CN206946932U - A kind of three-dimensional locally resonant type phonon crystal - Google Patents
A kind of three-dimensional locally resonant type phonon crystal Download PDFInfo
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- CN206946932U CN206946932U CN201720691275.3U CN201720691275U CN206946932U CN 206946932 U CN206946932 U CN 206946932U CN 201720691275 U CN201720691275 U CN 201720691275U CN 206946932 U CN206946932 U CN 206946932U
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Abstract
The utility model discloses a kind of three-dimensional locally resonant type phonon crystal, including matrix, intermediate layer slanted bar and central cylinder, matrix in the square plate that array is symmetrical, center has slot circular hole by forming, intermediate layer slanted bar is distributed on the hole wall of slot circular hole, and central cylinder is distributed along intermediate layer slanted bar center in one side of matrix；The minimum unit cellular of locally resonant type phonon crystal is made up of the corresponding intermediate layer slanted bar and central cylinder in array distribution of matrix square plate.The phonon crystal its clad is introduced " space " and is further reduced Young's modulus using the very small super-elasticity elastomeric material of Young's modulus, therefore can open below 50Hz ultralow frequency band gap.It is adjusted by the length to sector structure in the slanted bar of intermediate layer and angle, wider band gap can be obtained in ultralow frequency.This phonon crystal has wider ultralow frequency band gap, reduces structure arrangement difficulty, improves the acoustic stability of structure.
Description
Technical field
The utility model is related to a kind of locally resonant type phonon crystal, and in particular to one kind have ultralow frequency (50Hz with
Under) the three-dimensional locally resonant type phonon crystal of band gap.
Background technology
The phonon crystal for starting the 1990s to propose is that a kind of realized from geometry controls the new of elastic wave
Method.Phonon crystal is a kind of artificial acoustic function material of periodicity, and the propagation of elastic wave can be prevented within the scope of certain frequency.
Its this characteristic is referred to as band gap, and the characteristic provides a kind of brand-new idea and method for vibration and noise reducing, by many scholars
Concern and research.
2000, positive phthalein of Liu et al. proposed the locally resonant unit based on locally resonant mechanism, its acoustics knot designed
Structure can grow the sound wave more than two orders of magnitude of lattice dimensions with controls ripple.2008, Z.Yang etc. proposed a kind of with dynamic
The membranous type acoustic metamaterial of negative mass, the primary Calculation band gap of structure, it is possible to achieve 100Hz~1000Hz wideband low-frequency band
Gap, a kind of more generally applicable theoretical scheme is provided to vibration and noise reducing.In order to obtain detailed effect of vibration and noise reduction, Jun
Mei is equal to the structural design scheme delivered by experimental verification in 2012, it was confirmed that is implicitly present in 100Hz~1000Hz
Ultra-wide low bandgap, structure have extraordinary vibration isolation defening effect.The patent research of Wu Jian in 2013 et al. applications has not
The acoustic metamaterial of the compound structure cell of homogenous quantities counterweight, wider band gap scope is realized by adjusting balance position and quality.
The same year, U.S. Osama R etc. have studied springboard type acoustic metamaterial with holes, effectively widen relative bandgap range, up to
60%.Two kinds of materials of patent utilization lightweight and silica gel of the remittance of Wu nine in 2014 and Ma Fuyin et al. application are prepared for the constituent element of lightweight two
Acoustic metamaterial, there is low bandgap of the width for 73Hz in 200Hz scopes.
Locally resonant type phonon crystal has two to solve the problems, such as that low frequency vibration damping noise reduction provides effective method
Individual problem：First, traditional locally resonant type phonon crystal is due to the limitation of geometry and material property, and its bandgap frequency is not
It is enough low, still it is difficult processing below 150Hz low-frequency noise problem at present；Secondly, locally resonant type photonic crystal structure band gap
It is general all very narrow, in the case where keeping smaller structure size, still hardly result in broad-band gap.
Needed therefore it provides a kind of locally resonant type photonic crystal structure for below low frequency 150Hz is the utility model
Technical problems to be solved.
Utility model content
In order to which the locally resonant type phonon crystal bandgap frequency for solving traditional is not low enough, it is difficult to handle the low of below 150Hz
Frequency noise problem, and the problem of its band gap is general all very narrow, propose that a kind of ultralow frequency band gap three-dimensional locally resonant type phonon is brilliant
Body, by changing the structure of clad and extremely low Young's modulus being obtained using super-elasticity elastomeric material, so that matrix material
Material and the vibration coupling of cylinder harmonic oscillator can open ultralow frequency band gap, and make band by the way that designed clad is adjusted
Gap is widened.
To reach above-mentioned purpose, embodiment of the present utility model adopts the following technical scheme that：
According to one embodiment provided by the utility model, the utility model provides a kind of three-dimensional locally resonant type phonon
Crystal, including matrix, intermediate layer slanted bar and central cylinder, described matrix are had the square plate structure of slot circular hole by center
Into intermediate layer slanted bar is distributed on the hole wall of slot circular hole, and central cylinder is along intermediate layer slanted bar center in one side of matrix
Distribution；By described matrix material square plate, intermediate layer slanted bar and central cylinder along slot circular hole in radial pattern distribution
Form the minimum unit cellular of locally resonant type phonon crystal.
Further, the intermediate layer slanted bar interlocks two-by-two for several along uniform between matrix and centered cylinder harmonic oscillator
The inside and outside fan-shaped bar of distribution, the inside and outside fan-shaped bar being interspersed two-by-two is connected and composed by bonding, and inside and outside two sectors
Bar area of section is different.
Further, multiple symmetrical squares are formed along central cylinder outer wall curved bottom portion arrangement by the interior fan-shaped bar
Shape slot.
Further, inside and outside two fan-shaped bars are distributed with one heart, and thickness is identical.
Further, the intermediate layer slanted bar is made up of super-elasticity rubber.
Further, described matrix uses epoxide resin material.
Further, the length of side of described matrix square plate is 30~50mm, and thickness is 6~10mm, circle hole radius are 13~
20mm。
Further, the central cylinder is made up of metallic lead.
Further, the radius L of the central cylinder is 8~14mm, and height h is 30~50mm.
Further, several include matrix square plate, along slot circular hole in radial pattern distribution intermediate layer slanted bars and in
The minimum unit cellular for the locally resonant type phonon crystal that heart cylinder is formed is in array distribution, forms three-dimensional locally resonant type sound
Sub- crystal array.
The characteristics of the utility model, is：
1) its clad of the phonon crystal is using the very small super-elasticity elastomeric material of Young's modulus, and introduces " space " and enter
One step reduces Young's modulus, therefore can open below 50Hz ultralow frequency band gap.
2) it is adjusted, can be obtained in ultralow frequency wider by the length to sector structure in the slanted bar of intermediate layer and angle
Band gap.
3) this phonon crystal only needs the single layer structure can of cellular of the same race to have wider ultralow frequency band gap, without a variety of members
Born of the same parents combine or sandwich construction, reduce structure arrangement difficulty, improve the acoustic stability of structure.
Brief description of the drawings
Fig. 1 is the single cellular schematic diagram of phonon crystal；
Fig. 2 is the cellular array schematic diagram of phonon crystal；
Fig. 3 is intermediate layer slanted bar enlarged diagram；
Fig. 4 is S1Influence of the angle to band gap；
Fig. 5 is S2Influence of the length to band gap；
Fig. 6 is influence of the intermediate layer slanted bar number to band gap；
Fig. 7 is influence of the intermediate layer slanted bar thickness to band gap；
Fig. 8 is influence of the intermediate layer slanted bar density to band gap.
Embodiment
The utility model is described in detail with reference to the accompanying drawings and detailed description.
Fig. 1 be the phonon crystal single cellular schematic diagram, including matrix square plate A, intermediate layer slanted bar part B and
Central cylinder C.By center there is the square plate of slot circular hole to form matrix, intermediate layer slanted bar is distributed in the hole of slot circular hole
On wall, central cylinder is distributed along intermediate layer slanted bar center in one side of matrix；It is in by matrix square plate, along slot circular hole
The intermediate layer slanted bar and central cylinder of radial pattern distribution form the minimum unit cellular of locally resonant type phonon crystal.
