CN116928251A - Assembled three-dimensional negative poisson ratio metamaterial structure and assembling method - Google Patents
Assembled three-dimensional negative poisson ratio metamaterial structure and assembling method Download PDFInfo
- Publication number
- CN116928251A CN116928251A CN202310503897.9A CN202310503897A CN116928251A CN 116928251 A CN116928251 A CN 116928251A CN 202310503897 A CN202310503897 A CN 202310503897A CN 116928251 A CN116928251 A CN 116928251A
- Authority
- CN
- China
- Prior art keywords
- main board
- negative poisson
- dimensional negative
- poisson ratio
- connecting piece
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000000034 method Methods 0.000 title claims abstract description 9
- 239000000463 material Substances 0.000 claims abstract description 56
- 238000005516 engineering process Methods 0.000 claims abstract description 6
- 238000005452 bending Methods 0.000 claims description 26
- 239000010963 304 stainless steel Substances 0.000 claims description 4
- 229910000589 SAE 304 stainless steel Inorganic materials 0.000 claims description 4
- 229910001209 Low-carbon steel Inorganic materials 0.000 claims description 2
- 229910052782 aluminium Inorganic materials 0.000 claims description 2
- XAGFODPZIPBFFR-UHFFFAOYSA-N aluminium Chemical compound [Al] XAGFODPZIPBFFR-UHFFFAOYSA-N 0.000 claims description 2
- 238000012545 processing Methods 0.000 claims description 2
- 229910000831 Steel Inorganic materials 0.000 claims 1
- 239000010959 steel Substances 0.000 claims 1
- 238000004519 manufacturing process Methods 0.000 abstract description 7
- 230000000694 effects Effects 0.000 abstract description 5
- 238000010146 3D printing Methods 0.000 abstract description 4
- 238000003754 machining Methods 0.000 abstract description 2
- 230000000737 periodic effect Effects 0.000 abstract 1
- 238000010586 diagram Methods 0.000 description 6
- 238000006073 displacement reaction Methods 0.000 description 6
- 238000010521 absorption reaction Methods 0.000 description 3
- 238000004458 analytical method Methods 0.000 description 3
- 230000002146 bilateral effect Effects 0.000 description 3
- 238000002955 isolation Methods 0.000 description 3
- 230000000704 physical effect Effects 0.000 description 3
- 239000002131 composite material Substances 0.000 description 2
- 229910052751 metal Inorganic materials 0.000 description 2
- 239000002184 metal Substances 0.000 description 2
- 230000001105 regulatory effect Effects 0.000 description 2
- 238000010008 shearing Methods 0.000 description 2
- 238000012360 testing method Methods 0.000 description 2
- 239000012237 artificial material Substances 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000006835 compression Effects 0.000 description 1
- 238000007906 compression Methods 0.000 description 1
- 230000008602 contraction Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 230000007123 defense Effects 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 238000009826 distribution Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 230000003287 optical effect Effects 0.000 description 1
- 230000001681 protective effect Effects 0.000 description 1
- 230000003068 static effect Effects 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
- 230000009466 transformation Effects 0.000 description 1
Classifications
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F1/00—Springs
- F16F1/02—Springs made of steel or other material having low internal friction; Wound, torsion, leaf, cup, ring or the like springs, the material of the spring not being relevant
- F16F1/025—Springs made of steel or other material having low internal friction; Wound, torsion, leaf, cup, ring or the like springs, the material of the spring not being relevant characterised by having a particular shape
Landscapes
- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Aiming, Guidance, Guns With A Light Source, Armor, Camouflage, And Targets (AREA)
Abstract
The invention discloses an assembled three-dimensional negative poisson ratio metamaterial structure and an assembling method, and belongs to the field of metamaterials. The three-dimensional negative poisson ratio metamaterial structure is formed by assembling a plurality of first main boards, second main boards, first connecting pieces, second connecting pieces and third main boards through periodic joggles. The above-mentioned components have simple plane configuration, can be mass-produced by means of conventional machining method, so that the manufacturing cost can be effectively reduced. Meanwhile, the mechanical property of the whole structure can be adjusted in multiple directions by changing materials or internal structures. Compared with a two-dimensional negative poisson ratio material, the assembled three-dimensional negative poisson ratio material provided by the invention can simultaneously present a negative poisson ratio effect in the other two vertical directions when being pulled/pressed in one direction, and has wider application scenes; compared with a three-dimensional negative poisson ratio material integrally formed by a 3D printing technology, the three-dimensional negative poisson ratio material has the advantages that the rigidity, the negative poisson ratio and other mechanical properties can be adjusted in multiple directions, and better flexibility is realized.
