CN219263056U - Novel three-dimensional cube type zero poisson ratio structure and lightweight form thereof - Google Patents
Novel three-dimensional cube type zero poisson ratio structure and lightweight form thereof Download PDFInfo
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- CN219263056U CN219263056U CN202222670986.6U CN202222670986U CN219263056U CN 219263056 U CN219263056 U CN 219263056U CN 202222670986 U CN202222670986 U CN 202222670986U CN 219263056 U CN219263056 U CN 219263056U
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Abstract
The utility model discloses a novel three-dimensional cube type zero-poisson-ratio structure and a lightweight form thereof, wherein a three-dimensional cube type zero-poisson-ratio structure cell consists of cube nodes and rectangular rods, the three-dimensional cube type zero-poisson-ratio structure cell forms a three-dimensional cube type zero-poisson-ratio structure through geometric mirror images and periodic arrays, the lightweight form of the three-dimensional ring type zero-poisson-ratio structure cell consists of ring nodes and rectangular rods, the three-dimensional ring type zero-poisson-ratio structure cell forms a three-dimensional ring type zero-poisson-ratio structure through geometric mirror images and periodic arrays, and the three-dimensional cube type zero-poisson-ratio structure and the three-dimensional ring type zero-poisson-ratio structure both have the property of zero poisson ratio.
Description
Technical Field
The utility model relates to the technical field of zero poisson ratio structures, in particular to a three-dimensional lightweight zero poisson ratio structure.
Background
The metamaterial has been widely studied in recent years because of excellent mechanical properties, and as a mechanical metamaterial, the zero poisson ratio structure has the characteristic of no transverse deformation during axial stretching, and meanwhile, the zero poisson ratio structure has special properties, and the characteristics are particularly shown in the aspects of shear modulus, fracture resistance, indentation resistance, impact resistance, energy absorption vibration isolation and the like. Because of these excellent properties, the zero poisson's ratio structure plays an important role in biomedical, aerospace, marine fields, and the like.
Most of the existing zero poisson ratio structures stay in two-dimensional space and are all plane models, and three-dimensional zero poisson ratio structures are rare, however, many fields have three-dimensional requirements on the structures, such as internal filling of explosion-proof cabin doors, energy absorbing components of aircraft cargo hold floors and the like. Therefore, a novel three-dimensional zero poisson's ratio structure is necessary.
Disclosure of Invention
The utility model aims to provide a novel three-dimensional cube type zero poisson ratio structure and a lightweight form thereof, so that the structural form of the three-dimensional zero poisson ratio structure is further expanded.
In order to achieve the above object, the present utility model provides the following technical solutions:
the three-dimensional cube type zero poisson ratio structure consists of cells, the first cell 11 of the three-dimensional cube type zero poisson ratio structure consists of a cube node 112 and a first rectangular rod piece 111, the first cell 11 of the three-dimensional cube type zero poisson ratio structure forms a three-dimensional cube type zero poisson ratio structure 1 through geometric mirror images and periodic arrays, the three-dimensional ring type zero poisson ratio structure of the light weight form 2 of the three-dimensional cube type zero poisson ratio structure 1 consists of cells, the second cell 21 of the three-dimensional ring type zero poisson ratio structure consists of a ring node 212 and a second rectangular rod piece 211, the second cell 21 of the three-dimensional ring type zero poisson ratio structure forms a three-dimensional ring type zero poisson ratio structure 2 through geometric mirror images and periodic arrays, and the three-dimensional cube type zero poisson ratio structure 1 and the three-dimensional ring type zero poisson ratio structure 2 have zero poisson ratio properties.
The novel three-dimensional cube-type poisson ratio-free structure 1 and the lightweight form 2 thereof are characterized in that each surface of the cube node 112 is connected with a first rectangular rod 111.
The novel three-dimensional cube-type poisson ratio-free structure 1 and the lightweight form 2 thereof are characterized in that the first rectangular rod piece 111 is positioned at the center of the side length of the cube node 112.
The novel three-dimensional cube type zero poisson ratio structure 1 and the lightweight form 2 thereof are characterized in that the ring nodes 212 are formed by three rings which are perpendicular to each other.
