mode of the diaphragm at about 209Hz in accordance with an exemplary embodiment of the present invention;
FIG. 13 is a diagram illustrating the mode shape of the 25 th order mode of the diaphragm at about 209Hz in accordance with an exemplary embodiment of the present invention;
FIG. 14 is a graph illustrating the mode shape of the 26 th order mode of the diaphragm at about 209Hz in accordance with an exemplary embodiment of the present invention;
FIG. 15 is a diagram illustrating the invention in the 27 th mode of the diaphragm at about 209 Hz;
FIG. 16 is a graphical representation of finite element calculations for a diaphragm having 67 order modes within 500Hz according to an exemplary embodiment of the present invention;
FIG. 17 is a graphical representation of a finite element calculation result of the first 13 order mode of the exemplary second diaphragm of the present invention;
FIG. 18 is a mode shape diagram of a third order mode of an exemplary second diaphragm of the present disclosure;
FIG. 19 is a diagram illustrating a second order mode shape of an exemplary second diaphragm of the present invention;
FIG. 20 is a mode shape diagram of a first order mode of an exemplary second diaphragm of the present invention.
In the figure: 1. a perforated plate; 2. a frame; 3. a back plate; 4. a first sound absorption module; 5. a second sound absorbing module; 6. a sound absorbing member; 21. a side plate; 51. a side suction module; 61. a resonant cavity; 62. vibrating diaphragm; 63. a vibration damping pad; 64. a resonant cavity plate.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings of the embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention. Thus, the following detailed description of the embodiments of the present invention, presented in the figures, is not intended to limit the scope of the invention, as claimed, but is merely representative of selected embodiments of the invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
Referring to fig. 1 to 8, in the embodiment of the present invention, a sound absorption and insulation unit and a design method thereof include a frame 2 and a sound absorption component 6, a second sound absorption module 5 is disposed between the frame 2 and the sound absorption component 6, a first sound absorption module 4 is disposed on one side of the sound absorption component 6, a perforated plate 1 is mounted on one side of the frame 2, which is located on the first sound absorption module 4, and a back plate 3 is mounted on the other side of the frame 2; the sound absorption component 6 comprises a vibration damping pad 63 and a resonant cavity plate 64, and a plurality of resonant cavities 61 are formed in the resonant cavity plate 64; the resonant cavity plate 64 is positioned in the resonant cavity 61 and is provided with a diaphragm 62; the diaphragm 62 is made of a polymer film, an inorganic non-metal film or a metal film, and the diaphragm 62 is provided with a through hole (if the diaphragm has proper resonance frequency distribution for the low frequency band of the noise to be processed, the diaphragm is not required to be provided with the through hole); the resonant cavity 61 is composed of a large cavity and a small cavity, and the large cavity and the small cavity are in a communicated structure; the shape of the second sound absorption module 5 is adapted to the shape of the sound absorption component 6, and the second sound absorption module 5 is composed of a plurality of side sound absorption modules 51; the shape of the frame 2 is adapted to the shape of the second sound-absorbing module 5, and the frame 2 is composed of a plurality of side plates 21; the vibration damping pad 63 is a damping plate with a damping effect, a high polymer elastomer or an elastic foam plate; the first sound absorption module 4 and the second sound absorption module 5 are made of foam materials, fiber materials or other materials with sound absorption effects; the first sound absorption module 4 and the second sound absorption module 5 are wrapped by waterproof and dustproof cloth.