Description
Technical Field
The invention belongs to the field of metamaterial, and particularly relates to an assembled three-dimensional negative poisson ratio metamaterial structure and an assembling method.
Background
Meta-materials (meta-materials) refer to a class of artificial materials that have special physical properties that natural materials do not possess. The special physical properties of the metamaterial, such as negative refractive index, negative thermal expansion coefficient, negative poisson ratio and the like, are derived from the special internal structure of the metamaterial, and the physical properties of the metamaterial can be artificially regulated by designing the internal structure of the material, so that new materials which are not available in the nature, such as optical metamaterials, acoustic metamaterials, mechanical metamaterials and the like, can be obtained.
Poisson's ratio v, also known as the transverse deformation coefficient, refers to the transverse strain ε of a material when it is pulled or compressed unidirectionally y And longitudinal strain ε x The opposite number of the ratio, i.e. v= -epsilon y /ε x . Poisson's ratio is an elastic constant reflecting the transverse deformation characteristics of a material, and its value affects the deformation and stress distribution of the material when stressed, so that it is important in engineering design and material selection. A negative poisson's ratio material is a typical mechanical metamaterial that exhibits a transverse deformation behavior during deformation that is diametrically opposite to that of a conventional material, i.e., it expands/contracts in the transverse direction when it is stretched/compressed in the longitudinal direction. The negative poisson ratio material has advantages in shearing resistance, fracture resistance, collapse resistance, energy absorption, vibration isolation and the like compared with the traditional material, so that the negative poisson ratio material has wide application prospect in the fields of medical equipment, protective equipment, intelligent sensors, aviation navigation, national defense industry and the like.
Compared with the two-dimensional negative poisson ratio material, the three-dimensional negative poisson ratio material can cause simultaneous expansion/contraction in other two directions when being pulled/pressed in one direction, so that the three-dimensional negative poisson ratio material has more advantages in the aspects of shearing resistance, fracture resistance, energy absorption, vibration isolation and the like. However, the three-dimensional negative poisson ratio material is generally manufactured by a 3D printing technology due to the complex internal structure, and particularly, the three-dimensional negative poisson ratio material using metal as a base material has high manufacturing cost, and is difficult to realize mass production. In addition, the internal structure of the existing three-dimensional negative poisson ratio material is designed in advance, and the mechanical properties of the material are difficult to adjust after the material is manufactured by a 3D printing technology. These factors significantly limit the wide range of applications of negative poisson's ratio materials and structures in engineering.
Therefore, how to effectively reduce the manufacturing cost of the three-dimensional metal negative poisson ratio material, and realize flexible adjustment of the mechanical property of the material in multiple directions according to the actual application requirements, and the material is very important to the popularization and application of the negative poisson ratio material and the structure in the engineering fields of static load resistance, impact resistance, energy absorption, vibration isolation and the like.
Disclosure of Invention
The invention aims to solve the defects of the prior art and provides an assembled three-dimensional negative poisson ratio metamaterial structure and an assembling method
The specific technical scheme adopted by the invention is as follows:
in a first aspect, the invention provides an assembled three-dimensional negative poisson ratio metamaterial structure, which comprises a plurality of first main boards, a plurality of second main boards, a first connecting piece and two third main boards. The first main board and the second main board are parallel to each other, are alternately arranged and are connected through the joggles of the first connecting piece. The third main board is used as the outermost layer of the three-dimensional negative poisson ratio metamaterial structure and is fixed on the inner layer through joggle of the first connecting piece. The inner layer is a first main board or a second main board.
The first main board and the second main board are formed by arranging first unit cell structures in an array mode, and the first unit cell structures on the first main board and the second main board are arranged in a staggered mode. The third main board is formed by arranging second unit cell structures in an array mode.
The first unit cell structure and the second unit cell structure are integrated by a hollow concave hexagonal structure and two wedges. The concave hexagonal structure is in a left-right symmetrical dovetail shape, two equal-length edges on the outer side are supporting cell arms, and four equal-length hypotenuses on the inner side are first bending ribs. The inner side of each supporting cell arm in the first unit cell structure is provided with a wedge block in an isosceles trapezoid shape, and the wedge block is provided with a clamping groove for joggling. The inner side of one side supporting cell arm in the second unit cell structure is provided with a clamping groove for joggling. Width S of the clamping groove L And the material thicknesses b of the first main board, the second main board, the third main board and the first connecting piece are equal. Height S of the clamping groove h Less than the height h of the wedge.
