CN110021287A - A kind of acoustic metamaterial - Google Patents
A kind of acoustic metamaterial Download PDFInfo
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- CN110021287A CN110021287A CN201810016561.9A CN201810016561A CN110021287A CN 110021287 A CN110021287 A CN 110021287A CN 201810016561 A CN201810016561 A CN 201810016561A CN 110021287 A CN110021287 A CN 110021287A
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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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Abstract
The invention discloses a kind of acoustic metamaterial, which includes: NgThe metamaterial unit of a periodic arrangement, wherein NgFor the integer more than or equal to 3;Wherein, each metamaterial unit includes: the subcycle unit of multiple periodic arrangements and each subcycle unit includes: two piezoelectric elements, and two piezoelectric elements on subcycle unit are connect with the Liang Ge branch of negative capacitance respectively.The present invention passes through NgThe metamaterial unit of a periodic arrangement, and each metamaterial unit includes multiple subcycle units, and two piezoelectric elements on every two subcycle unit are connect with the Liang Ge branch of negative capacitance respectively, to by utilizing the piezoelectricity Meta Materials for matching the negative capacitance circuit network of interconnection type can be with the antihunt circuit branch of less negative capacitance, in specific wider frequency section, especially low-frequency range generates fade performance better locally resonant forbidden band gap.
Description
Technical field
The present invention relates to Meta Materials fields, it particularly relates to a kind of acoustic metamaterial.
Background technique
In the existing piezoelectricity metamaterial structure based on negative capacitance technology, in metamaterial unit, because negative capacitance
The branch that branch is generally only connected separately to single piezoelectric patches or a negative capacitance be connected to collocated two panels piezoelectric patches it
Between, so the metamaterial unit of structure and subcycle unit are coincidences, though however, broadband may be implemented in this technical solution
Forbidden band performance, but with the subcycle element number in piezoelectricity Meta Materials be incremented by, applied to the negative electricity in metamaterial unit
Branch's number of appearance can also be incremented by therewith, thus in the electricity level of piezoelectricity Meta Materials, the electricity as caused by negative capacitance analog circuit
Risk of instability can also be incremented by.
For the problems in the relevant technologies, currently no effective solution has been proposed.
Summary of the invention
For the problems in the relevant technologies, the present invention proposes a kind of acoustic metamaterial, and the program is compared with the prior art
Piezoelectricity Meta Materials, can be with less negative capacitance by the piezoelectricity Meta Materials of the negative capacitance circuit network using pairing interconnection type
Antihunt circuit branch, in specific wider frequency section, especially low-frequency range is generated between the better locally resonant forbidden band of fade performance
Gap.
The technical scheme of the present invention is realized as follows:
According to an aspect of the invention, there is provided a kind of acoustic metamaterial, which includes: NgA period row
The metamaterial unit of column, wherein NgFor the integer more than or equal to 3;Wherein, each metamaterial unit includes: multiple period rows
The subcycle unit of column and each subcycle unit include: two piezoelectric elements, and two piezoelectricity members on subcycle unit
Part is connect with the Liang Ge branch of negative capacitance respectively.
According to one embodiment of present invention, subcycle unit includes: the base beam element of two parallel arrangeds, and each
A piezoelectric element is bonded on base beam element.
According to one embodiment of present invention, the same side of base beam element is arranged in piezoelectric element and negative capacitance.
According to one embodiment of present invention, the length of piezoelectric element is less than the length of base beam element.
According to one embodiment of present invention, the interval between two adjacent piezoelectric elements is equal.
According to one embodiment of present invention, in the identical situation of polarization direction of two piezoelectric elements, two piezoelectricity
Element forms PP type subcycle unit;And in the case where the polarization direction of two piezoelectric elements is opposite, two piezoelectric elements
Form PN type subcycle unit.
