CN116145847A - Phonon crystal sandwich beam structure based on energy band folding - Google Patents
Phonon crystal sandwich beam structure based on energy band folding Download PDFInfo
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- 239000000178 monomer Substances 0.000 claims abstract description 46
- 239000004038 photonic crystal Substances 0.000 claims abstract description 40
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- 230000009467 reduction Effects 0.000 abstract description 18
- 230000001629 suppression Effects 0.000 abstract description 14
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B1/00—Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
- E04B1/62—Insulation or other protection; Elements or use of specified material therefor
- E04B1/92—Protection against other undesired influences or dangers
- E04B1/98—Protection against other undesired influences or dangers against vibrations or shocks; against mechanical destruction, e.g. by air-raids
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B1/00—Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
- E04B1/62—Insulation or other protection; Elements or use of specified material therefor
- E04B1/74—Heat, sound or noise insulation, absorption, or reflection; Other building methods affording favourable thermal or acoustical conditions, e.g. accumulating of heat within walls
- E04B1/82—Heat, sound or noise insulation, absorption, or reflection; Other building methods affording favourable thermal or acoustical conditions, e.g. accumulating of heat within walls specifically with respect to sound only
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04C—STRUCTURAL ELEMENTS; BUILDING MATERIALS
- E04C3/00—Structural elongated elements designed for load-supporting
- E04C3/02—Joists; Girders, trusses, or trusslike structures, e.g. prefabricated; Lintels; Transoms; Braces
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04H—BUILDINGS OR LIKE STRUCTURES FOR PARTICULAR PURPOSES; SWIMMING OR SPLASH BATHS OR POOLS; MASTS; FENCING; TENTS OR CANOPIES, IN GENERAL
- E04H9/00—Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate
- E04H9/02—Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate withstanding earthquake or sinking of ground
- E04H9/021—Bearing, supporting or connecting constructions specially adapted for such buildings
Abstract
The invention relates to the technical field of vibration reduction structures, and provides a photonic crystal sandwich beam structure based on energy band folding, which comprises a first foundation beam, a second foundation beam and a sandwich layer, wherein the second foundation beam is arranged side by side with the first foundation beam; the sandwich layer is fixedly connected between the first foundation beam and the second foundation beam and comprises at least two sandwich monomers, and the sandwich monomers are of symmetrical structures; the sandwich monomers are sequentially arranged to form a circulation body, and the shape or the size of each sandwich monomer of the same circulation body is different; the circulating bodies are at least two, and each circulating body is sequentially arranged between the first foundation beam and the second foundation beam. The photonic crystal sandwich beam structure based on energy band folding is used for solving the defect that the band gap frequency band of the sandwich beam structure in the prior art is in a medium-high frequency band, and realizing low-frequency vibration suppression in a one-dimensional space direction.
Description
Technical Field
The invention relates to the technical field of vibration reduction structures, in particular to a phonon crystal sandwich beam structure based on energy band folding.
Background
In the field of construction engineering, suppression of harmful vibrations and noise is a problem to be solved. At present, four methods for researching vibration and noise suppression are respectively an active control technology, a passive control technology, a semi-active control technology and a hybrid control technology. The active control technology needs external energy, the energy consumption of the whole system is large, the complex cost is high, and the reliability is poor; the passive control technology is limited in that the effect of the passive control technology on low-frequency vibration reduction is not ideal, the frequency range and the like cannot be flexibly adjusted, and particularly for a large-area plate-shell structure; semi-active control remains a stability and cost problem as a composite system and is not mature. In summary, research on new vibration damping and noise reduction methods is still a hotspot in the field.
