CN116696971A - Self-similar layered negative poisson ratio cell and honeycomb structure thereof - Google Patents
Self-similar layered negative poisson ratio cell and honeycomb structure thereof Download PDFInfo
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- CN116696971A CN116696971A CN202310887660.5A CN202310887660A CN116696971A CN 116696971 A CN116696971 A CN 116696971A CN 202310887660 A CN202310887660 A CN 202310887660A CN 116696971 A CN116696971 A CN 116696971A
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- 210000004027 cell Anatomy 0.000 claims abstract description 38
- 210000002421 cell wall Anatomy 0.000 claims abstract description 13
- 210000003041 ligament Anatomy 0.000 claims description 17
- 238000000034 method Methods 0.000 claims description 9
- 230000000737 periodic effect Effects 0.000 claims description 8
- 238000004904 shortening Methods 0.000 claims description 3
- 238000010521 absorption reaction Methods 0.000 abstract description 10
- 230000000694 effects Effects 0.000 abstract description 6
- 241000264877 Hippospongia communis Species 0.000 description 37
- 238000010586 diagram Methods 0.000 description 7
- 238000004519 manufacturing process Methods 0.000 description 4
- 230000001413 cellular effect Effects 0.000 description 3
- 238000010008 shearing Methods 0.000 description 3
- 230000004048 modification Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 238000010146 3D printing Methods 0.000 description 1
- 240000004282 Grewia occidentalis Species 0.000 description 1
- 230000001154 acute effect Effects 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 210000003850 cellular structure Anatomy 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 230000006835 compression Effects 0.000 description 1
- 238000007906 compression Methods 0.000 description 1
- 238000000280 densification Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 230000001771 impaired effect Effects 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 238000007373 indentation Methods 0.000 description 1
- 238000005457 optimization Methods 0.000 description 1
- 238000002360 preparation method Methods 0.000 description 1
- 230000008569 process Effects 0.000 description 1
Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F7/00—Vibration-dampers; Shock-absorbers
- F16F7/12—Vibration-dampers; Shock-absorbers using plastic deformation of members
- F16F7/121—Vibration-dampers; Shock-absorbers using plastic deformation of members the members having a cellular, e.g. honeycomb, structure
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F7/00—Vibration-dampers; Shock-absorbers
- F16F7/12—Vibration-dampers; Shock-absorbers using plastic deformation of members
- F16F7/128—Vibration-dampers; Shock-absorbers using plastic deformation of members characterised by the members, e.g. a flat strap, yielding through stretching, pulling apart
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- 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 application belongs to the technical field of mechanical metamaterials, and particularly relates to a self-similar layered negative poisson ratio cell and a honeycomb structure thereof. According to the self-similar layered negative poisson ratio structure, on the basis of a traditional star structure, the similar star structure is used for replacing the corner points of the traditional structure, when the structure is impacted at a low speed, the self-similar star structure is formed among adjacent single cells firstly because of a unique configuration, after all the self-similar star structures are formed, the cell walls of the single cells can be contacted with each other to generate deformation, and the self-similar layered negative poisson ratio structure has more excellent energy absorption capacity and higher platform stress while maintaining the negative poisson ratio effect.
Description
Technical Field
The application belongs to the technical field of mechanical metamaterials, and particularly relates to a self-similar layered negative poisson ratio cell and a honeycomb structure thereof.
Background
Honeycomb structures find wide application in many engineering fields such as aerospace, automotive, subway and body protection. As a typical lightweight metamaterial, a negative poisson ratio honeycomb is attracting attention because of its excellent properties such as enhanced shear modulus, resistance to indentation, high breaking strength, strong impact resistance, and excellent energy absorbing ability.
The negative poisson ratio honeycomb configuration is mostly derived from traditional honeycomb structures such as hexagons, squares, round honeycombs and the like, so that common negative poisson ratio honeycomb configurations have concave hexagonal structures, star structures, chiral structures and the like. After many years of development, the negative poisson ratio honeycomb has a plurality of novel structural forms, and a large number of innovative negative poisson ratio honeycomb structures are developed through various methods such as combination, layered design, gradient design and configuration optimization on typical structures, so that the application prospect of the negative poisson ratio structure is greatly expanded.
However, as a lightweight metamaterial, although the negative poisson ratio structure has good mechanical properties, the structural characteristics of high porosity inevitably impair the bearing capacity of the structure. It is therefore a goal to have a honeycomb structure that maintains the negative poisson's ratio effect while having good plateau stress and energy absorption properties.
