A negative poisson's ratio metamaterial based on a paper-cut cell pattern and a design method thereof

Abstract

The present application relates to a kind of column class thin-walled structure negative poisson ratio based on paper-cut cell mode material and its design method, the whole of negative poisson ratio columnar thin-walled structure is built by repeated reconfiguration paper-cut cell, specific construction method includes the following steps: design reconfiguration paper-cut cell, by cell through along column axis rolling surface periodic repetition, construct columnar thin-walled structure negative poisson ratio model realizes thin-walled structure surface preset creasing and is formed by 3D printing;Solve the existing thin-walled structure broken peak force, post-buckling mode single, energy absorption efficiency is low, it is difficult to deal with the problem that energy absorption component low peak broken force in actual application process, high energy absorption demand, lead to its application scene is limited.

Description

Technical Field

[0001] This invention belongs to the field of design and manufacturing of negative Poisson ratio metamaterials for constructing columnar thin-walled structures. It relates to a locally negative Poisson ratio metamaterial for columnar thin-walled curved surface structures based on a paper-cut cell model and its design method. In particular, it relates to a design method for constructing negative Poisson ratio metamaterials for columnar thin-walled curved surface structures based on a paper-cut cell model to improve energy absorption efficiency. This design method can be applied to aerospace, transportation and important facilities that require shock and vibration reduction protection systems. Background Technology

[0002] In recent years, with the rapid development of my country's economy, the number of private cars has increased exponentially, leading to a sharp rise in traffic accident rates. Impact loads, in particular, cause enormous damage to life and property. Energy absorption devices, as a passive protection system, are designed to convert all or part of the kinetic energy into another form of energy during an impact, thereby mitigating the damage to personnel and major structures caused by impact loads. Therefore, energy absorption devices are crucial in various fields, from aerospace to automotive and civil engineering, and many researchers are currently conducting research on energy absorption systems.

[0003] Thin-walled structures, due to their advantages such as light weight, strong energy dissipation capacity under large deformation, and low cost, align with the important development trend of lightweighting and high performance in modern equipment applications, and are widely used in energy absorption devices. Energy-absorbing materials with cylindrical thin-walled structures have attracted much attention due to their uniform, stable, and sustained deformation process with uniform tangential / radial stress transmission, smaller initial impact, faster energy dissipation, and ease of manufacturing and low construction cost. However, existing traditional positive Poisson's ratio thin-walled structural materials suffer from high peak breaking force, a single post-buckling mode, and low energy absorption efficiency, making it difficult to address the low peak breaking force and high energy absorption requirements of energy absorption components in practical applications, thus limiting their application scenarios. In response, negative Poisson's ratio materials, a type of typical mechanical metamaterial, have emerged in recent years. Their unique mechanical behavior of axial tension and radial expansion, and axial compression and radial contraction can influence the post-buckling mode of thin-walled structures. Furthermore, materials with negative Poisson's ratio effects have significantly improved physical and mechanical properties compared to ordinary materials, such as excellent shear resistance, indentation resistance, fracture resistance, and energy absorption performance. It has particularly promising prospects in energy absorption, and therefore, the design of traditional thin-walled structures with negative Poisson ratio is expected to be used in aerospace, shipbuilding, automobile manufacturing and other fields.

[0004] Therefore, designing a thin-walled energy absorption system with good energy absorption stability, high energy absorption efficiency, and convenient assembly and disassembly, based on a negative Poisson's ratio structure, is of great value for improving material utilization, reducing the cost of protection systems, resisting unpredictable impacts, and reducing loss of life and property. It can greatly expand the application scenarios of ultra-thin-walled materials with negative Poisson's ratio energy absorption effects. Summary of the Invention

[0005] In view of this, in order to solve the problems of existing thin-walled structures having high peak breaking force, a single post-buckling mode, and low energy absorption efficiency, which make it difficult to cope with the low peak breaking force and high energy absorption requirements of energy absorption components in practical applications, thus limiting their application scenarios, this invention provides a columnar thin-walled structure with negative Poisson ratio metamaterial based on the paper-cut cell model and its design method.