Two sides of the first connecting piece are respectively provided with bulges which are in one-to-one correspondence with clamping grooves in the first unit cell structure on the first main board and the second main board. The protrusions on both sides of the first connection member are connected by the second bending rib.
Preferably, the three-dimensional negative poisson ratio metamaterial structure further comprises a second connecting piece with a material thickness of b. The supporting cell arms of the second unit cell structure at the bottom side of the third main plate are provided with clamping grooves matched with the second connecting pieces. Two sides of the second connecting piece are respectively provided with bulges which are in one-to-one correspondence with the second unit cell structure on the third main board and the clamping grooves in the first unit cell structure on the first main board or the second main board.
Further, the length relationship between the support cell arm and the first bending rib satisfies the formula:
the included angle between the supporting cell arm and the first bending rib is theta, the distance between the two outer supporting cell arms is H, and the midpoint distance between the two first bending ribs on the same supporting cell arm is L.
Further, the included angle θ between the support arm and the first bending rib is in the range of 40 ° to 60 °.
Further, the second curved rib has an inclination angle ranging from 40 ° to 60 °.
Further, the width t of the first bending rib in the first unit cell structure and the second unit cell structure ranges from 1.5 mm to 2.2mm, and the material thickness b is 1.5-3 times of the width t.
Further, the waist length Lx of the wedge is equal to the first curved rib inner side length Ly.
Further, the first main board, the second main board, the third main board, the first connecting piece and the second connecting piece are made of aluminum or low carbon steel.
Still further, the material is 304 stainless steel.
In a second aspect, the present invention provides a method for assembling the three-dimensional negative poisson's ratio metamaterial structure according to the first aspect, which specifically comprises the following steps:
s1: and determining the size parameters and the number of the first main board, the second main board, the third main board, the first connecting piece and the second connecting piece according to the size of the three-dimensional negative poisson ratio metamaterial structure to be assembled.
S2: the first main board, the second main board, the first connecting piece, the second connecting piece and the third main board are prepared through a laser processing technology.
S3: the first main boards and the second main boards are alternately arranged, and are connected through joggles of the first connecting pieces. The third main board is used as the outermost layer of the three-dimensional negative poisson ratio metamaterial structure and fixedly connected with the inner layer through joggle joint of the first connecting piece. The inner layer is a first main board or a second main board. And the supporting cell arms of the second unit cell structure at the bottom side of the third main plate are provided with clamping grooves which are connected with the inner side layer through second connecting plates, and the other clamping grooves are connected with the inner side layer through first connecting plates, so that the three-dimensional negative poisson ratio metamaterial structure assembly is completed.
Compared with the prior art, the invention has the following beneficial effects:
(1) The assembled three-dimensional negative poisson ratio metamaterial structure provided by the invention has the advantages that the negative poisson ratio effect is simultaneously presented in the other two vertical directions when in unidirectional tension/compression, and the assembled three-dimensional negative poisson ratio metamaterial structure has wider application scenes;
(2) Compared with the three-dimensional negative poisson ratio material integrally formed in the prior art, the assembled three-dimensional negative poisson ratio metamaterial structure provided by the invention has low manufacturing cost and can realize mass production; and the rigidity, the negative poisson ratio and other mechanical properties of the composite material can be adjusted in multiple directions, so that the composite material has better flexibility.