According to one embodiment of present invention, the multiple that the quantity of subcycle unit is 2, two adjacent subcycle units
It include: first kind periodic unit, Second Type periodic unit, third type periodic unit;Wherein, first kind periodic unit
It include: two PP type subcycle units, Second Type periodic unit includes: two PN type subcycle units, third type period
Unit includes: a PP type subcycle unit and a PN type subcycle unit.
According to one embodiment of present invention, the quantity of piezoelectric element is twice of the quantity of negative capacitance.
According to one embodiment of present invention, the material of base beam element is elastic material.
According to one embodiment of present invention, the interval between two adjacent negative capacitances is equal.
The beneficial technical effect of the present invention lies in:
The present invention passes through NgThe metamaterial unit of a periodic arrangement and each metamaterial unit include multiple subcycle lists
Member, and two piezoelectric elements on every two subcycle unit are connect with the Liang Ge branch of negative capacitance respectively, to pass through utilization
The piezoelectricity Meta Materials for matching the negative capacitance circuit network of interconnection type can be with the antihunt circuit branch of less negative capacitance, specific
In wider frequency section, especially low-frequency range generates fade performance better locally resonant forbidden band gap.
Detailed description of the invention
It in order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, below will be to institute in embodiment
Attached drawing to be used is needed to be briefly described, it should be apparent that, the accompanying drawings in the following description is only some implementations of the invention
Example, for those of ordinary skill in the art, without creative efforts, can also obtain according to these attached drawings
Obtain other attached drawings.
Fig. 1 is the schematic diagram of acoustic metamaterial according to an embodiment of the present invention;
Fig. 2 is the schematic diagram of the realization circuit of negative capacitance according to an embodiment of the present invention;
Fig. 3 is the schematic diagram of the attenuation coefficient of Meta Materials according to a first embodiment of the present invention under different circuits;
Fig. 4 is the schematic diagram of the vibration transmission rate of Meta Materials according to a first embodiment of the present invention under different circuits;
Fig. 5 is the schematic diagram of attenuation coefficient of the Meta Materials under different circuits according to a second embodiment of the present invention;
Fig. 6 is the schematic diagram of vibration transmission rate of the Meta Materials under different circuits according to a second embodiment of the present invention.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, those of ordinary skill in the art's every other embodiment obtained belong to what the present invention protected
Range.
According to an embodiment of the invention, providing a kind of acoustic metamaterial, which includes multiple periodic arrangements
Metamaterial unit.
As shown in Figure 1, Meta Materials according to an embodiment of the present invention include: NgThe metamaterial unit of a periodic arrangement, wherein
NgFor the integer more than or equal to 3;Wherein, each metamaterial unit includes: the subcycle unit of multiple periodic arrangements, and every
A sub- periodic unit includes two piezoelectric elements, and two piezoelectric elements on subcycle unit, two points with negative capacitance respectively
Branch connection.
By means of technical solution of the present invention, pass through NgThe metamaterial unit of a periodic arrangement and each Meta Materials list
Member include multiple subcycle units, and two piezoelectric elements on every two subcycle unit respectively with the Liang Ge branch of negative capacitance
Connection, thus can be with the damping of less negative capacitance by the piezoelectricity Meta Materials of the negative capacitance circuit network using pairing interconnection type
Circuit branch, in specific wider frequency section, especially low-frequency range generates fade performance better locally resonant forbidden band gap.
In order to preferably describe technical solution of the present invention, it is described in detail below by specific embodiment.
The invention proposes a kind of acoustic metamaterials, and in existing Meta Materials technology, negative capacitance is generally only connected separately to
The branch of single piezoelectric patches or a negative capacitance is connected between the two panels piezoelectric patches of collocated, thus metamaterial unit weight
Together in subcycle unit, it is different from the prior art, in the present invention, which includes: the super material of multiple periodic arrangements
Material unit, each metamaterial unit includes: at least two subcycle unit, and each subcycle unit includes: two piezoelectricity members
Part, and every two piezoelectric element is connect with the Liang Ge branch of negative capacitance respectively, i.e. negative capacitance a branch and a piezoelectric element
Connection.
