CN101989422A - Non-convex section hole-containing phononic functional material structure and manufacturing method thereof - Google Patents
Non-convex section hole-containing phononic functional material structure and manufacturing method thereof Download PDFInfo
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- CN101989422A CN101989422A CN2010105379868A CN201010537986A CN101989422A CN 101989422 A CN101989422 A CN 101989422A CN 2010105379868 A CN2010105379868 A CN 2010105379868A CN 201010537986 A CN201010537986 A CN 201010537986A CN 101989422 A CN101989422 A CN 101989422A
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Abstract
The invention discloses a non-convex section hole-containing phononic functional material structure and a manufacturing method thereof. The phononic functional material structure with wider acoustic band gap is achieved by the following steps of: determining a proper lattice constant according to the requirements of acoustic characteristic of the structure; based on the determined lattice constant, calculating the size of the non-convex section according to porosity required by the structure; and adjusting the symmetry of the non-convex section holes to ensure that the holes are formed in a dense structure along the periodic direction of the structure. The phononic functional material structure consists of the non-convex section holes which are distributed periodically. The structure achieves the wider acoustic band gap by introducing the non-convex section holes under the condition of determining the porosity of the structure and designing the size and the symmetry of the holes. The structure has the advantages that: the structure achieves the wider acoustic band gap while meeting the requirements of the acoustic characteristic of the structure; and the structure only contains the non-convex section holes which are periodically distributed and is simple to machine.
Description
Technical field
The present invention relates to a kind of phonon functional material structure and method for making that contains hole, non-convex cross section, belong to Condensed Matter Physics, related to fields such as machinery, acoustics, mechanics and materialogy.
Background technology
For aspects such as Aeronautics and Astronautics labour highly sophisticated device, its requirement to machining precision and operating accuracy is all very high.On the one hand, need provide the processing environment of the friction in the certain frequency scope, guarantee the higher processing precision requirement for high-accuracy system of processing; On the other hand, provide the environment of the chatter-free operation in the certain frequency scope, improve operating accuracy and reliability, prolong its mission life simultaneously for specific apparatus or equipment.Therefore, the friction environment that how to obtain in the particular frequency range becomes the key problem that the frequency control worker faces.
In recent years, a kind of artificial periodicity composite structure-phonon crystal gets more and more people's extensive concerning.Wherein the elastic wave of Chuan Boing may produce the phonon band gap owing to be subjected to the periodic modulation of elastic constant, and promptly the elastic wave propagation of certain frequency scope is suppressed.This acoustic characteristic of phonon crystal makes it be with a wide range of applications, and for example is used for damping noise reduction, new acoustic filter, the frequency separator of making of environment, coupling mechanism, acoustic duct etc.Therefore, phonon crystal has become one of materialogy, physics, acoustics, mechanics and other related discipline active research field.
The existence of phonon band gap is the basis of phonon crystal widespread use, this will ask for help understand the modulation mechanism of phonon crystal band gap.Studies show that the phonon crystal band gap mainly is subjected to the influence of material parameter and geometrical parameters, wherein various phonon crystals provide possibility to Feng Fu geometric parameter for we design.For the phonon crystal of being made up of the hole (vacuum or filling air) of periodic arrangement, its band gap properties is mainly decided by geometrical parameters, receives much concern because making simple.A large amount of scientific workers study such phonon crystal, but mainly consider the situation in protruding section type hole, and will obtain the bigger porosity of acoustics band gap needs of broad.
Summary of the invention
In order to overcome the deficiency that existing structure can not acoustic characteristic under set porosity requires, the object of the present invention is to provide a kind of novel phonon functional material structure and method for making that contains hole, non-convex cross section.This structure not only can satisfy the requirement of structural acoustic characteristic under set porosity, reach the effect of sound insulation vibration damping, and can obtain the acoustics band gap of broad.
The technical solution adopted for the present invention to solve the technical problems is:
A kind of novel phonon functional material structure that contains hole, non-convex cross section is made up of hole, non-convex cross section periodic arrangement.
Hole, non-convex cross section is the solid matter form in the structural cycle direction and arranges.
The area in hole, non-convex cross section is determined by the structural acoustic characteristic, is that standard is determined its concrete size with the acoustics band gap that obtains broad.
A kind of method for making that contains the novel phonon functional material structure in hole, non-convex cross section, contain following steps:
According to the requirement of structural acoustic characteristic, determine suitable grating constant; On this basis, according to the porosity of structural requirement, calculate the size in non-convex cross section; Adjust the symmetry in hole, non-convex cross section, make it on the structural cycle direction, be the solid matter structure, thereby reach the phonon functional material structure that obtains broad acoustics band gap.