Drawings
FIG. 1 is a schematic diagram of a first unit cell structure in a first motherboard and a second motherboard according to the present invention;
FIG. 2 is a schematic diagram of parameters in a unit cell structure of a first motherboard and a second motherboard according to the present invention;
FIG. 3 is a schematic diagram of a second unit cell structure in a third motherboard according to the present invention;
fig. 4 is a schematic diagram of a first motherboard according to the present invention;
fig. 5 is a schematic diagram of a second motherboard according to the present invention;
fig. 6 is a schematic diagram of a third motherboard according to the present invention;
FIG. 7 is a schematic view of a first connector according to the present invention;
FIG. 8 is a schematic view of a second connector according to the present invention;
fig. 9 is a schematic perspective view of the three-dimensional negative poisson's ratio metamaterial structure assembled in example 1;
FIG. 10 is a top view of a three-dimensional negative Poisson's ratio metamaterial structure fabricated in accordance with example 1;
FIG. 11 is a front elevational view (y-z plane) of a three-dimensional negative Poisson's ratio metamaterial structure deformation in accordance with the assembly of example 1;
FIG. 12 is a side view (x-z plane) of a deformed front side of the three-dimensional negative Poisson's ratio metamaterial structure assembled in accordance with example 1;
FIG. 13 is a front view (y-z plane) of the three-dimensional negative Poisson's ratio metamaterial structure assembled in accordance with example 1 after deformation;
FIG. 14 is a side view (x-z plane) of the three-dimensional negative Poisson's ratio metamaterial structure assembled in accordance with example 1 after deformation;
FIG. 15 is a schematic perspective view of the three-dimensional negative Poisson's ratio metamaterial structure assembled in example 2;
FIG. 16 is a front view of a three-dimensional negative Poisson's ratio metamaterial structure in accordance with the assembly of example 2;
FIG. 17 is a side view of a three-dimensional negative Poisson's ratio metamaterial structure in accordance with example 2;
FIG. 18 is a front view (y-z plane) of the three-dimensional negative Poisson's ratio metamaterial structure assembled in accordance with example 2 after deformation;
FIG. 19 is a side view (x-z plane) of the assembled three-dimensional negative Poisson's ratio metamaterial structures after deformation in accordance with example 2;
in the figure: the first main board 1, the second main board 2, the third main board 3, the first connecting piece 4, the second connecting piece 5, the first unit cell structure 6 and the second unit cell structure 7.
Detailed Description
The invention is further illustrated and described below with reference to the drawings and detailed description. The technical features of the embodiments of the invention can be combined correspondingly on the premise of no mutual conflict.
Example 1
The embodiment provides a three-dimensional negative poisson ratio metamaterial structure with the inclination angles of a first bending rib and a second bending rib being 45 degrees, which comprises the following specific steps:
in this embodiment, one first main board 1, two second main boards 2, two third main boards 3, fourteen first connecting pieces 4 and six first connecting pieces 5 are adopted.
As shown in fig. 4 and fig. 5, the first motherboard 1 and the second motherboard 2 are each configured by arranging first unit cell structures 6 in an array, and the first unit cell structures 6 on the first motherboard 1 and the second motherboard 2 are arranged in a staggered manner. As shown in fig. 1, the first unit cell structure 6 is a hollow concave hexagonal structure and two wedges, the concave hexagonal structure is in a dovetail shape with bilateral symmetry, two equal-length sides are supporting cell arms on the outer side, and four equal-length hypotenuses on the inner side are first bending ribs. The inner side of each supporting cell arm in the first unit cell structure 6 is provided with a wedge block in the shape of an isosceles trapezoid, the middle of the top edge of the wedge block is provided with a clamping groove for joggling, and the width of the clamping groove is S L 。
As shown in fig. 6, the third main board 3 is formed by arranging the second unit cell structures 7 in an array. As shown in fig. 3, the second unit cell structure 7 is an integral body formed by a hollow concave hexagonal structure and two wedges, the concave hexagonal structure is in a dovetail shape with bilateral symmetry, two equal-length sides at the outer side are supporting cell arms, four equal-length hypotenuses at the inner side are first bending ribs, and a clamping groove for joggling is formed at the inner side of one side supporting cell arm in the second unit cell structure 7.
Width S of the clamping groove L The material thickness b is equal to that of the first main board 1, the second main board 2, the third main board 3 and the first connecting piece 4.
As shown in fig. 7, the two sides of the first connecting piece 4 are respectively provided with protrusions corresponding to the clamping grooves in the first unit cell structures 6 on the first main board 1 and the second main board 2, and the protrusions on the two sides of the first connecting piece 4 are connected through the second bending ribs. In the present embodiment, the inclination angle of the second curved rib in the first connecting member 4 is equal to 45 °.
As shown in fig. 8, two sides of the second connecting piece 5 are respectively provided with protrusions corresponding to the second unit cell structures 7 on the third main board 3 and the clamping grooves in the first unit cell structures 6 on the first main board 1 or the second main board 2 one by one.