As shown in Figure 1, the acoustic metamaterial include: metamaterial unit L ..., metamaterial unit i ..., metamaterial unit
Ng, and each metamaterial unit includes: the subcycle unit 6 of multiple periodic arrangements, and multiple subcycle units 6 are mutual by pairing
Connection formula circuit network 5 is matched.
In addition, in order to preferably describe the specific structure of above-mentioned pairing interconnection type circuit network 5, below with metamaterial unit
It is illustrated for i, with continued reference to the dotted portion of Fig. 1, metamaterial unit i includes the subcycle unit of two parallel arrangeds
6, and each subcycle unit 6 include: two parallel arrangeds base beam element 7 and each base beam element 7 on be bonded with
One piezoelectric element, that is to say, that metamaterial unit includes two piezoelectric elements, and two piezoelectric elements are respectively with one
The branch of negative capacitance Z connects, i.e., above-mentioned two subcycle unit 6 respectively include: the first piezoelectric element 1 and the second piezoelectric element 2,
Third piezoelectric element 3 and the 4th piezoelectric element 4, meanwhile, the polarization direction of the piezoelectric element in the subcycle unit 6 can it is identical or
Difference, for example, according to one embodiment of present invention, about in a sub- periodic unit 6 in above-mentioned two subcycle unit 6
The first piezoelectric element 1 it is identical with the polarization direction of the second piezoelectric element 2, meanwhile, two piezoelectricity members in the subcycle unit
Outside part depolarization direction, remaining parameter is all the same.In addition, base beam element 7 is elastic material, for example, one according to the present invention
Embodiment, the base beam unit can be resin material or metal material, and this is not limited by the present invention.In addition, though Fig. 1 is shown
, metamaterial unit i has two sub- periodic units 6, but those skilled in the art can be according to actual needs to Meta Materials
The quantity of subcycle unit 6 in unit i is configured, for example, according to one embodiment of present invention, metamaterial unit i
It include: the subcycle unit 6 of 4 periodic arrangements, the present invention is also not construed as limiting this.
In addition, each piezoelectric element includes: the electrode of top and bottom two, so that each piezoelectric element has corresponding polarization
Direction, for example, according to one embodiment of present invention, using the contact surface of third piezoelectric element 3 and base beam element 7 as third pressure
The bottom surface of electric device 3, it is corresponding, using the opposite side in the bottom surface of third piezoelectric element 3 as top surface, thus in third piezoelectricity member
The top surface of part 3 is positive electrode and in the case that bottom surface is negative electrode, and the polarization direction of the third piezoelectric element 3 is positive polarization direction
(or p-type piezoelectric element), in addition, this in the case where the top surface of third piezoelectric element 3 is negative electrode and bottom surface is positive electrode
The polarization direction of three piezoelectric elements 3 is negative polarization direction (or N-type piezoelectric element).Meanwhile the piezoelectricity in each subcycle unit 6
The quantity of element is twice of the quantity of negative capacitance Z, thus according to the polarization of the pairing mutual contact mode and piezoelectric element of negative capacitance Z
The difference in direction so that negative capacitance Z branch's number not only be made to halve in the application of piezoelectricity Meta Materials in this way, but also makes institute in branch
The negative electricity capacitance needed also halves.In addition, conventionally, as negative capacitance Z damping vibration control circuit uses excessive, appearance
Easily there is unstable working condition, so reducing negative capacitance Z branch, also implies that and improve piezoelectricity Meta Materials in electricity level
Stability.In addition, of course it is to be understood that those skilled in the art can select different pairing interconnection sides according to actual needs
Formula, which is not limited by the present invention.
In addition, with continued reference to Fig. 1, in x1On direction, the length of piezoelectric element is greater than the length of negative capacitance Z, thus each
There is gap between piezoelectric element on periodic unit, meanwhile, in x2On direction, the height of piezoelectric element is greater than negative capacitance Z's
Highly.In addition, of course it is to be understood that the gap between the gap between the piezoelectric element and negative capacitance Z can be according to actual needs
It is configured, for example, according to one embodiment of present invention, including the case where 12 sub- periodic units 6 in metamaterial unit i
Under, the interval between two adjacent piezoelectric elements is equal and two adjacent negative capacitance Z between interval it is equal, this hair
It is bright not limit this.