The side plate and the back plate can be made of metal or nonmetal; the perforated plate can be made of metal or nonmetal; the side plates, the back plate and the perforated plate can be made of the same or different materials; the thicknesses of the side plates, the back plate and the perforated plate can be the same or different; the holes on the perforated plate can be round holes or holes with other shapes; the size and the shape of each hole on the perforated plate can be the same or different; the distribution of each hole on the perforated plate can be equal or unequal; the sound absorption material can be foam (such as PU foam, EPDM foam, melamine foam and the like) or fiber (such as glass wool, rock wool, PET felt and the like) or other materials with sound absorption effect;
the sizes and the shapes of a plurality of resonant cavities in the resonant cavity plate can be the same or different; the material for manufacturing the resonant cavity plate can be metal or nonmetal; the material for manufacturing the vibrating diaphragm can be a high-molecular film, and also can be a proper inorganic non-metallic film and a proper metal film; the vibrating diaphragm can be provided with through holes or not provided with holes; the damping plate can be a damping plate (such as a butyl rubber damping sheet) with damping effect, a high polymer elastomer (such as a rubber plate) or an elastic foam plate (such as a rubber-plastic foam plate);
a design method of a sound absorption and insulation unit is characterized by comprising the following steps: the method comprises the following steps:
s1: designing the shapes of a perforated plate, a frame, a back plate, a first sound absorption module, a second sound absorption module, a vibration damping pad and a sound absorption part as required;
s2: designing a resonant cavity:
using the formula f r ＝1/(2π)*√(1/(M a *C a ) Calculating the resonance frequency of a single resonant cavity;
M a as acoustic mass, M a ＝ρ*(L 1 +L K )/S 1
C a Is sound volume, C a ＝S 2 *L 2 /(ρ*V 0 2 )
Will M a And C a Carry in f r The calculation formula of (c) can be obtained:
f r ＝V 0 /(2π)*√{S 1 /[(L 1 +L K )*S 2 *L 2 ]}
for low frequency noise, the wavelength of the sound wave is much larger than the diameter d of the small cavity, in which case:
L K ＝8/(3π)*d
carry in f r The calculation formula of (c) can be obtained:
f r ＝V 0 /(2π)*√{S 1 /[(L 1 +8/3/π*d)*S 2 *L 2 ]}
V 0 is the speed of sound; s 1 Is the area of the small cavity; s 2 Is the area of the large cavity; l is 1 Is the length of the small cavity; l is 2 Is the length of the large cavity; d is the diameter of the small cavity; ρ is the density of the sound propagation medium (i.e., the density of air) and is the propagation density of the sound propagation medium;
s3: designing a vibrating diaphragm: the finite element method is utilized to carry out analog calculation on the material, thickness, size number and position of the through holes of the diaphragm, and the diaphragm with the best noise reduction effect in a low frequency range (500Hz) aiming at the target noise to be treated is designed.
Designing a resonant cavity:
at V 0 340 m/s; individual resonant cavity dimensions:
L 2 0.025 m; d 2 0.08 m; s 2 3.14 × 0.04 × 0.005024 square meters;
L 1 0.02 m; d 1 0.008 m; s 1 3.14 × 0.004 × 0.00005024 square meters; for example, calculating the resonant frequency of the resonant cavity of the size; substituting the numerical value into the formula:
f r ＝V 0 /(2π)*√{S 1 /[(L 1 +8/3/π*d)*S 2 *L 2 ]}
the calculation can obtain: resonant frequency f of the resonant cavity r ＝209Hz；
Designing a vibrating diaphragm:
example 1
Taking the vibrating diaphragm of the resonant cavity with the above size as an example, a vibrating diaphragm made of a high polymer material is selected:
diaphragm size: diameter: 0.08 m; thickness: 0.1 mm;
vibration film physical property: young's modulus: 1*10 8 N/m 2 (ii) a Poisson ratio: 0.44; density 920kg/m 3
Constraint conditions at the time of calculation: the 6 degrees of freedom of the peripheral curved surface of the diaphragm are all restricted;
performing modal and vibration mode analysis on the diaphragm according to the above conditions, and referring to fig. 9 and 10 for the calculation result;
f r modal distribution around 209 Hz: as shown in FIG. 11;
the vibration mode of the diaphragm in the vicinity of 209Hz is as follows: as in fig. 12-15;
the diaphragm has 67 orders of modal distribution within 500 Hz: as shown in FIG. 16;
example two
Or taking the vibrating diaphragm of the resonant cavity with the above dimensions as an example, a metal vibrating diaphragm is selected:
diaphragm size: diameter: 0.08 m; thickness: 0.1 mm;
vibration film physical property: young's modulus: 2*10 11 N/m 2 (ii) a Poisson ratio: 0.27; density: 7860kg/m 3
Constraint conditions at the time of calculation: the 6 degrees of freedom of the peripheral curved surface of the diaphragm are all restricted.