As shown in fig. 9 and 10, the first main board 1 is assembled at a middle position of the structure, two second main boards 2 are respectively arranged at two sides of the first main board 1, and the first main board 1 and each second main board are connected by joggles of five first connecting pieces 4. The two third main boards 3 are respectively arranged on the other side of the second main board 2 relative to the first main board 1, namely the outermost layer of the three-dimensional negative poisson ratio metamaterial structure. The first main board 1, the second main board 2 and the third main board 3 are parallel to each other. Each second main board 2 and each third main board 3 are connected through joggles of two first connecting pieces 4 and three second connecting pieces 5, and the first connecting pieces 4 are arranged between two adjacent second connecting pieces 5.
It should be noted that, in this embodiment, the third main board and the second connecting piece are used to improve the mechanical performance of the overall three-dimensional negative poisson ratio metamaterial structure. As can be seen from fig. 6, unlike the first motherboard 1 and the second motherboard 2, three clamping grooves are further formed on the bottom side of the third motherboard 3. As can be seen from fig. 8, unlike the first connector 4, the second connector 5 is provided with a protrusion on the bottom side that matches with the slot on the bottom side of the third main board 3.
In this example, the basic parameters of each member are shown in Table 1, and the material selected is 304 stainless steel. As shown in FIG. 2, wherein θ is the angle between the support cell arm and the first curved rib, H is the distance between the two outer support cell arms, L is the midpoint distance between the two first curved ribs on the same support cell arm, t is the width of the support cell arm, b is the thickness of each material, H is the height of the wedge, S L Is the width of the clamping groove S h Is the height of the clamping groove.
Table 1 basic parameter selection
| L | 21mm | b | 3mm |
| H | 18mm | h | 5mm |
| θ | 45° | S L | 3mm |
| t | 1.6mm | S h | 2.5mm |
In order to test the performance of the three-dimensional negative poisson ratio metamaterial structure prepared by the embodiment, ABAQUS finite element software is used for analysis, and a finite element model adopts a C3D8R unit. The elastic modulus of the material of the component is 190Mpa, the Poisson ratio is 0.3, the yield strength is 360Mpa, and the ultimate stress is 863Mpa.
The front and side views of the structure are shown in figures 11 and 12, respectively, before the displacement load is applied. A certain displacement load is applied to the structure in the z direction. From the analysis results, it was found that the lateral shrinkage occurred on both sides (y-z plane, x-z plane) of the model after the displacement load in the z direction was applied, and the results are shown in fig. 13 and 14. Therefore, it can be illustrated that the fabricated three-dimensional negative poisson ratio metamaterial structure provided by the embodiment has the negative poisson ratio effect in two directions.
Example 2
The embodiment provides a three-dimensional negative poisson ratio metamaterial structure with inclination angles of 40 degrees and 55 degrees of a first bending rib and a second bending rib respectively, which comprises the following specific steps:
as shown in fig. 15, 16 and 17, the present embodiment employs one first main board 1, two second main boards 2, two third main boards 3, fourteen first connecting pieces 4 and six first connecting pieces 5.
The first main board 1 and the second main board 2 are formed by arranging first unit cell structures 6 in an array mode, and the first unit cell structures 6 on the first main board 1 and the second main board 2 are arranged in a staggered mode. As shown in fig. 1, the first unit cell structure 6 is a hollow concave hexagonal structure and two wedges, the concave hexagonal structure is in a dovetail shape with bilateral symmetry, two equal-length sides are supporting cell arms on the outer side, and four equal-length hypotenuses on the inner side are first bending ribs. The inner side of each supporting cell arm in the first unit cell structure 6 is provided with a wedge block in the shape of an isosceles trapezoid, the middle of the top edge of the wedge block is provided with a clamping groove for joggling, and the width of the clamping groove is S L 。
The third main board 3 is formed by arranging second unit cell structures 7 in an array mode. The second unit cell structure 7 is a whole formed by a hollow concave hexagonal structure and two wedge blocks, the concave hexagonal structure is in a left-right symmetrical dovetail shape, two equal length sides at the outer side are supporting cell arms, four equal length hypotenuses at the inner side are first bending ribs, and a clamping groove for joggling is formed in the inner side of one side supporting cell arm in the second unit cell structure 7.
Width S of the clamping groove L The material thickness b is equal to that of the first main board 1, the second main board 2, the third main board 3 and the first connecting piece 4.