The novel three-dimensional cube type zero poisson ratio structure 1 and the lightweight form 2 thereof are characterized in that each circular ring is connected with two second rectangular rods 211, and the connecting points are positioned at the two-to-two intersection positions of three circular rings.
The novel three-dimensional cube type zero poisson ratio structure 1 and the lightweight form 2 thereof are characterized in that the sections of the first rectangular rod piece 111 and the second rectangular rod piece 211 are square, and the side length of the section of the second rectangular rod piece 211 of the circular ring type zero poisson ratio structure 2 is the ring width of a circular ring.
The novel three-dimensional cube type zero poisson ratio structure 1 and the lightweight form 2 thereof are characterized in that the three-dimensional cube type zero poisson ratio structure 1 and the three-dimensional circular ring type zero poisson ratio structure 2 are both of central symmetry structures.
The novel three-dimensional cube type zero poisson ratio structure 1 and the lightweight form 2 thereof are characterized in that single first cells 11 of the three-dimensional cube type zero poisson ratio structure are arranged in a mirror image mode along an x-axis, the mirror image structure is arranged in a mirror image mode along a y-axis again, the mirror image structure is arranged in a mirror image mode along a z-axis again to form a representative volume unit, and the representative volume unit is arranged in a periodic array mode along the x-axis, the y-axis and the z-axis to form a three-dimensional periodic structure.
The novel three-dimensional cube type zero poisson ratio structure 1 and the lightweight form 2 thereof are characterized in that single second cells 21 of the three-dimensional ring type zero poisson ratio structure are arranged in a mirror image mode along an x axis, the mirror image structure is arranged in a mirror image mode along a y axis again, the mirror image structure is arranged in a mirror image mode along a z axis again to form a representative volume unit, and the representative volume unit is arranged in a periodic array mode along the x axis, the y axis and the z axis to form a three-dimensional periodic structure.
The novel three-dimensional cube type zero poisson ratio structure 1 and the lightweight form 2 thereof are characterized in that the structure is made of aluminum alloy, stainless steel, titanium alloy, nylon or resin.
Drawings
In order to more clearly illustrate the embodiments of the present utility model or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below; it is obvious that the drawings in the following description are only some embodiments of the present utility model, and that other drawings may be obtained from these drawings without inventive effort for a person of ordinary skill in the art.
FIG. 1a is a schematic diagram of a three-dimensional cube type zero Poisson's ratio structure, and FIG. 1b is a schematic diagram of a three-dimensional circular ring type zero Poisson's ratio structure;
fig. 2a is a single cell of a three-dimensional cubic zero poisson ratio structure, and fig. 2b is a single cell of a three-dimensional circular zero poisson ratio structure;
FIG. 3 is a schematic diagram of a three-dimensional cubic zero Poisson's ratio structure deformation mechanism;
FIG. 4 is a deformation of a three-dimensional cubic zero Poisson's ratio structure upon receiving a downward pressure load;
the reference numerals in the drawings are: 1-three-dimensional cubic zero poisson ratio structure, 2-three-dimensional circular zero poisson ratio structure, 11-first cell, 111-first rectangular bar, 1111-upper rectangular bar, 1112-left rectangular bar, 1113-right rectangular bar, 112-cube node, 1121-left cube node, 1122-middle cube node, 1123-right cube node, 21-second cell, 211-second rectangular bar, 212-circular ring node;
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present utility model more apparent, the technical solutions of the embodiments of the present utility model will be clearly and completely described with reference to fig. 1 to 4 of the drawings in the embodiments of the present utility model, and it is apparent that the described embodiments are some embodiments of the present utility model, but not all embodiments of the present utility model. All other embodiments, based on the embodiments of the utility model, which are apparent to those of ordinary skill in the art without inventive faculty, are intended to be within the scope of the utility model.
Thus, the following detailed description of the embodiments of the utility model, as presented in the figures, is not intended to limit the scope of the utility model, as claimed, but is merely representative of selected embodiments of the utility model. All other embodiments, based on the embodiments of the utility model, which are apparent to those of ordinary skill in the art without inventive faculty, are intended to be within the scope of the utility model.
