CN103198824A - Sound energy capturing system based on photonic crystal defect - Google Patents
Sound energy capturing system based on photonic crystal defect Download PDFInfo
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- CN103198824A CN103198824A CN2013100819579A CN201310081957A CN103198824A CN 103198824 A CN103198824 A CN 103198824A CN 2013100819579 A CN2013100819579 A CN 2013100819579A CN 201310081957 A CN201310081957 A CN 201310081957A CN 103198824 A CN103198824 A CN 103198824A
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- capture system
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Abstract
The invention discloses a sound energy capturing system based on a photonic crystal defect. The system is composed of a plurality of two-dimensional crystal lattice units in a periodic arrangement mode, and each two-dimensional lattice unit is formed by the fact that water cylinders parallel to one another and a central defect air cylinder are arrayed in mercury according to a two-dimensional crystal lattice. The radius r0 of each water cylinder is equal to 0.31a, the radius rd of the defect air cylinder is equal to 1.0r0 or 0.7r0 or 0.5r0 or 0.3r0 or 0, wherein a is a crystal lattice constant, and r0 and rd are respectively the radius of the water cylinder and the radius of each defect air cylinder. The water cylinder of the two-dimensional crystal lattice unit has at least five layers, and the crystal lattice constant a is 1-10cm. According to the sound energy capturing system based on the photonic crystal defect, different defect modes can be produced through changing of size of the radius of each defect air cylinder, and sound energy in different frequency ranges is captured. Requirements to a preparative technique are relatively low, a manufacturing process is simple, and designability is strong.
Description
Technical field
The present invention relates to a kind of acoustic energy capture system based on the phonon crystal defective.
Background technology
Phonon crystal is that the concept of analogy photonic crystal puts forward.By the analogy photonic crystal, it is found that when elastic wave is propagated in periodicity elastic composite medium, also can produce similar elastic wave band gap, thereby propose the phonon crystal concept.A key character of phonon crystal is the phonon forbidden band, and the sound wave that drops in the frequency range of forbidden band can't be propagated by phonon crystal.If in phonon crystal, introduce defective, in the forbidden band, may introduce defect state, the sound wave that frequency and defect state frequency match may be by local at fault location, so acoustic energy can be captured at this point defect place.
Introduce at present method that defective captures acoustic energy in the phonon crystal seldom.This method makes it produce different defect states by changing defective cylinder radius size, thereby captures the acoustic energy in the different frequency scope, and the method requires relatively low to technology of preparing.
Summary of the invention
The object of the present invention is to provide a kind of acoustic energy capture system based on the phonon crystal defective.
For achieving the above object, the technical scheme of a kind of acoustic energy capture system based on the phonon crystal defective provided by the invention is:
Described acoustic energy capture system based on the phonon crystal defective is made up of several two-dimensional crystal lattice unit periodic arrangement, and described two-dimensional crystal lattice unit is arranged by two-dimensional crystal lattice at mercury by the water column body 2 that is parallel to each other and the defective air cylinder 3 that is arranged in the center; The radius r of described water column body 2
0=0.31a, the radius of defective air cylinder 3 is respectively r
d=1.0r
0, r
d=0.7r
0, r
d=0.5r
0, r
d=0.3r
0Or r
d=0, wherein a is grating constant, r
0, r
dBe respectively the radius of water column body 2 and defective air cylinder 3;
At least five layers of the water column bodies of described two-dimensional crystal lattice unit, the grating constant a of described two-dimensional crystal lattice are 1～10cm.
Described acoustic energy capture system based on the phonon crystal defective is made up of the different multilevel-cell stack of one or more density.
The arrangement architecture of described two-dimensional crystal lattice unit is parallelogram, rectangle, square or sexangle.
The arrangement architecture of described two-dimensional crystal lattice unit is square.
The shape of cross section of above-mentioned water column body 2 and defective air cylinder 3 is circle, ellipse, square, rectangle, triangle or hexagon.
The shape of cross section of above-mentioned water column body 2 and defective air cylinder 3 is circular.