[0006] To achieve the above objectives, the present invention provides the following technical solution:

[0007] A columnar thin-walled structure with negative Poisson's ratio based on a paper-cut cell pattern is proposed. This columnar thin-walled structure is constructed by arranging multiple repetitive reconstructed paper-cut cells in an array. The method for constructing the reconstructed paper-cut cells involves arranging a circular cylinder with an inner diameter of rd, an outer diameter of r, and a height of h along its circumference. Divide the direction into a equal parts, and divide the annular cylinder into b equal parts along the z-axis. Select a grid ABCEMHGFD on the outer surface of the annular cylinder, and the corresponding grid on its inner surface is A'B'C'D'E'M'H'G'F'D'. Connect the center point M on the outer surface of the annular cylinder to the four vertices ACFH (i.e., MA, MC, MF, MH) of the grid and perform preset creases as the initial cell base. Move the center vertex BEGD of the four sides outward by a distance l along the radial direction. Then connect the center point M' on the inner surface of the annular cylinder to the four vertices A'C'F'H' (i.e., M'A', M'C', M'F', M'H') of the grid and perform preset creases. Move the center vertex B'E'G'D' of the four sides outward by a distance l along the radial direction, and then move the inner and outer center points inward by a distance l' along the radial direction, thus forming the reconstructed paper-cut cell.

[0008] further, and All values ​​are integers, and the cylindrical coordinates are of size .

[0009] Furthermore, the number of cell layers in the reconstructed paper-cutting cell structure is n≥2, i.e., a≥2; b≥2.

[0010] Furthermore, the matrix material for the columnar thin-walled negative Poisson ratio metamaterial is a polymer, which is manufactured using 3D printing technology.

[0011] A design method for negative Poisson's ratio metamaterials with columnar thin-walled structures based on a paper-cutting cell model includes the following steps:

[0012] S1, Design Model:

[0013] S11. Using 3D modeling software, create a cylinder with radius r and height h. Delete the top and bottom surfaces of the cylinder using the software to obtain a roller surface. Then, tangentially rotate the entire roller surface... The direction divides the cylindrical surface into equal parts of 'a', and Let be an integer, and divide the cylindrical surface into b equal parts along the z-axis. It is an integer;

[0014] S12. Extrude the roller surface from step S11 with an offset of -d to obtain a cylindrical tube-shaped annular cylinder with a thickness of d. Select a grid ABCEMHGFD on the outer surface of the annular cylinder, and the corresponding grid on its inner surface is A'B'C'D'E'M'H'G'F'D'. Connect the center point M on the outer surface of the annular cylinder to the four vertices ACFH (i.e., MA, MC, MF, MH) of the grid to create a preset crease, which serves as the initial cell matrix. Move the inner and outer center points inward along the radial direction by a distance l′, where l′=ρ(γ,l), γ∈(0, 2π). Let the cylindrical coordinates of the center point of the grid be... The coordinates of position M are determined, and the original cylindrical coordinates of the other eight points are:

[0015]

[0016] S13. After moving BEGD outward by a distance l along the radial direction, the coordinates of the above eight points ABCEHGFD become...

[0017] The relationship between ρ, l, and r satisfies:

[0018]

[0019] r = r(l)

[0020] Among them, γ, α, β, ρ, z, d satisfies;

[0021] γ=α+β

[0022] α = ∠DME,

[0023] β=∠BMG,

[0024] γ∈(0, 2π), α∈(0, π), β∈(0, π), ρ∈(0, r), z∈(0, h), 0 < d < r / 10.