It should be noted that: like reference numerals and letters denote like items in the following figures, and thus once an item is defined in one figure, no further definition or explanation thereof is necessary in the following figures.
In the description of the present utility model, it should be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", "clockwise", "counterclockwise", etc. indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings are merely for convenience in describing the present utility model and simplifying the description, and do not indicate or imply that the apparatus or elements referred to must have a specific orientation, be configured and operated in a specific orientation, and thus should not be construed as limiting the present utility model.
Furthermore, the terms "first," "second," and the like, are used for descriptive purposes only and are not to be construed as indicating or implying a relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defining "a first" or "a second" may explicitly or implicitly include one or more such feature. In the description of the present utility model, the meaning of "a plurality" is two or more, unless explicitly defined otherwise.
In the present utility model, unless explicitly specified and limited otherwise, the terms "mounted," "connected," "secured," and the like are to be construed broadly, and may be, for example, fixedly connected, detachably connected, or integrally formed; can be directly connected or indirectly connected through an intermediate medium, and can be communicated with the inside of two elements or the interaction relationship of the two elements. The specific meaning of the above terms in the present utility model can be understood by those of ordinary skill in the art according to the specific circumstances.
In order to make the technical scheme of the present utility model better understood by those skilled in the art, the present utility model will be further described in detail with reference to the accompanying drawings.
Due to the complexity of the structure, the structure proposal provided by the utility model adopts the 3D printing technology to carry out integrated forming preparation, so that on one hand, the processing precision and the integrity of the structure are ensured, on the other hand, the processing cost can be reduced, and the processing efficiency is improved. It should be noted that the base material of the structure of the utility model can be metal such as aluminum alloy, stainless steel, titanium alloy, and the like, or nonmetal material such as nylon, resin, and the like, and can be selected according to specific application occasions and mechanical property requirements. In the analysis of this example, titanium alloy was selected as the base material to study the deformation and mechanical response of the structure. In order to clearly show the special deformation mode and stress-strain response of the structure, compression simulation modeling is carried out on the structure by means of finite element analysis software ANASYS WORKBENCH, so that the deformation modes of the three-dimensional cube type zero-poisson-ratio structure 1 and the three-dimensional circular ring type zero-poisson-ratio structure 2 are obtained, and the deformation modes are shown in figure 4.
As can be seen from fig. 4, the nodes of the three-dimensional cubic zero poisson ratio structure 1 and the three-dimensional circular ring type zero poisson ratio structure 2 rotate, and the forces on two sides of the nodes are equal in magnitude and opposite in direction due to the symmetry of the structures, so that the nodes only rotate and do not displace. From a macroscopic view, the three-dimensional cube type zero poisson ratio structure 1 and the three-dimensional circular ring type zero poisson ratio structure 2 have zero transverse displacement value and zero poisson ratio property under the condition of receiving downward compression load.
Working principle: as shown in fig. 2, when the structure receives a vertically downward force in the Y direction, the upper rectangular bar 1111 of the rectangular bar in the Y direction is bent and deformed, and since the upper rectangular bar 1111 is located at the center of the side length of the node of the middle cube, the deformation of the upper rectangular bar 1111 causes the node to perform a rotational movement in the XOY plane by an angle θ. When a downward force is applied, the left cube node 1121 and the middle cube node 1122 undergo shrinkage displacement under the bending action of the left rectangular rod 1112, the displacement is 2b, and the relationship between the triangle side lengths can be known:
the displacement variation of the center-to-center spacing of left cube node 1121 and middle cube node 1122 is:
dL＝(L+d)-[2a+(L-2b)] (2)
substituting (1) into (2) to obtain
dL＝d(1-cosθ) (3)
The dL is obtained as the displacement of the middle cube node 1122 under the bending action of the left rectangular rod 1112. Because of the symmetry of the structure, the displacements of the left and right rectangular rods 1112, 1113 are equal and opposite to each other due to the bending of the middle cube node 1122, and the resulting displacement of the middle cube node 1122 in the X direction is not generated and only rotates in the XOY plane.
Finally, it should be noted that: the described embodiments are intended to be illustrative of only some, but not all, of the embodiments disclosed herein and, based on the embodiments disclosed herein, all other embodiments that may be made by those skilled in the art without the benefit of the teachings herein are intended to be within the scope of this application.