Above-mentioned acoustic energy capture system based on the phonon crystal defective is to be formed by stacking by these three kinds of different unit of density of water, mercury and central defect material air: wherein, the density of water column body is ρ=1.0 * 10
3Kg/m
3, longitudinal wave velocity C
l=1.48 * 10
3M/s, the density of mercury is ρ=13.5 * 10
3Kg/m
3, longitudinal wave velocity C
l=1.45 * 10
3M/s, the density of central defect material air is ρ=1.29Kg/m
3, longitudinal wave velocity C
l=0.34 * 10
3M/s.
Above-mentioned water column body 2 and defective air cylinder 3 make the water column body by polystyrene PS material parcel respectively and the lead alloy material parcel is made the air cylinder; Wherein the density of polystyrene is 1.05 * 10
3Kg/m
3, bulk modulus: 2.19 * 10
9Pa, the thickness of thin layer
The density of lead alloy is 13.64 * 10
3Kg/m
3, bulk modulus: 28.7 * 10
9Pa, the thickness of thin layer
The generation of sound wave band gap and size mainly are subjected to following factor affecting in the phonon crystal: one, physical parameters such as the mass density of composition medium, elastic constant, acoustic velocity; Two, the geometric configuration of dispersion medium, volume fraction and arrangement orientation; Three, the arrangement architecture of crystal.Can obtain to satisfy the phonon crystal that characteristic frequency requires by regulating and changing these factors.
Based on consideration and the real feasibility requirement of above-mentioned three aspect factor, select the water column body to be arranged in the phonon crystal that constitutes in the mercury.Such as, the water column body that is parallel to each other made periodic arrangement and the two-dimension phonon crystal that constitutes in mercury.In mercury, arrange the phonon crystal structure that form by tetragonal by five layers of water column, even introduce point defect, also can not break the periodicity of system's lattice, so the phonon crystal structure that is made of five layers of water column body can reach requirement.
Beneficial effect of the present invention:
A kind of acoustic energy capture system based on the phonon crystal defective provided by the present invention, its acoustic energy trapping mode novelty, this method makes it produce different defect states by the size of the radius of change defective, thereby capture the acoustic energy in the different frequency scope, the method requires relatively low to technology of preparing, manufacture craft is simple, and designability is strong.
Description of drawings
Fig. 1 represents to be arranged in the two-dimension phonon crystal band structure figure that every five-element five row in the mercury change the radius of defective air cylinders, wherein the filling rate f=0.3 of water column body in single cellular in the structure by the water column body by tetragonal.
Fig. 2 is the cross sectional representation of the embodiment of the invention; Wherein, 1 is mercury, and 2 is the water column body, and 3 is defective air cylinder.
Fig. 3 is that the imperfect tape frequency of corresponding generation in the embodiment of the invention is with the band structure figure of defective air cylinder change in radius.
The imperfect tape P point corresponding acoustic pressure distribution plan of Fig. 4 for producing in the embodiment of the invention.
Embodiment
For be scattered in formed two-dimension phonon crystal in the mercury by the water column body, water column body shape of cross section can be circle, ellipse, square, rectangle, triangle, hexagon etc., the arrangement architecture two-dimensional crystal lattices such as capable quadrilateral, rectangle, square or sexangle of also can making even, analyze as calculated and find, water column body shape of cross section is circular and during by square lattice arrangement, can produce than the obvious defects attitude than cylinder and the crystalline network of other shape; Consider that again defective material also has many types, through the comparison of some defective materials, find under same defect state low density material to be defective material be than high density material that defective material is captured acoustic energy more, so the central defect material we selected air.Present embodiment namely adopts this optimum structure and material, namely in the mercury background water column body is arranged in parallel by square lattice, and the every five-element's five row change the radius of central defect air cylinder in the structure, and radius is got r respectively
d=1.0r
0, r
d=0.7r
0, r
d=0.5r
0, r
d=0.3r
0, r
d=0.
