CN110335581A - A kind of three-dimensional gradient periodic structure plate with multiple band gap properties - Google Patents
A kind of three-dimensional gradient periodic structure plate with multiple band gap properties Download PDFInfo
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- G—PHYSICS
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- 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
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- 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
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Abstract
The present invention relates to a kind of three-dimensional gradient periodic structure plate with multiple band gap properties, including multi-layer solid plate matrix, and it is arranged according to periodicity or relaxed periodicity the scatterer short column of the m row n column of every laminate protrusions setting；Three-dimensional periodic structure plate is built up by the periodic structure sheetpile of multi-group short column in this way.The radius of raised short column or side length can be constant or be expert at or column direction is gradually changed according to a certain function rule on same laminate；In the height direction, height, radius or the side length of each layer protrusion short column gradually become smaller or become larger according to a certain function rule, form three-dimensional gradient periodic structure plate.Every layer of periodic structure plate all has respective band gap properties, i.e., the elastic wave or sound wave in certain frequencies will significantly be inhibited when propagating in plate.This periodic structure can realize the integrated design of structure and vibrating isolation system, and have that light weight, isolation frequency be wide, high reliability, be with a wide range of applications in engineering vibration isolation field.
Description
Technical field
The present invention relates to a kind of periodic structures, tie more particularly to a kind of three-dimensional gradient period with multiple band gap properties
Structure plate.
Background technique
Periodic structure plate is a kind of limited phonon crystal in space, and the concept of phonon crystal is by photonic crystal the deduction of conception
, the arrangement mode of mineral crystal atom is both simulated, there is certain periodic structure.Not by two or more
Medium with resilient nature is formed in space periodicity nesting and there are the composite materials of elastic wave band gaps or structure to be known as phonon
Crystal.It is the most important characteristic of phonon crystal there are elastic wave band gaps, the Physical Mechanism for generating elastic wave band gaps mainly has
Two kinds: Bragg diffraction mechanism and local Resonance Mechanism.The formation of both band gap is all due to structural periodicity and single scattering
The Mie of body scatters coefficient as a result, it is the leading work of interaction (periodicity) of each repetitive unit that difference, which is only in that,
With, or individually the resonance of scatterer plays a leading role.
Vibration and noise reducing may be implemented in the band gap properties of periodic structure plate.It can be from inhibition vibration source intensity, vibration isolation, weakening three
Aspect achievees the purpose that vibration and noise reducing.By using for reference the periodical design for improving vibration source of phonon crystal, available one kind
Vibration source with band gap properties.In terms of vibration isolation, the vibration isolator that can use photonic crystal structure carries out active vibration isolation or passive
Vibration isolation realizes that effective inhibition of vibration is even isolated with this.Using the physical mechanism of locally resonant type phonon crystal, by beam
Additional cycle oscillator structure on plate structure absorbs the kinetic energy of vibrational system.Vibration and noise reducing is machined with for high-accuracy
Significance can provide processing environment without friction for high-accuracy machining system, guarantee higher machining accuracy；It can also be with
The working environment not vibrated is provided for instrument and equipment, so that precision when improving work, extends their service life.
Locally resonant phonon crystal is mainly disadvantageous in that working frequency can be only positioned in a relatively narrow range.For
Overcome this deficiency, we can construct the phonon crystal board group by multi-group short column at three-dimensional structure.This structure
Flexibility allows us to prepare the increasingly complex structure with expectation function by adjusting geometrical property, and each layer can
To work in different frequency ranges, thus the operating frequency range of entire locally resonant phonon crystal is just widened significantly.
Summary of the invention
Technical problem: the object of the present invention is to provide a kind of three-dimensional gradient periodic structure plate with multiple band gap properties.
By the way that multilayer phonon crystal sheetpile gathers into folds, and change along short transverse the geometric dimension of every layer of raised scatterer, composition
Three-dimensional periodic structure plate just there are multiple band gap properties, extend the width of band gap.Vibration shape within the scope of bandgap frequency
Formula cannot be by the periodic structure plate, therefore can be applied to vibration damping and vibration isolation field.
Technical solution: the present invention is a kind of three-dimensional gradient periodic structure plate with multiple band gap properties, the three-dimensional gradient
Periodic structure plate includes substrates multilayer plate and is arranged in the substrates multilayer plate protrusions according to periodicity or relaxed periodicity
The scatterer short column of the m row n column of setting, builds up three-dimensional periodic structure by the multilayered cylindrical shell sheetpile with scatterer short column
Plate.
