CN108344803A - The research method of low frequency noise processing is carried out using COMSOL resonant cavity models - Google Patents
The research method of low frequency noise processing is carried out using COMSOL resonant cavity models Download PDFInfo
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- CN108344803A CN108344803A CN201810144163.5A CN201810144163A CN108344803A CN 108344803 A CN108344803 A CN 108344803A CN 201810144163 A CN201810144163 A CN 201810144163A CN 108344803 A CN108344803 A CN 108344803A
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Abstract
The present invention relates to a kind of research methods carrying out low frequency noise processing using COMSOL resonant cavity models, Step 1: making the resonant cavity model of different size；Step 2: the first detected components, which are not put into 4206 impedance tube of B＆K types, carries out oise insulation factor test, the second detected components, which are not put into 4206 impedance tube of B＆K types, carries out oise insulation factor test；Step 3: the theoretical modeling of resonant cavity sound absorption is carried out using COMSOL softwares, until the gross data of COMSOL softwares fitting and the experimental data of step 2 are almost the same；Step 4: using COMSOL softwares, continue the expansion simulation for carrying out resonant cavity sound absorption using control variate method, and finally determines film thickness, diameter to the influence curve of sound absorption effect.The film-type resonant cavity of this adjustable parameter, the absorption frequency and absorption coefficient of peak value are adjusted by the thickness of the size and elastic membrane that change model, theoretical modeling is carried out in conjunction with COMSOL softwares, will realize that the specificity of specific frequency absorbs with minimum space, material and minimum cost.
Description
Technical field
Low frequency noise processing technology field of the present invention, and in particular to a kind of to carry out low frequency using COMSOL resonant cavity models
The research method of noise treatment.
Background technology
Noise elimination plays an important role in our daily life, (is arrived 50 especially for low-frequency noise
Between 500Hz).Due to its penetration power height, realize that effective absorption of low-frequency noise is still a very large order at present.It inhales
The conventional material of sound, such as brick, concrete walls can provide noise attentuation with centering high.However, fully absorbing about
The noise of 300Hz needs its nearly half meter of thickness.With the development of the sound absorbing performance of new material, such as porous fibrous material, band
There is certain depth tuning cavity, required material thickness to be reduced to quarter-wave behind for the porous plate of hole or micropore, surface
It is long, it can realize considerable absorption.But as geometric dimension becomes smaller, can often cause and the faulty impedance matching of incidence wave.
Film resonator is to be sent to great expectations in a kind of future to realize the structure that low frequency noise absorbs.Various forms of films
Resonator has been proved to be able to realize that the perfect of sub-wavelength absorbs by hybridizing resonance, but current film resonator is all
The hydridization eigenstate of difference springform is manufactured using coin is pasted on film.
We have found that the perfect absorption of low frequency can also be reached by relying solely on the absorber of springform in an experiment, we
Wish to continue to use the cavity modes for the cylindricality rigid frame that elastic film is fixed on to interior sky.Model geometric shape under this pattern
Shape is simple, is easy to large-scale production and application, and parametric variable is few, is easy to study the pass of it and sound absorption frequency using control variate method
System, to provide a kind of completely new research method for low frequency noise environmental improvement.