Embodiment: what present embodiment was selected is that (its elastic parameter is water: density p=1.0 * 10
3Kg/m
3, longitudinal wave velocity C
l=1.48 * 10
3M/s) (its elastic parameter is: density p=13.5 * 10 at mercury
3Kg/m
3, longitudinal wave velocity C
l=1.45 * 10
3M/s) the two-dimension phonon crystal that constitutes by aforesaid optimum structure in the background.The band structure of phonon crystal as shown in Figure 1 at this moment.Fig. 2 is the cross sectional representation of the structure of present embodiment, is made up of two five-layer structure unit, and wherein the water column body radius of structure is 0.31a, and the radius of central defect air cylinder is got r respectively
d=1.0r
0, r
d=0.7r
0, r
d=0.5r
0, r
d=0.3r
0, r
d=0, the length of side grating constant of lattice is that a(a is 1～10cm).Fig. 3,4 is respectively the imperfect tape frequency with the corresponding acoustic pressure distribution plan of imperfect tape p point among central defect air cylinder change in radius band structure figure and the band structure figure.This embodiment is simple to the acoustic energy capture system method of the phonon crystal defective that obtains to satisfy certain characteristic frequency and require, designability is strong.
Claims (8)
1. acoustic energy capture system based on the phonon crystal defective is characterized in that:
Described acoustic energy capture system based on the phonon crystal defective is made up of several two-dimensional crystal lattice unit periodic arrangement, and described two-dimensional crystal lattice unit is pressed two-dimensional crystal lattice by the water column body (2) that is parallel to each other and the defective air cylinder (3) that is arranged in the center at mercury and arranged; The radius r of described water column body (2)
0=0.31a, the radius of defective air cylinder (3) is respectively r
d=1.0r
0, r
d=0.7r
0, r
d=0.5r
0, r
d=0.3r
0Or r
d=0, wherein a is grating constant, r
0, r
dBe respectively the radius of water column body (2) and defective air cylinder (3);
At least five layers of the water column bodies of described two-dimensional crystal lattice unit, the grating constant a of described two-dimensional crystal lattice are 1～10cm.
2. the acoustic energy capture system based on the phonon crystal defective as claimed in claim 1 is characterized in that: described acoustic energy capture system based on the phonon crystal defective is made up of the different multilevel-cell stack of one or more density.
3. the acoustic energy capture system based on the phonon crystal defective as claimed in claim 1, it is characterized in that: the arrangement architecture of described two-dimensional crystal lattice unit is parallelogram, rectangle, square or sexangle.
4. the acoustic energy capture system based on the phonon crystal defective as claimed in claim 3 is characterized in that: the arrangement architecture of described two-dimensional crystal lattice unit is square.
5. the acoustic energy capture system based on the phonon crystal defective as claimed in claim 1 is characterized in that: the shape of cross section of above-mentioned water column body (2) and defective air cylinder (3) is circle, ellipse, square, rectangle, triangle or hexagon.
6. the acoustic energy capture system based on the phonon crystal defective as claimed in claim 5 is characterized in that: the shape of cross section of above-mentioned water column body (2) and defective air cylinder (3) is for circular.
7. the acoustic energy capture system based on the phonon crystal defective as claimed in claim 2, it is characterized in that: above-mentioned acoustic energy capture system based on the phonon crystal defective is to be formed by stacking by these three kinds of different unit of density of water, mercury and central defect material air: wherein, the density of water column body is ρ=1.0 * 10
3Kg/m
3, longitudinal wave velocity C
l=1.48 * 10
3M/s, the density of mercury is ρ=13.5 * 10
3Kg/m
3, longitudinal wave velocity C
l=1.45 * 10
3M/s, the density of central defect material air is ρ=1.29Kg/m
3, longitudinal wave velocity C
l=0.34 * 10
3M/s.
