CN110021287A - A kind of acoustic metamaterial - Google Patents

A kind of acoustic metamaterial Download PDF

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Publication number
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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unit
subcycle
type
negative capacitance
metamaterial
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不公告发明人
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Shenzhen Guangqi Sophisticated Technique LLC
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Shenzhen Guangqi Sophisticated Technique LLC
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Priority to CN201810016561.9A priority Critical patent/CN110021287A/en
Priority to PCT/CN2018/125128 priority patent/WO2019134600A1/en
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    • GPHYSICS
    • G10MUSICAL INSTRUMENTS; ACOUSTICS
    • G10KSOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
    • G10K11/00Methods 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
    • G10K11/16Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
    • G10K11/172Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using resonance effects

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Acoustics & Sound (AREA)
  • Multimedia (AREA)
  • Piezo-Electric Transducers For Audible Bands (AREA)

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

A kind of acoustic metamaterial
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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CN112610646A (en) * 2020-11-10 2021-04-06 武汉第二船舶设计研究所(中国船舶重工集团公司第七一九研究所) Active and passive metamaterial vibration isolation method for structural coupling patch
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