CN109119059A - A kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator - Google Patents
A kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator Download PDFInfo
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- CN109119059A CN109119059A CN201811107467.0A CN201811107467A CN109119059A CN 109119059 A CN109119059 A CN 109119059A CN 201811107467 A CN201811107467 A CN 201811107467A CN 109119059 A CN109119059 A CN 109119059A
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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
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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
Abstract
The present invention relates to a kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator, including multiple sequentially connected double negative acoustic metamaterial units, each double negative acoustic metamaterial units include a rear and front end open ended waveguide and at least a pair is connected in parallel on the Helmholtz acoustic resonator on waveguide-tube and coupled, the Helmholtz acoustic resonator and waveguide is tightly connected, formed be in fluid communication space compared with prior art, the present invention have many advantages, such as structure simply, DNG feature, high-efficient characteristic, explanation mechanism.
Description
Technical field
The present invention relates to acoustic function Material Fields, more particularly, to a kind of based on the double of Helmholtz acoustic resonator coupling
Negative acoustic metamaterial structure.
Background technique
Acoustic function material is a kind of sub-wavelength structure of manual construction, and the phenomenon that not having in traditional material may be implemented
And function, effectively regulate and control sound wave.Such as individually there is the structure born effect dynamic density or bear effect dynamic volume compressibility,
It is had been carried out in a variety of designs.Phenomena such as correlation effect such as acoustics super-resolution focus, Sound stealth and amplification evanescent wave, is also
It realizes in the lab.There is the material of negative effective mass density and negative effective volume compressibility simultaneously, can show
Negative index realizes super-resolution convergence, referred to as acoustics left-handed material.The porose pipeline of negative effective modulus is utilized in the lab
The acoustic function material with DNG feature is realized with effect density film combination of materials is born.However, this combination needs are mostly single
Member connection, and impedance matching and dissipation require further improvement.It realizes while having negative using the film coupling of negative effective density
Effective density and negative effective bulk modulus material are completed in laboratory.Due to this sealing structure, prevent to lead because of vibration
The fluid loss of cause flows into external fluid, realizes single-negative material coupling and generates double negative acoustic metamaterials, realize compared with
Few dissipation, transmission performance are promoted, however the resistance matching problem of film and air, the controllability of film, are needed further
It improves.Recently, using many-body scattering theory, break the space of acoustic resonator distribution and the symmetry of frequency, realize that effective mass is close
The acoustic metamaterial that degree and effective volume compressibility are negative simultaneously, and super-resolution prism has been built based on the structure, however, the material
Double minus zone bandwidth and the high efficiency needs of material further increase.
Summary of the invention
It is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide one kind to be based on Helmholtz
Double negative acoustic metamaterial structures of acoustic resonator coupling.
The purpose of the present invention can be achieved through the following technical solutions:
A kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator, including it is multiple sequentially connected double
Negative acoustic metamaterial unit, each double negative acoustic metamaterial units include a rear and front end open ended waveguide and at least it is a pair of simultaneously
It is associated on waveguide-tube and the Helmholtz acoustic resonator of coupling, the Helmholtz acoustic resonator and waveguide is tightly connected, shape
Communication space；
This pair of negative acoustic metamaterial structure is realized negative effective mass density by the Helmholtz acoustic resonator of coupling and is born
Volume compressibility is imitated, and to bear effect volume compressibility and negative effective mass density is overlapped in identical frequency band, by changing
Become the distance and resonant frequency on double negative acoustic metamaterial units between the Helmholtz acoustic resonator of two couplings, tunes double minus zones
Bandwidth and double minus zones position.
The waveguide is columnar one-dimensional wave guide, and two Helmholtz acoustic resonator in parallel are total with same basic
Vibration frequency.
The waveguide is circular two-dimensional waveguide.
The cylindrical neck portion that the Helmholtz acoustic resonator includes square cavity and connect with waveguide.
The Helmholtz acoustic resonator of the parallel connection has different basic resonant frequencies, by the way that different basic resonances are arranged
The Helmholtz acoustic resonator of frequency adjusts the eigenfrequency of double negative acoustic metamaterial structures.
When double negative acoustic metamaterial units are in intrinsic mode, two free interface acoustic pressure field distribution have two different
Space symmetr form, including same-phase distribution and reverse phase bit distribution.
The waveguide length is adjustable.
The Helmholtz acoustic resonator bilateral symmetry is distributed in the ipsilateral or heteropleural of waveguide central axes.