Invention content
For this purpose, the present invention is intended to provide a kind of research side carrying out low frequency noise processing using COMSOL resonant cavity models
Method includes the following steps：
Step 1: making the resonant cavity model of different size；
Resonant cavity model includes resonant cavity resonant cavity lid, and resonant cavity is made of PLA material 3D printer, resonance
Cavity is the hollow cylinder of open at one end, and the resonance chamber lid is made of the elastic film of Uniform Tension, and resonance chamber lid is just
It covers well in resonant cavity open end and is fixed using silica gel, to surround a closing resonant cavity model；The three of resonant cavity model
A parameter is height h, diameter d, film thickness a；
Height h, the diameter d of resonant cavity model immobilize, and film thickness a chooses 0.2mm, 0.3mm and 0.4mm respectively, make
First detection group of three different film thickness；
Height h, the film thickness a of resonant cavity model immobilize, and diameter d chooses 6cm, 9cm respectively, make two different-diameters
The second detection group；
Step 2: the first detected components, which are not put into 4206 impedance tube of B＆K types, carries out oise insulation factor test, and obtain first group
Experimental data, to analyze influence of the film thickness to sound absorption effect；By the second detected components be not put into 4206 impedance tube of B＆K types carry out every
Volume is tested, and obtains second group of experimental data, to analyze influence of the diameter to sound absorption effect；
Step 3: the theoretical modeling of resonant cavity sound absorption is carried out using COMSOL softwares, including：(1) according to resonant cavity
Structural parameters establish the 3D simulation models of resonant cavity；(2) material property is assigned to the 3D simulation models；(3) to the 3D
Simulation model carries out mesh generation；(4) experimental data in step 2 is compared with the gross data that COMSOL softwares are fitted
Compared with judging whether gross data is consistent with experimental data, if so, using the corresponding parameter of 3D simulation models as resonant cavity
Design parameter and skip to step 4；If it is not, then adjusting the parameter of the 3D simulation models and repeating step 3, until COMSOL
The gross data of software fitting and the experimental data of step 2 are almost the same；
Step 4: using COMSOL softwares, continue the expansion simulation that resonant cavity sound absorption is carried out using control variate method：It will be humorous
The height of cavity mold of shaking type is fixed on 6cm, and the range of film thickness a is extended to 0.2mm~1mm, and ascending each increase
The range of diameter d is extended to 4cm~13cm by 0.1mm, and ascending each increase 1cm is simulated, and finally determines film
Influence curve of the thick, diameter to sound absorption effect.
The beneficial effects of the invention are as follows：The film-type resonant cavity of this adjustable parameter, it is by the resonant cavity and film that open
It constitutes, the absorption frequency and absorption coefficient of peak value is adjusted by the thickness of the size and elastic membrane that change model.In conjunction with
COMSOL softwares carry out theoretical modeling, and experimental data is substantially completely coincide with theoretical, will be with the space of minimum, material and minimum
Cost realize specific frequency specificity absorb.
Description of the drawings
Fig. 1 is the structural schematic diagram of resonant cavity model.
Fig. 2 is under level altitude and diameter, under three kinds of different film thickness, the relation curve of acoustic absorptivity A and corresponding frequencies f.
Fig. 3 is under level altitude and film thickness, under two kinds of different-diameters, the relation curve of acoustic absorptivity A and corresponding frequencies f.
Fig. 4 is the relation curve of the acoustic absorptivity A and corresponding frequencies f of 0.2mm~1mm film thickness ranges.
Fig. 5 is the frequency bandwidth of 0.2mm~1mm film thickness ranges and the function relation curve of film thickness.
Fig. 6 is the absorption peak frequency of 0.2mm~1mm film thickness ranges and the function relation curve of film thickness.
Fig. 7 is the relation curve of the acoustic absorptivity A and corresponding frequencies f of 4~13cm diameter ranges.
Fig. 8 is the frequency bandwidth of 4~13cm diameter ranges and the function relation curve of diameter.
Fig. 9 is~absorption peak frequency of 13cm diameter ranges and the function relation curve of diameter.
Figure 10 is film thickness experiment and analog result is 0.4mm, reaches perfect near 314Hz and absorbs schematic diagram.
Figure 11 is film thickness experiment and analog result is 0.8mm, reaches perfect near 199Hz and absorbs schematic diagram.
Specific implementation mode
By way of example and in conjunction with the accompanying drawings, the invention will be further described：
A kind of research method carrying out low frequency noise processing using COMSOL resonant cavity models, which is characterized in that including
Following steps：
Step 1: making the resonant cavity model of different size；
As shown in Figure 1, resonant cavity model is made of resonant cavity resonant cavity lid two parts.Resonant cavity uses PLA materials
Material 3D printer is made, and resonant cavity is the hollow cylinder of open at one end.Resonance chamber lid uses the elastic film of Uniform Tension
It is made, resonance chamber lid is just covered in resonant cavity open end and fixed using silica gel, to surround a closing resonant cavity model.
