CN111063403B - Novel three-dimensional negative poisson ratio honeycomb structure - Google Patents

Novel three-dimensional negative poisson ratio honeycomb structure Download PDF

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CN111063403B
CN111063403B CN201911274314.XA CN201911274314A CN111063403B CN 111063403 B CN111063403 B CN 111063403B CN 201911274314 A CN201911274314 A CN 201911274314A CN 111063403 B CN111063403 B CN 111063403B
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梁军
沈建邦
葛敬冉
张启
刘亚波
高付超
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Beijing Institute of Technology BIT
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Abstract

The invention relates to a novel three-dimensional negative poisson ratio honeycomb structure, which comprises a combination body and a connector, wherein the combination body comprises a monomer and a side connector, the monomer is of a concave hexagon, the side connector is a monomer with a through groove, the width of the through groove is the same as that of the monomer, the side connector is fixedly connected to the middle parts of planes on two sides of the monomer, the connector is respectively fixedly connected to the monomer and the side connector, and a plurality of groups of combination bodies are in a honeycomb shape through the connector array.

Description

Novel three-dimensional negative poisson ratio honeycomb structure
Technical Field
The invention relates to the technical field of material structures, in particular to a novel three-dimensional negative poisson ratio honeycomb structure.
Background
With the development of engineering technology, materials with conventional mechanical properties cannot meet the requirement standards of people in certain fields, so that materials with special mechanical properties and negative poisson ratio gradually enter the field of view of scientific researchers. As shown in fig. 1, the honeycomb structure with negative poisson ratio (namely, the structure that the material expands transversely in the elastic range when stretched and contracts transversely when compressed) has the advantages of better energy absorption effect, higher specific strength and specific rigidity, excellent shock absorption performance, smaller relative density and the like, and higher porosity, so that the complex multi-functionality of the design structure is possible.
However, the three-dimensional honeycomb structure shown in fig. 1 is composed of six two-dimensional concave hexagonal honeycomb structures, and when being loaded unidirectionally, three two-dimensional concave hexagonal honeycomb structures with bearing capacity mainly in the direction are provided, so that the bearing utilization efficiency of the structure is low, and the energy absorbing capacity is not fully developed and utilized.
Thus, in view of the above shortcomings, there is a need to provide a novel three-dimensional negative poisson's ratio honeycomb structure.
Disclosure of Invention
First, the technical problem to be solved
The invention aims to solve the technical problem of insufficient utilization efficiency of a bearing structure.
(II) technical scheme
In order to solve the technical problems, the invention provides a novel three-dimensional negative poisson ratio honeycomb structure, which comprises a combination body and a connector, wherein the combination body comprises a single body and a side connector, the single body is of a concave hexagon, the side connector is a single body with through grooves, the width of the through grooves is the same as that of the single body, the side connector is fixedly connected to the middle parts of the plane on two sides of the single body, the connectors are respectively fixedly connected to the single body and the side connector, and a plurality of groups of combination bodies are in a honeycomb shape through a connector array.
By adopting the technical scheme, the combined body array honeycomb structure with two crossed monomers is adopted, when the structure is unidirectionally loaded, the two monomers of the single combined body cell provide bearing capacity, the utilization efficiency of the bearing structure is higher, and the energy absorbing capacity of the structure is greatly improved.
As a further illustration of the present invention, it is preferred that the number of layers of the plurality of array of assemblies be two.
Through adopting above-mentioned technical scheme, adopt the array distribution of two-layer, can guarantee that honeycomb has qualified structural strength, and compare current honeycomb of the same layer number, its bearing capacity is higher, can reduce the material again and throw into, obtain two purposes.
As a further explanation of the present invention, it is preferable that two assemblies and a connecting body connecting the two assemblies are one group.
By adopting the technical scheme, when being loaded unidirectionally, two single bodies in the three-dimensional negative poisson ratio honeycomb structure unit cell formed by the two combined bodies and the connecting body provide bearing capacity, so that compared with the original three-dimensional negative poisson ratio honeycomb structure, the bearing capacity and energy absorbing capacity of the structure can be greatly improved.
As a further explanation of the present invention, preferably, the connector is a cross square rod, and the ends of the connector are fixedly connected at the concave ends of the single body and the side connector.
Through adopting above-mentioned technical scheme, the usable connector converts the longitudinal force into the force that directly points to monomer and the internal concave end of flank, makes monomer and flank absorb more energy through elastic deformation, directly improves the energy-absorbing ability of structure to adopt cross connection, still can guarantee to have good joint strength between two combinations.