[0025] S14. Connect the center point M' of the inner surface of the annular cylinder to the four vertices A'C'F'H' of the grid (i.e., M'A', M'C', M'F', M'H') sequentially to perform preset crease shaping. The coordinates of M' are: After moving B'E'G'D' outward by a distance l along the radial direction, the coordinates of the eight points A'B'C'D'E'H'G'F'D' become:

[0026]

[0027] A three-dimensional reconstructed paper-cut cell model was obtained;

[0028] S2. The inner and outer grids after coordinate transformation in step S1 are periodically repeated on the inner and outer column roller surfaces to obtain a columnar thin-walled structured negative Poisson ratio model based on the paper-cutting cell model.

[0029] S3. Select different 3D printing raw materials; import the appropriate file format into the printing software, set the printing process according to the viscosity and flow characteristics of different printing materials, and no support material needs to be added during the printing process; slice the model to form the printing path, build the model, and upload the model to the 3D printer; unsupported 3D printing integrally forms the finished product, resulting in a columnar thin-walled structure with negative Poisson's ratio metamaterial based on the paper-cut cell model.

[0030] Further, in step S1, the model is created using Maxon Cinema 4D 3D modeling software, and the cylindrical pipe-shaped annular cylinder is obtained by extrusion offset using the Maxon Cinema 4D extrusion tool.

[0031] Furthermore, the construction of the three-dimensional reconstruction paper-cut cell model in step S1 is based on the paper-cut cell pattern.

[0032] Furthermore, in step S1, the cylinder radius r is set to 100, h is set to 280, the annular cylinder thickness d is set to 5, a is set to 30, b is set to 12, γ is set to 177.617°, and l′ is set to 76.587. Based on this, the basic reconstructed paper-cutting cell entity is established.

[0033] Furthermore, in step S3, the 3D printing raw material is one of the following: rubber-based silicone rubber, elastomer-based thermoplastic polyurethane (TPU), or plastic-based acrylonitrile-butadiene-styrene copolymer (ABS), polylactic acid (PLA), polycaprolactone (PCL).

[0034] Furthermore, in step S3, when the three-dimensional negative Poisson's ratio structure is manufactured using 3D printing technology, all support option settings are cleared to maintain a good printed shape during the layer-by-layer stacking process.

[0035] The beneficial effects of this invention are as follows:

[0036] 1. The negative Poisson's ratio metamaterial for columnar thin-walled structures based on a paper-cut cell model disclosed in this invention, because the thin-walled structural components are constructed from multiple reconstructed paper-cut cells stacked together, causes the folded hinges generated by the stacking of structural components to undergo bending deformation in the initial stage of a collision. This allows the kinetic energy of the collision to be dissipated in the form of internal energy, reducing the acceleration generated by the impact and thus mitigating the degree of damage. The plastic hinges of the multiple stacked cells, with stress concentration, can generate various post-buckling modes, improving energy absorption efficiency. Simultaneously, the negative Poisson's ratio effect causes the structural components to indent inward, accelerating the densification of the structure and further improving the energy absorption efficiency and impact resistance. Therefore, the thin-walled structural components constructed by the columnar thin-walled structure negative Poisson's ratio design method of this invention exhibit better energy absorption stability.

[0037] 2. The design method of negative Poisson's ratio metamaterial for columnar thin-walled structures based on the paper-cut cell model disclosed in this invention has more plastic hinge fold angles on the surface of rectangular dumbbell-shaped thin-walled tubes compared to traditional circular tubes. Since folding deformation of the plastic hinge fold angle is one of the main energy absorption methods during collision, it can effectively reduce the peak breaking force of the structure. Therefore, the energy absorption effect of this negative Poisson's ratio combined structure is significantly better than that of the traditional thin-walled circular tube combined structure.