The two sides of the first connecting piece 4 are respectively provided with bulges which are in one-to-one correspondence with the clamping grooves in the first unit cell structure 6 on the first main board 1 and the second main board 2, and the bulges on the two sides of the first connecting piece 4 are connected through second bending ribs. In the present embodiment, the inclination angle of the second curved rib in the first connecting member 4 is equal to 55 °.
Two sides of the second connecting piece 5 are respectively provided with bulges which are in one-to-one correspondence with the second unit cell structures 7 on the third main board 3 and the clamping grooves in the first unit cell structures 6 on the first main board 1 or the second main board 2.
The first main board 1 is assembled in the middle position of the structure, two second main boards 2 are respectively arranged on two sides of the first main board 1, and the first main board 1 and each second main board are connected through the joggles of five first connecting pieces 4. The two third main boards 3 are respectively arranged on the other side of the second main board 2 relative to the first main board 1, namely the outermost layer of the three-dimensional negative poisson ratio metamaterial structure. The first main board 1, the second main board 2 and the third main board 3 are parallel to each other. Each second main board 2 and each third main board 3 are connected through joggles of two first connecting pieces 4 and three second connecting pieces 5, and the first connecting pieces 4 are arranged between two adjacent second connecting pieces 5.
In this example, the basic parameters of each member are shown in Table 2, and the material selected is 304 stainless steel. Wherein θ is the angle between the support cell arm and the first bending rib, H is the distance between the two outer support cell arms, L is the midpoint distance between the two first bending ribs on the same support cell arm, t is the width of the support cell arm, b is the thickness of each material, H is the height of the wedge block, S L Is the width of the clamping groove S h Is the height of the clamping groove.
Table 2 basic parameter selection
| L | 21mm | b | 3mm |
| H | 18mm | h | 5mm |
| θ | 40° | S L | 3mm |
| t | 1.6mm | S h | 2.5mm |
In order to test the performance of the three-dimensional negative poisson ratio metamaterial structure prepared by the embodiment, ABAQUS finite element software is used for analysis, and a finite element model adopts a C3D8R unit. The elastic modulus of the material of the component is 190Mpa, the Poisson ratio is 0.3, the yield strength is 360Mpa, and the ultimate stress is 863Mpa.
After the displacement load in the z direction is applied, the lateral shrinkage occurs on both sides (y-z plane, x-z plane) of the model, and the result is shown in fig. 18 and 19. In the y-z plane, the average shrinkage displacement of the structure relative to the deformation front along the y-axis direction is 4.9mm; in the x-z plane, the average shrinkage displacement of the structure in the x-axis direction relative to the deformation front was 7.4mm. Therefore, it can be explained that the assembled three-dimensional negative poisson ratio metamaterial structure provided by the embodiment can generate different poisson ratios in the transverse direction and the longitudinal direction by adjusting unit parameters, so that the mechanical property of the structure can be adjusted.
The embodiment aims at describing that the mechanical property of the metamaterial structure can be regulated and controlled by changing the included angle theta of the first bending rib and the inclined angle of the second bending rib.
It should be noted that, under the condition that other parameters of the control basic unit are unchanged, the assembly of the three-dimensional negative poisson ratio metamaterial structure is not affected by changing the size parameters t, b and θ of a certain basic unit. And the assembled three-dimensional negative poisson ratio metamaterial structure can simultaneously show the negative poisson ratio effect in the other two vertical directions when being pulled/pressed in one direction.
The component provided by the invention has a simple plane configuration, and can be produced in batches by a traditional machining method, so that the manufacturing cost is effectively reduced. Meanwhile, the mechanical property of the whole structure can be adjusted in multiple directions by changing materials or internal structures. Compared with a two-dimensional negative poisson ratio material, the assembled three-dimensional negative poisson ratio material provided by the invention can simultaneously present a negative poisson ratio effect in the other two vertical directions when being pulled/pressed in one direction, and has wider application scenes; compared with a three-dimensional negative poisson ratio material integrally formed by a 3D printing technology, the three-dimensional negative poisson ratio material has the advantages that the rigidity, the negative poisson ratio and other mechanical properties can be adjusted in multiple directions, and better flexibility is realized.
The above embodiment is only a preferred embodiment of the present invention, but it is not intended to limit the present invention. Various changes and modifications may be made by one of ordinary skill in the pertinent art without departing from the spirit and scope of the present invention. Therefore, all the technical schemes obtained by adopting the equivalent substitution or equivalent transformation are within the protection scope of the invention.
