CN114741811A - Variable-rigidity three-dimensional concave negative Poisson ratio cell element and design method thereof - Google Patents
Variable-rigidity three-dimensional concave negative Poisson ratio cell element and design method thereof Download PDFInfo
- Publication number
- CN114741811A CN114741811A CN202210438257.XA CN202210438257A CN114741811A CN 114741811 A CN114741811 A CN 114741811A CN 202210438257 A CN202210438257 A CN 202210438257A CN 114741811 A CN114741811 A CN 114741811A
- Authority
- CN
- China
- Prior art keywords
- dimensional
- concave
- negative poisson
- poisson ratio
- variable
- 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
Images
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2111/00—Details relating to CAD techniques
- G06F2111/10—Numerical modelling
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
Abstract
The invention discloses a variable-rigidity three-dimensional concave negative Poisson ratio cellular element and a design method thereof. The invention can design and prepare the three-dimensional metal negative Poisson ratio metamaterial with larger negative Poisson ratio effect and larger effective strain. The negative Poisson ratio metamaterial with both strength and negative Poisson ratio effect can promote the popularization and application of the negative Poisson ratio metamaterial in the engineering and national defense fields of energy absorption, impact resistance, earthquake resistance and the like.
Description
Technical Field
The invention designs a variable-rigidity three-dimensional concave negative Poisson ratio cell element and provides a design method of a negative Poisson ratio structure, belonging to the field of new materials and new structures.
Background
The metamaterial is a new material appearing in the 21 st century, and is an artificial material with extraordinary physical properties which are not possessed by natural materials, such as an optical metamaterial, an acoustic metamaterial, a thermodynamic metamaterial, a mechanical metamaterial and the like. The negative poisson ratio metamaterial is a typical mechanical metamaterial with negative mechanical parameters. Negative poisson's ratio materials often exhibit counterintuitive deformation behavior during deformation as compared to conventional materials that expand (contract) perpendicular to the load under uniaxial pressure (tension), while negative poisson's ratio metamaterials contract (expand) in the transverse direction.
From the first research of the negative poisson ratio material to three decades ago, the negative poisson ratio material has made remarkable progress at home and abroad in the aspects of theoretical research, finite element simulation, experimental research and the like, but still has many problems to be further researched. On one hand, most of the negative Poisson ratio materials are mainly researched on the basis of a two-dimensional structure, most of the negative Poisson ratio structures based on three-dimensional use rubber materials as base materials, and the bearing capacity and the impact resistance are limited; on the other hand, most of the existing three-dimensional negative poisson ratio materials only show the negative poisson ratio characteristic under small strain, and the geometric shapes of the most of the three-dimensional negative poisson ratio materials are designed in advance, so that the mechanical properties of the materials are usually difficult to adjust, and the application of the negative poisson ratio materials and structures is greatly limited. Therefore, it is a significant work to develop research and development applications for negative poisson's ratio three-dimensional structures.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a variable-rigidity three-dimensional concave negative Poisson ratio cell element and a design method thereof.
The technical scheme adopted by the invention is as follows: a variable-rigidity three-dimensional concave negative Poisson ratio cell element is formed by rotating and translating three two-dimensional concave hexagonal honeycombs with the same size;
the length of the two-dimensional concave hexagonal honeycomb is l, and the height of the two-dimensional concave hexagonal honeycomb is lh, the internal concave angle is theta, the thickness is t, and according to the geometric feasibility requirement, the dimensional parameters need to satisfy the following relation:
the length of a connecting line between the intersection point of two concave ribs of the variable-stiffness three-dimensional concave negative Poisson's ratio cell and the midpoint of an upper shaft and a lower shaft is recorded as an inner diameter r, and is used as an important parameter for describing a two-dimensional concave hexagonal honeycomb, and the relationship between the inner diameter r and other structural parameters is as follows:
the overall length s of the structure of the variable-rigidity three-dimensional concave negative Poisson ratio cell element is the length of a two-dimensional concave hexagonal honeycomb plus the length of a connecting rod piece among partial cell elements, and is calculated by the following formula: s-2 r (cos θ + 1);
the length calculation and the variation range of the side concave rib x of the variable-rigidity three-dimensional concave negative Poisson ratio cell element meet the following requirements:
preferably, the variation range of the length l and the height h of the two-dimensional concave hexagonal honeycomb satisfies the following conditions:
preferably, the variation range of the inner diameter r and the height h of the variable-stiffness three-dimensional concave negative poisson ratio cell element meets the following requirements:
the design method of the variable-stiffness three-dimensional concave negative Poisson ratio cell element comprises the following steps:
1) determining the relation between the rigidity of the three-dimensional structure, the energy absorption effect and the design size according to experiments and simulation researches;
2) determining the size parameters of the two-dimensional concave hexagonal honeycomb according to the specific stress load to be borne;
3) completing the design of a three-dimensional structure through translation and rotation;
4) the overall design of the negative Poisson ratio structure is completed, and a three-dimensional lattice structure is formed through different arrays and connection modes;
5) the designed metamaterial structure is manufactured by adopting a 3D printing technology, and the structure can be prepared by using materials such as metal and the like.