8. the acoustic energy capture system based on the phonon crystal defective as claimed in claim 1 is characterized in that: above-mentioned water column body (2) and defective air cylinder (3) make the water column body by polystyrene PS material parcel respectively and the lead alloy material parcel is made the air cylinder; Wherein the density of polystyrene is 1.05 * 10
3Kg/m
3, bulk modulus: 2.19 * 10
9Pa, the thickness of thin layer
The density of lead alloy is 13.64 * 10
3Kg/m
3, bulk modulus: 28.7 * 10
9Pa, the thickness of thin layer
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|---|---|---|---|
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| CN103198824B CN103198824B (en) | 2015-07-08 |
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Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103514873A (en) * | 2013-09-13 | 2014-01-15 | 西安交通大学 | Low-frequency vibration-isolation combined sandwiched structure |
| CN103956159A (en) * | 2014-05-29 | 2014-07-30 | 广东工业大学 | Two-dimensional phonon crystal structure with thermally tunable defect mode |
| CN104464715A (en) * | 2014-11-24 | 2015-03-25 | 广东工业大学 | Phononic crystal beam splitter |
| CN104485098A (en) * | 2014-11-24 | 2015-04-01 | 广东工业大学 | Method for regulating phononic crystal beam splitting efficiency |
| CN105281599A (en) * | 2015-11-27 | 2016-01-27 | 国网江西省电力科学研究院 | Sound energy collector by adopting phonon crystal and electromechanical Helmholtz resonator |
| CN103903607B (en) * | 2014-03-05 | 2016-09-21 | 广东工业大学 | A kind of method regulating phonon crystal directed radiation frequency |
| CN106130403A (en) * | 2016-07-11 | 2016-11-16 | 武汉理工大学 | A kind of composite line defect phonon crystal wide frequency division cloth vibration energy regeneration system |
| CN113050274A (en) * | 2021-03-29 | 2021-06-29 | 温州大学 | Triangular lattice phononic crystal band gap design method based on wavelet boundary element model |
| CN113699907A (en) * | 2021-09-22 | 2021-11-26 | 同济大学 | Two-dimensional phonon crystal type sound barrier with energy supply |
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| US8094023B1 (en) * | 2008-03-10 | 2012-01-10 | Sandia Corporation | Phononic crystal devices |
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| CN102938251A (en) * | 2012-11-16 | 2013-02-20 | 广东工业大学 | Two defect-state-acquired two-dimensional phononic crystal structures |
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| US8094023B1 (en) * | 2008-03-10 | 2012-01-10 | Sandia Corporation | Phononic crystal devices |
| CN102841138A (en) * | 2011-06-24 | 2012-12-26 | 新疆求是信息科技有限公司 | Surface acoustic wave gas sensor based on two-dimensional phonon crystal reflecting grating |
| CN102938251A (en) * | 2012-11-16 | 2013-02-20 | 广东工业大学 | Two defect-state-acquired two-dimensional phononic crystal structures |
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Cited By (12)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103514873A (en) * | 2013-09-13 | 2014-01-15 | 西安交通大学 | Low-frequency vibration-isolation combined sandwiched structure |
| CN103514873B (en) * | 2013-09-13 | 2015-12-09 | 西安交通大学 | A kind of low frequency vibration isolation composite sandwich structural |
| CN103903607B (en) * | 2014-03-05 | 2016-09-21 | 广东工业大学 | A kind of method regulating phonon crystal directed radiation frequency |
| CN103956159A (en) * | 2014-05-29 | 2014-07-30 | 广东工业大学 | Two-dimensional phonon crystal structure with thermally tunable defect mode |
| CN104464715A (en) * | 2014-11-24 | 2015-03-25 | 广东工业大学 | Phononic crystal beam splitter |
| CN104485098A (en) * | 2014-11-24 | 2015-04-01 | 广东工业大学 | Method for regulating phononic crystal beam splitting efficiency |
| CN104464715B (en) * | 2014-11-24 | 2017-12-29 | 广东工业大学 | A kind of phonon crystal beam splitter |
| CN105281599A (en) * | 2015-11-27 | 2016-01-27 | 国网江西省电力科学研究院 | Sound energy collector by adopting phonon crystal and electromechanical Helmholtz resonator |
| CN106130403A (en) * | 2016-07-11 | 2016-11-16 | 武汉理工大学 | A kind of composite line defect phonon crystal wide frequency division cloth vibration energy regeneration system |
| CN113050274A (en) * | 2021-03-29 | 2021-06-29 | 温州大学 | Triangular lattice phononic crystal band gap design method based on wavelet boundary element model |
| CN113050274B (en) * | 2021-03-29 | 2022-06-21 | 温州大学 | Triangular lattice phononic crystal band gap design method based on wavelet boundary element model |
| CN113699907A (en) * | 2021-09-22 | 2021-11-26 | 同济大学 | Two-dimensional phonon crystal type sound barrier with energy supply |
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