The mechanical characteristics of the low-frequency band gap of the acoustic metamaterial serving as the branch of the metamaterial in the elastic mechanical category provide a new thought for vibration reduction and noise reduction, and become a research front in the vibration reduction and noise reduction field. Phonon crystals are the study objects of many scholars, and when elastic waves propagate in the phonon crystals, special dispersion relation curves are formed under the action of the internal periodic structures of the elastic waves, and the frequency range between the dispersion relation curves is called band gap or forbidden band. When an elastic wave acts in a phonon crystal structure, the matrix inside the crystal normally transmits, but a scattering body makes the incident elastic wave reflected back and forth on a periodic boundary, and the scattering bodies interfere with each other to cause self-strengthening or mutual cancellation, if the wavelength is exactly equal to the size of the scattering body, the situation of complete cancellation occurs, so that the periodic structure can completely suppress the elastic wave with certain frequency in any direction to generate acoustic absolute band gap, and the scattering property is called Bragg scattering mechanism. The generation mechanism of the band gap is a local resonance mechanism, namely when the elastic wave with certain specific frequency is coupled with the long wave in the matrix while causing the local resonance effect of the scatterer, the elastic wave is restrained from continuing to propagate in the phonon crystal, so that the local resonance band gap is formed.
The band gap frequency band of the photonic crystal structure obtained by current research is mostly in a middle-high frequency band, and the practical engineering requirements are difficult to meet.
Disclosure of Invention
The invention provides a photonic crystal sandwich beam structure based on energy band folding, which is used for solving the defect that a band gap frequency band of a photonic crystal structure in the prior art is in a medium-high frequency band and realizing low-frequency vibration suppression in a one-dimensional space direction.
The invention provides a photonic crystal sandwich beam structure based on energy band folding, which comprises the following components:
a first foundation beam;
a second foundation beam disposed side by side with the first foundation beam;
the sandwich layer is fixedly connected between the first foundation beam and the second foundation beam and comprises at least two sandwich monomers, and the sandwich monomers are of symmetrical structures; the sandwich monomers are sequentially arranged to form a circulation body, and the shape or the size of each sandwich monomer of the same circulation body is different;
the circulating bodies are at least two, and each circulating body is sequentially arranged between the first foundation beam and the second foundation beam.
According to the photonic crystal sandwich beam structure based on energy band folding, the sandwich monomer comprises two splicing pieces, the two splicing pieces are connected along a first direction to form a connecting point, and the two splicing pieces are symmetrical about the connecting point.
According to the photonic crystal sandwich beam structure based on energy band folding, the splicing piece comprises a supporting rod, and the supporting rod is connected to the first foundation beam or the second foundation beam.
According to the photonic crystal sandwich beam structure based on energy band folding, the diameters, the numbers or the shapes of the supporting rods of the sandwich monomers of the same circulating body are different.
According to the photonic crystal sandwich beam structure based on energy band folding, two splicing pieces of the sandwich single body are provided with mutually corresponding splicing parts, and the two splicing pieces are connected through the splicing parts to form the sandwich single body.
According to the photonic crystal sandwich beam structure based on energy band folding, the sandwich monomers are symmetrical polyhedrons, and the edges or the sizes of the sandwich monomers of the same circulation body are unequal.
According to the photonic crystal sandwich beam structure based on energy band folding, the sandwich monomer comprises an upper wing, a lower wing and a vertical plate, wherein the upper wing and the lower wing are arranged on two sides of the vertical plate; the upper wing is connected to the first foundation beam, and the lower wing is connected to the second foundation beam; the thickness of the vertical plates of the sandwich monomer of the same circulating body is not equal.
According to the photonic crystal sandwich beam structure based on energy band folding, the first foundation beam comprises at least two first connecting plates, and two adjacent first connecting plates are connected to form the first foundation beam; the second foundation beam comprises at least two second connecting plates, and two adjacent second connecting plates are connected to form the second foundation beam; the sandwich unit is connected between the first connecting plate and the second connecting plate.
According to the photonic crystal sandwich beam structure based on energy band folding, one sandwich unit corresponds to one first connecting plate and one second connecting plate.
According to the photonic crystal sandwich beam structure based on energy band folding, the photonic crystal sandwich beam structure also comprises a connecting piece, wherein the connecting piece is fixedly arranged on the sandwich layer; the first foundation beam and the second foundation beam are provided with fixing grooves, and the connecting piece is embedded in the fixing grooves.
Additional aspects and advantages of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.