Patent 2020111041871 discloses a negative poisson ratio structure body based on a flexible hinge, on the basis of a classical star-shaped honeycomb, the intersection points of adjacent structural units are connected through connecting rods, the flexible hinge is arranged at a sharp angular position inside the structure, stress concentration at the acute angle is reduced, a means for adjusting parameters of the flexible hinge to change the integral rigidity of the structure is added, and the problem of interference of two rods correspondingly connected with the flexible hinge after deformation is solved. But the flexible hinge is adopted to reduce the stress concentration problem of the structure, and the difficulty is high in the preparation process of the structure. Patent 2021111530105 discloses a star-triangle negative poisson ratio structure with self-adjusting thickness gradient, which combines a star honeycomb structure and a triangle structure, adopts self-adjusting thickness gradient design, and can divide the deformation process into two main deformation stages when in-plane compression, wherein a stress-strain curve has two platform stages, and the energy absorption capacity is remarkably improved. The self-adjusting thickness gradient design of the patent enhances the structural performance, but also increases the manufacturing difficulty, and the structural deformation still has obvious shearing band phenomenon, so that the self-adjusting thickness gradient design is not uniform and stable enough.
Disclosure of Invention
In order to solve the above problems, a self-similar layered negative poisson ratio cell and a honeycomb structure thereof are provided, which are obtained by adopting a self-similar structure to perform layered design based on a traditional star-shaped honeycomb structure. When the novel structure is subjected to impact load, the novel structure can maintain the negative poisson's ratio effect and has more excellent energy absorption capacity and higher platform stress, so that the practicability of the negative poisson's ratio structure is further enhanced, a novel thought is provided for later structural design work, and the problems in the prior art are solved.
The application provides one of the following technical schemes:
a self-similar layered negative poisson ratio cell, comprising a self-similar star structure and transverse ligaments; the self-similar star-shaped structure comprises four first concave arrows which are distributed along the circumferential direction, and each first concave arrow is obtained by respectively shortening two inclined cell walls of a second concave arrow of a cell of the traditional star-shaped honeycomb structure at a node and concave to form an inner arrow;
each inclined cell wall of the second concave arrow has the length of l 0 The method comprises the steps of carrying out a first treatment on the surface of the The included angles between the second concave arrow and the horizontal and vertical directions are theta 0 ；
The length of each inclined cell wall of the first concave arrow is l; the wall length of each inner arrow is l 1 The method comprises the steps of carrying out a first treatment on the surface of the The included angle between the first concave arrow and the horizontal and vertical directions and the included angle between the inner arrow and the horizontal and vertical directions are all theta 1 ；
θ 0 ＝θ 1 ＝θ；
The transverse ligaments comprise two symmetrical left and right sides of the self-similar star-shaped structure, and one end of each transverse ligament is connected with a connecting point of the adjacent first concave arrow;
wherein l 0 、l、l 1 The relation with the transverse ligament length h and theta is as follows:
l＝l 0 (1-2β+βtanθ)。
further, θ and β satisfy the following relation:
further, the conventional star-shaped honeycomb structure cell comprises a quadrangle star-shaped structure, wherein the quadrangle star-shaped structure comprises four second concave arrows which are circumferentially arranged, and transverse ligaments are connected at connection points of adjacent second concave arrows. On the basis, the self-similar star-shaped structure is obtained by replacing the self-similar star-shaped structure at the corner points of the four-corner star-shaped structure and reserving two transverse ligaments in the transverse direction.
Further, the inner arrow comprises a first inner arrow positioned at the arrow end of the first concave arrow and two symmetrical second inner arrows positioned at the free end of the first concave arrow; the four first concave arrows are sequentially connected with each other along the circumferential direction through the second concave arrows.
The application provides a second technical scheme as follows:
a self-similar layered negative poisson ratio honeycomb structure formed by the above-described self-similar layered negative poisson ratio cell arrangement combination.
Further, the self-similar layered negative poisson ratio honeycomb structure is formed by transversely connecting self-similar layered negative poisson ratio cells to form a plurality of periodic units, and longitudinally arranging a plurality of rows of the periodic units.
Further, each row of the plurality of periodic units is connected via a node of the first inner arrow on the first concave arrow.
Further, the transverse ligament, the first concave arrow, the second concave arrow and the cell wall thickness of the inner arrow are the same, and are all t.
The application has the beneficial effects that:
the self-similar layered negative poisson ratio structure has the following remarkable advantages in energy absorption characteristic:
(1) When the application is acted by impact load, the deformation is uniform, consistent and stable, and the phenomenon of V-shaped shearing deformation zone is greatly weakened.