[0038] 3. The design method for negative Poisson's ratio metamaterials of columnar thin-walled structures based on the paper-cutting cell model disclosed in this invention involves constructing the entire negative Poisson's ratio columnar thin-walled structure from repeating basic units. The specific construction method includes: designing basic units; periodically repeating these basic units along the column axis; constructing a negative Poisson's ratio model of the columnar thin-walled structure; and 3D printing the structure by pre-setting creases on the surface of the thin-walled structure. Utilizing the negative Poisson's ratio characteristic of axial compression and radial contraction, the columnar thin-walled structure experiences stress concentration radially under axial force, forming an inward concave shape. This avoids unpredictable buckling in the tangential direction caused by stress concentration, preventing one-time structural failure. Compared to traditional thin-walled structures, the thin-walled structure constructed using this method reduces the peak breaking force, imparts multiple effective post-buckling modes, and improves the energy absorption efficiency of the thin-walled structure. It can be applied to energy-absorbing columns in vibration-damping raft structures, as well as the iterative upgrading of columnar structures as energy absorption devices, achieving the requirements of equipment weight reduction, efficiency improvement, and lightweighting.

[0039] 4. The design method of columnar thin-walled negative Poisson ratio metamaterials based on paper-cut cell model disclosed in this invention has cubic structure characteristics that support manufacturing by various 3D printing technologies. It has strong material applicability and combines the advantages of compatibility with various materials, which greatly expands the application scenarios of negative Poisson ratio materials.

[0040] 5. The design method of columnar thin-walled structure negative Poisson ratio metamaterial based on paper-cut cell pattern disclosed in this invention provides a design method to improve energy absorption efficiency by constructing columnar thin-walled structures with negative Poisson ratio based on paper-cut cell pattern. By stacking paper-cut cells in an array, variable plastic hinges are generated inside and outside, which have negative Poisson ratio characteristics of axial compression and radial contraction. This causes the stress of the columnar thin-walled structure to concentrate radially when subjected to axial force, forming an inward concave tendency. This avoids the unpredictable buckling in the tangential direction caused by stress concentration on the surface of the columnar thin-walled structure, which would lead to one-time breakage of the structure. Based on the pre-set crease of the paper-cut pattern, the cylindrical surface is modified, and the plastic hinge bending produces a local negative Poisson ratio effect. The columnar thin-walled structure negative Poisson ratio metamaterial solves the problems of high peak fracture force, irregular and uncontrollable post-buckling mode, and low energy absorption efficiency of existing thin-walled structures, which limit their application scenarios.

[0041] Other advantages, objectives, and features of the invention will be set forth in part in the description which follows, and in part will be apparent to those skilled in the art from the following examination, or may be learned from practice of the invention. The objectives and other advantages of the invention can be realized and obtained through the following description. Attached Figure Description

[0042] To make the objectives, technical solutions, and advantages of the present invention clearer, the preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings, wherein:

[0043] Figure 1 This is a schematic diagram of the columnar thin-walled structure based on the paper-cutting cell model of the present invention;

[0044] Figure 2 This is a quadrilateral cross-sectional view of the cylindrical surface of the thin-walled cylindrical structure based on the paper-cutting cell model of the present invention.

[0045] Figure 3 This is a diagram defining the parameters of the two-dimensional basic unit of the columnar thin-walled structure based on the paper-cutting cell model of this invention;

[0046] Figure 4 The three-view diagram shows the basic cell of the columnar thin-walled structure based on the paper-cut cell model of this invention.

[0047] Figure 5 This is a schematic diagram of the stacked structure of the columnar thin-walled structure based on the paper-cutting cell model of the present invention;

[0048] Figure 6 This is a diagram showing the local negative Poisson's ratio transformation process of the compressed form of the columnar thin-walled structure model based on the paper-cutting cell pattern of the present invention.

[0049] Figure 7This is a comparison chart of the compressive force-displacement curves of the columnar thin-walled structure model (example) based on the paper-cutting cell model of the present invention and the original columnar model (comparative example). Detailed Implementation

[0050] The following specific examples illustrate the implementation of the present invention. Those skilled in the art can easily understand other advantages and effects of the present invention from the content disclosed in this specification. The present invention can also be implemented or applied through other different specific embodiments, and various details in this specification can also be modified or changed based on different viewpoints and applications without departing from the spirit of the present invention.