The invention relates to a three-dimensional concave negative Poisson ratio cell element which can be realized by 3D printing, which can realize the aims of large deformation and high energy absorption while ensuring the structural strength and rigidity, and brings more application scenes for a negative Poisson ratio structure.
Has the advantages that: aiming at the problems to be solved urgently by the negative Poisson's ratio structure and the development and application of materials, the invention has obvious advantages from the following three aspects: (1) the metal material can be used for replacing general rubber and resin materials, and the strength and the rigidity of the structure are ensured while the structure has negative Poisson ratio performance; (2) the three-dimensional structure is expanded by using a classic concave honeycomb structure, the compression deformation of the structure is similar to the deformation of the concave honeycomb structure, the structure achieves the effects of large deformation and high energy absorption, and the mechanical property of the whole structure can be regulated and controlled by adjusting the parameters of the concave honeycomb; (3) the designed three-dimensional concave honeycomb structure has three-axis response when a single shaft is pressed, and the whole structure can contract and deform, so that the energy absorption effect of the whole structure is improved.
The invention can design and prepare the three-dimensional metal negative Poisson ratio metamaterial with larger negative Poisson ratio effect and larger effective strain. The negative Poisson ratio metamaterial with both strength and negative Poisson ratio effect can promote the popularization and application of the negative Poisson ratio metamaterial in the engineering and national defense fields of energy absorption, impact resistance, earthquake resistance and the like.
Drawings
FIG. 1 is a schematic diagram of a design of a variable-stiffness three-dimensional concave structure cell;
FIG. 2 is a schematic diagram of a design of a variable-stiffness three-dimensional concave structure cell element and a two-way connecting rod;
FIG. 3 is a schematic diagram of the design dimensions of the recessed hexagonal cell used;
fig. 4-7 are schematic diagrams of the three-dimensional lattice structure formed by different arrays and connections of the three-dimensional recess structure cells with variable stiffness (2 × 2 cells are taken as an example for more obvious details).
Detailed Description
The invention will be further described with reference to the following detailed description and the accompanying drawings:
as shown in fig. 1-7, a variable stiffness three-dimensional concave negative poisson's ratio cell is formed by rotating and translating three two-dimensional concave hexagonal honeycombs with the same size;
the length of the two-dimensional concave hexagonal honeycomb is l, the height of the two-dimensional concave hexagonal honeycomb is h, the concave angle of the two-dimensional concave hexagonal honeycomb is theta, the thickness of the two-dimensional concave hexagonal honeycomb is t, and according to the requirement of geometric feasibility, the dimensional parameters need to satisfy the following relations:
the length of a connecting line between the intersection point of two concave ribs of the variable-stiffness three-dimensional concave negative Poisson ratio cell element and the midpoint of an upper shaft and a lower shaft is recorded as an inner diameter r, and the connecting line is used as an important parameter for describing the two-dimensional concave hexagonal honeycomb and has the following relation with other structural parameters:
the overall length s of the structure of the variable-rigidity three-dimensional concave negative Poisson ratio cell element is the length of a two-dimensional concave hexagonal honeycomb plus the length of a connecting rod piece among partial cell elements, and is calculated by the following formula: s-2 r (cos θ + 1);
the length calculation and the variation range of the side concave rib x of the variable-stiffness three-dimensional concave negative Poisson's ratio cell element meet the following requirements:
the variation range of the length l and the height h of the two-dimensional concave hexagonal honeycomb meets the following requirements:
the variation range of the inner diameter r and the height h of the variable-rigidity three-dimensional concave negative Poisson ratio cell element meets the following requirements:
the design method of the variable-stiffness three-dimensional concave negative Poisson ratio cell element comprises the following steps:
1) determining the relation between the rigidity of the three-dimensional structure, the energy absorption effect and the design size according to experiments and simulation researches;
2) determining the size parameters of the two-dimensional concave hexagonal honeycomb according to the specific stress load to be borne;
3) completing the design of a three-dimensional structure through translation and rotation;
4) the overall design of the negative Poisson ratio structure is completed, and a three-dimensional lattice structure is formed through different arrays and connection modes;
5) the designed metamaterial structure is manufactured by adopting a 3D printing technology, and the structure can be prepared by using materials such as metal and the like.