Claims (10)
1. The assembled three-dimensional negative poisson ratio metamaterial structure is characterized by comprising a plurality of first main boards (1), second main boards (2), first connecting pieces (4) and two third main boards (3); the first main board (1) and the second main board (2) are parallel to each other, and the first main board (1) and the second main board (2) are alternately arranged and connected through a joggle joint of the first connecting piece (4); the third main board (3) is used as the outermost layer of the three-dimensional negative poisson ratio metamaterial structure and is fixed on the inner layer through joggle of the first connecting piece (4); the inner side layer is a first main board (1) or a second main board (2);
the first main board (1) and the second main board (2) are formed by arranging first unit cell structures (6) in an array manner, and the first unit cell structures (6) on the first main board (1) and the second main board (2) are arranged in a staggered manner; the third main board (3) is formed by arranging second unit cell structures (7) in an array manner;
the first unit cell structure (6) and the second unit cell structure (7) are an integral body formed by a hollow concave hexagonal structure and two wedge blocks; the concave hexagonal structure is in a left-right symmetrical dovetail shape, two equal-length sides at the outer side are supporting cell arms, and four equal-length hypotenuses at the inner side are first bending ribs; the first mentionedThe inner side of each supporting cell arm in the single cell structure (6) is provided with a wedge block in the shape of an isosceles trapezoid, and the wedge block is provided with a clamping groove for joggling; a clamping groove for joggling is formed in the inner side of one side supporting cell arm in the second unit cell structure (7); width of the clamping grooveS L Material thickness with first main board (1), second main board (2), third main board (3) and first connecting piece (4)bAre all equal; height of the clamping grooveS h Less than the height of the wedgeh；
Protrusions which are in one-to-one correspondence with clamping grooves in a first unit cell structure (6) on the first main board (1) and the second main board (2) are respectively arranged on two sides of the first connecting piece (4); the protrusions on both sides of the first connecting piece (4) are connected by second bending ribs.
2. The fabricated three-dimensional negative poisson's ratio metamaterial structure of claim 1, further comprising a material thickness ofbA second connection piece (5) of (a); a clamping groove matched with the second connecting piece (5) is formed in a supporting cell arm of the second single cell structure (7) at the bottom side of the third main board (3); two sides of the second connecting piece (5) are respectively provided with bulges which are in one-to-one correspondence with the second unit cell structures (7) on the third main board (3) and the clamping grooves in the first unit cell structures (6) on the first main board (1) or the second main board (2).
3. The fabricated three-dimensional negative poisson's ratio metamaterial structure according to claim 2, wherein the length relationship between the support cell arms and the first curved ribs satisfies the formula:wherein the included angle between the supporting cell arm and the first bending rib isθThe distance between the two outer supporting cell arms isHThe midpoint distance of the two first bending ribs positioned on the same supporting cell arm isL。
4. According to claim 3The assembled three-dimensional negative poisson ratio metamaterial structure is characterized in that an included angle between the supporting cell arm and the first bending ribθThe range of (2) is 40 DEG to 60 deg.
5. The fabricated three-dimensional negative poisson's ratio metamaterial structure according to claim 3, wherein the second curved rib has an inclination angle ranging from 40 ° to 60 °.
6. A fabricated three-dimensional negative poisson's ratio metamaterial structure according to claim 3, wherein the width of the first curved rib in the first unit cell structure (6) and the second unit cell structure (7) istThe range of (2) is 1.5-2.2 mm, and the thickness of the material is as followsbIs of widtht1.5 to 3 times of the total weight of the steel sheet.
7. The fabricated three-dimensional negative poisson's ratio metamaterial structure according to claim 3, wherein the waist length L of the wedge isxEqual to the inner length L of the first curved riby。
8. The assembled three-dimensional negative poisson ratio metamaterial structure according to claim 3, wherein the materials of the first main board (1), the second main board (2), the third main board (3), the first connecting piece (4) and the second connecting piece (5) are aluminum or low carbon steel.
9. The fabricated three-dimensional negative poisson's ratio metamaterial structure according to claim 8, wherein the material is 304 stainless steel.
