CN105304076A - Two-dimension acoustic meta-material selectively absorbing mechanical wave and preparation method thereof - Google Patents
Two-dimension acoustic meta-material selectively absorbing mechanical wave and preparation method thereof Download PDFInfo
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- 239000000463 material Substances 0.000 title claims abstract description 47
- 238000002360 preparation method Methods 0.000 title claims abstract description 16
- 239000002184 metal Substances 0.000 claims abstract description 21
- 239000000696 magnetic material Substances 0.000 claims description 49
- 239000006096 absorbing agent Substances 0.000 claims description 14
- 230000000737 periodic effect Effects 0.000 claims description 8
- 108060009332 TRPP Proteins 0.000 claims description 7
- 239000011159 matrix material Substances 0.000 claims description 6
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Abstract
Disclosed are a two-dimension acoustic meta-material selectively absorbing mechanical waves and a preparation method thereof. The two-dimension acoustic meta-material comprises FRPP flat plates, rubber films, concentrated mass blocks and metal pads. Two FRPP flat plates are adopted to clamp the rubber films, the center of each rubber film at the opening of each FRPP flat plate is provided with one concentrated mass block, and mechanical waves with specific frequency can be selectively absorbed by selecting the concentrated mass blocks in a targeted manner. Magnetic blocks are employed to serve as the concentrated mass blocks, each magnetic block is disposed in the middle of one side of each corresponding rubber film, and one metal pad is disposed in the middle of the other side of the corresponding rubber film, so one corresponding concentrated mass block can be fixed to the surface of the corresponding film, and the performance of the rubber films is prevented from being affected by external boundaries caused by bonding. The two-dimension acoustic meta-material can absorb mechanical waves in a vertical direction, has a simple structure, is well designed, and is convenient to achieve.
Description
Technical field
The present invention relates to acoustic metamaterial technical field, particularly a kind of Two Dimensional Acoustic Meta Materials to mechanical wave Selective absorber and preparation method thereof.
Background technology
Below background of related of the present invention is described, but these explanations might not form prior art of the present invention.
The concept of acoustic metamaterial is proposed when studying local resonance acoustical material by people such as Liu at first, and they discuss the acoustic metamaterial with negative effective bulk modulus from many aspects such as theory, numerical simulation and experiments.The concept of the effective mass that Li and Chan application Berryman proposes and effective density, obtains and has effective bulk modulus and the conclusion of effective mass density simultaneously for bearing.The negative mass density obtained means, if the direction of the acting force in lumped mass left, the acceleration direction in lumped mass so obtained then to the right.Due to the singularity of material structure, just contrary with the direction of the acceleration produced above lumped mass in the direction macroscopically obtaining acting force conclusion.
The Meta Materials of the one dimension rod structure that focuses mostly on greatly to acoustic metamaterial at present, the cell element microstructure used in these one dimension Meta Materials is made up of lumped mass and desirable spring usually.This cell element microstructure can produce an Effective band gap, makes the sound wave in some frequency ranges cannot forward direction.On this Research foundation, the present invention proposes a kind of novel two-dimentional metamaterial flat, slab construction can absorb the mechanical wave vertical with plate direction.
Summary of the invention
The object of the invention is to propose a kind of Two Dimensional Acoustic Meta Materials to mechanical wave Selective absorber and preparation method thereof, Two Dimensional Acoustic Meta Materials according to the present invention can absorb the mechanical wave of vertical direction, and structure is simple, designability is good, be convenient to realization.
According to an aspect of the present invention, a kind of Two Dimensional Acoustic Meta Materials to mechanical wave Selective absorber is provided, comprises: two pieces of TRPPs two pieces of TRPP FRPP flat boards, rubber film, lumped mass block and metal patches; Wherein,
Described FRPP flat board is provided with the opening of periodic arrangement, between two pieces of described FRPP flat boards, clamps rubber film;
Lumped mass block and metal patch are arranged on the center of the rubber film of each opening part, wherein, lumped mass block is piece of magnetic material and is arranged on the center of rubber film side, metal patch is arranged on the center of rubber film opposite side, and all lumped mass blocks are positioned at the same side of described FRPP flat board.