The vibration mode and the mode shape of the diaphragm are analyzed according to the above conditions, and the calculation results are exemplified as follows:
the diaphragm has only 3 orders of modal distribution within 500Hz, and the resonant frequency and the vibration mode are shown in figures 17-20:
the finite element result of two kinds of vibrating diaphragms of contrastive analysis, to the low frequency noise of the even distribution of energy within 500Hz, this resonant cavity cooperation macromolecular material vibrating diaphragm can obtain more excellent noise reduction effect.
A plurality of resonant cavities are distributed on the sound absorption component, and one resonant cavity corresponds to one resonant frequency;
designing the resonant frequency of the resonant cavity and the distribution of the resonant cavity on the sound absorption component according to the frequency spectrum of the target noise to be treated in a low frequency band; in order to widen the noise reduction frequency of the sound absorption component in a low frequency band, resonant cavities with different resonant frequencies can be designed on the same sound absorption component; in order to enhance the noise reduction effect of the sound absorption component at a certain specific frequency, resonant cavities with the same size can be designed on the same sound absorption component, and the resonant frequency of the resonant cavities is the same as the specific frequency;
screening the material of the vibrating diaphragm according to the spectral distribution of the target noise to be treated in a low frequency band and the size of the resonant cavity, and designing the thickness and the opening of the vibrating diaphragm; in order to widen the noise reduction frequency of the sound absorption component in a low frequency band, a vibrating diaphragm with a plurality of order modal distributions in the low frequency band can be designed and selected; in order to enhance the noise reduction effect of the sound absorption component at a certain specific frequency, the design of the screening (Young modulus, Poisson ratio, density) and thickness of the diaphragm material and the design of the opening on the diaphragm can be used on the premise that the size of the resonant cavity is designed and fixed, so that the resonant frequency of the diaphragm at a certain order is the same as the specific frequency, and the noise reduction effect of the sound absorption component at the specific frequency is enhanced.
The vibration-damping pad on the sound-absorbing component can be a damping plate (such as a butyl rubber vibration-damping sheet) with damping effect, a high-molecular elastomer (such as a rubber plate) or an elastic foam plate (such as a rubber-plastic foam plate); the elastic adhesive with certain thickness can also be used as a vibration damping pad to bond the sound absorption part and the back sealing plate of the sound absorption and insulation unit together, and the two parts form a constraint damping structure to enhance the noise reduction effect of the sound absorption and insulation unit.
One sound absorption component or a plurality of sound absorption components can be arranged in one sound absorption and insulation unit; a plurality of sound absorption components in one sound absorption and insulation unit can be in the same structure or different structures; the sound absorption components in one sound absorption and insulation unit can be the same size or different sizes.
The working principle of the invention is as follows: the sound absorption component in the sound absorption and insulation unit is provided with a low-frequency resonant cavity; the noise in the resonant frequency band can excite the air in the resonant cavity to generate vibration, and the vibration of the air in the resonant cavity can attenuate the energy of low-frequency noise in the corresponding frequency band to achieve the effect of noise reduction;
the sound absorption component in the sound absorption and insulation unit is provided with a plurality of vibrating diaphragms with low-frequency resonance frequency bands; the vibration of the vibrating diaphragms can attenuate the energy of the noise in the corresponding frequency band to achieve the effect of noise reduction;
the resonant frequency of a resonant cavity and a vibrating diaphragm in the sound absorption and insulation unit can be accurately designed, and the design realizes the control of the sound absorption and insulation unit on the noise reduction effect of a low-frequency noise specific frequency band;
through the combination of the resonant cavities with different resonant frequencies and the vibrating membranes, the noise reduction effect of the sound absorption and insulation unit on low-frequency section noise within 500Hz can be improved.