According to the photonic crystal sandwich beam structure based on energy band folding, the shape or the size of each sandwich monomer of the same circulating body are different, the circulating bodies are sequentially arranged between the first foundation beam and the second foundation beam, the folding Dirac points are opened by breaking the spatial symmetry of the structure through topological design, a new band gap can be generated, the whole band gap of the structure is widened and moves towards low frequency, the application requirement of a low-frequency broadband is met, and different vibration suppression effects and low-frequency broadband vibration reduction effects are realized; the phonon crystal sandwich beam structure based on energy band folding comprises at least two sandwich monomers, wherein the shape or the size of each sandwich monomer of the same circulation body is different, and the circulation body is formed by the sandwich monomers with different shapes or sizes so as to realize different vibration reduction and noise suppression effects.
Drawings
In order to more clearly illustrate the invention or the technical solutions of the prior art, a brief description will be given below of the drawings used in the embodiments or the description of the prior art, it being obvious that the drawings in the following description are some embodiments of the invention and that other drawings can be obtained from them without inventive effort for a person skilled in the art.
Fig. 1 is a schematic perspective view of a photonic crystal sandwich beam structure based on energy band folding according to an embodiment of the present invention;
FIG. 2 is an enlarged view of the structure of FIG. 1A;
FIG. 3 is an exploded view of a sandwich cell based on a photonic crystal sandwich beam structure with band folding provided by an embodiment of the present invention;
FIG. 4 is a graph showing the comparison of the vibration band gap of a photonic crystal sandwich beam structure based on band folding and the vibration band gap of a conventional sandwich beam according to the first embodiment of the present invention;
fig. 5 is a diagram showing a comparison between a band gap of a photonic crystal sandwich beam structure based on band folding and a band gap of a conventional sandwich beam structure according to a second embodiment of the present invention;
fig. 6 is a diagram showing a comparison between a band gap of a photonic crystal sandwich beam structure based on band folding and a band gap of a conventional sandwich beam structure according to a third embodiment of the present invention;
fig. 7 is a schematic structural diagram of a photonic crystal sandwich beam structure based on band folding according to a fourth embodiment of the present invention;
fig. 8 is a diagram showing a comparison between a band gap of a photonic crystal sandwich beam structure based on band folding and a band gap of a conventional sandwich beam structure according to a fourth embodiment of the present invention;
fig. 9 is a schematic structural diagram of a photonic crystal sandwich beam structure based on band folding according to a fifth embodiment of the present invention;
fig. 10 is a diagram showing a comparison between a band gap of a photonic crystal sandwich beam structure based on band folding and a band gap of a conventional sandwich beam structure according to a fifth embodiment of the present invention.
Reference numerals:
10. a first foundation beam; 11. a first connection plate; 111. a connection protrusion;
20. a second foundation beam; 21. a second connecting plate; 211. a connection recess;
30. a sandwich layer; 31. a circulation body;
40 (40 ',40' ') and a sandwich element; 41. a first splice; 411. a first assembly part; 42. a second splice; 421. a second splice; 43. a support rod;
50. and a connecting piece.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings, and it is apparent that the described embodiments are some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
According to one embodiment of the present invention, as shown in fig. 1, there is provided a photonic crystal sandwich beam structure based on band folding, including a first base beam 10, a second base beam 20, and a sandwich layer 30; the second foundation beam 20 is arranged side by side with the first foundation beam 10; the sandwich layer 30 is fixedly connected between the first foundation beam 10 and the second foundation beam 20, the first foundation beam 10 and the second foundation beam 20 bear in-plane normal stress and in-plane shear stress caused by bending moment, the sandwich layer 30 mainly bears transverse shear stress transmitted by the first foundation beam 10 and the second foundation beam 20, the sandwich layer 30 plays a role in stabilizing, preventing local yielding and improving specific stiffness and specific strength.
As shown in fig. 1 to 2, the sandwich layer 30 includes at least two sandwich monomers 40, and the sandwich monomers 40 have a symmetrical structure; the sandwich monomers 40 are sequentially and linearly arranged to form a circulation body 31, and the shape or the size of each sandwich monomer 40 of the same circulation body 31 is different; at least two circulation bodies 31 are provided, and each circulation body 31 is sequentially arranged between the first foundation beam 10 and the second foundation beam 20; in the embodiment, different vibration suppression effects are realized through the periodic arrangement of the circulation body 31 and the change of parameters such as the shape or the size of the sandwich monomer 40 in the circulation body 31; in the present embodiment, the core unit 40 of the core layer 30 functions to withstand the transverse shearing stress transmitted from the first and second foundation beams 10 and 20; in other embodiments, the sandwich layer 30 may be provided with other support structures to bear transverse shear stress, and the sandwich elements 40 play a role in reducing frequency and vibration.