Compared with prior art, the invention has the following advantages that
One, structure is simple: the present invention is instead of original structure type using single acoustic resonator and film, by simple
Structure, provide one kind can be realized in limited tunable band have both negative effective mass density and bear effect body compression system
Several acoustic function material structures, the basic unit of the acoustic function material include that a waveguide and two are open at one end
Helmholtz acoustic resonator, when structure is in intrinsic mode, two free interface acoustic pressure field distribution have two different spaces pair
Title form (same-phase distribution and reverse phase bit distribution), effective mass density and effective volume compressibility can be measured directly from experiment
Transmission and reflection coefficient extract.
Two, DNG feature: functionally, it is coupled out negative effective mass density by Helmholtz resonator and makes
The frequency band of the two actual parameters is overlapped to be difficult to realize in research before, and the present invention can be real by Helmholtz resonator
Now negative effective volume compressibility, and can be by adjusting two Helmholtz coupled on double negative acoustic metamaterial units
Distance and resonant frequency between acoustic resonator realize the double negativity matter of single efficient broadband and the mostly double negativity matter of band.
Three, high-efficient characteristic: for existing double negative cellular constructions, this unit is using single negative super material of Helmholtz acoustic resonator
Material coupling realization is double negative, has good impedance matching with surrounding medium, to realize the high efficiency transmission of acoustic energy, reduces energy
Loss, much higher than double negative transmission values are realized using membrane material mode, be if double minus zones transmission in Fig. 4 a has been more than 90%
The application of double negative materials, provides a kind of efficient solutions.
Four, double negative mechanism are explained: double negative mechanism use eigen mode Expansion Theory, and explaining double bear well is by monopole
The principle that resonance and dipole resonance overlapping generate, mutually confirms, also demonstrating our coupled structures can with characteristic value simulation result
To form monopole resonance and two kinds of eigen modes of dipole resonance, and in certain band overlappings, the theoretical quantitative analysis of homogenization
Actual parameter requires structure dimension looser.
Detailed description of the invention
Fig. 1 is the equivalent circuit theoretical diagram of acoustic metamaterial unit.
Scheme the sectional view that (2a) is double negative acoustic metamaterial units.
Scheming (2b) is transmission and reflection coefficient and phase test figure.
Fig. 3 is the distribution situation of the sonic pressure field in intrinsic mode, wherein figure (3a) is sonic pressure field in 895.25Hz antiphase
Distribution, it is that same-phase is distributed that figure (3b), which be sonic pressure field in 1185.3Hz,.
Fig. 4 is structure transmission, reflected intensity and the phase result of emulation, experimental and theoretical computation.Scheming (4a) is transmission system
Several and phase result, figure (4b) are reflection coefficient and phase result, and figure (4c), which is that the experiment of actual parameter is counter, to be pushed away and theoretical calculation
As a result, figure (4d) is the expansion result that interface responds that Green's function presses intrinsic mode.
Fig. 5 is more Helmholtz acoustic resonator coupling conditions, wherein figure (5a) is experiment and theoretical effective mass density
With effective volume compressibility, scheming (5b) is experiment and theoretical transmission coefficient.
Fig. 6 is experiment, emulation and the theoretical effective mass density extracted and effective volume compressibility.
Specific embodiment
The present invention provides a kind of acoustic function material, is realized by the coupling of Helmholtz (Helmholtz) acoustic resonator negative
Effective mass density, and realize bear effect volume compressibility and negative effective mass density identical frequency band be overlapped.Of the invention
Structure is a kind of resonant structure with double negativity matter (double negativity).The structure of present disclosure provides can
To realize the acoustic equipment of the double negativity matter of single efficient broadband and the mostly double negativity matter of band in air-borne sound.