Preferably, described opening is square aperture, and described square aperture is matrix arrangement, and described square aperture is of a size of 60mm × 60mm, and the spacing between adjacent two described openings is 25mm.
Preferably, the equivalent stiffness of the described rubber film of each opening part is:
The quality of the described rubber film of each opening part is:
m
1=f(ρ,l,d,e)
In formula,
for the equivalent stiffness of the rubber film of each opening part, unit is: N/m; ρ is the density of rubber film, and unit is: kg/m
3; E is the Young modulus of rubber film, and unit is: N/m
2; L is the length of rubber film, and unit is: mm; D is the width of rubber film, and unit is: mm; E is the thickness of rubber film, and unit is: mm; m
1for the quality of the rubber film of each opening part, unit is: kg.
Preferably, the piece of magnetic material of each opening part and the equivalent mass of rubber film are:
The quality of the piece of magnetic material of each opening part is:
In formula,
for the piece of magnetic material of each opening part and the equivalent mass of rubber film, unit is: kg; Ω is mechanical wave frequency to be absorbed, and unit is: Hz; m
2for the quality of the piece of magnetic material of each opening part, unit is: kg.
Preferably, described FRPP flat board is of a size of 380mm × 380mm, FRPP flat board described in every block is provided with 16 or 20 square aperture.
According to another aspect of the present invention, a kind of preparation method of the Two Dimensional Acoustic Meta Materials to mechanical wave Selective absorber is provided, comprises:
S1, the opening of periodic arrangement is set at TRPP FRPP flat board, utilizes two blocks of described FRPP flat board clamping rubber films;
S2, piece of magnetic material is set at the center of the side of the rubber film of each opening part, metal patch is set at the center of the opposite side of the rubber film of each opening part, and all piece of magnetic material is positioned at the same side of described FRPP flat board.
Preferably, described opening is square aperture, and described square aperture is matrix arrangement, and described square aperture is of a size of 60mm × 60mm, and the spacing between adjacent two described openings is 25mm.
Preferably, taking a step forward of step S2 comprises:
Quality and the equivalent stiffness of each opening part rubber film is determined according to the Young modulus of the density of rubber film and each opening part rubber film, length, width and thickness;
Wherein, the equivalent stiffness of the described rubber film of each opening part is:
The quality of the described rubber film of each opening part is:
m
1=f(ρ,l,d,e)
In formula,
for the equivalent stiffness of the rubber film of each opening part, unit is: N/m; ρ is the density of rubber film, and unit is: kg/m
3; E is the Young modulus of rubber film, and unit is: N/m
2; L is the length of rubber film, and unit is: mm; D is the width of rubber film, and unit is: mm; E is the thickness of rubber film, and unit is: mm; m
1for the quality of the rubber film of each opening part, unit is: kg.
Preferably, taking a step forward of step S2 comprises: according to the equivalent stiffness of mechanical wave frequency to be absorbed and rubber film, determine the piece of magnetic material of each opening part and the equivalent mass of rubber film; The piece of magnetic material of each opening part and the equivalent mass of rubber film are:
Taking a step forward of step S2 comprises: based on the quality of described equivalent mass and each opening part rubber film, determine the quality of the piece of magnetic material of each opening part; The quality of the piece of magnetic material of each opening part is:
In formula,
for the piece of magnetic material of each opening part and the equivalent mass of rubber film, unit is: kg; Ω is mechanical wave frequency to be absorbed, and unit is: Hz; m
2for the quality of the piece of magnetic material of each opening part, unit is: kg.
Preferably, described FRPP flat board is of a size of 380mm × 380mm, FRPP flat board described in every block is provided with 16 or 20 square aperture.