In addition, the metamaterial unit includes that (each minimum period unit includes a pressure to positive even numbers minimum period unit
Electric device and a base beam element 7), so that even number minimum period unit can be by using the pairing in technical solution of the present invention
Mode carries out the pairing of piezoelectric unit, and then when the polarization direction of the piezoelectric element on every two minimum period unit is identical,
The two piezoelectric elements composition PP type subcycle unit being connect with negative capacitance Z, and the piezoelectricity member on every two periodic unit
When the polarization direction of part is opposite, two piezoelectric elements connecting with negative capacitance Z form PN type subcycle unit.
In addition, according to the difference of piezoelectric patches polarization direction in minimum period unit and negative capacitance Z connection type, it can be by it
The Meta Materials of the type that is divided into three classes pairing interconnection type negative capacitance piezoelectricity girder construction: PPPP type (or first kind periodic unit), PNPN
Type (or third type periodic unit) and PPPN type (or Second Type periodic unit).As described before, when adjacent two most
When the polarization direction of piezoelectric patches is identical in minor cycle unit, collectively constituted by the two minimum period units that negative capacitance interconnects
PP type locally resonant subcycle unit;When the polarization direction of piezoelectric patches in two adjacent minimum period units is opposite, by bearing
The two minimum period units of capacitor interconnection have collectively constituted PN type locally resonant subcycle unit, so that the PPPP type period is single
Member is made of two PP type subcycle units, and PNPN type periodic unit is made of two PN type subcycle units, the PPPN type period
Unit is made of a PP type subcycle unit and a PN type subcycle unit.
In addition, around the forbidden band of periodic unit, than in wider frequency range, the acoustics of piezoelectricity girder construction proposed by the present invention
Meta Materials can obtain locally resonant forbidden band more better than prior art fade performance.
With continued reference to Fig. 2, the realization circuit of the negative capacitance are as follows: the input terminal of negative capacitance Z respectively with one end of capacitor C, fortune
The normal phase input end connection of amplifier is calculated, the output end of operational amplifier connects with one end of the other end of capacitor C, resistance R2 respectively
It connects, the reverse input end of operational amplifier is connected with one end of the other end of resistance R2, resistance R1 respectively, the other end of resistance R1
It is connected respectively with ground wire with the output end of negative capacitance, wherein I, V, Cn respectively indicate the input current of negative capacitance Z, voltage and electricity
Hold.Meanwhile the value C of negative capacitancenIt can be taken as:
Wherein, R1Indicate the resistance value of resistance R1, R2Indicate the resistance value of resistance R2, C indicates the capacitance of capacitor C.