As a further explanation of the present invention, it is preferable that the cells are axisymmetric planar concave hexagons, the length of the cells is the same as the height, and the end point pitch of the cells is one half of the length of the cells.
By adopting the technical scheme and matching with the characteristics of materials, the unit cell is easier to absorb energy and deform when being stressed, so that the unit cell and the side connector are prevented from being broken by pressing, and the unit cell can be ensured to be restored to the original state after being unloaded.
As a further illustration of the present invention, it is preferred that the length of the linker is the same as the monomer length.
By adopting the technical scheme, reasonable gaps are formed between the combination body and between the unit cells, so that a deformation margin is reserved when the structure is elastically deformed, excellent connection strength can be ensured, and the problem that the connection body is broken due to insufficient bearing capacity is avoided.
(III) beneficial effects
The technical scheme of the invention has the following advantages:
according to the invention, a novel three-dimensional negative poisson ratio honeycomb structure is obtained by vertically intersecting the two-dimensional concave honeycomb structure, when longitudinal bearing occurs, two assemblies in a unit cell are used as main bearing parts, the structure utilization rate is higher, and compared with the original traditional three-dimensional negative poisson ratio honeycomb structure, the energy absorption effect of the structure is obviously improved.
Drawings
FIG. 1 is a diagram of a three-dimensional negative Poisson's ratio honeycomb structure in the prior art;
FIG. 2 is a three-dimensional negative poisson's ratio honeycomb structure of the present invention;
FIG. 3 is a diagram of the structure of a unit cell of the present invention;
FIG. 4 is a block diagram of a monomer according to the present invention;
FIG. 5 is a stress-strain contrast graph of the present invention with the prior art;
fig. 6 is a graph of stress-strain curve for the invention cd=4 versus the prior art;
fig. 7 is a stress-strain graph for ae=8 according to the present invention versus the prior art;
FIG. 8 is a graph of stress-strain curve for the present invention at 0.8 times the wall thickness compared to the prior art;
FIG. 9 is a graph of stress strain for a wall thickness of 1.2 times the prior art of the present invention.
In the figure: 1. a combination body; 11. a monomer; 12. a side connector; 2. a connector.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments of the present invention. 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.
The utility model provides a novel three-dimensional negative poisson ratio honeycomb, combines fig. 2, fig. 3, including assembly 1 and connector 2, two assemblies 1 and connect the connector 2 between two assemblies 1 for a unit cell, a plurality of group's assembly 1 become cellular through connector 2 array promptly, when one-way atress, the three-dimensional negative poisson ratio honeycomb unit cell of unit cell that two assemblies 1 and connector 2 constitute all provides bearing capacity to compare with original three-dimensional negative poisson ratio honeycomb, bearing capacity and the energy-absorbing ability that can improve the structure greatly.
In combination with fig. 3 and 4, the combination 1 comprises a single body 11 and a side connector 12, wherein the single body 11 is an axisymmetric concave hexagonal prism with a square section, for the purpose of describing clear connection, the hexagonal ends of the single body 11 are respectively a, b, c, d, e, f, wherein the two ends of the concave are c and d, meanwhile, the intersection points of the longitudinal central line of the single body 11 and the upper rod piece and the lower rod piece are g and h respectively, and the length and the height of the single body 11 are the same, namely ab=ef=ae=bf; the spacing between the concave end points of the single body 11 is one half of the length of the single body 11, namely
Figure BDA0002315115740000051
The side connector 12 is a concave hexagonal prism body perpendicular to the single body 11 and is arranged at the gh position, the width is the same as that of the single body 11, the gh two ends of the side connector 12 are respectively and correspondingly fixedly connected at the gh ends of the planes at the two sides of the single body 11, and the properties of materials can be matched, so that the single cell is easier to absorb energy and deform when being stressed, the single body 11 and the side connector 12 can be prevented from being crushed, and the smooth recovery after unloading can be ensured.
Referring to fig. 3 and 4, the connector 2 is a cross square rod, the end of the connector 2 is fixedly connected at the concave ends of the monomer 11 and the side connector 12, namely, the connector 2 is fixedly connected at the c and d positions, the length of the connector 2 is the same as that of the monomer 11, and the connector 2 can be used for converting longitudinal force into force which is directly directed to the concave ends of the monomer 11 and the side connector 12, so that the monomer 11 and the side connector 12 can absorb more energy through elastic deformation, the energy absorbing capability of the structure is directly improved, and the cross connection is adopted, so that the two assemblies 1 can be ensured to have excellent connection strength; meanwhile, the length of the connecting body 2 is the same as that of the single body 11, so that reasonable gaps are reserved between the combined body 1 and between single cells, deformation space can be reserved when the structure is elastically deformed, excellent connection strength can be ensured, and the problem that the connecting body is broken due to insufficient bearing capacity is avoided.