According to the photonic crystal sandwich beam structure based on energy band folding, the shape or the size of each sandwich monomer 40 of the same circulating body 31 is different, the circulating bodies 31 are sequentially arranged between the first foundation beam 10 and the second foundation beam 20, the folding Dirac points are opened by breaking the spatial symmetry of the structure through topological design, a new band gap can be generated, the whole band gap of the structure is widened and moves towards low frequency, the application requirement of a low-frequency broadband is met, and different vibration suppression effects and low-frequency broadband vibration reduction effects are realized; the photonic crystal sandwich beam structure based on energy band folding comprises at least two sandwich monomers 40, wherein the shape or the size of each sandwich monomer 40 of the same circulation body 31 is different, and the circulation body 31 is formed by the sandwich monomers 40 with different shapes or sizes so as to realize different vibration reduction and noise suppression effects.
Further, the number of the circulation bodies 31 is at least six, and the circulation bodies 31 are arranged linearly in a period of a plurality of circulation bodies 31, so that the dirac points are formed by folding the energy bands, and the dirac points are successfully opened to form new low-frequency band gaps.
Preferably, as shown in fig. 3, the first foundation beam 10 includes at least two first connection plates 11, and two adjacent first connection plates 11 are connected to form the first foundation beam 10; the second foundation beam 20 includes at least two second connection plates 21, and two adjacent second connection plates 21 are connected to form the second foundation beam 20; the assembly is simple, the first foundation beam 10 is split into a plurality of first connecting plates 11, the second foundation beam 20 is split into a plurality of second connecting plates 21, and the carrying is convenient; the core unit 40 is connected between the first connection plate 11 and the second connection plate 21.
Preferably, one of the sandwich elements 40 corresponds to one of the first connection plates 11 and one of the second connection plates 21, i.e., one of the first connection plates 11 and one of the second connection plates 21 connects one of the sandwich elements 40; specifically, a fixing space is formed between the first connection plate 11 and the second connection plate 21, and the core unit 40 is connected to the fixing space; when in installation, the first connecting plates 11 and the second connecting plates 21 are connected at two ends of the sandwich monomer 40, and then the first connecting plates 11 are connected, the second connecting plates 21 are connected, so that a sandwich beam structure is assembled; a connection protrusion 111 is arranged on one side of the first connection plate 11, a connection recess 211 is arranged on the other side of the first connection plate 11, and the connection protrusion 111 of the first connection plate 11 is clamped with the connection recess 211 of the adjacent first connection plate 11, so that each first connection plate 11 is linearly connected to form a first foundation beam 10; in order to increase the stability of the connection, the first connection plate 11 is provided with two connection protrusions 111 and two connection recesses 211; in other embodiments, the number of the connection protrusions 111 and the connection recesses 211 of the first connection plate 11 may be set according to the need, which is not particularly limited by the present invention; the second connection plates 21 are also provided at both sides thereof with connection protrusions 111 and connection recesses 211 such that the respective second connection plates 21 are linearly connected to form the second foundation beam 20, which will not be described again.
Example 1
The photonic crystal sandwich beam structure based on energy band folding of the first embodiment further includes a plurality of connecting pieces 50, wherein the connecting pieces 50 are fixedly arranged on the sandwich layer 30, and the connecting pieces 50 are used for connecting the sandwich layer 30 with the first foundation beam 10 and connecting the sandwich layer 30 with the second foundation beam 20; the first foundation beam 10 and the second foundation beam 20 are provided with fixing grooves, and the connecting piece 50 is embedded in the fixing grooves, so that the installation is convenient, and meanwhile, the sliding of the connecting piece 50 is prevented; specifically, the connecting piece 50 is provided with a first connecting hole, the first foundation beam 10 and the second foundation beam 20 are respectively provided with a second connecting hole, the embodiment further comprises a plurality of connecting screws, the connecting piece 50 is placed in the fixing groove of the first foundation beam 10, and the connecting screws penetrate through the first connecting hole of the connecting piece 50 and the second connecting hole of the first foundation beam 10, so that the first foundation beam 10 is connected with the sandwich layer 30; placing the connecting piece 50 in the fixing groove of the second foundation beam 20, and allowing the connecting screw to pass through the first connecting hole of the connecting piece 50 and the second connecting hole of the second foundation beam 20, so that the second foundation beam 20 is connected with the sandwich layer 30, thereby realizing quick installation; the photonic crystal sandwich beam based on energy band folding has the advantages of simple structure, convenient processing and easy installation, and can be assembled according to actual requirements, namely the sandwich layers 30 with different vibration characteristics can be replaced; generally, one core unit 40 corresponds to four connectors 50 to ensure the stability of the connection of the core units 40.