As shown in Figure 1, this pair of negative acoustic metamaterial structure realizes negative effective mass by the Helmholtz acoustic resonator of coupling
Density and effect volume compressibility is born, and to bear effect volume compressibility and negative effective mass the density weight in identical frequency band
It is folded.The principle is as follows:
The equivalent acoustic impedance of Helmholtz resonator isHelmholtz resonator
Nozzle equivalent sound mass Mh=ρoLeff/Sh, the equivalent acoustic capacitance C of the cavity of Helmholtz resonatorh=V/ ρ0c0, RhFor Helmholtz
The acoustic resistance of acoustic resonator, ω are resonant angular frequency, ρ0For atmospheric density, c0For THE VELOCITY OF SOUND IN AIR, V is the chamber of Helmholtz resonator
Body volume, SnIt is the cross-sectional area of Helmholtz resonator bore, Leff=l+ Δ l is that Helmholtz resonator nozzle is effectively long
Degree, Δ l are the equivalent same vibration quality generated due to acoustic irradiation.Z0=ρ0c0/ A is the distribution acoustic impedance of waveguide, and A is waveguide
Cross section.Ma=ρ0S/A is the coupling mass between two Helmholtz resonators, and s is the spacing of acoustic resonator.To obtain class Fano
Transmission spectrum, frequency of sound wave should be close to the resonant frequencies of acoustic resonator, therefore | Zh| < < lZ0|.So we can provide unit
Effective acoustic impedance are as follows:
The total transmissivity that such as generate Fano resonance must satisfy the impedance matching Z=Z of unit and air0, by matching item
It is 2Z that part, which can release double negative unit resonance conditions,h/Z0+ jks=0, as long as therefore meeting condition ks < < 1, the double negative acoustics of change
Distance s or change resonant frequency ω in metamaterial unit between the Helmholtz acoustic resonator of two couplings, can tune double minus zones
Bandwidth and double minus zones position.
Structure of the invention is as follows:
Figure (2a) illustrates the sectional view of structural unit.The figure shows include two mutually isostructural Helmholtz's sympathetic responses
The cylindrical waveguide of device and a connection.Waveguide and Helmholtz resonator are tightly connected, and two Helmholtz resonators are symmetrical
It is connected in parallel on pipeline side.
Embodiment 1:
As unrestricted example, the preferred parameter of one of functional structure of the present invention is as follows: cylindrical waveguide it is interior
Radius is R=15mm (outer wall thickness and material will guarantee rigid bounds condition), length L=100mm.Helmholtz's sympathetic response
The neck of device is cylinder open, inside radius R=5mm, height H=8mm, the inside cavity of acoustic resonator be 25mm × 25mm ×
The square of 25mm.The distance of two Helmholtz resonators is 50mm, and material can be any hard material.Transmission and reflection system
It is several as shown in schemed (2b) with phase test, it can be measured by " Br ü el and Kjaer type-4206 " acoustic impedance pipe.Front end
Plane wave is provided for loudspeaker, rear end is sound-absorbing material, is distributed four microphones before and after impedance tube.
It, can also be using difference in the present invention although describing the acoustic resonator of cylindrical waveguide and square cavity in this example
The pipeline of shape and Helmholtz (Helmholtz) acoustic resonator.Helmholtz resonator is also possible to different resonant frequencies simultaneously
, waveguide can also couple the acoustic resonator of multiple identical or different basic resonant frequencies.The basis of certain Helmholtz resonator
Resonant frequency and distance and the length of waveguide can be different, but cannot arbitrarily deploy, and to be allowed to sufficiently achieve coupling,
Realize the eigen mode overlapping of two free end acoustic pressure reverse phase of structure or simultaneous movements.
Fig. 3 presents the distribution situation of FEM calculation Fig. 2 structure sonic pressure field in intrinsic mode, and emulation comes from
COMOSOL Multiphysics finite element software calculates.It can be seen that figure (3a) is sonic pressure field in 895.25Hz antiphase point
Cloth, it is that same-phase is distributed that figure (3b), which be sonic pressure field in 1185.3Hz,.The intensity distribution of Color Bar expression sonic pressure field.
Fig. 4 presents emulation, structure transmission, reflected intensity and the phase of experimental and theoretical computation.Figure (4a) is shown
Coefficient and phase are penetrated, figure (4b) shows reflection coefficient and phase.The experiment that figure (4c) gives actual parameter counter pushes away and theoretical
Calculated result, gray area indicate double negative regions (bandwidth is about 50Hz).The calculated results indicate by solid line, experimental result
It is indicated with small circle, simulation result is indicated with small square.Theoretical and experimental results are shown in 859.25Hz and transmission peaks, phase occur
It should reflect and minimum occur, π transition occurs here in phase.Frequency corresponding to transmission peaks is just equal to Helmholtz sympathetic response
The eigenfrequency of device coupled system.It can be seen that notional result and experimental result of the invention are coincide fairly good.