10. An assembly method of the three-dimensional negative poisson ratio metamaterial structure according to any one of claims 2 to 9, which is characterized by comprising the following steps:
s1: determining the size parameters and the number of the first main board (1), the second main board (2), the third main board (3), the first connecting piece (4) and the second connecting piece (5) according to the size of the three-dimensional negative poisson ratio metamaterial structure to be assembled;
s2: preparing a first main board (1), a second main board (2), a first connecting piece (4), a second connecting piece (5) and a third main board (3) through a laser processing technology;
s3: the first main boards (1) and the second main boards (2) are alternately arranged, and the first main boards (1) and the second main boards (2) are connected through joggles of first connecting pieces (4); the third main board (3) is used as the outermost layer of the three-dimensional negative poisson ratio metamaterial structure and fixedly connected with the inner layer through joggles of the first connecting piece (4); the inner side layer is a first main board (1) or a second main board (2); the clamping groove part arranged on the supporting cell arm of the second single cell structure (7) at the bottom side of the third main board (3) is connected with the inner side layer joggle joint through the second connecting board (5), and the rest clamping groove parts are connected with the inner side layer joggle joint through the first connecting board (2), so that the three-dimensional negative poisson ratio metamaterial structure assembly is completed.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202310503897.9A CN116928251A (en) | 2023-05-06 | 2023-05-06 | Assembled three-dimensional negative poisson ratio metamaterial structure and assembling method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202310503897.9A CN116928251A (en) | 2023-05-06 | 2023-05-06 | Assembled three-dimensional negative poisson ratio metamaterial structure and assembling method |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN116928251A true CN116928251A (en) | 2023-10-24 |
Family
ID=88383349
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202310503897.9A Pending CN116928251A (en) | 2023-05-06 | 2023-05-06 | Assembled three-dimensional negative poisson ratio metamaterial structure and assembling method |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN116928251A (en) |
-
2023
- 2023-05-06 CN CN202310503897.9A patent/CN116928251A/en active Pending
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN106960096A (en) | Three-dimensional negative stiffness honeycomb and preparation method thereof | |
| GB2578296A (en) | Materials and structures exhibiting Zero Poisson's Ratio | |
| CN110851951B (en) | Three-dimensional zero poisson ratio honeycomb structure with equivalent elastic performance in three main directions | |
| Das et al. | Bending analysis of stiffened composite conoidal shell roofs through finite element application | |
| CN114741811A (en) | Variable-rigidity three-dimensional concave negative Poisson ratio cell element and design method thereof | |
| CN111883094A (en) | Honeycomb edge-folded structure film acoustic metamaterial | |
| CN110985872B (en) | Part with lattice structure, lattice structure and lattice cell element | |
| CN116928251A (en) | Assembled three-dimensional negative poisson ratio metamaterial structure and assembling method | |
| CN114055859A (en) | Honeycomb structure easy to bend and capable of adapting to different curved surfaces | |
| CN111969327B (en) | Deformation-designable and non-contact-controllable two-dimensional mechanical metamaterial | |
| CN210742944U (en) | Three-dimensional zero Poisson ratio microscopic structure based on star structure and macroscopic structure thereof | |
| CN114523662B (en) | Three-dimensional metamaterial functional component and manufacturing method thereof | |
| CN110619189A (en) | Three-dimensional zero Poisson ratio microscopic structure based on star structure and macroscopic structure thereof | |
| CN113730661B (en) | Multilayer lattice material structure | |
| CN111177859B (en) | Dynamics equivalent continuum modeling method for truss antenna | |
| CN114838072A (en) | Negative Poisson ratio honeycomb cell element and multi-cell structure introducing square function curved edge | |
| CN111559735A (en) | Negative Poisson ratio structure based on rotary rod unit | |
| Liew et al. | A higher-order theory for vibration analysis of curvilinear thick shallow shells with constrained boundaries | |
| Goswami et al. | Finite element analysis of laminated composite stiffened shell | |
| CN111723500B (en) | Composite energy absorption structure based on Mi-shaped unit twin crystal type micro-truss structure and 3D printing method thereof | |
| Singh et al. | Buckling of thick layered composite plates under inplane moment loading | |
| CN111723501B (en) | Composite energy absorption structure based on square unit polycrystalline type micro-truss structure and 3D printing method thereof | |
| Holt et al. | Finite elements for honeycomb sandwich plates and shells*: Part 2: Numerical results and testing | |
| CN220470524U (en) | Novel zero poisson ratio lattice structure for improving mechanical property | |
| CN116705202A (en) | Three-dimensional double-arrow negative poisson ratio structure and design method thereof |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination |