CN106228969A - A kind of three-dimensional locally resonant photonic crystal structure and preparation method - Google Patents
A kind of three-dimensional locally resonant photonic crystal structure and preparation method Download PDFInfo
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- CN106228969A CN106228969A CN201610828376.0A CN201610828376A CN106228969A CN 106228969 A CN106228969 A CN 106228969A CN 201610828376 A CN201610828376 A CN 201610828376A CN 106228969 A CN106228969 A CN 106228969A
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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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- B—PERFORMING OPERATIONS; TRANSPORTING
- B33—ADDITIVE MANUFACTURING TECHNOLOGY
- B33Y—ADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
- B33Y80/00—Products made by additive manufacturing
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
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Abstract
The invention discloses a kind of Three phase 3 D photonic crystal structure based on locally resonant mechanism, elastomeric overmold layer be uniformly coated with high density core body and form scattering unit and arrange by the square lattice cycle, scattering unit connects formation each other by low density rigid connector.Described manufacture method is characterized as utilizing 3D printing technique based on Stereolithography to produce the two-dimensionally periodic structure being made up of connector and clad, and the successively superposition of two-dimension periodic table structure is assembled into Complete three-dimensional periodic structure after inserting clad by high density core body.The invention has the beneficial effects as follows and obtain frequency acoustic broad-band gap while reducing physical dimension and alleviating construction weight, the application of 3D printing technique based on Stereolithography makes the preparation more simple and flexible of multi-phase complex three-dimensional photonic crystal structure.
Description
Technical field
The present invention relates to a kind of locally resonant photonic crystal structure and preparation method, belong to acoustics, relate to solid-state physics
The fields such as, structural mechanics, the mechanics of materials and increasing material manufacture.
Background technology
Frame for movement is not only caused fatigue damage to affect equipment by the mechanical vibration produced in modern industry production process
Error can be caused to reduce precision also can to Precision Machining and measurement process, the mechanical wave penetration power that mechanical vibration simultaneously produce is strong
Also easily human body is damaged.Therefore, it is extremely necessary for controlling vibration in industrial processes with suppression noise.And
Phonon crystal such a just can be used for the new function material of vibration and noise reducing.The phononic band gap characteristic that it has can make
Elastic wave transmission in the range of certain frequency is suppressed thus can be used for structure without shaking working environment and obstruct is made an uproar sonic propagation.
The formation mechenism of phonon crystal band gap is divided into Prague to dissipate and locally resonant two kinds.Result of study shows, based on cloth
Glug scatters wavelength corresponding to its frequency of band gap formed and lattice paprmeter on the same order of magnitude.Therefore Bragg diffraction type sound
Sub-crystal is difficult under less physical dimension obtain frequency acoustic band gap, is unfavorable for its answering in low frequency vibration damping noise reduction field
With.And for locally resonant type phonon crystal, research shows that its available reduced size obtains low bandgap.But current common local
The lowest width of bandgap frequency that resonance type photonic crystal structure results in greatly due to substrate quality is the widest, on the other hand base
Weight does not meets the development trend of material lightweight the most yet.Meanwhile, traditional machining process is utilized to prepare complex three-dimensional
Photonic crystal structure is extremely difficult.Therefore, while reducing physical dimension and alleviating construction weight, frequency acoustic broadband is obtained
Gap, and the convenient and efficient preparation realizing structure is the big Research Challenges of current one.
Based on this, the present invention provides a kind of locally resonant photonic crystal structure and preparation method to solve the problems referred to above.
Summary of the invention
Obtain the difficulty of broad band low frequency gap in order to overcome existing structure to be difficult under meeting miniaturization, lightweight requirements, solve
Certainly Conventional machining methods is difficult to prepare the problem of complex three-dimensional photonic crystal structure, the invention provides a kind of locally resonant
Photonic crystal structure and preparation method.
The invention provides a kind of Three phase 3 D photonic crystal structure, including high density core body, elastomeric overmold layer and low close
Degree connector.