[0051] A columnar thin-walled structure with negative Poisson's ratio based on a paper-cut cell pattern is proposed. This columnar thin-walled structure is constructed by arranging multiple repetitive reconstructed paper-cut cells in an array. The method for constructing the reconstructed paper-cut cells involves arranging a circular cylinder with an inner diameter of rd, an outer diameter of r, and a height of h along its circumference. Divide the direction into a equal parts. The integer part. Divide the annular cylinder into b equal parts along the z-axis; The coordinates are integers. Select a grid ABCEMHGFD on the outer surface of the annular cylinder, with corresponding grids A'B'C'D'E'M'H'G'F'D' on its inner surface. Connect MA, MC, MF, and MH sequentially to create preset creases, using this as the initial cell matrix. The cylinder coordinates are [value missing]. Move BEGD outward by a distance l along the radius direction; then connect M'A', M'C', M'F', and M'H' in sequence to perform preset creases. After moving B'E'G'D' outward by a distance l along the radius direction, move the inner and outer center points inward by a distance l′ along the radius direction, thus forming a reconstructed paper-cutting cell.

[0052] like Figures 1-5 The method shown is a design method for negative Poisson ratio metamaterials with columnar thin-walled structures based on the paper-cut cell model, which includes the following steps:

[0053] S1, Design Model:

[0054] S11. Using Maxon Cinema 4D 3D modeling software, create a cylinder with radius r and height h. Delete the top and bottom surfaces of the cylinder using the software to obtain a roller surface. Select the entire roller surface and establish a cylindrical coordinate system around it as follows: Figure 2 As shown, along the tangential direction The direction divides the cylindrical surface into equal parts of 'a', and Let be an integer, and divide the cylindrical surface into b equal parts along the z-axis. It is an integer.

[0055] S12. Using the Maxon Cinema 4D Extrusion tool, select the "Create Cap" option and choose an offset of -d for extrusion. This will create a cylindrical pipe with a thickness of d. Select a grid ABCEMHGFD on the outer surface of the cylindrical ring; the corresponding grid on its inner surface is A'B'C'D'E'M'H'G'F'D', as shown below. Figure 3 As shown. MA, MC, MF, and MH are sequentially connected and pre-defined creases are created to form the initial cell matrix, with cylindrical coordinates of size [value missing]. Move the inner and outer center points inward by a distance l′ along the radial direction, where l′=ρ(γ,r), γ∈(0,2π). Let the cylindrical coordinates of the center point of the grid be... The coordinates of position M are determined, and the original cylindrical coordinates of the other eight points are:

[0056]

[0057] S13. After moving BEGD outward by a distance l along the radial direction, the coordinates of the above eight points ABCEHGFD become...

[0058] The relationship between ρ, l, and r satisfies:

[0059]

[0060] r = r(l)

[0061] Among them, γ, α, β, ρ, z, d satisfies;

[0062] γ=α+β

[0063] α = ∠DME,

[0064] β=∠BMG,

[0065] γ∈(0, 2π), α∈(0, π), β∈(0, π), ρ∈(0, r), z∈(0, h), 0 < d < r / 10.

[0066] S14. Connect the center point M' of the inner surface of the annular cylinder to the four vertices A'C'F'H' of the grid (i.e., M'A', M'C', M'F', M'H') sequentially to perform preset crease shaping. The coordinates of M' are: After moving B'E'G'D' outward by a distance l along the radial direction, the coordinates of the eight points A'B'C'D'E'H'G'F'D' become...

[0067]

[0068] A three-dimensional reconstructed paper-cutting cell model is obtained. This three-dimensional reconstructed paper-cutting cell model is constructed based on the paper-cutting cell pattern. The pre-set creases on the surface of the constructed columnar thin-walled structure model are based on the pre-set adhesive creases of the paper-cutting cell pattern.