Fig. 2 show the cellular array schematic diagram of phonon crystal, and several include matrix square plate, are in along slot circular hole
The minimum unit cellular for the locally resonant type phonon crystal that the intermediate layer slanted bar and central cylinder of radial pattern distribution are formed is in battle array
Column distribution, form three-dimensional locally resonant type phonon crystal array.
Wherein, intermediate layer slanted bar is that several are interspersed two-by-two along uniform between matrix and centered cylinder harmonic oscillator
Inside and outside fan-shaped bar, and inside and outside two fan-shaped bar areas of section are different.By interior fan-shaped bar along central cylinder outer wall curved bottom portion cloth
Put and form several symmetrical rectangular slots.Inside and outside two fan-shaped bars are distributed with one heart, and thickness is identical.
The enlarged diagram of single intermediate layer slanted bar as shown in figure 3, intermediate layer slanted bar by S1And S2Two partial sector structures
Bonding connection composition, S1Inside radius L1Equal to central cylinder radius, S2Outer radius L4Equal to the half of matrix material circular hole
Footpath, L4And L1Difference be equal to central cylinder outer wall to matrix material circular-hole internal-wall distance.Intermediate layer slanted bar surrounds centered cylinder
Body is symmetrical, connects central cylinder and matrix material, wherein S1Small end face and central cylinder outer wall curved bottom portion it is tight
Closely connected merging is adhesively fixed, S2Large end face be brought into close contact and be adhesively fixed with matrix material circular-hole internal-wall face.In single cellular
The lower surface of matrix material, intermediate layer slanted bar and central cylinder is respectively positioned in same plane.
Fig. 2 is the cellular array schematic diagram of phonon crystal.Phonon crystal is in the nature equivalent spring quality model, wherein matrix
Use epoxide resin material.Square plate A forms with y directions cyclic extension in the x-direction as shown in Figure 2, plays fixed support and makees
With.Slanted bar slanted bar as shown in several Fig. 3 in intermediate layer is distributed around central cylinder, equivalent in " spring-quality " model
Spring.Intermediate layer slanted bar uses super-elasticity elastomeric material, and its density is 1100kg/m3, bulk modulus is 1.1 × 104Pa, model
Elastic parameter C10=0.37MPa, C01=0.11MPa.
Compared with usual silicone rubber material, it has the characteristics that：(1) can elasticity recovery deformation it is very big, maximum can be with
Up to 1000%；(2) bulk modulus of super-elasticity rubber, that is, Young's modulus are very small；(3) its bulk modulus will be with
The increase of temperature and increase.Central cylinder in the phonon crystal is made up of lead material, plays " spring-quality " model
The effect of middle mass.
The variation relation trend that the band gap up-and-down boundary and band gap width being calculated by energy band diagram change with intermediate layer
As shown in Fig. 4~8.Fig. 4 is given with S1First band gap variation diagram caused by partial angle change.Can from figure
Go out, work as S1When Partial angle increases, band gap first becomes narrow gradually to disappear afterwards, last to occur again.Band gap disappear critical angle be
7.6°.Fig. 5 is S2Band gap variation figure caused by partial length change.As seen from the figure with S2Partial length increase, its
Band gap coboundary moves down, and band gap lower boundary moves up, and finally results in the continuous reduction of corresponding band gap width.Fig. 6, figure
7 and Fig. 8 is influence of the change of intermediate layer slanted bar number, thickness and density to band gap up-and-down boundary respectively.Actually intermediate layer
It is the part for connecting matrix material and cylinder harmonic oscillator, its number is fewer, equivalent stiffness keSmaller, such band gap will be more toward low
Frequency displacement is moved, and width can also become big；The thickness in intermediate layer is bigger, equivalent stiffness keHardly change, but its equivalent mass meBut
Big becoming, band gap broadens.Slanted bar density has little to no effect for the lower boundary of band gap, but makes the coboundary of band gap to height
Frequency displacement is moved, and band gap broadens.
Specific embodiment of the utility model is given below to be described further.