According to the Two Dimensional Acoustic Meta Materials to mechanical wave Selective absorber of the present invention, comprising: FRPP flat board, rubber film, lumped mass block and metal patch; Wherein, described FRPP flat board is provided with the opening of periodic arrangement, between two pieces of FRPP flat boards, clamps rubber film; Lumped mass block and metal patch are arranged on the center of the rubber film of each opening part, wherein, lumped mass block is piece of magnetic material and is arranged on the center of rubber film side, metal patch is arranged on the center of rubber film opposite side, and all lumped mass blocks are positioned at the same side of FRPP flat board.The present invention is clamped rubber films by employing two pieces of FRPP flat boards and is arranged lumped mass block at the center of the rubber film of each opening part of FRPP flat board, make acoustic metamaterial have acoustic vibration pattern and the optical vibration mode of quality-spring microstructure, can realize carrying out Selective absorber to the mechanical wave of characteristic frequency by mass in choice set targetedly; By using piece of magnetic material as lumped mass block, piece of magnetic material is arranged on the center of rubber film side and metal patch is set at the center of rubber film opposite side, lumped mass block can be fixed on film surface, avoid owing to pasting the outer boundary that brings to the impact of rubber film performance.According to Two Dimensional Acoustic Meta Materials of the present invention, the mechanical wave of vertical direction can be absorbed, and structure is simple, designability is good, be convenient to realization.
Present invention also offers a kind of preparation method of Two Dimensional Acoustic Meta Materials, this preparation method has all beneficial effects of above-mentioned Two Dimensional Acoustic Meta Materials.
Accompanying drawing explanation
By the embodiment part provided referring to accompanying drawing, the features and advantages of the present invention will become easier to understand, in the accompanying drawings:
Fig. 1 illustrates the structural representation according to the Two Dimensional Acoustic Meta Materials to mechanical wave Selective absorber of the present invention;
Fig. 2 illustrates lumped mass block according to Two Dimensional Acoustic Meta Materials of the present invention and metal patch cut-open view;
Fig. 3 is the mechanical model schematic diagram according to Two Dimensional Acoustic Meta Materials of the present invention;
Fig. 4 is the sweep check curve of Two Dimensional Acoustic Meta Materials according to the preferred embodiment of the invention;
Fig. 5 be according to the preferred embodiment of the invention Two Dimensional Acoustic Meta Materials in the vibration shape of 67.5Hz;
Fig. 6 be according to the preferred embodiment of the invention Two Dimensional Acoustic Meta Materials in the vibration shape of 157.5Hz.
Embodiment
With reference to the accompanying drawings illustrative embodiments of the present invention is described in detail.Be only for demonstration object to the description of illustrative embodiments, and be never the restriction to the present invention and application or usage.
See Fig. 1,2, the Two Dimensional Acoustic Meta Materials to mechanical wave Selective absorber according to the present invention comprises: two pieces of TRPP FRPP flat boards 1, rubber film 2, lumped mass block 3 and metal patches 4.FRPP flat board is provided with the opening of periodic arrangement, between two pieces of FRPP flat boards, clamps rubber film; Lumped mass block and metal patch are arranged on the center of the rubber film of each opening part, lumped mass block is arranged on the center of rubber film side, metal patch is arranged on the center of rubber film opposite side, and all piece of magnetic material are positioned at the same side of described FRPP flat board.Can spring being equivalent to by the rubber film 2 of dull and stereotyped 1 clamping of two pieces of FRPP, by regulating the method for clamping between two blocks of FRPP plates 1, the rubber film 2 with different elasticity coefficient can being obtained.
FRPP flat board 1 is provided with the opening of periodic arrangement, the shape of opening can be circular or polygon, the arrangement mode of opening also can be determined according to actual needs, the size of square aperture is different, and the elastic parameter of each square aperture place rubber film is different, according to a preferred embodiment of the invention, opening is square aperture, square aperture is matrix arrangement, and square aperture is of a size of 60mm × 60mm, and the spacing between adjacent two openings is 25mm.Preferably, FRPP flat board is of a size of 380mm × 380mm, and every block FRPP flat board is provided with 16 or 20 square aperture.
In prior art, the many modes by pasting of lumped mass block are fixed on rubber film.But adopt the acoustic metamaterial of this fixed form, pasting the outer boundary brought can have an impact to the performance of rubber film.In order to address this problem, according to Two Dimensional Acoustic Meta Materials of the present invention, lumped mass block is piece of magnetic material, by piece of magnetic material being arranged on the center of rubber film side and arranging metal patch at the center of rubber film opposite side, lumped mass block can be fixed on film surface, avoid owing to pasting the outer boundary that brings to the impact of rubber film performance, structure is simple, designability good, be convenient to realize.