[0069] S2. Repeat step S1 as follows Figure 4 The basic unit shown in the three views was periodically repeated on the inner and outer cylindrical roller surfaces using Maxon Cinema 4D standard software, with tangential and axial periods respectively. and Obtain as Figure 1 The model shown is a columnar thin-walled structured negative Poisson ratio model constructed based on the paper-cutting cell pattern.

[0070] S3. Select different 3D printing raw materials; import the appropriate file format into the printing software, set the printing process according to the viscosity and flow characteristics of different printing materials, and no support material needs to be added during the printing process; slice the model to form the printing path, build the model, and upload the model to the 3D printer; unsupported 3D printing integrally forms the finished product, resulting in a columnar thin-walled structure with negative Poisson's ratio metamaterial based on the paper-cut cell model.

[0071] Example

[0072] like Figure 1 The method for designing negative Poisson's ratio metamaterials with cylindrical thin-walled structures based on a paper-cutting cell model includes the following steps: establishing a toroidal cylinder with a radius r of 100, a height h of 280, and a thickness d of 5, and establishing a cylindrical coordinate system.

[0073] S1. Using Maxon Cinema 4D 3D modeling software, delete the top and bottom surfaces of the annular cylinder to obtain a roller surface. Select the entire roller surface and create a model around it, tangentially along the circumference. The cylindrical surface is divided into 30 equal parts along the direction and 12 equal parts along the axial z direction. The value of γ is set to 177.617° and the value of l′ is 76.587.

[0074] Design basic unit model: Each basic unit consists of sixteen surface crease lines and sixteen outer boundary lines. The parameters of each two-dimensional basic unit are: r = 100, ρ = 76.587, l = 20, d = 5. The coordinates of each vertex on the outer and inner surfaces of the grid basic unit are:

[0075] A (100, 12°, 46.66), B (120, 0°, 46.66), C (100, 348°, 46.66), E (120, 348°, 23.33), H (10 0, 348°, 0), G (120, 0°, 0), F (100, 12°, 0), D (120, 348°, 23.33), M (76.57, 0°, 23.33), A' (95, 12°, 46.66), B' (115, 0°, 46.66), C' (95, 348°, 46.66), E' (115, 348°, 23.33), H' (9 5, 348°, 0), G' (115, 0°, 0), F' (95, 12°, 0), D' (115, 348°, 23.33), M' (71.57, 0°, 23.33).

[0076] S2. Repeat step S1 as follows Figure 4 The basic unit shown in the three views was periodically repeated on the inner and outer cylindrical roller surfaces using Maxon Cinema 4D standard software to obtain the following results: Figure 1 The model shown is a columnar thin-walled structured negative Poisson ratio model constructed based on the paper-cutting cell pattern.

[0077] The S3 3D printing uses thermoplastic polyurethane (TPU) filament as the raw material. The 3D printer used is a fused deposition modeling (FDM) 3D printer (Raise 3D). The appropriate file format is imported into the printing software, and the printing process is set according to the viscosity and flow characteristics of different printing materials. No support material is needed during the printing process. The model is sliced ​​to form the printing path, the model is built, and the model is uploaded to the 3D printer. The unsupported 3D printing process forms the entire structure, resulting in a columnar thin-walled metamaterial with a negative Poisson's ratio based on a paper-cut cell model.

[0078] The printing process parameters are set as follows:

[0079]

[0080] Matters not covered in this invention are common knowledge.

[0081] Comparative Example

[0082] The basic unit model used in the comparative model is the original columnar model. Figure 7 This is a comparison of the compressive force-displacement curves of the columnar thin-walled structure model based on the paper-cut cell pattern (example) and the original columnar model (comparative example). It is evident that the negative Poisson's ratio achieved by constructing a columnar thin-walled structure based on the paper-cut cell pattern in the example can significantly reduce the peak breaking force and improve energy absorption efficiency.