The length of side of matrix square plate is 30~50mm, preferably 40mm；Thickness is 6~10mm, preferably 10mm；Circular hole
Radius is 13~20mm, preferably 16mm；The radius L of central cylinder is 8~14mm, preferably 10mm；Height h be 30~
50mm, preferably 40mm.Intermediate layer slanted bar S1Inside radius L1It is 10mm, S equal to central cylinder radius2Outer radius L4Deng
In the radius of matrix circular hole be 16mm.Intermediate layer slanted bar forms 20 by interior fan-shaped bar along central cylinder outer wall curved bottom portion arrangement
Individual symmetrical rectangular slot.
The utility model is not limited to above-described embodiment, on the basis of technical scheme disclosed in the utility model, this
The technical staff in field is according to disclosed technology contents, it is not necessary to which performing creative labour can is special to some of which technology
Sign makes some and replaces and deform, and these are replaced and deformed in the scope of protection of the utility model.
Claims (10)
1. a kind of three-dimensional locally resonant type phonon crystal, it is characterised in that including matrix, intermediate layer slanted bar and central cylinder, institute
The square plate that state matrix has slot circular hole by center is formed, and intermediate layer slanted bar is distributed on the hole wall of slot circular hole, center
Cylinder is along intermediate layer slanted bar center in one side distribution of matrix；It is in radiation by described matrix square plate, along slot circular hole
The intermediate layer slanted bar and central cylinder of type distribution form the minimum unit cellular of locally resonant type phonon crystal.
A kind of 2. three-dimensional locally resonant type phonon crystal according to claim 1, it is characterised in that the intermediate layer slanted bar
Be several along the inside and outside fan-shaped bar being interspersed two-by-two uniform between matrix and centered cylinder harmonic oscillator, it is described to interlock two-by-two
The inside and outside fan-shaped bar of distribution is connected and composed by bonding, and inside and outside two fan-shaped bar areas of section are different.
3. a kind of three-dimensional locally resonant type phonon crystal according to claim 2, it is characterised in that by the interior fan-shaped bar
Multiple symmetrical rectangular slots are formed along central cylinder outer wall curved bottom portion arrangement.
A kind of 4. three-dimensional locally resonant type phonon crystal according to claim 3, it is characterised in that inside and outside two fans
Shape bar is distributed with one heart, and thickness is identical.
A kind of 5. three-dimensional locally resonant type phonon crystal according to claim 1, it is characterised in that the intermediate layer slanted bar
It is made up of super-elasticity rubber.
6. a kind of three-dimensional locally resonant type phonon crystal according to claim 1, it is characterised in that described matrix uses ring
Oxygen resin material.
A kind of 7. three-dimensional locally resonant type phonon crystal according to claim 6, it is characterised in that described matrix square
The length of side of plate is 30~50mm, and thickness is 6~10mm, and circle hole radius are 13~20mm.
A kind of 8. three-dimensional locally resonant type phonon crystal according to claim 1, it is characterised in that the central cylinder
It is made up of metallic lead.
A kind of 9. three-dimensional locally resonant type phonon crystal according to claim 8, it is characterised in that the central cylinder
Radius L be 8~14mm, height h is 30~50mm.
A kind of 10. three-dimensional locally resonant type phonon crystal according to claim any one of 1-9, it is characterised in that several
The locally resonant formed including matrix square plate, along slot circular hole in the intermediate layer slanted bar and central cylinder of radial pattern distribution
The minimum unit cellular of type phonon crystal is in array distribution, forms three-dimensional locally resonant type phonon crystal array.
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| CN108172208A (en) * | 2018-03-28 | 2018-06-15 | 贵州大学 | A kind of locally resonant chirality honeycomb coating |
| CN108492816A (en) * | 2018-05-31 | 2018-09-04 | 山东理工大学 | A kind of two-dimentional male-type photonic crystal structure with microperforated panel |
| CN109102792A (en) * | 2018-09-13 | 2018-12-28 | 温州大学 | Novel locally resonant photonic crystal structure and the automobile vibration reduction plate for using the structure |
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| CN110880312A (en) * | 2018-09-05 | 2020-03-13 | 湖南大学 | Underwater sub-wavelength local resonance type acoustic metamaterial |
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| CN109102792A (en) * | 2018-09-13 | 2018-12-28 | 温州大学 | Novel locally resonant photonic crystal structure and the automobile vibration reduction plate for using the structure |
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