(2) Compared with the traditional star-shaped honeycomb, the novel structure has higher specific energy absorption and higher strength when being impacted, and the platform stress is larger when the novel structure is impacted.
(3) Compared with the existing negative poisson ratio structure body based on the flexible hinge, the structure manufacturing process is simpler, the structure can be manufactured conveniently and rapidly by using a 3D printing technology, the production cost is lower, and the manufacturing efficiency is higher.
The self-similar layered negative poisson ratio structure is characterized in that the folded corner part of the star-shaped honeycomb is replaced by the self-similar star-shaped structure, when the novel structure is subjected to impact load, the self-similar star-shaped structure is formed between the adjacent structures firstly because of the unique configuration, and the structure is not crushed after all the self-similar substructures are formed. Compared with the traditional star-shaped honeycomb, the structure of the application can enter densification later, so that the application has stronger energy absorption capacity and higher platform stress while maintaining the negative poisson ratio effect.
Drawings
The accompanying drawings, which are included to provide a further understanding of the application and are incorporated in and constitute a part of this specification, illustrate embodiments of the application and together with the description serve to explain the application and do not constitute a limitation on the application. In the drawings:
FIG. 1 is a schematic diagram of a self-similar hierarchical negative poisson's ratio (VSH) cell and a conventional star-shaped cellular (SSH) cell according to the present application;
FIG. 2 is a schematic diagram of a self-similar layered negative Poisson's ratio structure (VSH) of the present application constructed from a conventional star-cell (SSH);
FIG. 3 is a stress-strain curve comparison of a conventional star-shaped honeycomb (SSH) with a negative Poisson's ratio structure (VSH) of the present application when subjected to an impact load;
FIG. 4 is a schematic diagram of the deformation of a conventional star-shaped honeycomb (SSH) and the self-similar layered negative Poisson's ratio structure (VSH) of the present application when subjected to an impact load;
FIG. 5 is a graph of the energy absorption capacity and dynamic Poisson's ratio of the self-similar layered negative Poisson's ratio structure (VSH) of the present application versus a conventional star cell (SSH) when subjected to an impact load;
fig. 6 is a color schematic diagram corresponding to fig. 2.
Wherein (a) in fig. 1 is a cell configuration of a conventional star-shaped honeycomb (SSH), and (b) in fig. 1 is a structural configuration of a cell of a self-similar layered negative poisson ratio structure (VSH) of the present application;
fig. 2 (a) shows a conventional star-shaped cellular (SSH) and cell configuration, and fig. 1 (b) shows a self-similar layered negative poisson's ratio structure (VSH) and cell configuration according to the present application;
FIG. 4 (a) is a schematic diagram showing deformation of a conventional star-shaped honeycomb (SSH) when subjected to impact load; fig. 4 (b) is a schematic diagram showing the deformation of the self-similar layered negative poisson's ratio structure (VSH) according to the present application when subjected to an impact load.
Reference numerals: 1 transverse ligament, 2 first concave arrow, 3 second concave arrow, 4 first concave arrow, 5 second concave arrow.
Detailed Description
The application is further illustrated below in connection with specific examples, to which the scope of protection of the application is not limited.
In the description of the present application, it should be understood that the terms "upper," "lower," "front," "rear," "left," "right," "top," "bottom," "inner," "outer," and the like indicate or are based on the orientation or positional relationship shown in the drawings, merely to facilitate description of the present application and to simplify the description, and do not indicate or imply that the devices 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 application.
Referring to fig. 1-2 and 6, fig. 1 (a) and (b) illustrate a self-similar hierarchical negative poisson's ratio structure (VSH) cell and a conventional star cell (SSH) cell of the present application; fig. 2 (fig. 6) shows (a) and (b) the self-similar hierarchical negative poisson's ratio structure (VSH) of the present application and the structure constructed from conventional star-shaped cells (SSH).
Wherein l 0 The second concave arrow for a conventional star-shaped cellular SSH cell is inclined in cell wall length; h is the transverse ligament length; l (L) 1 The first concave arrow for the self-similar layered negative poisson's ratio structure (VSH) cell of the present application is inclined by the cell wall length.
An embodiment of the present application provides a self-similar layered negative poisson's ratio cell, which includes a self-similar star structure and a transverse ligament 1; the self-similar star-shaped structure comprises four first concave arrows 2 which are distributed along the circumferential direction, wherein each first concave arrow is obtained by respectively shortening two inclined cell walls of a second concave arrow 3 of a cell of the traditional star-shaped honeycomb structure and concave at a node to form an inner arrow.