While certain exemplary embodiments of the present utility model have been described above by way of illustration only, it will be apparent to those of ordinary skill in the art that modifications may be made to the described embodiments in various different ways without departing from the spirit and scope of the utility model. Accordingly, the drawings and description are to be regarded as illustrative in nature and not as restrictive of the scope of the utility model, which is defined by the appended claims.
Claims (10)
1. A novel three-dimensional cube zero poisson's ratio structure (1) and its lightweight form, characterized in that it comprises,
the three-dimensional cube type zero poisson ratio structure consists of cells, a first cell (11) of the three-dimensional cube type zero poisson ratio structure consists of cube nodes (112) and first rectangular rods (111), the first cell (11) of the three-dimensional cube type zero poisson ratio structure forms a three-dimensional cube type zero poisson ratio structure (1) through geometric mirror images and periodic arrays, a three-dimensional ring type zero poisson ratio structure (2) of the three-dimensional cube type zero poisson ratio structure (1) in a lightweight form consists of cells, a second cell (21) of the three-dimensional ring type zero poisson ratio structure consists of ring nodes (212) and second rectangular rods (211), the second cell (21) of the three-dimensional ring type zero poisson ratio structure forms a three-dimensional ring type zero poisson ratio structure (2) through geometric mirror images and periodic arrays, and the three-dimensional cube type zero poisson ratio structure (1) and the three-dimensional ring type zero poisson ratio structure (2) have zero poisson ratio properties.
2. A new three-dimensional cubic zero poisson's ratio structure (1) and its light-weight version according to claim 1, characterised in that each face of the cubic node (112) is connected to a first rectangular bar (111).
3. A new three-dimensional cubic zero poisson's ratio structure (1) and its light-weight form according to claim 1, characterized in that the first rectangular bar (111) is located at the centre of the side length of the cubic node (112).
4. The novel three-dimensional cubic zero poisson ratio structure (1) and the lightweight form thereof according to claim 1, wherein the ring nodes (212) are composed of three rings which are perpendicular to each other.
5. The novel three-dimensional cubic zero poisson ratio structure (1) and the lightweight form thereof according to claim 1, wherein each circular ring is connected with two second rectangular bars (211), and the connection points are located at the intersections of the three circular rings.
6. The novel three-dimensional cubic zero poisson ratio structure (1) and the lightweight form thereof according to claim 1, wherein the cross section of the first rectangular rod (111) and the cross section of the second rectangular rod (211) are square, and the side length of the cross section of the second rectangular rod (211) of the three-dimensional circular zero poisson ratio structure (2) is the ring width of a circular ring.
7. The novel three-dimensional cube type zero poisson ratio structure (1) and the lightweight form thereof according to claim 1 are characterized in that the three-dimensional cube type zero poisson ratio structure (1) and the three-dimensional ring type zero poisson ratio structure (2) are both centrosymmetric structures.
8. The novel three-dimensional cubic zero poisson ratio structure (1) and the lightweight form thereof according to claim 1, wherein the single first cells (11) of the three-dimensional cubic zero poisson ratio structure are arranged in a mirror image along an x-axis, the mirror image structure is arranged in a mirror image along a y-axis again, the mirror image structure is arranged in a mirror image along a z-axis again to form a representative volume unit, and the representative volume unit is periodically arrayed along the x-axis, the y-axis and the z-axis to form the three-dimensional periodic structure.
9. The novel three-dimensional cubic zero poisson ratio structure (1) and the light-weight form thereof according to claim 1, wherein the single second cells (21) of the three-dimensional circular zero poisson ratio structure are arranged in a mirror image along an x-axis, the mirror image structure is arranged in a mirror image along a y-axis again, the mirror image structure is arranged in a mirror image along a z-axis again to form a representative volume unit, and the representative volume unit is arranged in a periodic array along the x-axis, the y-axis and the z-axis to form the three-dimensional periodic structure.
10. A novel three-dimensional cubic zero poisson's ratio structure (1) and its lightweight form according to claim 1, characterised in that the material of the structure is aluminium alloy or stainless steel or titanium alloy or nylon or resin.
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