It should be noted that, for those skilled in the art, without departing from the principle of the present invention, several improvements and modifications can be made, and these improvements and modifications should also be construed as the protection scope of the present invention. All the components not specified in the present embodiment can be realized by the prior art.
Claims (4)
1. A variable-rigidity three-dimensional concave negative Poisson ratio cell element is characterized in that: the negative Poisson ratio cell element is formed by rotating and translating three two-dimensional concave hexagonal honeycombs with the same size;
in the two dimensionsThe length of the concave hexagonal honeycomb is l, the height of the concave hexagonal honeycomb is h, the internal concave angle is theta, the thickness of the concave hexagonal honeycomb is t, and according to the geometric feasibility requirement, the following relation needs to be satisfied by the size parameters:
the length of a connecting line between the intersection point of two concave ribs of the variable-stiffness three-dimensional concave negative Poisson ratio cell element and the midpoint of an upper shaft and a lower shaft is recorded as an inner diameter r, and the connecting line is used as an important parameter for describing the two-dimensional concave hexagonal honeycomb and has the following relation with other structural parameters:
the overall length s of the structure of the variable-rigidity three-dimensional concave negative Poisson ratio cell element is the length of a two-dimensional concave hexagonal honeycomb plus the length of a connecting rod piece among partial cell elements, and is calculated by the following formula: s-2 r (cos θ + 1);
the length calculation and the variation range of the side concave rib x of the variable-rigidity three-dimensional concave negative Poisson ratio cell element meet the following requirements:
2. the variable stiffness three dimensional negative concave poisson's ratio cell of claim 1, wherein: the variation range of the length l and the height h of the two-dimensional concave hexagonal honeycomb meets the following requirements:
3. the variable stiffness three dimensional negative concave poisson's ratio cell of claim 1, wherein: the variation range of the inner diameter r and the height h of the variable-rigidity three-dimensional concave negative Poisson ratio cell element meets the following requirements:
4. the method of claim 1, 2 or 3 for designing a variable stiffness three-dimensional concave negative poisson's ratio cell, wherein: the method comprises the following steps:
1) determining the relation between the rigidity of the three-dimensional structure, the energy absorption effect and the design size according to experiments and simulation researches;
2) determining the size parameters of the two-dimensional concave hexagonal honeycomb according to the specific stress load to be borne;
3) completing the design of a three-dimensional structure through translation and rotation;
4) the overall design of the negative Poisson ratio structure is completed, and a three-dimensional lattice structure is formed through different arrays and connection modes;
5) the designed metamaterial structure is manufactured by adopting a 3D printing technology, and the structure is made of a metal material.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210438257.XA CN114741811A (en) | 2022-04-20 | 2022-04-20 | Variable-rigidity three-dimensional concave negative Poisson ratio cell element and design method thereof |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210438257.XA CN114741811A (en) | 2022-04-20 | 2022-04-20 | Variable-rigidity three-dimensional concave negative Poisson ratio cell element and design method thereof |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN114741811A true CN114741811A (en) | 2022-07-12 |
Family
ID=82283110
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202210438257.XA Pending CN114741811A (en) | 2022-04-20 | 2022-04-20 | Variable-rigidity three-dimensional concave negative Poisson ratio cell element and design method thereof |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN114741811A (en) |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115405644A (en) * | 2022-08-24 | 2022-11-29 | 广州大学 | Negative Poisson's ratio structure based on extremely small curved surface and design method thereof |