Elastomeric overmold layer is uniformly coated with high density core body and forms scattering unit and by square lattice periodic arrangement, and scattering is single
Connected by low density rigid connector between unit.
Described connector is shaped as cylinder, and in unit cell, quantity is six, by tri-direction omnidirectional distribution of X, Y, Z, even
Junctor central axis intersects at core-center.
The present invention also provides for the preparation method of aforementioned Three phase 3 D photonic crystal structure, comprises the steps.
1) selection of structural material: described core body density is connector density more than three times, clad modular ratio core
Body and little four magnitudes of connector.
2) design of physical dimension: required to determine lattice paprmeter by acoustic characteristic, core diameter is more than the five of lattice paprmeter
/ mono-, connector diameter is more than 1/10th of lattice paprmeter, and coating thickness is to five/10ths points of lattice paprmeter
One of.
3) pretreatment: the unit cell Complete three-dimensional periodic structure that periodic arrangement is formed in three dimensions can be by two dimensions
On degree, the cycle superposition on the 3rd dimension direction of the structure of periodic arrangement is formed.CAD software is set up by connector and
The mathematical model of the two-dimensionally periodic structure of clad composition, imports 3D printer control software by the cad file generated.
4) produce: 3D printer ejects tiny light-sensitive material drop according to the path of planning exists side by side and i.e. use ultraviolet
Solidified, pallet is gathered into thin layer.Layer material successively superposition and then form accurate three-dimensional entity model.
5) removal is supported: by hand or backing material can be removed with water.
6) via step 1) to 5) prepare the two-dimensionally periodic structure being made up of connector and clad, high density core body is inserted
It is assembled into complete entity structure by bonding for the successively superposition of this structure after clad.
The suitability of method: for the requirement of different acoustic characteristics, repeat above step 1) to step 6), can prepare
Meet the Three phase 3 D photonic crystal structure of given requirements.
The invention has the beneficial effects as follows on the premise of meeting structural acoustic characteristic requirements, reduce physical dimension, alleviate
Construction weight, it is thus achieved that broad band low frequency gap.Utilization based on Stereolithography 3D printing technique makes 3 D complex phonon brilliant
The preparation of body structure becomes simpler.
Accompanying drawing explanation
Fig. 1 is three-dimensional locally resonant photonic crystal structure single cell model, and (a) is unit cell axonometric drawing, and (b) is unit cell cross section
Figure.
Fig. 2 is complete three-dimensional locally resonant photonic crystal structure.
Fig. 3 is that unit cell periodic arrangement in two dimensions forms structure.
Fig. 4 is the schematic diagram that two-dimensional periodic structure inserted by core body.
Fig. 5 is common locally resonant photonic crystal structure band structure figure.
Fig. 6 is the band structure figure of the embodiment of the present invention.
Element numbers explanation
1 core body
2 clads
3 connectors.
Detailed description of the invention
With instantiation, the present invention is described in more detail below in conjunction with the accompanying drawings.
Fig. 1 (a) is photonic crystal structure single cell model, including core body 1, clad 2, connector 3.As shown in Fig. 1 (b),
Containing six connectors 3 in unit cell, the central axis of connector 3 intersects at the center of core body 1.
Core body 1 and clad 2 form scattering unit and by square lattice periodic arrangement, through connector 3 between scattering unit
Connect and form the Complete three-dimensional photonic crystal structure of some cycles number as shown in Figure 2.
In conjunction with accompanying drawing, the preparation method of the present invention is described specifically, including following six step.
Step 1), the design of physical dimension: required to determine lattice paprmeter by acoustic characteristic, core body 1 diameter is normal more than lattice
Number 1/5th, connector 3 diameter more than lattice paprmeter 1/10th, clad 2 thickness be lattice paprmeter ten/
1/1 to five.
Step 2), the selection of structural material: core body 1 density is connector 3 density more than three times, clad 2 elastic modelling quantity
Four magnitudes less than core body 1 and connector 3.