The present invention is clamped rubber film 2 by employing two pieces of FRPP dull and stereotyped 1 and is arranged lumped mass block 3 at the center of the rubber film 2 of each opening part of FRPP flat board 1, make Two Dimensional Acoustic Meta Materials have acoustic vibration pattern and the optical vibration mode of quality-spring microstructure, can realize carrying out Selective absorber to the mechanical wave of characteristic frequency by mass in choice set targetedly.Fig. 3 shows the mechanical model schematic diagram according to Two Dimensional Acoustic Meta Materials of the present invention.When quality-spring microstructure is subject to the incentive action of resonance power F, its vibration mode comprises acoustic vibration pattern and optical vibration mode, and the displacement of rubber film is u
1, the displacement of lumped mass block is u
2.Under optical vibration mode, due to u
2vibration phase and u
1vibration phase contrary, u
1oscillation Amplitude can be suppressed significantly, be just equivalent to rubber film and receive come from lumped mass block m when vibrating
2restraint, cause the vibrational energy of rubber film to be all transferred to lumped mass block m
2, thus realize under optical vibration mode, to the Selective absorber of mechanical wave.
According to a preferred embodiment of the invention, the equivalent stiffness of the rubber film of each opening part is:
The quality of the rubber film of each opening part is:
m
1=f(ρ,l,d,e)
In formula,
for the equivalent stiffness of the rubber film of each opening part, unit is: N/m; ρ is the density of rubber film, and unit is: kg/m
3; E is the Young modulus of rubber film, and unit is: N/m
2; L is the length of rubber film, and unit is: mm; D is the width of rubber film, and unit is: mm; E is the thickness of rubber film, and unit is: mm; m
1for the quality of the rubber film of each opening part, unit is: kg.
After the equivalent stiffness determining mechanical wave frequency to be absorbed and rubber film and quality, the piece of magnetic material of each opening part and the equivalent mass of rubber film can be determined.According to a preferred embodiment of the invention, mechanical wave frequency to be absorbed and meet relational expression between the above-mentioned equivalent stiffness mentioned and the above-mentioned equivalent mass mentioned:
wherein,
for the piece of magnetic material of each opening part and the equivalent mass of rubber film, unit is: kg; Ω is mechanical wave frequency to be absorbed, and unit is: Hz.Can determine that the piece of magnetic material of each opening part and the equivalent mass of rubber film are according to this relational expression:
The quality of the piece of magnetic material of each opening part is:
In formula, m
2for the quality of the piece of magnetic material of each opening part, unit is: kg.
According to a preferred embodiment of the invention, on FRPP plate, the lumped mass block of each opening part can be equal, also can be unequal.Such as, on FRPP plate, the lumped mass block of each opening part is m
2, corresponding absorbable mechanical wave frequency is Ω, then the absorbable mechanical wave frequency of Two Dimensional Acoustic Meta Materials is Ω; Lumped mass block minimum on FRPP plate is m
2', corresponding absorbable mechanical wave frequency is lumped mass block maximum on Ω ', FRPP plate is m
2", corresponding absorbable mechanical wave frequency is Ω ", then the frequency range of the absorbable mechanical wave of Two Dimensional Acoustic Meta Materials of structure is Ω ' ~ Ω ".Visible, in order to expand the frequency range of the mechanical wave that Two Dimensional Acoustic Meta Materials can absorb, the lumped mass block of each opening part on FRPP plate can be made unequal.In the present invention, by choosing different lumped mass blocks targetedly, can realize carrying out selective absorbing to the vertical mechanical ripple of characteristic frequency.
According to Two Dimensional Acoustic Meta Materials of the present invention, its preparation method comprises:
S1, the opening of periodic arrangement is set at TRPP FRPP flat board, utilizes two blocks of FRPP flat board clamping rubber films;
S2, piece of magnetic material is set at the center of the side of the rubber film of each opening part, metal patch is set at the center of the opposite side of the rubber film of each opening part, and all piece of magnetic material is positioned at the same side of FRPP flat board.
Preferably, opening is square aperture, and square aperture is matrix arrangement, and square aperture is of a size of 60mm × 60mm, and the spacing between adjacent two openings is 25mm.