Wherein,
The cross sectional shape of the scatterer short column of the protrusion is the geometries such as round, oval, polygon or hollow pipe；
The smallest repetitive unit of composition periodic structure is called unit cell, and the spread geometry between each unit cell is triangle or other are polygon
Shape.
The scatterer short column, the material of same layer, height are identical with spread pattern, radius or side length it is identical or be expert at or
Person's column direction is gradually changed according to a certain function rule.
The thickness of the periodic structure plate, the periodic structure plate of different layers is identical or successively to become along every layer of short transverse
Change；Height, radius or the side length of raised scatterer short column gradually change between layers, according to linear change or power exponent
Variation；The material of different layers scatterer short column is identical with arrangement mode or not identical.
The periodic structure plate, material are metal, concrete, ceramics or fibre reinforced composites, scatterer short column
Material be rubber or epoxy resin.
It is used between the periodic structure plate top surface and scatterer short column and scatterer short column and periodic structure board bottom face
The connection type pasted or welded.
The utility model has the advantages that compared with prior art, present invention has the advantage that
1) the periodic structure plate can be used for vibration and noise reducing, can prevent specific frequency using the band gap properties of phonon crystal
The propagation of elastic wave or sound wave, achievees the purpose that vibration and noise reducing in range.
2) traditional elastic wave or sound wave calibrating element size is big and cost is high, compared with traditional acoustic material, the period
Structural slab has many advantages, such as that frequency can design, is with strong points, size is small, effect is good.It is easy to make simultaneously, it is convenient for standard metaplasia
It produces.
3) traditional periodic structure working frequency generally can be only positioned in a relatively narrow range, and the multi-layer three-dimension period ties
The each layer of structure can work in different frequency ranges, thus the operating frequency range of entire three-dimensional periodic structure plate is just big
It widens greatly, broader three-dimensional band gap can be obtained in this way.
Detailed description of the invention
Fig. 1 a is the bottom of the present invention up gradually smaller three-dimensional gradient period hardened composition of short column height；
Fig. 1 b is the bottom of the present invention up gradually smaller three-dimensional gradient period hardened composition of short column radius；
Fig. 1 c is bottom of the present invention up short column radius and the gradually smaller three-dimensional gradient period hardened composition of height；
Fig. 1 d be same layer short column of the present invention in a column direction short column radius become larger and meanwhile bottom up short column height by
The small three-dimensional gradient period hardened composition of gradual change；
Fig. 2 is the explosive view of three-dimensional gradient periodic structure plate of the present invention；
Fig. 3 is the structure chart of the unit cell of period plate of the invention；
Fig. 4 is between each unit cell of the present invention according to the top view of the periodic structure plate of equilateral triangle arrangement；
Fig. 5 is that the scatterer of present invention protrusion is square the hardened composition of three-dimensional periodic of short column；
Fig. 6 is the transfer curve figure of three-dimensional gradient periodic structure plate of the present invention；
Have in figure: plate matrix 1, short column scatterer 2.
Specific embodiment
Forming method of the invention is as follows:
The short column of m row n column is arranged on parent plate according to periodicity or relaxed periodicity arrangement protrusion；The short column of protrusion can
To be cylinder, cuboid or gengon.The smallest repetitive unit of periodic structure is known as unit cell, the arrangement mode between each unit cell
It can be square, triangle or other polygons.The material of short column can be rubber or epoxy resin, the material of parent plate
It can be metal, concrete, ceramics or fibre reinforced composites.It using welding or can be pasted between short column and parent plate
Mode be attached.
The material of same layer, height are identical with spread pattern, and radius or side length are identical or be expert at or column direction is according to a certain
Function rule gradually changes.Further according to the periodic structure plate for needing to be arranged h layers, the raised short column of the periodic structure plate of different layers
Side length, radius or height gradually change.The material and arrangement mode of different layers protrusion short column can be the same or different.And
And be attached between the periodic structure plate of different layers by welding or adhesives, it is consequently formed with multiple band gap
Three-dimensional periodic structure plate.