Three parameters of resonant cavity model are height h, diameter d, film thickness a.
In order to carry out the experiment of resonant cavity model using control variate method, the resonant cavity model for making different size is needed.
In tri- the height h of resonant cavity model, diameter d, film thickness a parameters of structural dimension, influences of the height h to sound absorption effect almost may be used
To ignore, and the height h of resonant cavity model is limited by space in practical applications, therefore without resonant cavity model
The sound absorption of height h is tested, and is only carried out diameter d, film thickness a and is tested to the sound absorption of noise.
Specially：Height h=6cm, the diameter d=6cm of resonant cavity model immobilize, film thickness a choose respectively 0.2mm,
0.3mm and 0.4mm makes the first detection group of three different film thickness.
In addition, the height h=6cm of resonant cavity model, film thickness a=0.4mm immobilize, diameter d choose respectively 6cm,
9cm makes the second detection group of two different-diameters.
Step 2: the first detected components, which are not put into 4206 impedance tube of B＆K types, carries out oise insulation factor test, and obtain first group
Experimental data, to analyze influence of the film thickness to sound absorption effect.As illustrated in solid line in figure 2：As film thickness increases, the best peak frequency that absorbs sound
Rate significantly reduces, and acoustic absorptivity increases, and frequency bandwidth reduces.
Second detected components are not put into 4206 impedance tube of B＆K types and carry out oise insulation factor test, and obtain second group of experiment number
According to analyze influence of the diameter to sound absorption effect.As shown on the solid line in figure 3：As diameter increases, the best peak frequency that absorbs sound slightly has
It reduces, acoustic absorptivity is increased slightly, and frequency bandwidth obviously increases.In the step 2, preferably dual microphone is utilized to obtain first
Group, second group of experimental data.
Step 3: the theoretical modeling of resonant cavity sound absorption is carried out using COMSOL softwares, including：(1) according to resonant cavity
Structural parameters establish the 3D simulation models of resonant cavity；(2) material property is assigned to the 3D simulation models；(3) to the 3D
Simulation model carries out mesh generation；(4) experimental data in step 2 is compared with the gross data that COMSOL softwares are fitted
Compared with judging whether gross data is consistent with experimental data, if so, using the corresponding parameter of 3D simulation models as resonant cavity
Design parameter and skip to step 4；If it is not, then adjusting the parameter of the 3D simulation models and repeating step 3, until COMSOL
The gross data of software fitting and the experimental data of step 2 are almost the same.
The gross data characteristic that COMSOL softwares calculate is as shown in phantom in Figure 2：As film thickness increases, the best peak frequency that absorbs sound
Rate is substantially reduced, and acoustic absorptivity and frequency band are basically unchanged.Gross data is almost the same with experimental data, to which we obtain knot
By：Fixed in other parameters, the peak frequency that absorbs sound completely reduces with the increase of film thickness, is inversely proportional with film thickness.
The gross data characteristic that COMSOL softwares calculate is as shown in phantom in Figure 3：As diameter increases, the best peak frequency that absorbs sound
Rate reduces, and frequency bandwidth obviously increases, and acoustic absorptivity is basically unchanged.Gross data is almost the same with experimental data, to us
It draws a conclusion：Fixed in other parameters, the peak frequency that absorbs sound completely increases with the increase of diameter, with diameter at just
Than.
Pass through above step, it can be deduced that preliminary conclusion, compared with experiment model, the overall trend of theory sound absorption seems to compare
More perfect, this phenomenon may be the experimental error caused by manual operation, the interference of external environment, and elasticity of film etc. is uneven
Property, fixed film is to the tight ness rating of frame, caused by error of 3D printing models etc..The combination that theoretical modeling and experiment measure shows
The correctness of above-mentioned conclusion, this is that our greatnesses of desk study start.