Preferably, taking a step forward of step S2 comprises:
Quality and the equivalent stiffness of each opening part rubber film is determined according to the Young modulus of the density of rubber film and each opening part rubber film, length, width and thickness;
Wherein, the equivalent stiffness of the rubber film of each opening part is:
The quality of the rubber film of each opening part is:
m
1=f(ρ,l,d,e)
In formula,
for the equivalent stiffness of the rubber film of each opening part, unit is: N/m; ρ is the density of rubber film, and unit is: kg/m
3; E is the Young modulus of rubber film, and unit is: N/m
2; L is the length of rubber film, and unit is: mm; D is the width of rubber film, and unit is: mm; E is the thickness of rubber film, and unit is: mm; m
1for the quality of the rubber film of each opening part, unit is: kg.
Preferably, taking a step forward of step S2 comprises: according to the equivalent stiffness of mechanical wave frequency to be absorbed and rubber film, determine the piece of magnetic material of each opening part and the equivalent mass of rubber film; The piece of magnetic material of each opening part and the equivalent mass of rubber film are:
Taking a step forward of step S2 comprises: based on the quality of described equivalent mass and each opening part rubber film, determine the quality of the piece of magnetic material of each opening part; The quality of the piece of magnetic material of each opening part is:
In formula,
for the piece of magnetic material of each opening part and the equivalent mass of rubber film, unit is: kg; Ω is mechanical wave frequency to be absorbed, and unit is: Hz; m
2for the quality of the piece of magnetic material of each opening part, unit is: kg.
Preferably, FRPP flat board is of a size of 380mm × 380mm, and every block FRPP flat board is provided with 16 or 20 square aperture.
Below in conjunction with embodiment and accompanying drawing, Two Dimensional Acoustic Meta Materials of the present invention and preparation method thereof is described in further detail:
Two Dimensional Acoustic Meta Materials is made up of FRPP flat board, rubber film and piece of magnetic material, wherein: FRPP flat board is long is 380mm, and wide is 380mm, and FRPP flat board being processed array is 4 × 4 square aperture amounting to 16 60mm × 60mm, each open space 25mm; Rubber film density p=980kg/m
3, elastic modulus E=2 × 10
5pa, Poisson ratio υ=0.49; Piece of magnetic material diameter is 6mm, and quality is 0.15g.Clamping rubber film in the middle of two pieces of FRPP flat boards, at the center of the side of the rubber film of each opening part, piece of magnetic material is set, at the center of the opposite side of the rubber film of each opening part, metal patch is set, and all piece of magnetic material are positioned at the same side of described FRPP flat board, have so just obtained Two Dimensional Acoustic Meta Materials.As shown in Figure 4, there are two subresonances in the sweep check curve of this Meta Materials, is respectively frequency 67.5Hz and 157.5Hz altogether, frequency 67.5Hz the vibration shape as shown in Figure 5, frequency 157.5Hz the vibration shape as shown in Figure 6.
According to Two Dimensional Acoustic Meta Materials to mechanical wave Selective absorber of the present invention and preparation method thereof, can realize carrying out Selective absorber to the mechanical wave of the vertical direction of characteristic frequency by mass in choice set targetedly, and can avoid owing to pasting the outer boundary that brings to the impact of rubber film performance, structure is simple, designability good, be convenient to realize.
Although with reference to illustrative embodiments, invention has been described, but be to be understood that, the present invention is not limited in literary composition the embodiment described in detail and illustrate, when not departing from claims limited range, those skilled in the art can make various change to described illustrative embodiments.
Claims (10)
1. to a Two Dimensional Acoustic Meta Materials for mechanical wave Selective absorber, it is characterized in that comprising: two pieces of TRPP FRPP flat boards, rubber film, lumped mass block and metal patches; Wherein,
Described FRPP flat board is provided with the opening of periodic arrangement, between two pieces of described FRPP flat boards, clamps rubber film;
Lumped mass block and metal patch are arranged on the center of the rubber film of each opening part, wherein, lumped mass block is piece of magnetic material and is arranged on the center of rubber film side, metal patch is arranged on the center of rubber film opposite side, and all lumped mass blocks are positioned at the same side of described FRPP flat board.