With reference to fig. 2 and 3, the number of layers of the plurality of combination body 1 (or unit cell) arrays is two, and the two layers of arrays are distributed, so that the honeycomb structure can be ensured to have qualified structural strength, and compared with the existing honeycomb structure with the same number of layers, the bearing capacity is higher, the material investment can be reduced, and two purposes are achieved.
To verify that the above design meets the expected effect, a quasi-static compression experiment was performed on the three-dimensional negative poisson's ratio honeycomb structure of the prior art and the present invention:
the three-dimensional negative poisson ratio honeycomb structure in the prior art and the three-dimensional negative poisson ratio honeycomb structure of the invention are obtained by 3D printing nylon, wherein the structural parameters of the single body 11 in the three-dimensional negative poisson ratio honeycomb structure in the prior art are the same as those of the single body 11 in the three-dimensional poisson ratio honeycomb structure of the invention, namely ab=ef=ae=bf=10mm, cd=5mm, the number of sample layers is two, and the contact areas of the upper end face and the lower end face are the same.
Then respectively placing the two on a compressor, and obtaining a stress-strain curve by applying an experimental speed of 2mm/min to the two; by utilizing Abaqus finite element analysis software to perform finite element analysis on the two, quasi-static compression is simulated, wherein structural parameters are unchanged, a loading mode is set as a smooth step to simulate quasi-static compression, and the first derivative and the second derivative of the loading step are both zero, so that the fluctuation influence in the loading process can be eliminated. The compression distance was 18mm, the loading time was 144ms, and the average loading speed was 0.125m/s.
As shown in fig. 5, a stress-strain curve contrast graph is obtained by experimental and finite element analysis of a three-dimensional negative poisson ratio honeycomb structure of the prior art and a three-dimensional negative poisson ratio honeycomb structure of the present invention, wherein w represents the three-dimensional negative poisson ratio honeycomb structure of the present invention, and x represents the three-dimensional negative poisson ratio honeycomb structure of the prior art; w-m represents the result of finite element simulation of the invention, w-s represents the result of actual experiment of the invention by using the tester, x-m represents the result of finite element simulation of the prior art, and x-s represents the result of actual experiment by using the tester.
In order to make the data result of finite element simulation more fit with the data result of actual experiment, the thickness parameter is increased during finite element analysis, and the same value is given to the thickness parameter because the rod section of the single body 11 is square; in order to compare the mechanical properties of the structure of the invention with those of the structure of the prior art, the relative density data of the structure of the invention and the structure of the prior art are required to be the same, so that the wall thickness of the prior art is selected to be 1, and the wall thickness of the invention is 1.2605.
By analyzing the stress-strain curve graph, whether by finite element analysis or actual experiment results, the bearing capacity of the invention is about twice that of the prior art.
In order to avoid the occurrence of contingency, the invention also provides analysis data of a plurality of groups of parameter changes, the original cd=5 is changed into cd=4 in combination with fig. 4 and 6, and the other parameters are unchanged, at the moment, finite element analysis is carried out on the honeycomb structure of the invention and the honeycomb structure of the prior art, a current stress-strain curve graph is obtained, and the honeycomb structure of the invention is still stronger in bearing capacity than the honeycomb structure of the prior art even though the size between pits is changed through comparison.
Referring to fig. 4 and 7, the original ae=bf=gh=10 is changed to ae=bf=gh=8, and the rest parameters are unchanged, at this time, finite element analysis is performed on the honeycomb structure of the present invention and the honeycomb structure of the prior art, and a lower stress strain curve chart is obtained, and it is known by comparison that even if the height of the single body 11 is changed, the bearing capacity of the honeycomb structure of the present invention is still higher than that of the honeycomb structure of the prior art.
Referring to fig. 4 and 8, when the wall thickness is 0.8 times of the original wall thickness and the rest parameters are unchanged, it is known by comparison that the bearing capacity of the honeycomb structure of the invention is still stronger than that of the honeycomb structure of the prior art even if the wall thickness is reduced.
Referring to fig. 4 and 9, when the wall thickness is 1.2 times of the original wall thickness and the rest parameters are unchanged, it is known by comparison that the bearing capacity of the honeycomb structure of the invention is still stronger than that of the honeycomb structure of the prior art even if the wall thickness is increased.
In summary, the invention adopts the combined body array honeycomb structure which approximately crosses two monomers, and the two combined bodies of the single cell provide bearing capacity, so that compared with the original traditional three-dimensional negative poisson ratio honeycomb structure, the structure utilization rate is higher, the bearing structure utilization efficiency is higher, and the energy absorbing capacity of the structure is greatly improved.
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 (3)