Step 3), pretreatment: determined the size of structure by step 1 after, CAD software is set up connector as shown in Figure 3
The mathematical model of two-dimensionally periodic structure formed with clad.The cad file generated is imported photocuring 3D printer and controls soft
Part.Data file will be made layered shaping and calculated the position of light-sensitive material and backing material by software automatically.
Step 4), produces: photocuring 3D printer has two shower nozzles, and shower nozzle ejects formation respectively according to path planning
Connector and the tiny light-sensitive material drop of clad, fluent material solidifies after ultraviolet irradiates, and finally assembles on pallet
Straticulation.Layer material successively superposition and then form accurate three-dimensional entity model.During Gai, 3D printer can hang in structure
Removable gel backing material is sprayed at empty part or complex-shaped needs support.
Step 5), supports and removes: by hand or can remove backing material with clear water.The model that directly 3D printer can be generated
Process with part and use, it is not necessary to subsequent cure.
Step 6), prepares the two dimension week being made up of connector and clad as shown in Figure 3 via step 1) to step 5)
Phase structure, then high density core body 1 is inserted clad 2 as shown in Figure 4, finally by bonding for the successively superposition of structure shown in Fig. 4, assemble
Become complete cycle structure as shown in Figure 2.
The suitability of method: for the requirement of different acoustic characteristics, repeat above step 1) to step 6), can prepare
Meet the Three phase 3 D photonic crystal structure of given requirements.
Below in conjunction with instantiation, the present invention is further elaborated.
Core body 1 density in the present embodimentρ =11600kg/m3, elastic modelling quantityE =4.08×1010 Pa, modulus of shearingG =
1.49×1010 Pa;Clad 2 densityρ =1300kg/m3, elastic modelling quantityE =1.175×105 Pa, modulus of shearingG = 4×
104Pa;Connector 3 densityρ =1180kg/m3, elastic modelling quantityE = 4.35×109 Pa, modulus of shearingG = 1.59×109
Pa.Core body density 1 is connector 3 density more than three times, clad 2 modular ratio core body 1 and little four magnitudes of connector 3.
In the present embodiment, core body 1 diameter is more than 1/5th of lattice paprmeter, and connector 3 diameter is more than the ten of lattice paprmeter
/ mono-, clad 2 thickness is 1st/1 to five/10ths of lattice paprmeter.Photonic crystal structure unit cell cross section such as Fig. 1 a institute
Showing, lattice paprmeter is 20mm, and core body 1 radius is 5mm, and clad 2 thickness is 2.5mm, a diameter of 3mm of connector 3.More than foundation
Determine the digital model of dimensional structure, the cad file generated is imported photocuring 3D printer control software.Through being light-cured into
Type can prepare and be formed two-dimensionally periodic structure by connector and clad as it is shown on figure 3, again high density core body 1 is inserted clad 2
As shown in Figure 4, finally by bonding for the successively superposition of structure shown in Fig. 4, form Complete three-dimensional periodic structure as shown in Figure 2.
Being calculated band structure figure as shown in Figure 5, Figure 6 in the present embodiment, the scattering unit that wherein Fig. 5 is common is complete
Embedding matrix and form the band structure figure of photonic crystal structure, Fig. 6 is that the scattering unit designed by the present invention only passes through connector
Connect the band structure figure forming photonic crystal structure.In figure, abscissa is wave vector, and vertical coordinate is frequency, and oblique line fills part i.e.
For band gap.Such as Fig. 5, the bandgap frequency scope that common structure obtains is 374.88Hz ~ 491.39Hz, and band gap center frequency is
433.14Hz, band gap width is 116.51Hz.Such as Fig. 6, the present invention design the bandgap frequency scope that structure obtains be 93.54Hz ~
408.57Hz, band gap center frequency is 251.06Hz, and band gap width is 315.03Hz.
To sum up, structure designed by the present invention obtains frequency acoustic broad-band gap under meeting the light-weighted requirement of small size;
In the manufacture method of the present invention, utilize 3D printing technique based on Stereolithography to solve Conventional machining methods and be difficult to make
The problem making complex three-dimensional photonic crystal structure.
As it has been described above, be explained in detail embodiments of the invention, but above content is not limiting as the present invention.Any ripe
The professional knowing this field possesses the ability modified above-described embodiment and deform.But as long as essentially without completely
The variation departing from inventive point of the present invention and technological thought is integrally incorporated in protection scope of the present invention.
Claims (9)
1. a Three phase 3 D photonic crystal structure based on locally resonant mechanism, by elastomeric overmold layer, high density core body, connection
Body is constituted, it is characterised in that elastomeric overmold layer is uniformly coated with high density core body and forms scattering unit and arrange by the square lattice cycle
Cloth, is directly connected by low density rigid connector between scattering unit and forms complete structure.
A kind of Three phase 3 D photonic crystal structure the most according to claim 1, it is characterised in that scattering unit is the most embedding
Enter matrix but connected by limited quantity connector and form complete structure.
A kind of Three phase 3 D photonic crystal structure the most according to claim 1, it is characterised in that described connector is at unit cell
Middle quantity is six.
A kind of Three phase 3 D photonic crystal structure the most according to claim 1, it is characterised in that described connector press X, Y,
Tri-direction omnidirectional distribution of Z, connector central axis intersects at core-center.
5. the preparation method of a Three phase 3 D photonic crystal structure based on locally resonant mechanism, it is characterised in that include with
Lower step:
1) selection of structural material: described core body density is connector density more than three times, clad modular ratio core body and
Little four magnitudes of connector;
2) design of physical dimension: by acoustic characteristic require determine lattice paprmeter, core diameter more than lattice paprmeter five/
One, connector diameter is more than 1/10th of lattice paprmeter, and coating thickness is 1st/1 to five/10ths of lattice paprmeter;
3) pretreatment: the Complete three-dimensional periodic structure of periodic arrangement can be by the cycle in two dimensions in three dimensions for unit cell
Property arrangement structure periodically superposition in the 3rd dimension formed, set up in CAD software and be made up of connector and clad
Two-dimensionally periodic structure mathematical model, will generate cad file import 3D printer control software;
4) preparation is produced: 3D printer ejects tiny light-sensitive material drop according to the path of planning exists side by side and i.e. use ultraviolet
Solidified, pallet is gathered into thin layer, layer material successively superposition and then form accurate three-dimensional entity model;
5) removal is supported: by hand or backing material can be removed with water;
6) via step 1) to 5) prepare the two-dimensionally periodic structure being made up of connector and clad, cladding inserted by high density core body
It is assembled into Complete three-dimensional periodic structure by bonding for the successively superposition of this structure after Ceng.
The preparation method of a kind of Three phase 3 D photonic crystal structure, it is characterised in that by changing
Core body, cladding, the material parameter of connector, it is achieved bandgap frequency and the regulation and control of band gap width.
The preparation method of a kind of Three phase 3 D photonic crystal structure, it is characterised in that keeping crystalline substance
In the case of lattice constant is constant, by changing core body size, coating thickness, connector diameter, it is achieved bandgap frequency and band gap
The regulation and control of width.
A kind of preparation method of Three phase 3 D photonic crystal structure, it is characterised in that use based on
The 3D printing technique of photocureable rapid shaping, the method that light-sensitive material is layered photocuring prepares entity structure.
The preparation method of a kind of Three phase 3 D photonic crystal structure, it is characterised in that by three-dimensional week
Phase arrangement architecture is divided into multilayer two-dimension periodic arrangement structure, and the method assembled by layering after inserting core body prepares complete three
Dimension periodic structure.
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CN108492815A (en) * | 2018-05-23 | 2018-09-04 | 中国工程物理研究院总体工程研究所 | Beam-folding phonon crystal with wide cut low bandgap characteristic |
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