Step 4: using COMSOL softwares, continue the expansion simulation that resonant cavity sound absorption is carried out using control variate method.According to
Exploration in terms of experimental and theoretical computation two to rule before, it will be seen that experiment and theory realize perfectly
Unanimously.Therefore, in order to verify whether above-mentioned conclusion is general, the height of resonant cavity model is fixed on 6cm, by the range of film thickness a
It is extended to 0.2mm~1mm, and ascending each increase 0.1mm, the range of diameter d is extended to 4cm~13cm, and by small
It is simulated to the big 1cm that increases every time, and finally determines film thickness, diameter to the influence curve of sound absorption effect.
Expansion of the Thickness Variation to sound absorption effect：Fig. 4-Fig. 6 shows the simulation result and data point of different film thicknesses
Analysis；Wherein, Fig. 4 shows to be moved to the left with the increase of film thickness, absorption peak, and bandwidth tapers into；Fig. 5 and Fig. 6 shows simulation
As a result concrete analysis, bandwidth (corresponding acoustic absorptivity is that maximum value obtains the difference between 50% volume, two frequencies) and sound absorption peak frequency
Rate reduces with the increase of film thickness.
Expansion of the diameter change to sound absorption effect：Fig. 7-Fig. 9 shows simulation result and the data analysis of different-diameter；
Wherein, Fig. 7 shows whole sound absorption images corresponding with the different-diameter of model；We are it can be found that there are two in Fig. 8
Extreme point, when diameter is less than 6cm, bandwidth increases with diameter and is reduced.On the contrary, when diameter changes in the range of 6cm to 9cm
When, bandwidth is gradually increased with diameter increase.When diameter is more than 10cm, bandwidth is stablized in about 150Hz.Such as Fig. 9, absorption peak frequency
Rate fluctuates near 300Hz, there is an extreme point in fig.9, and corresponding abscissa is 8cm, on the left of extreme point, absorbs
Crest frequency reduces with the increase of diameter, however, when diameter is when between 8 centimetres to 9 centimetres, absorption peak frequency with
The increase of diameter and become larger.
Above-mentioned analysis improves the relationship of sound absorption effect and film thickness, diameter, is provided further to explore its application field
Significance.
It was found that exploration and conclusion and above-mentioned theory based on experiment calculate, the absorption peak frequency of model is with film
Thick changing rule variation, shows e index function.
Y=A × exp (- x^t2/t1)+y0
(A=323.64208, t1=0.15885, t2=1.96122, y0=193.013434), y is absorption peak frequency,
X is film thickness.
Change distribution computer room and air-conditioning are the main sources of low frequency noise, the former noise frequency is about 199Hz, and the latter's makes an uproar
Acoustic frequency is about 314Hz.For resonant cavity model (a diameter of 9cm is highly 6cm), calculated according to above-mentioned formula, the thickness of film
It should be set as 0.4mm and 0.8mm, to realize perfect absorb under correlated frequency.Then, we simulate two moulds of different film thicknesses
Type is verified, as a result as shown in Figure 10 and Figure 11.There are apparent absorption peak, the reality of two models near 199Hz and 314Hz
Result is tested to coincide well with analog result.
Our data and theoretical modelings through a large number of experiments, finds out the elastic membrane and hollow cylindrical frame by Uniform Tension
The universal law of the sound absorption characteristics of the resonant cavity model of frame composition.In brief, the relationship between absorption peak frequency and film thickness
For e index, bandwidth reduces with diameter increase within a certain height.In addition, for refrigerator (specific frequency 199hz)
With the noise absorbent of air-conditioning fan (specific frequency 314hz), it has been found that resonator mode molded dimension is accordingly：Height 6cm,
Diameter 9cm, film thickness 0.4mm and high 6cm, diameter 9cm, film thickness 0.8mm.Simultaneously find the model can by COMSOL softwares into
Luggage is matched.This means that our model is effectively applied to solve real-life problem of noise pollution.It can see
Go out, we are consistent with notional result by testing the model sound absorption characteristics obtained and the relationship of relevant parameter.On the other hand, due to
Our pattern and its corresponding rule are relatively easy management and simple, it is easier to which the reality for being introduced in every field is answered
In.The size of model is at least 1/15 of the wavelength in its air, is had been able at present for air-conditioning draught fan and substation
Low frequency noise etc. carries out specific absorption, the application prospect very desirable as sound absorber.