2. Two Dimensional Acoustic Meta Materials as claimed in claim 1, wherein, described opening is square aperture, and described square aperture is matrix arrangement, and described square aperture is of a size of 60mm × 60mm, and the spacing between adjacent two described openings is 25mm.
3. Two Dimensional Acoustic Meta Materials as claimed in claim 2, wherein, the equivalent stiffness of the described rubber film of each opening part is:
The quality of the described rubber film of each opening part is:
m
1=f(ρ,l,d,e)
In formula,
for the equivalent stiffness of the rubber film of each opening part, unit is: N/m; ρ is the density of rubber film, and unit is: kg/m
3; E is the Young modulus of rubber film, and unit is: N/m
2; L is the length of rubber film, and unit is: mm; D is the width of rubber film, and unit is: mm; E is the thickness of rubber film, and unit is: mm; m
1for the quality of the rubber film of each opening part, unit is: kg.
4. Two Dimensional Acoustic Meta Materials as claimed in claim 3, wherein, the piece of magnetic material of each opening part and the equivalent mass of rubber film are:
The quality of the piece of magnetic material of each opening part is:
In formula,
for the piece of magnetic material of each opening part and the equivalent mass of rubber film, unit is: kg; Ω is mechanical wave frequency to be absorbed, and unit is: Hz; m
2for the quality of the piece of magnetic material of each opening part, unit is: kg.
5. Two Dimensional Acoustic Meta Materials as claimed in claim 1, wherein, described FRPP flat board is of a size of 380mm × 380mm, FRPP flat board described in every block is provided with 16 or 20 square aperture.
6. the preparation method of the Two Dimensional Acoustic Meta Materials as described in as arbitrary in claim 1-5, is characterized in that comprising:
S1, the opening of periodic arrangement is set at TRPP FRPP flat board, utilizes two blocks of described FRPP flat board clamping rubber films;
S2, piece of magnetic material is set at the center of the side of the rubber film of each opening part, metal patch is set at the center of the opposite side of the rubber film of each opening part, and all piece of magnetic material is positioned at the same side of described FRPP flat board.
7. the preparation method of Two Dimensional Acoustic Meta Materials as claimed in claim 6, wherein, described opening is square aperture, and described square aperture is matrix arrangement, and described square aperture is of a size of 60mm × 60mm, and the spacing between adjacent two described openings is 25mm.
8. the preparation method of Two Dimensional Acoustic Meta Materials as claimed in claim 7, wherein, taking a step forward of step S2 comprises:
Quality and the equivalent stiffness of each opening part rubber film is determined according to the Young modulus of the density of rubber film and each opening part rubber film, length, width and thickness;
Wherein, the equivalent stiffness of the described rubber film of each opening part is:
The quality of the described rubber film of each opening part is:
m
1=f(ρ,l,d,e)
In formula,
for the equivalent stiffness of the rubber film of each opening part, unit is: N/m; ρ is the density of rubber film, and unit is: kg/m
3; E is the Young modulus of rubber film, and unit is: N/m
2; L is the length of rubber film, and unit is: mm; D is the width of rubber film, and unit is: mm; E is the thickness of rubber film, and unit is: mm; m
1for the quality of the rubber film of each opening part, unit is: kg.
9. the preparation method of Two Dimensional Acoustic Meta Materials as claimed in claim 8, wherein,
Taking a step forward of step S2 comprises: according to the equivalent stiffness of mechanical wave frequency to be absorbed and rubber film, determine the piece of magnetic material of each opening part and the equivalent mass of rubber film; The piece of magnetic material of each opening part and the equivalent mass of rubber film are:
Taking a step forward of step S2 comprises: based on the quality of described equivalent mass and each opening part rubber film, determine the quality of the piece of magnetic material of each opening part; The quality of the piece of magnetic material of each opening part is:
In formula,
for the piece of magnetic material of each opening part and the equivalent mass of rubber film, unit is: kg; Ω is mechanical wave frequency to be absorbed, and unit is: Hz; m
2for the quality of the piece of magnetic material of each opening part, unit is: kg.
10. the preparation method of Two Dimensional Acoustic Meta Materials as claimed in claim 9, wherein, described FRPP flat board is of a size of 380mm × 380mm, FRPP flat board described in every block is provided with 16 or 20 square aperture.
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