Specifically further comprising the steps of:
Step 1; Determining of grating constant: practical structures requires to have the forbidden band effect in certain acoustics frequency range, but since result's nondimensionalization, the acoustics frequency f
AcousticA is inverse relation with grating constant, i.e. f
Acoustic=Ω * c
t/ a (Ω is nondimensional reduced frequency or reduced frequency) is so determining of grating constant should be standard with the acoustic characteristic that satisfies structural requirement;
c
tBe transverse wave speed in the matrix;
Step 2; Determining of non-convex cross section hole dimension: the porosity of note structure is f, and the sectional area in hole, non-convex cross section is A
s, the area of a primitive unit cell of phonon functional material is A, then A
s=c
2-(c-b)
2, A=a
2, f=A
s/ A=(c
2-(c-b)
2)/a
2=(2bc-b
2)/a
2, wherein b and c are the hole sectional dimension; According to the porosity f and the definite grating constant a of step 1 of structural requirement, and utilize above-mentioned formula, obtain the relation of hole sectional dimension b and c, change the convex-concave characteristic in hole by the size of adjusting b and c; This is to make structure obtain an adequate condition of broad acoustics band gap;
Step 3; The design of structural symmetry: the hole of determining for step 2, non-convex cross section, adjust the axis of symmetry direction in hole by rotary manipulation, make the hole be the solid matter form and distribute, even adjacent arbitrarily hole is minimum in the distance of structural cycle direction in the structural cycle direction;
Step 4; The making of novel phonon functional material structure: the hole sectional dimension of determining according to step 2 and the structural symmetry of step 3 design, on the matrix material that requires, punching; Hole, non-convex cross section is by tetragonal and be the distribution of solid matter form, and centre of form distance in adjacent holes cross section is a;
Step 5; For of the requirement of different structures, determine suitable grating constant to acoustic characteristic; Afterwards, repeating step 2 according to the requirement of structure porosity (f＜0.5), is determined the size in this hole, non-convex cross section; Follow complete repeating step 3 and 4, carry out the design of structural symmetry and the making of material structure, can be met the novel phonon functional material structure of this requirement.
The invention has the beneficial effects as follows, when satisfying the requirement of structural acoustic characteristic, obtain the acoustics band gap of broad, only contain the hole, non-convex cross section of periodic distribution in the structure, processing is simple.
Description of drawings
When considered in conjunction with the accompanying drawings, by the reference following detailed, can more completely understand the present invention better and learn wherein many attendant advantages easily, but accompanying drawing described herein is used to provide further understanding of the present invention, constitute a part of the present invention, illustrative examples of the present invention and explanation thereof are used to explain the present invention, do not constitute to improper qualification of the present invention, wherein:
Fig. 1 is a schematic diagram of the present invention.
Fig. 2 is the synoptic diagram in hole, non-convex cross section.
Fig. 3 is the synoptic diagram that contains a primitive unit cell of the novel phonon functional material in hole, non-convex cross section.
Fig. 4 is the structural map that contains the novel phonon functional material in hole, non-convex cross section.
Fig. 5 is the band structure figure (hole, convex cross section) of first embodiment.
Fig. 6 is the band structure figure (hole, non-convex cross section) of first embodiment.
Fig. 7 is the band structure figure (hole, convex cross section) of second embodiment.
Fig. 8 is the band structure figure (hole, non-convex cross section) of second embodiment.
Embodiment
Referring to figs. 1 through Fig. 8 embodiments of the invention are described.
Obviously, the many modifications and variations done based on aim of the present invention of those skilled in the art belong to protection scope of the present invention.
Embodiment 1:
Contain the method for making of the novel phonon functional material structure in hole, non-convex cross section, it is characterized in that specifically further comprising the steps of:
Step 1; Determining of grating constant: in phonon functional material band structure figure, horizontal ordinate is a wave vector, and ordinate is a frequency; Usually use the matrix medium wavelength to equal the pairing frequency (c of ripple of grating constant
t/ a, c
tBe transverse wave speed in the matrix, a is a square grating constant of arranging the phonon functional material shown in Figure 3, be the length of side of phonon functional material primitive unit cell shown in Figure 4) as benchmark the occurrence of eigenfrequency (Hz) is carried out simplification, obtain nondimensional reduced frequency or reduced frequency (being designated as Ω), this just makes result of calculation and concrete grating constant irrelevant.Practical structures requires to have the forbidden band effect in certain acoustics frequency range, but since result's nondimensionalization, the acoustics frequency f
AcousticA is inverse relation with grating constant, i.e. f
Acoustic=Ω * c
t/ a is so determining of grating constant should be standard with the acoustic characteristic that satisfies structural requirement.