Finally, it should be noted that: although the present invention has been described in detail with reference to the foregoing embodiments, it will be apparent to those skilled in the art that modifications may be made to the embodiments described above, or equivalents may be substituted for elements thereof. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (9)

1. A sound absorption and insulation unit is characterized in that: the sound absorption structure comprises a frame (2) and a sound absorption component (6), wherein a second sound absorption module (5) is arranged between the frame (2) and the sound absorption component (6), a first sound absorption module (4) is arranged on one side of the sound absorption component (6), a perforated plate (1) is arranged on one side, located on the first sound absorption module (4), of the frame (2), and a back plate (3) is arranged on the other side of the frame (2); the sound absorption component (6) comprises a vibration absorption pad (63) and a resonant cavity plate (64), a plurality of resonant cavities (61) are formed in the resonant cavity plate (64), and vibrating diaphragms (62) are arranged in the resonant cavities (61) of the resonant cavity plate (64).
2. The sound absorption and insulation unit according to claim 1, characterized in that: the diaphragm (62) is a polymer film, an inorganic non-metal film or a metal film.
3. The sound absorption and insulation unit according to claim 1 or 2, characterized in that: the resonant cavity (61) is composed of a large cavity and a small cavity, and the large cavity and the small cavity are of a communicated structure.
4. The sound absorption and insulation unit according to claim 1, characterized in that: the shape of the second sound absorption module (5) is adapted to the shape of the sound absorption part (6), and the second sound absorption module (5) is composed of a plurality of side sound absorption modules (51).
5. The sound absorption and insulation unit according to claim 1, characterized in that: the shape of frame (2) is adapted with the shape of second sound module (5) of inhaling, frame (2) comprises a plurality of curb plates (21).
6. The sound absorption and insulation unit according to claim 1, characterized in that: the vibration damping pad (63) adopts a damping plate, a high polymer elastic body or an elastic foam plate with a damping effect.
7. The sound absorption and insulation unit according to claim 1, characterized in that: the first sound absorption module (4) and the second sound absorption module (5) are made of foam materials, fiber materials or other materials with sound absorption effects.
8. The sound absorption and insulation unit according to claim 1, characterized in that: the outer sides of the first sound absorption module (4) and the second sound absorption module (5) are wrapped with waterproof and dustproof cloth.
9. The design method of the sound absorption and insulation unit according to claims 1 to 9, characterized in that: the method comprises the following steps:
s1: designing the shapes of a perforated plate, a frame, a back plate, a first sound absorption module, a second sound absorption module, a vibration damping pad and a sound absorption part as required;
s2: designing a resonant cavity:
using the formula f r ＝1/(2π)*√(1/(M a *C a ) Calculating the resonance frequency of a single resonant cavity;
M a to acoustic mass, M a ＝ρ*(L 1 +L K )/S 1
C a Is sound volume, C a ＝S 2 *L 2 /(ρ*V 0 2 )
Will M a And C a Carry in f r The calculation formula of (c) can be obtained:
f r ＝V 0 /(2π)*√{S 1 /[(L 1 +L K )*S 2 *L 2 ]}
for low frequency noise, the wavelength of the sound wave is much larger than the diameter d of the small cavity, in which case:
L K ＝8/(3π)*d
bringing into f r The calculation formula of (c) can be obtained:
f r ＝V 0 /(2π)*√{S 1 /[(L 1 +8/3/π*d)*S 2 *L 2 ]}
V 0 is the speed of sound; s 1 Is the area of the small cavity; s 2 Is the area of the large cavity; l is 1 Is the length of the small cavity; l is 2 Is the length of the large cavity; d is the diameter of the small cavity; ρ is the density of the acoustic propagation medium;
s3: designing a vibrating diaphragm: the finite element method is utilized to carry out analog calculation on the material, thickness and the size and the position of the through holes of the vibrating diaphragm, and the vibrating diaphragm which aims at the target noise to be treated and has good noise reduction effect at a low frequency band is designed.
CN202210499386.XA 2022-05-09 2022-05-09 Sound absorption and insulation unit and design method thereof Pending CN115116420A (en)

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Application Number Priority Date Filing Date Title
CN202210499386.XA CN115116420A (en) 2022-05-09 2022-05-09 Sound absorption and insulation unit and design method thereof

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202210499386.XA CN115116420A (en) 2022-05-09 2022-05-09 Sound absorption and insulation unit and design method thereof

Publications (1)

Publication Number Publication Date
CN115116420A true CN115116420A (en) 2022-09-27

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