Preferably, the sandwich element 40 includes two splice elements, which are a first splice element 41 and a second splice element 42, and the two splice elements are connected along a first direction to form a connection point, and the two splice elements are symmetrical about the connection point, so as to ensure balance of the sandwich beam structure, and thus smoothly open the dirac point; the first direction, i.e. the direction from the first foundation beam 10 to the second foundation beam 20; the symmetry here is the symmetry of the sandwich element 40 in the first direction.
Preferably, the first splicing element 41 is provided with a first splicing surface, the second splicing element 42 is provided with a second splicing surface, and the first splicing surface and the second splicing surface are both plane surfaces, so that the first splicing element 41 and the second splicing element 42 are favorably matched; the two splicing parts of the sandwich element 40 are provided with mutually corresponding splicing parts, namely a first splicing part 411 is arranged on a first splicing surface, a second splicing part 421 is arranged on a second splicing surface, and the first splicing part is connected with the second splicing part 421, so that the first splicing part 41 and the second splicing part 42 are connected to form the sandwich element 40, and the sandwich element is easy to install and detach; specifically, the first splicing part is a convex column, the second splicing part 421 is a groove corresponding to the first splicing part, and the first splicing part 41 and the second splicing part 42 are assembled and disassembled through the cooperation of the convex column and the groove, so that the structure is simple, and the operation is convenient; in other embodiments, the first splicing element 41 and the second splicing element 42 may be assembled and fixed by a screw or a bolt, so that the core unit 40 may be integrally formed for processing, and the embodiment of the invention is not limited to the assembly mode of the core unit 40.
The splice includes a support bar 43, the support bar 43 being connected to the first foundation beam 10 or the second foundation beam 20; the diameter, number or shape of the support rods 43 of the sandwich unit 40 of the same circulation body 31 are different, and different vibration suppression effects are realized by the periodic arrangement of the circulation body 31 and the change of parameters such as the diameter, number or shape of the support rods 43 of the sandwich unit 40 in the circulation body 31; specifically, the first splicing element 41 and the second splicing element 42 of the present embodiment respectively adopt four supporting rods 43, one ends of the four supporting rods 43 are connected to form the connection point, the other ends are fixedly connected with the connecting element 50, the circulating body 31 of the present embodiment is provided with ten circulating bodies 31, the ten circulating bodies 31 are linearly arranged, one circulating body 31 is provided with two sandwich monomers 40, the diameter of the supporting rod 43 of one sandwich monomer 40 is ten millimeters, the diameter of the supporting rod 43 of the other sandwich monomer 40 is six millimeters, and the diameters of the supporting rods 43 of the different sandwich monomers 40 passing through the circulating body 31 are different, so that dirac points are opened, and a new low-frequency band gap is formed; setting comparative example 1 as a control, setting up ten circulation bodies for a conventional sandwich beam, setting up ten circulation bodies in one circulation body, setting up two sandwich monomers in the same way, the supporting rods of the two sandwich monomers are six millimeters in diameter, the left graph of fig. 4 is the vibration band gap of comparative example 1, the right graph of fig. 4 is the vibration band gap graph of this embodiment, as can be obtained from fig. 4, the vibration band gap of this embodiment is increased, and the effect of low-frequency vibration reduction is achieved.