In order to analyze the forbidden band characteristic of the acoustic metamaterial, a metamaterial unit is chosen below and finite element is carried out to it
Modeling.Assuming that this metamaterial unit can be divided into n finite element, and girder construction meets euler beam it is assumed that then in a super material
Mechanical-electric coupling relationship in material unit can be divided into:
Wherein [M], [C], [K] respectively represent quality, damping and stiffness matrix.diAnd PiIt is all the matrix that 2 (n+1) multiply 1,
It respectively represents in i-th (1 < i < Ng) displacement (and speed) of finite element node all in a metamaterial unit, power (and torque)
Vector.VP iAnd QiBelong to 4 matrixes for multiplying 1, respectively represents the voltage and the quantity of electric charge of 4 piezoelectric patches in metamaterial unit.B1Belong to 2
(n+1) matrix for multiplying 4, represents energy converting between mechanical, can indicate are as follows:
B1=[B11 B12 B13 B14]
In addition, matrix B relevant to piezoelectricity energy converting between mechanical2, B3It can indicate are as follows:
Assuming that matrix A=- ω2M+j ω C+K represents dynamic stiffness matrix, and wherein ω is angular frequency, and j is imaginary symbols, M,
C and K respectively represents quality, damping and stiffness matrix, then the electricity and kinetics relation in metamaterial unit, can indicate are as follows:
Wherein,For in metamaterial unit 4 piezoelectric patches export electric current moment matrix, and
On this basis, the mechanical-electric coupling relationship that can be summarised in a metamaterial unit:
As shown in Figure 1, in metamaterial unit, wherein IM1To flow through the first piezoelectric patches 1 of connection and 2 access of the second piezoelectric patches
Electric current,For the magnitude of current flowed out from the first piezoelectric patches 1,For the magnitude of current flowed out from the second piezoelectric patches 2, IM2To flow through
The magnitude of current of third piezoelectric patches 3 and 4 access of the 4th piezoelectric patches is connected,For the magnitude of current flowed out from third piezoelectric patches 3,For
The magnitude of current flowed out from the 4th piezoelectric patches 4,The voltage of the first piezoelectric patches 1 is represented,The voltage of the second piezoelectric patches 2 is represented,The voltage of third piezoelectric patches 3 is represented,The voltage of the 4th piezoelectric patches 4 is represented, Z is the impedance of negative capacitance Z.
So in periodic unit 4 piezoelectric elements voltage Vp iIt can indicate are as follows:In addition, B6Are as follows:
And then the dynamic relationship in available metamaterial unit can indicate are as follows:
{Pi}=[Aadjacent]{di}=[A+B1B6]{di}
Wherein, Aadjacent represents the dynamic stiffness matrix of metamaterial unit.
According to above dynamic relationship, then pass through transfer matrix method, so that it may be calculated elastic wave attenuation coefficient and
Phase coefficient will be given below embodiment and be subject to analytic explanation to obtain the forbidden band of the structure.
In addition, corresponding three classes (PPPP, PNPN and PPPN type) acoustic metamaterial, correspondence gives three implementations individually below
Example.As shown in following Tables 1 and 2, the parameter of practical beam and piezoelectric patches needed for embodiment is given.
Table 1
Table 2
According to the transfer matrix of parameter and structure, the forbidden band of available embodiment periodic unit is distributed.Assuming that in negative electricity
Hold be applied independently in monolithic piezoelectric on piece metamaterial structure (negative capacitance be independently connected monolithic piezoelectric element when, negative electricity capacitance
Cneg ind=Cn) in, negative electricity capacitance CnWith the natural capacity value C of piezoelectric element0Ratio be Er=Cneg ind/C0=Cn/C0.In order to
Justice relatively, negative capacitance match interconnection type piezoelectric beam structure metamaterial (negative capacitance connect adjacent two piezoelectric element when, negative capacitance
Value Cneg int=Cn/ 2) in, negative electricity capacitance CnWith the natural capacity C of the concatenated piezoelectric patches of two panelsneg intRatio be also equal to Er=
Cneg int/C0=2Cn/C0, so Cneg int=Cneg ind/2。
In addition, as shown in Figure 3 and Figure 4, choosing capacity ratio Er=-1.1, resistance Rneg=641 Ω have the PPPP type period
Having for the locally resonant type forbidden band gap-ratio prior art that the acoustic metamaterial of unit generates between 3.5kHz to 10kHz is only
The forbidden band gap effect that the piezoelectricity Meta Materials of vertical negative capacitance circuit network generate is more preferable.Meanwhile the acoustics with PPNP type is super
The low frequency locally resonant type forbidden band gap-ratio prior art that material generates between 0.35kHz to 0.5kHz is born with stand alone type
The forbidden band gap effect that the piezoelectricity Meta Materials of condenser network network generate is more preferable.