| CN116168784A (en) * | 2023-02-28 | 2023-05-26 | 哈尔滨工业大学 | Negative poisson ratio structural design method for self-similar hierarchical assembly |
| CN116771031A (en) * | 2023-06-20 | 2023-09-19 | 燕山大学 | Negative poisson ratio light partition wall and preparation method thereof |
| 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 |
-
2022
- 2022-04-20 CN CN202210438257.XA patent/CN114741811A/en active Pending
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115405644A (en) * | 2022-08-24 | 2022-11-29 | 广州大学 | Negative Poisson's ratio structure based on extremely small curved surface and design method thereof |
| CN115405644B (en) * | 2022-08-24 | 2023-07-18 | 广州大学 | Negative poisson ratio structure based on minimum curved surface and design method thereof |
| CN116168784A (en) * | 2023-02-28 | 2023-05-26 | 哈尔滨工业大学 | Negative poisson ratio structural design method for self-similar hierarchical assembly |
| CN116168784B (en) * | 2023-02-28 | 2023-08-29 | 哈尔滨工业大学 | Negative poisson ratio structural design method for self-similar hierarchical assembly |
| CN116771031A (en) * | 2023-06-20 | 2023-09-19 | 燕山大学 | Negative poisson ratio light partition wall and preparation method thereof |
| CN116771031B (en) * | 2023-06-20 | 2024-01-05 | 燕山大学 | Negative poisson ratio light partition wall and preparation method thereof |
| 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 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN114741811A (en) | Variable-rigidity three-dimensional concave negative Poisson ratio cell element and design method thereof | |
| CN105799231B (en) | The core filled composite material of opposite hemispherical Shell scapus born of the same parents' structure | |
| CN106960096A (en) | Three-dimensional negative stiffness honeycomb and preparation method thereof | |
| WO2021120568A1 (en) | Negative poisson's ratio structure having three-dimensional characteristics and combination method therefor | |
| CN111895015B (en) | Variant gradient lattice structure based on additive manufacturing | |
| CN114038518B (en) | Reinforced negative-rigidity metamaterial structure | |
| CN113833792B (en) | Star-triangle negative Poisson ratio structure capable of self-adjusting thickness gradient | |
| CN113153946A (en) | Buffering energy-absorbing vibration-damping negative Poisson ratio structure formed by unit cell cross stacking | |
| CN112966353A (en) | Metal stainless steel gradient honeycomb core and manufacturing method thereof | |
| CN112664601A (en) | Circular arc curve honeycomb core structure with negative Poisson ratio characteristic | |
| CN112658256A (en) | Three-dimensional enhanced star structure | |
| CN115819974B (en) | Composite material structural system with customizable mechanical properties and preparation method | |
| CN109944891B (en) | Buffer with negative Poisson ratio structure | |
| Liu et al. | Honeycomb enhanced self-locked structure for energy absorption | |
| CN114523662B (en) | Three-dimensional metamaterial functional component and manufacturing method thereof | |
| CN110043787A (en) | A kind of round tube and its design method of the variation of axially loaded tube wall | |
| CN214838069U (en) | Buffering energy-absorbing vibration-damping negative Poisson ratio structure formed by unit cell cross stacking | |
| CN113027989B (en) | Zero-rigidity vibration isolator based on mechanism metamaterial | |
| CN113958637A (en) | Concave negative Poisson ratio metamaterial cell and honeycomb structure | |
| CN219734044U (en) | Negative poisson ratio metamaterial structure based on metal rubber | |
| CN114888302B (en) | Press-induced torsion graphene-like lattice structure and 3D printing method thereof | |
| CN114169187A (en) | Design method of isotropic lattice structure | |
| CN217761840U (en) | Two-way auxetic cylindrical shell structure with adjustable rigidity | |
| CN114294364B (en) | Three-dimensional dome-shaped negative stiffness structure and preparation method thereof | |
| CN111255834A (en) | Stretching structure with multiple inner recesses |
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 |