Example two
Unlike the first embodiment, the circulation body 31 of the present embodiment has three sandwich cells 40, the supporting rods 43 of the three sandwich cells 40 have diameters of ten millimeters, eight millimeters and six millimeters, respectively, the comparative example 2 is provided as a control, the comparative example 2 is a conventional sandwich beam, the comparative example 2 adopts a structure similar to the present embodiment, ten circulation bodies are provided, three sandwich cells are provided in one circulation body, the supporting rods of the three sandwich cells have diameters of ten millimeters as well, the left graph of fig. 5 is the vibration band gap of the comparative example 2, the right graph of fig. 5 is the vibration band gap graph of the present embodiment, and as can be derived from fig. 5, the vibration band gap of the present embodiment is increased, and the effect of low frequency vibration reduction is achieved.
Example III
Unlike the first embodiment, the circulation body 31 of the present embodiment has four core units 40, the supporting rods 43 of the four core units 40 have diameters of ten millimeters, eight millimeters, six millimeters and four millimeters, respectively, the comparative example 3 is provided as a control, the comparative example 3 is a conventional core beam, the similar structure to the present embodiment is adopted, the ten circulation bodies are provided, the four core units are provided in one circulation body, the supporting rods of the four core units have diameters of ten millimeters as well, the left graph of fig. 6 is the vibration band gap of the comparative example 3, the right graph of fig. 6 is the vibration band gap graph of the present embodiment, and as can be derived from fig. 6, the vibration band gap of the present embodiment is increased, and the effect of low frequency vibration reduction is achieved.
Within a certain range, the more the number of the sandwich monomers 40 in one circulation body 31, the more the dirac points are opened, and the more the band gap is formed, the number of the circulation bodies 31 and the number of the sandwich monomers 40 contained in one circulation body 31 are not limited in the embodiment of the invention; in other embodiments, the core unit 40 may also be provided with straight bars and curved bars alternately or curved bars with different curvatures alternately, so as to generate a new band gap, so that the overall band gap of the core beam structure is widened and moves towards low frequency; the number, diameter, and shape of the support rods 43 are not limited in the embodiment of the present invention.
Different vibration suppression effects are realized through the sandwich monomers 40 provided with the support rods 43 with different diameters or shapes, so as to play a role in reducing frequency and vibration; the parts of the embodiment can be prepared by casting, wire cutting or turning tools and other mechanical processing methods, and the device has the advantages of simple structure, convenient processing and quick installation; the core layers with different vibration characteristics and the self-defined length can be assembled and replaced according to actual requirements, and the flexibility is achieved.
Example IV
Unlike the first embodiment, as shown in fig. 7, the core units 40 'of the present embodiment are symmetrical polyhedrons, and the number of edges or the size of the core units 40' of the same circulating body 31 are different, in the present embodiment, the circulating body 31 has two core units 40', and one of the core units 40' of one circulating body 31 is a prism with a quadrangular cross section, namely, a hexahedron; the other sandwich monomer 40' is a prism with a hexagonal cross section, namely an octahedron, so that the Dirac point is opened, and the effect of reducing frequency and vibration is realized; setting comparative example 4 as a control, comparative example 4 is a conventional sandwich beam, adopting a structure similar to that of the present embodiment, setting ten circulation bodies, setting two sandwich monomers in one circulation body, the two sandwich monomers being prisms with hexagonal cross sections, the left graph of fig. 8 being the vibration band gap of comparative example 4, the right graph of fig. 8 being the vibration band gap graph of the present embodiment, it can be derived from fig. 8 that the vibration band gap of the present embodiment is increased, and the effect of low frequency vibration reduction is achieved.
In other embodiments, the core units 40 'in the circulating body 31 may be pentagonal, heptagonal or octagonal in cross section, and the number of sides of the cross sections of the two core units 40' in the same circulating body 31 is different, so that the purpose of the present invention can be achieved; the number of sides of the sandwich element 40' is not limited in the embodiment of the present invention.
In other embodiments, the number of the cross-sectional sides of the different core units 40 'of the same circulating body 31 is equal and the cross-sectional areas are different, that is, the sizes of the different core units 40' of the same circulating body 31 are different, which can also affect the suppressing effect of the elastic wave, so as to achieve the vibration reduction and noise suppression effects.