With reference to the accompanying drawing, by embodiment, invention is further described in detail:
Periodic structure, also known as phonon crystal, wherein mutually non-conterminous part is known as scatterer, part interconnected claims
For matrix.Wherein one-dimensional phonon crystal is the stratiform or rod-like structure being made of two kinds of materials arranged in alternating；Two-dimension phonon crystal
It is that the two-dimensionally periodic structure constituted among matrix is arranged in parallel within by column scatterer, wherein the section of column scatterer mainly has
Circle, square etc., arrangement mode have square, triangle etc.；Three-dimensional phonon crystal is existed by spherical scatterer periodic arrangement
The three-dimensional space lattice structure formed among matrix, structure type have simple cubic structure, face-centred cubic structure, body-centered cubic knot
Structure etc..What the present invention introduced is exactly two-dimensionally periodic structure.The distance at the center of scatterer to adjacent scatterer center is known as lattice
Constant.
Ideal periodic structure model is generally acknowledged that also there is infinite size in aperiodicity direction, and this hypothesis only exists
Incident wavelength is much smaller than just reasonable when aperiodic direction size.Quickly due to solid material Propagation of Elastic Wave speed, practical work
The structures such as widely used beam slab are not satisfied this requirement in journey, thus aperiodic direction be the periodic structure of finite size more
It is of practical significance.
The it is proposed of phonon crystal concept provides a kind of new approaches to solve vibration and noise problem.Phonon crystal is a kind of
Artificial cycle material with elastic wave band gaps characteristic, vibration mode within the scope of bandgap frequency cannot by phonon crystal,
Therefore it can be applied to vibration damping and vibration isolation field.Compared with traditional active and passive vibration isolation, photonic crystal structure can realize structure with every
The integrated design of vibrating system, and have that light weight, isolation frequency be wide, high reliability, have in engineering vibration isolation field
Have wide practical use.
Embodiment 1:
As shown in Fig. 1 a, 2,3, the present embodiment is a kind of three-dimensional gradient periodic structure plate with multiple band gap properties.It is single
Square arrangement is used between born of the same parents, lattice constant is set as a1, protrusion setting m arranges the cylindrical short column of n column on every laminate, same
Short column material, size, the arrangement mode of layer are all identical.H layers of three-dimensional periodic structure plate is set, from bottom to the height of top layer short column
It spends from h1H is changed to by a certain function rule2.Multilayered cylindrical shell plate is linked together by welding or adhesives, shape
At three-dimensional gradient periodic structure plate.
Embodiment 2:
As shown in Fig. 1 b, 2,3, the present embodiment is a kind of three-dimensional gradient periodic structure plate with multiple band gap properties.It is single
Square arrangement is used between born of the same parents, lattice constant is set as a1, protrusion setting m arranges the cylindrical short column of n column on every laminate, same
Short column material, size, the arrangement mode of layer are all identical.H layers of three-dimensional periodic structure plate is set, half from bottom to top layer short column
Diameter is from r1R is changed to by a certain function rule2.Multilayered cylindrical shell plate is linked together by welding or adhesives, shape
At three-dimensional gradient periodic structure plate.
Embodiment 3:
As shown in Fig. 1 c, 2,3, the present embodiment is a kind of three-dimensional gradient periodic structure plate with multiple band gap properties.It is single
Square arrangement is used between born of the same parents, lattice constant is set as a1, protrusion setting m arranges the cylindrical short column of n column on every laminate, same
Short column material, size, the arrangement mode of layer are all identical.H layers of three-dimensional periodic structure plate is set, half from bottom to top layer short column
Diameter is from r1R is changed to by a certain function rule2, highly from h1H is changed to by a certain function rule2.Multilayered cylindrical shell plate passes through
Welding or adhesives link together, and form three-dimensional gradient periodic structure plate.
Embodiment 4:
As shown in Figure 3,4, equilateral triangle arrangement, lattice are used between the three-dimensional gradient periodic structure plate unit cell of the present embodiment
Constant is set as a1, protrusion setting m arranges the cylindrical short column of n column, the short column material of same layer, size, arrangement side on every laminate
Formula is all identical.H layers of three-dimensional periodic structure plate is set, from bottom to the height of top layer short column from h1Change by a certain function rule
To h2.Multilayered cylindrical shell plate is linked together by welding or adhesives, forms three-dimensional gradient periodic structure plate.