Step 2; Determining of non-convex cross section hole dimension: the porosity of note structure is f, and the sectional area in hole, non-convex cross section is A
s, the area of a primitive unit cell of phonon functional material is A, then A
s=c
2-(c-b)
2, A=a
2, f=A
s/ A=(c
2-(c-b)
2)/a
2=(2bc-b
2)/a
2, wherein b and c are hole sectional dimension shown in Figure 2.According to the porosity f and the definite grating constant a of step 1 of structural requirement, and utilize above-mentioned formula, can obtain the relation of hole sectional dimension b and c, change the convex-concave characteristic in hole by the size of adjusting b and c.This is to make structure obtain an adequate condition of broad acoustics band gap.
Step 3; The design of structural symmetry: the hole of determining for step 2, non-convex cross section, adjust the axis of symmetry direction in hole by rotary manipulation, as shown in Figure 4.Can make the hole be the solid matter form like this and distribute, even adjacent arbitrarily hole is minimum in the distance of structural cycle direction in the structural cycle direction.This is to make structure obtain the another adequate condition of broad acoustics band gap.
Step 4; The making of novel phonon functional material structure: the hole sectional dimension of determining according to step 2 and the structural symmetry of step 3 design, on the matrix material that requires, punching.Hole, non-convex cross section is by tetragonal and be the distribution of solid matter form, and centre of form distance in adjacent holes cross section is a.
Step 5; The applicability of method:, determine suitable grating constant for of the requirement of different structures to acoustic characteristic.Afterwards, the work of repeating step 2 according to the requirement of structure porosity (f＜0.5), is determined the size in this hole, non-convex cross section.Follow the work in complete repeating step 3 and 4, carry out the design of structural symmetry and the making of material structure, can be met the novel phonon functional material structure of this requirement.
Embodiment 2:
In Fig. 1, when determining the grating constant of structure, satisfy requirement to the structural acoustic characteristic; The hole schematic cross-section as shown in Figure 2, porosity as requested and the grating constant of determining, determine the relation of hole sectional dimension, by the size of adjustment hole sectional dimension and the symmetry of structure, form the novel phonon functional material structure that contains hole, non-convex cross section as shown in Figure 3, to satisfy the hole this moment and be the arrangement of solid matter form, Figure 4 shows that the primitive unit cell synoptic diagram of Fig. 3 in the structural cycle direction.
In Fig. 5, embodiment shown in Figure 6, porosity is 0.3675, and left side figure is hole, convex cross section, and right side figure is hole, non-convex cross section.Horizontal ordinate is the reduced wave vector amount among the figure, and ordinate is a reduced frequency, and dash area is represented complete acoustics band gap (i.e. the propagation of sound wave in structure in this frequency range is suppressed).For hole, convex cross section, structure does not have band gap and produces.For hole, non-convex cross section, structure has produced two complete band gaps, and bandwidth is respectively Δ ω
1=0.3 (a/c
t) and Δ ω
2=0.12 (a/c
t).
In Fig. 7, embodiment shown in Figure 8, porosity is 0.45, and left side figure is hole, convex cross section, and right side figure is hole, non-convex cross section.For hole, convex cross section, structure produces a complete band gap, and bandwidth is Δ ω=0.1 (a/c
t).For hole, non-convex cross section, there are two complete band gaps to produce, bandwidth is respectively Δ ω
1=0.29 (a/c
t) and Δ ω
2=0.11 (a/c
t).
By above two embodiment as can be seen, under the identical situation of porosity, the introducing in hole, non-convex cross section moves down the lower boundary that makes minimum band gap of structure, thereby makes structure obtain the acoustics band gap of broad.
As mentioned above, embodiments of the invention are explained, but as long as not breaking away from inventive point of the present invention and effect in fact can have a lot of distortion, this will be readily apparent to persons skilled in the art.Therefore, such variation also all is included within protection scope of the present invention.
Claims (5)
1. method for making that contains the phonon functional material structure in hole, non-convex cross section is characterized in that containing following steps:
According to the requirement of structural acoustic characteristic, determine suitable grating constant; On this basis, according to the porosity of structural requirement, calculate the size in non-convex cross section; Adjust the symmetry in hole, non-convex cross section, make it on the structural cycle direction, be the solid matter structure, thereby reach the phonon functional material structure that obtains broad acoustics band gap.