In addition, as shown in Figure 5 and Figure 6, with resistance value RnegIncrease, what acoustic metamaterial with PPPP type generated
Forbidden band gap better than free-standing negative capacitance type piezoelectricity Meta Materials is more and more wider, but attenuating reduces relatively.In addition to this
It can be seen that the low frequency locally resonant type forbidden band gap-ratio that the acoustic metamaterial with PNPN type is generated in 0.5kHz to 1.8kHz
The forbidden band gap effect that free-standing negative capacitance type piezoelectricity Meta Materials generate is more preferable.
In addition, all acoustic metamaterials with negative electricity content network are with resistance value RnegIncreasingly level off to 0, capacity ratio
Increasingly level off to -1, the locally resonant forbidden energy gap performance of generation is more and more excellent.On the whole, compared with the prior art
Piezoelectricity Meta Materials with free-standing negative capacitance circuit network, the acoustic metamaterial of PPPP type is near Bragg forbidden band
(7.1kHz-8kHz) can generate better forbidden band crossbreeding effect (between locally resonant forbidden band and Bragg forbidden band).PNPN type
Acoustic metamaterial (0Hz-4kHz) in middle low-frequency range can generate better low frequency locally resonant forbidden band gap.In addition to this,
The acoustic metamaterial of PPNP type can generate the global optimum's effect for being only second to the piezoelectricity Meta Materials of free-standing negative capacitance circuit network.
In conclusion passing through N by means of above-mentioned technical proposal of the inventiongThe metamaterial unit of a periodic arrangement, and
Each metamaterial unit includes multiple subcycle units, and two piezoelectric elements on every two subcycle unit respectively with negative electricity
The Liang Ge branch of appearance connects, thus can be with less by the piezoelectricity Meta Materials of the negative capacitance circuit network using pairing interconnection type
The antihunt circuit branch of negative capacitance, in specific wider frequency section, especially low-frequency range, the generation better local of fade performance are total
Shake forbidden band gap.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention
Within mind and principle, any modification, equivalent replacement, improvement and so on be should all be included in the protection scope of the present invention.
Claims (10)
1. a kind of acoustic metamaterial, which is characterized in that the acoustic metamaterial includes: NgThe metamaterial unit of a periodic arrangement,
In, NgFor the integer more than or equal to 3;
Wherein, each metamaterial unit includes: the subcycle unit of multiple periodic arrangements and each subcycle unit includes:
Two piezoelectric elements, and two piezoelectric elements on the subcycle unit are connect with the Liang Ge branch of negative capacitance respectively.
2. acoustic metamaterial according to claim 1, which is characterized in that the subcycle unit includes:
A piezoelectric element is bonded on the base beam element and each base beam element of two parallel arrangeds.
3. acoustic metamaterial according to claim 2, which is characterized in that the piezoelectric element and negative capacitance setting exist
The same side of the base beam element.
4. acoustic metamaterial according to claim 2, which is characterized in that the length of the piezoelectric element is less than the Ji Liang
The length of unit.
5. acoustic metamaterial according to claim 2, which is characterized in that between two adjacent piezoelectric elements
Every equal.
6. acoustic metamaterial according to claim 1, which is characterized in that in the polarization direction phase of two piezoelectric elements
With in the case where, two piezoelectric elements form PP type subcycle unit;And in the polarization side of two piezoelectric elements
In the case where opposite, two piezoelectric elements form PN type subcycle unit.
7. acoustic metamaterial according to claim 6, which is characterized in that the multiple that the quantity of the subcycle unit is 2,
Two adjacent subcycle units include: first kind periodic unit, Second Type periodic unit, third type period list
Member;
Wherein, the first kind periodic unit includes: two PP type subcycle units, the Second Type periodic unit
It include: two PN type subcycle units, the third type periodic unit includes: described in a PP type subcycle unit and one
PN type subcycle unit.
8. acoustic metamaterial according to claim 1, which is characterized in that the quantity of the piezoelectric element is the negative capacitance
Twice of quantity.
9. acoustic metamaterial according to claim 2, which is characterized in that the material of the base beam element is elastic material.
10. acoustic metamaterial according to claim 7, which is characterized in that between two adjacent negative capacitances
Every equal.
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