Figure (4d) give interface response Green's function by intrinsic modal expanding as a result,For symmetric pattern (same to phase
Position),It is antisymmetric mode (antiphase).By scheming (4d) it is found that in the position 859.25HzDiverging,Zero crossing, at this moment
Effective mass density and effective volume compressibility are negative simultaneously.WhenNear 916Hz when zero crossing, double under laps terminate, into
Enter singly to bear effect volume compressibility area.It is double negative using mode expansion theoretical explanation, it is real based on the coupling of Helmholtz acoustic resonator
Dipole (Dipolar) resonance mode is showed, has introduced negative effective mass density, producing negative effective compressibility and negative has
Imitate the overlapping of mass density.
Embodiment 2:
Fig. 5 is that the example of more Helmholtz acoustic resonator couplings is given on the basis of Fig. 2 basic structure.Waveguide and
The parameter of Helmholtz acoustic resonator is identical with Fig. 1.As unrestricted example, the arrangement side of structure Helmholtz acoustic resonator
Formula non-helical can detour, the number of Helmholtz acoustic resonator can for more or less than 12, Helmholtz acoustic resonator
Shape can be non-square.The number of Helmholtz acoustic resonator will affect the bandwidth and efficiency of transmission of double minus zones.Figure (5a) is given
Go out experiment and theoretical effective mass density and effective volume compressibility: double negative zones that gray area is about 200Hz
Domain, the 50Hz bandwidth provided much larger than double Helmholtz acoustic resonator systems (as shown in figure (4c)).Figure (5b) depict experiment and
Theoretical transmission coefficient, grey area show that double minus zones realize efficient acoustic energy transmission.
Embodiment 3:
This example shows that the mostly double negative realities of band are realized in the Helmholtz acoustic resonator coupling based on different basic resonant frequencies
Example.As unrestricted example, the structure of the mostly double negative devices of band is given in Fig. 6, three pairs of Helmholtz acoustic resonator in parallel,
The basic resonant frequency of Helmholtz acoustic resonator is respectively H1=1000Hz, H3=1214Hz, H4=752Hz, waveguide parameter is not
Become.The coupling number of Hemholtz acoustic resonator can be more than or less than 3 pairs, and the basic resonant frequency of Hemholtz acoustic resonator can be with
Different H1, H3, H4, experiment, emulation and the theoretical effective mass density extracted and effective volume compressibility are given in Fig. 6, it is dark-grey
Color region is double minus zones, and light gray areas is traditional Shuan Zhengqu.It can be seen that coupled system forms the double minus zones of 3 bands, realize
Mostly double negative regions of band.
Claims (8)
1. a kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator, which is characterized in that including it is multiple successively
Double negative acoustic metamaterial units of connection, each double negative acoustic metamaterial units are including a rear and front end open ended waveguide and extremely
Few a pair is connected in parallel on waveguide-tube and the Helmholtz acoustic resonator of coupling, and the Helmholtz acoustic resonator and waveguide seal
Connection forms and space is in fluid communication；
This pair of negative acoustic metamaterial structure realizes negative effective mass density by the Helmholtz acoustic resonator of coupling and bears effect body
The compressed coefficient, and to bear effect volume compressibility and negative effective mass density is overlapped in identical frequency band, pass through change it is double
Distance and resonant frequency on negative acoustic metamaterial unit between the Helmholtz acoustic resonator of two couplings tune the band of double minus zones
The position of wide and double minus zones.
2. a kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator according to claim 1, special
Sign is that the waveguide is columnar one-dimensional wave guide, and two Helmholtz acoustic resonator in parallel resonate with same basic
Frequency.
3. a kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator according to claim 1, special
Sign is that the waveguide is circular two-dimensional waveguide.
4. a kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator according to claim 1, special
Sign is, the cylindrical neck portion that the Helmholtz acoustic resonator includes square cavity and connect with waveguide.
5. a kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator according to claim 1, special
Sign is that the Helmholtz acoustic resonator of the parallel connection has different basic resonant frequencies, by the way that different basic resonance frequencies are arranged
The Helmholtz acoustic resonator of rate adjusts the eigenfrequency of double negative acoustic metamaterial structures.
6. a kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator according to claim 5, special
Sign is, when double negative acoustic metamaterial units are in intrinsic mode, two free interface acoustic pressure field distribution have two different
Space symmetr form, including same-phase distribution and reverse phase bit distribution.
7. a kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator according to claim 1, special
Sign is that the waveguide length is adjustable.
8. a kind of double negative acoustic metamaterial structures based on the coupling of Helmholtz acoustic resonator according to claim 1, special
Sign is that the Helmholtz acoustic resonator bilateral symmetry is distributed in the ipsilateral or heteropleural of waveguide central axes.
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