2. the method for making that contains the phonon functional material structure in hole, non-convex cross section according to claim 1 is characterized in that further comprising the steps of:
Step 1; Determining of grating constant: practical structures requires to have the forbidden band effect in certain acoustics frequency range, but since result's nondimensionalization, the acoustics frequency f
AcousticA is inverse relation with grating constant, i.e. f
Acoustic=Ω * c
t/ a (Ω is nondimensional reduced frequency or reduced frequency) is so determining of grating constant should be standard with the acoustic characteristic that satisfies structural requirement; c
tBe transverse wave speed in the matrix;
Step 2; Determining of non-convex cross section hole dimension: the porosity of note structure is f, and the sectional area in hole, non-convex cross section is A
s, the area of a primitive unit cell of phonon functional material is A, then A
s=c
2-(c-b)
2, A=a
2, f=A
s/ A=(c
2-(c-b)
2)/a
2=(2bc-b
2)/a
2, wherein b and c are the hole sectional dimension; According to the porosity f and the definite grating constant a of step 1 of structural requirement, and utilize above-mentioned formula, obtain the relation of hole sectional dimension b and c, change the convex-concave characteristic in hole by the size of adjusting b and c; This is to make structure obtain an adequate condition of broad acoustics band gap;
Step 3; The design of structural symmetry: the hole of determining for step 2, non-convex cross section, adjust the axis of symmetry direction in hole by rotary manipulation, make the hole be the solid matter form and distribute, even adjacent arbitrarily hole is minimum in the distance of structural cycle direction in the structural cycle direction;
Step 4; The making of novel phonon functional material structure: the hole sectional dimension of determining according to step 2 and the structural symmetry of step 3 design, on the matrix material that requires, punching; Hole, non-convex cross section is by tetragonal and be the distribution of solid matter form, and centre of form distance in adjacent holes cross section is a;
Step 5; For of the requirement of different structures, determine suitable grating constant to acoustic characteristic; Afterwards, repeating step 2 according to the requirement of structure porosity (f＜0.5), is determined the size in this hole, non-convex cross section; Follow complete repeating step 3 and 4, carry out the design of structural symmetry and the making of material structure, can be met the phonon functional material structure of this requirement.
3. the phonon functional material structure that method according to claim 1 and 2 is made is characterized in that: hole, non-convex cross section is the solid matter form in the structural cycle direction and arranges.
4. the phonon functional material structure that method according to claim 1 and 2 is made is characterized in that: be made up of hole, non-convex cross section periodic arrangement.
5. the phonon functional material structure that method according to claim 1 and 2 is made is characterized in that: the area in hole, non-convex cross section is determined by the structural acoustic characteristic, is that standard is determined its concrete size with the acoustics band gap that obtains broad.
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| Application Number | Priority Date | Filing Date | Title |
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| CN2010105379868A CN101989422A (en) | 2010-11-10 | 2010-11-10 | Non-convex section hole-containing phononic functional material structure and manufacturing method thereof |
| CN2011100754344A CN102169688B (en) | 2010-11-10 | 2011-03-28 | Phonon function material structure containing non-convex type section holes and making method thereof |
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|---|---|---|---|
| CN2010105379868A CN101989422A (en) | 2010-11-10 | 2010-11-10 | Non-convex section hole-containing phononic functional material structure and manufacturing method thereof |
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| CN101989422A true CN101989422A (en) | 2011-03-23 |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102708852A (en) * | 2012-05-14 | 2012-10-03 | 北京交通大学 | Three-phase phonon functional material structure comprising comb-type interlayer and manufacturing method |
| CN103546117A (en) * | 2012-07-17 | 2014-01-29 | 中国科学院声学研究所 | Two-dimensional piezoelectric photonic crystal radio frequency acoustic wave guide |
| CN103730108A (en) * | 2014-01-09 | 2014-04-16 | 北京交通大学 | Macroporosity phonon functional material structure with multi-band wide band gaps and manufacture method thereof |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102708853B (en) * | 2012-05-15 | 2014-05-28 | 北京交通大学 | Three-dimensional phonon functional material structure comprising resonance units and manufacturing method thereof |
| CN113108002B (en) * | 2021-04-23 | 2022-12-13 | 天津大学 | Stereo-form photonic crystal vibration isolation and noise reduction device with particle damping characteristic |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN1797541A (en) * | 2004-12-21 | 2006-07-05 | 广东工业大学 | Acoustic construction of 2D phonon crystal |
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2010
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102708852A (en) * | 2012-05-14 | 2012-10-03 | 北京交通大学 | Three-phase phonon functional material structure comprising comb-type interlayer and manufacturing method |
| CN102708852B (en) * | 2012-05-14 | 2014-02-26 | 北京交通大学 | Three-phase phonon functional material structure comprising comb-type interlayer and manufacturing method |
| CN103546117A (en) * | 2012-07-17 | 2014-01-29 | 中国科学院声学研究所 | Two-dimensional piezoelectric photonic crystal radio frequency acoustic wave guide |
| CN103546117B (en) * | 2012-07-17 | 2017-05-10 | 中国科学院声学研究所 | Two-dimensional piezoelectric photonic crystal radio frequency acoustic wave guide |
| CN103730108A (en) * | 2014-01-09 | 2014-04-16 | 北京交通大学 | Macroporosity phonon functional material structure with multi-band wide band gaps and manufacture method thereof |
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| Publication number | Publication date |
|---|---|
| CN102169688A (en) | 2011-08-31 |
| CN102169688B (en) | 2012-10-31 |
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Open date: 20110323 |