[0083] This design method for negative Poisson's ratio cylindrical thin-walled metamaterials based on the paper-cut cell model utilizes additive manufacturing to fabricate negative Poisson's ratio cylindrical thin-walled structural components. The structural component is composed of multiple reconstructed paper-cut cells stacked together. Each cell exhibits two deformation modes—convex and concave—under different tensile and compressive mechanical behaviors. When two cells are stacked, they form two different degrees of freedom of deformation—inward and outward—forming two included angles, δ and σ. Figure 5 As shown, during the impact process, stress is transmitted along the cell fold lines of the model structure. Stress concentration occurs at the fold lines at the cell connection angles, resulting in contraction deformation. This allows mechanical energy to be converted and diffused into internal energy, leading to a staged negative Poisson's ratio effect in the structural components. This reduces the peak fracture force of the thin-walled structure. With stress concentration, as... Figure 6 The two different degrees of freedom of deformation shown result in multiple post-buckling modes in the structural member during the compression process, which improves the energy absorption efficiency of the thin-walled structural member.

[0084] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and are not intended to limit it. Although the present invention has been described in detail with reference to preferred embodiments, those skilled in the art should understand that modifications or equivalent substitutions can be made to the technical solutions of the present invention without departing from the spirit and scope of the present invention, and all such modifications or substitutions should be covered within the scope of the claims of the present invention.

Claims

1. A negative Poisson's ratio metamaterial based on a pattern of paper-cut cells for a columnar thin-walled structure, characterized in that, The column class thin-walled structure negative Poisson's ratio metamaterial is constructed by repeatedly arranging a plurality of reconfigured paper cutting cells through a cylindrical surface array, and the reconfigured paper cutting cell construction method is as follows: a circular ring cylinder with an inner diameter of , an outer diameter of , and a height of is divided into parts along the circumferential direction and divided into parts along the axial direction ; a cross-shaped ABCEMHGFD on the outer surface of the circular ring cylinder is selected, and the corresponding cross-shaped A'B'C'D'E'M'H'G'F'D' on the inner surface is connected to the center point M on the outer surface of the circular ring cylinder to the four vertices ACFH of the cross-shaped four vertices in a preset creasing manner as an initial cell matrix, and the four vertices BEGD at the center of the four edges are moved outward along the radial direction by a distance ; then the center point M' on the inner surface of the circular ring cylinder is connected to the four vertices A'C'F'H' of the cross-shaped four vertices in a preset creasing manner, and the four vertices B'E'G'D' at the center of the four edges are moved outward along the radial direction by a distance ; then the inner and outer center points are moved inward along the radial direction by a distance , thereby forming the reconfigured paper cutting cell.

2. The columnar thin-walled structure negative Poisson's ratio metamaterial of claim 1, wherein, and are integers, and the cylindrical coordinate size is .

3. The columnar thin-walled structure negative Poisson's ratio metamaterial of claim 2, wherein, The reconstruction paper-cut cell structure cell layer n≥2, that is ≥2; ≥2, form a variable plastic hinge, stress compression, stress transmission along the fold, stress concentration occurs at the variable plastic hinge, plastic hinge bending deformation, reconstruction paper-cut cell to form a cylindrical array superstructure, plastic hinge bending deformation produces negative Poisson's ratio effect.

4. The columnar thin-walled structure negative Poisson's ratio metamaterial of claim 3, wherein, The base material of the columnar thin-walled structure negative Poisson's ratio metamaterial is a polymer, and a 3D printing integrated manufacturing technology is adopted.