Embodiment 5:
As shown in Fig. 3,5, square arrangement is used between the three-dimensional gradient periodic structure plate unit cell of the present embodiment, lattice is normal
Number is set as a1, protrusion setting m arranges the cuboid short column of n column, short column material, size, the arrangement mode of same layer on every laminate
It is all identical.H layers of three-dimensional periodic structure plate is set, from bottom to the height of top layer short column from h1It is changed to by a certain function rule
h2.Multilayered cylindrical shell plate is linked together by welding or adhesives, forms three-dimensional gradient periodic structure plate.
As shown in fig. 6, being the transfer curve figure of three-dimensional gradient periodic structure plate of the present invention.The calculation formula used for
Amplitude-frequency response functionp1For incidence end or the physical quantity at excitation end, p2For exit end or the object of responder
Reason amount.Theoretically propagation of the receptance function less than elastic wave incident in 0 corresponding frequency range can be decayed.
Every layer of the main of locally resonant periodic structure plate is disadvantageous in that working frequency can be only positioned at a relatively narrow model
In enclosing.In order to overcome this deficiency, constructed phonon crystal board group by multi-group short column at three-dimensional structure.This structure
Flexibility allow us to prepare the increasingly complex structure with expectation function, each layer by adjusting geometrical property
It can work in different frequency ranges, thus the operating frequency range of entire locally resonant phonon crystal is just widened significantly
?.
The above is only a preferred embodiment of the present invention, it should be pointed out that: for the ordinary skill people of the art
For member, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also answered
It is considered as protection scope of the present invention.
Claims (6)
1. a kind of three-dimensional gradient periodic structure plate with multiple band gap properties, which is characterized in that the three-dimensional gradient periodic structure
Plate includes substrates multilayer plate (1) and is arranged in substrates multilayer plate (1) protrusions according to periodicity or relaxed periodicity and sets
The scatterer short column (2) for the m row n column set builds up three-dimensional periodic knot by the multilayered cylindrical shell sheetpile with scatterer short column (2)
Structure plate.
2. a kind of three-dimensional gradient periodic structure plate with multiple band gap properties according to claim 1, which is characterized in that
The cross sectional shape of the scatterer short column (2) of the protrusion is the geometries such as round, oval, polygon or hollow pipe；Composition
The smallest repetitive unit of periodic structure is called unit cell, and the spread geometry between each unit cell is triangle or other polygons.
3. a kind of three-dimensional gradient periodic structure plate with multiple band gap properties according to claim 1, which is characterized in that
The scatterer short column (2), the material of same layer, height are identical with spread pattern, and radius or side length are identical or in row or column
Direction is gradually changed according to a certain function rule.
4. a kind of three-dimensional gradient periodic structure plate with multiple band gap properties according to claim 1, which is characterized in that
The thickness of the periodic structure plate (1), the periodic structure plate (1) of different layers is identical or successively to change along every layer of short transverse；
Height, radius or the side length of raised scatterer short column (2) gradually change between layers, according to linear change or power exponent
Variation；The material of different layers scatterer short column (2) is identical with arrangement mode or not identical.
5. a kind of three-dimensional gradient periodic structure plate with multiple band gap properties according to claim 1, which is characterized in that
The periodic structure plate (1), material are metal, concrete, ceramics or fibre reinforced composites, scatterer short column (2)
Material is rubber or epoxy resin.
6. a kind of three-dimensional gradient periodic structure plate with multiple band gap properties according to claim 1, which is characterized in that
Between periodic structure plate (1) top surface and scatterer short column (2) and scatterer short column (2) and periodic structure plate (1) bottom surface
Using the connection type pasted or welded.
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| CN110984436A (en) * | 2019-12-20 | 2020-04-10 | 深圳市奇信集团股份有限公司 | Partition board and preparation and installation method of building partition wall thereof |
| CN111667808A (en) * | 2020-05-29 | 2020-09-15 | 哈尔滨工程大学 | Low-frequency broadband quasi-periodic sound insulation structure with variable impedance and thickness gradient |
| CN113502761A (en) * | 2021-06-21 | 2021-10-15 | 山西省交通科技研发有限公司 | Three-dimensional defect state viscoelastic phononic crystal type sound barrier based on 3D printing |
| CN114775830A (en) * | 2022-06-22 | 2022-07-22 | 中国建筑第六工程局有限公司 | Building shock insulation rubber support based on phonon crystal |
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