Claims (4)
1. it is a kind of using COMSOL resonant cavity models carry out low frequency noise processing research method, which is characterized in that including with
Lower step：
Step 1: making the resonant cavity model of different size；
Resonant cavity model includes resonant cavity resonant cavity lid, and resonant cavity is made of PLA material 3D printer, resonant cavity
For the hollow cylinder of open at one end, the resonance chamber lid is made of the elastic film of Uniform Tension, and resonance chamber lid is just covered
It is fixed in resonant cavity open end and using silica gel, to surround a closing resonant cavity model；Three ginsengs of resonant cavity model
Number is height h, diameter d, film thickness a；
Height h, the diameter d of resonant cavity model immobilize, and film thickness a chooses 0.2mm, 0.3mm and 0.4mm respectively, make three
First detection group of different film thickness；
Height h, the film thickness a of resonant cavity model immobilize, and diameter d chooses 6cm, 9cm respectively, make the of two different-diameters
Two detection groups；
Step 2: the first detected components, which are not put into 4206 impedance tube of B＆K types, carries out oise insulation factor test, and obtain first group of experiment
Data, to analyze influence of the film thickness to sound absorption effect；Second detected components are not put into 4206 impedance tube of B＆K types and carry out oise insulation factor
Test, and second group of experimental data is obtained, to analyze influence of the diameter to sound absorption effect；
Step 3: the theoretical modeling of resonant cavity sound absorption is carried out using COMSOL softwares, including：(1) according to the structure of resonant cavity
Parameter establishes the 3D simulation models of resonant cavity；(2) material property is assigned to the 3D simulation models；(3) 3D is emulated
Model carries out mesh generation；(4) experimental data in step 2 is compared with the gross data that COMSOL softwares are fitted, is sentenced
Whether disconnected gross data and experimental data are consistent, if so, using the corresponding parameter of the 3D simulation models setting as resonant cavity
Meter parameter simultaneously skips to step 4；If it is not, then adjusting the parameter of the 3D simulation models and repeating step 3, until COMSOL softwares
The gross data of fitting and the experimental data of step 2 are almost the same；
Step 4: using COMSOL softwares, continue the expansion simulation that resonant cavity sound absorption is carried out using control variate method：By resonant cavity
The height of model is fixed on 6cm, and the range of film thickness a is extended to 0.2mm~1mm, and ascending each increase 0.1mm, will
The range of diameter d is extended to 4cm~13cm, and ascending each increase 1cm is simulated, and finally determines film thickness, diameter
To the influence curve of sound absorption effect.
2. the research method described in accordance with the claim 1 that low frequency noise processing is carried out using COMSOL resonant cavity models,
It is characterized in that：The height h of the resonant cavity model of the first detection group is 6cm in the step 1, and diameter d is 6cm.
3. the research method of low frequency noise processing is carried out using COMSOL resonant cavity models according to claim 2,
It is characterized in that：The height of the resonant cavity model of the second detection group is 6cm in the step 1, and film thickness a is 0.4mm.
4. the research method described in accordance with the claim 1 that low frequency noise processing is carried out using COMSOL resonant cavity models,
It is characterized in that：In the step 2, first group, second group of experimental data are obtained using dual microphone.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110543669A (en) * | 2019-07-24 | 2019-12-06 | 华南理工大学 | Sound insulation simulation calculation method of acoustic metamaterial plate |
| CN110807288A (en) * | 2019-11-18 | 2020-02-18 | 重庆大学 | Customizable broadband efficient ventilation sound absorber finite element simulation and demonstration verification method |
| CN112651155A (en) * | 2020-12-19 | 2021-04-13 | 重庆大学 | Finite element simulation and demonstration verification method for ventilation self-adaptive low-frequency efficient sound absorber |
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| CN112651155A (en) * | 2020-12-19 | 2021-04-13 | 重庆大学 | Finite element simulation and demonstration verification method for ventilation self-adaptive low-frequency efficient sound absorber |
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| CN108344803B (en) | 2020-10-20 |
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