5. The design method of column thin-walled structure negative Poisson's ratio metamaterial according to any one of claims 1-4, characterized in that, The method comprises the following steps: S1, designing a model; S11, using three-dimensional modeling software, establish a radius of , height of cylinder, by software delete cylinder top and bottom surface and bottom surface, get a scroll surface, the entire scroll surface along the tangential direction will be divided into , and is an integer, along the axial direction will be divided into , and is an integer; S12, offsetting the roll surface in step S11 by an offset amount of to obtain a cylindrical pipe-shaped torus with a thickness of , selecting a cross-shaped ABCEMHGFD on the outer surface of the torus, and a corresponding cross-shaped A'B'C'D'E'M'H'G'F'D' on the inner surface, connecting the center point M on the outer surface of the torus to the four vertices ACFH of the cross-shaped pattern in sequence to form a preset crease, as an initial cell matrix, and moving the inner and outer center points inward along the radial direction by a distance of , where , , and setting the cylindrical coordinates of the center point of the cross-shaped pattern as , determining the position coordinates of M, and the original cylindrical coordinates of the remaining eight points as: ， ， ， ， ， ， ， ； S13, moving BEGD radially outward by a distance After the above eight-point coordinates ABCEHGFD become , , , , , , , ; , , The relationship satisfies: wherein , , , , , , satisfies; ， ， ， ， ， ， ， ， ； S14, sequentially connecting the center point M' of the inner surface of the circular ring cylinder to the four vertices A'C'F'H' of the field-shaped grid to preset the creasing, which The coordinates are B'E'G'D' is moved outward along the radial direction by a distance of Then A'B'C'D'E'H'G'F'D' is moved inward along the radial direction by a distance of The eight-point coordinates of A'B'C'D'E'H'G'F'D' above become , , , , , , , , obtaining a three-dimensional reconstructed paper-cut cell model; S2, periodically repeating the two inner and outer field patterns after coordinate transformation in step S1 on the inner and outer column shaft rolling surfaces to obtain a columnar thin-walled structure negative Poisson's ratio model based on a paper cutting cell mode; S3, selecting different 3D printing raw materials; inputting a suitable file format into a printing software, setting a printing process according to the stick flow characteristics of different printing raw materials, not adding any support material in the printing process; slicing the model, forming a printing path, establishing the model, and uploading the model to a 3D printer; supporting-free 3D printing integral molding to obtain a columnar thin-walled structure negative Poisson's ratio metamaterial printing product based on a paper cutting cell mode.

6. The method of claim 5, wherein the negative Poisson's ratio metamaterial is a columnar thin-walled structure. In step S1, a Maxon Cinema 4D three-dimensional modeling software is used for modeling, and a cylindrical pipe-shaped torus is obtained through extrusion offsetting of the Maxon Cinema 4D extrusion tool.

7. The method of claim 6, wherein the negative Poisson's ratio metamaterial is a columnar thin-walled structure. In step S1, the three-dimensional reconstruction paper cutting cell model is constructed based on a paper cutting cell mode.

8. The method of claim 7, wherein the negative Poisson's ratio metamaterial is a columnar thin-walled structure. Cylinder radius in step S1 Value is 100, Value is 280, annular cylinder thickness Value is 5, Value is 30, Value is 12, Set value is 177.617°, Value is 76.587, Value is 120, and the reconstruction of the paper-cut cell entity is established on this basis to obtain the best structural deformation characteristics.

9. The method of claim 8, wherein the negative Poisson's ratio metamaterial is a columnar thin-walled structure. The 3D printing raw material in step S3 can be a thermoplastic polyurethane of elastomer type, a silicone rubber of rubber type, and one of polylactic acid and polycaprolactone of plastic type, which is adapted to the structural design and adjustment. , polylactic acid, polycaprolactone.

10. The method of claim 9, wherein the negative Poisson's ratio metamaterial is a columnar thin-walled structure. In step S3, when the three-dimensional negative Poisson's ratio structure is manufactured by the 3D printing technology, all support options are removed, and a good printing shape is maintained in the process of layer-by-layer accumulation.

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