Example five
Unlike the first embodiment, as shown in fig. 9, the core unit 40″ of the present embodiment includes an upper wing, a lower wing, and a vertical plate, the upper wing and the lower wing being disposed at both sides of the vertical plate; the upper wing is connected to the first foundation beam 10 by a connector 50, and the lower wing is connected to the second foundation beam 20 by a connector 50; the thickness of the vertical plates of the sandwich unit 40″ of the same circulating body 31 is different, and the damping effect and the noise suppression effect are realized by the alternate thickness change of the vertical plates, thereby influencing the suppression effect of elastic waves; setting comparative example 5 as a control, setting ten circulating bodies in a structure similar to the embodiment, wherein two sandwich monomers are arranged in one circulating body, each sandwich monomer comprises an upper wing, a lower wing and a vertical plate, and the upper wing and the lower wing are arranged on two sides of the vertical plate; the thickness of the vertical plates of the sandwich unit of the same circulating body is equal, the left diagram of fig. 10 is the vibration band gap of comparative example 5, the right diagram of fig. 10 is the vibration band gap diagram of the present embodiment, and as can be obtained from fig. 10, the vibration band gap of the present embodiment is increased, so as to realize the effect of low frequency vibration reduction.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and are not limiting; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention.
Claims (10)
1. Phonon crystal sandwich beam structure based on energy band folding, characterized by comprising:
a first foundation beam (10);
a second foundation beam (20) arranged side by side with the first foundation beam (10);
the sandwich layer (30) is fixedly connected between the first foundation beam (10) and the second foundation beam (20) and comprises at least two sandwich monomers (40), and the sandwich monomers (40) are of symmetrical structures; the sandwich monomers (40) are sequentially arranged to form a circulation body (31), and the shape or the size of each sandwich monomer (40) of the same circulation body (31) is different;
at least two circulation bodies (31) are arranged, and each circulation body (31) is sequentially arranged between the first foundation beam (10) and the second foundation beam (20).
2. The photonic crystal sandwich beam structure based on band folding according to claim 1, characterized in that the sandwich element (40) comprises two splice elements, two splice elements being connected along a first direction forming a connection point, two splice elements being symmetrical with respect to the connection point.
3. The photonic crystal sandwich beam structure based on band folding according to claim 2, characterized in that the splice comprises a support bar (43), the support bar (43) being connected to the first base beam (10) or the second base beam (20).
4. A photonic crystal sandwich beam structure based on band folding according to claim 3, characterized in that the support rods (43) of the sandwich cells (40) of the same circulation body (31) are different in diameter, number or shape.
5. The photonic crystal sandwich beam structure based on energy band folding according to claim 2, wherein two of the splice members of the sandwich element (40) are provided with splice portions corresponding to each other, and the two splice members are connected by the splice portions to form the sandwich element (40).
6. The photonic crystal sandwich beam structure based on band folding according to claim 1, characterized in that the sandwich elements (40) are symmetrical polyhedrons, the number of edges or the size of the sandwich elements (40) of the same cyclic body (31) are unequal.
7. The photonic crystal sandwich beam structure based on band folding according to claim 1, characterized in that the sandwich element (40) comprises an upper wing, a lower wing and a riser, the upper wing and the lower wing being arranged at both sides of the riser; the upper wing is connected to the first foundation beam (10) and the lower wing is connected to the second foundation beam (20); the thickness of the vertical plates of the sandwich unit (40) of the same circulating body (31) is not equal.
8. The photonic crystal sandwich beam structure based on band folding according to any of claims 1 to 7, characterized in that the first basic beam (10) comprises at least two first connection plates (11), adjacent two first connection plates (11) being connected to form the first basic beam (10); the second foundation beam (20) comprises at least two second connecting plates (21), and two adjacent second connecting plates (21) are connected to form the second foundation beam (20); the sandwich element (40) is connected between the first connecting plate (11) and the second connecting plate (21).
9. The photonic crystal sandwich beam structure based on band folding according to claim 8, wherein one of the sandwich elements (40) corresponds to one of the first connection plates (11) and one of the second connection plates (21).
10. The photonic crystal sandwich beam structure based on band folding according to any of claims 1 to 7, further comprising a connector (50), said connector (50) being fixedly arranged on said sandwich layer (30); the first foundation beam (10) and the second foundation beam (20) are provided with fixing grooves, and the connecting piece (50) is embedded in the fixing grooves.
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