1. A novel three-dimensional negative poisson's ratio honeycomb structure, characterized in that: the connecting structure comprises a combination body (1) and a connecting body (2), wherein the combination body (1) comprises a single body (11) and a side connecting body (12), the single body (11) is an axisymmetric plane concave hexagon, the length of the single body (11) is the same as the height, and the interval between the concave end points of the single body (11) is one half of the length of the single body (11); the side connecting bodies (12) are single bodies with through grooves, the width of each through groove is the same as that of the single body (11), the side connecting bodies (12) are fixedly connected to the middle parts of the plane surfaces of the two sides of the single body (11), the connecting bodies (2) are cross square rods, and the lengths of the connecting bodies (2) are the same as that of the single body (11); the end of the connector (2) is fixedly connected with the concave ends of the monomer (11) and the side connector (12); the combination bodies (1) of a plurality of groups are arrayed into a honeycomb shape through the connecting bodies (2).
2. The novel three-dimensional negative poisson's ratio honeycomb structure according to claim 1, wherein: the number of layers of the plurality of the arrays of the combination bodies (1) is two.
3. The novel three-dimensional negative poisson's ratio honeycomb structure according to claim 2, wherein: the two assemblies (1) and the connecting body (2) connecting the two assemblies (1) are a group.
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CN113808684A (en) * 2020-06-16 2021-12-17 湖南大学 Three-dimensional metamaterial structure with thermal expansion and Poisson's ratio capable of being regulated and controlled simultaneously and design method and application thereof
CN114013027B (en) * 2021-11-04 2024-03-15 西南大学 Construction method of strong-stability negative poisson ratio structure
CN113968197B (en) * 2021-12-09 2023-08-08 广州大学 Three-dimensional negative poisson ratio hourglass structure and honeycomb combined structure based on same
CN114832359B (en) * 2022-01-17 2023-09-19 大连理工大学 Negative poisson ratio skiing sports protective equipment suitable for multi-scene in summer and winter
CN114748214B (en) * 2022-03-14 2023-08-18 华中科技大学 Negative poisson ratio three-dimensional composite structural unit for bone implantation and bone fixation implant
CN115596793B (en) * 2022-09-13 2024-05-17 武汉科技大学 Negative poisson ratio honeycomb metamaterial with multi-step deformation effect
CN116920169A (en) * 2023-07-19 2023-10-24 北京科技大学 Three-dimensional negative poisson ratio metamaterial unit cell and array structure and manufacturing method thereof
CN117325513B (en) * 2023-11-07 2024-04-09 昆明理工大学 Three-dimensional honeycomb sandwich panel based on parallel negative poisson ratio

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