The length of each inclined cell wall of the second concave arrow 3 is l 0 The method comprises the steps of carrying out a first treatment on the surface of the The included angles between the second concave arrow and the horizontal and vertical directions are theta 0 The method comprises the steps of carrying out a first treatment on the surface of the The length of each inclined cell wall of the first concave arrow 2 is l; the wall length of each inner arrow is l 1 The method comprises the steps of carrying out a first treatment on the surface of the The included angle between the first concave arrow 2 and the horizontal and vertical directions and the included angle between the inner arrow and the horizontal and vertical directions are all theta 1 ；θ 0 ＝θ 1 ＝θ。
The transverse ligaments 1 comprise two symmetrical left and right sides of the self-similar star-shaped structure, and one end of each transverse ligament is connected with the connecting point of the adjacent first concave arrow 2;
wherein l 0 、l、l 1 The relation with the transverse ligament length h and theta is as follows:
l＝l 0 (1-2β+βtanθ)。
θ and β satisfy the following relation:
the inner arrow comprises a first inner arrow 4 positioned at the arrow end of the first concave arrow 2 and two symmetrical second inner arrows 5 positioned at the free end of the first concave arrow; the four first concave arrows are sequentially connected with each other along the circumferential direction through the second concave arrows.
Another embodiment of the present application provides a self-similar layered negative poisson ratio cellular structure, which is formed by transversely connecting the self-similar layered negative poisson ratio cells to form a plurality of periodic units, and longitudinally arranging a plurality of rows of the periodic units. Each row of a plurality of periodic cells is connected via a node of a first inner arrow 4 on the first concave arrow 2.
In order to illustrate that the self-similar layered negative poisson ratio honeycomb structure of the application has better negative poisson ratio effect, deformation stability and platform stress compared with the traditional star honeycomb, the stress-strain, deformation mode and poisson ratio when the self-similar layered negative poisson ratio honeycomb structure is subjected to impact load are studied and compared with the traditional star honeycomb.
Referring to fig. 3, there is shown a graphical comparison of nominal stress-strain curves for a conventional star-shaped honeycomb (SSH) and the novel structure of the present application upon low-speed impact. It can be seen that the nominal stress of the self-similar layered negative poisson ratio honeycomb structure of the present application is higher, and thus the platform stress is also higher.
Referring to fig. 4, a deformation mode diagram of the new structure of the present application and a conventional star-shaped honeycomb (SSH) at low speed impact is shown. It can be seen that the self-similar layered negative poisson ratio honeycomb structure only forms weak V-shaped shearing deformation bands which are symmetrical up and down at the initial stage of deformation, and the integral deformation is more stable. Whereas cells of conventional star-shaped cells (SSH) have impaired stability due to global deformation caused by the phenomenon of inter-cell contact occurring in a short time.
Referring to fig. 5, there is shown a graph comparing the energy absorption characteristics and dynamic poisson's ratio of the new structure of the present application and a conventional star-shaped honeycomb (SSH). It can be seen that the self-similar layered negative poisson ratio honeycomb of the present application has a high impact velocity: the negative Poisson's ratio effect can be maintained at impact speeds of 2m/s, 25m/s and 100m/s, and the unit mass energy absorption is higher.
The above description is only an example of the present application, and the scope of the present application is not limited to the specific examples, but is defined by the claims of the present application. Various modifications and variations of the present application will be apparent to those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the technical idea and principle of the present application should be included in the protection scope of the present application.
Claims (6)
1. A self-similar layered negative poisson ratio cell, comprising a self-similar star structure and a transverse ligament; the self-similar star-shaped structure comprises four first concave arrows which are distributed along the circumferential direction, and each first concave arrow is obtained by respectively shortening two inclined cell walls of a second concave arrow of a cell of the traditional star-shaped honeycomb structure at a node and concave to form an inner arrow;
each inclined cell wall of the second concave arrow has the length of l 0 The method comprises the steps of carrying out a first treatment on the surface of the The included angles between the second concave arrow and the horizontal and vertical directions are theta 0 ；
The length of each inclined cell wall of the first concave arrow is l; the wall length of each inner arrow is l 1 The method comprises the steps of carrying out a first treatment on the surface of the The included angle between the first concave arrow and the horizontal and vertical directions and the included angle between the inner arrow and the horizontal and vertical directions are all theta 1 ；
θ 0 ＝θ 1 ＝θ；
The transverse ligaments comprise two symmetrical left and right sides of the self-similar star-shaped structure, and one end of each transverse ligament is connected with a connecting point of the adjacent first concave arrow;
wherein l 0 、l、l 1 The relation with the transverse ligament length h and theta is as follows:
l＝l 0 (1-2β+βtanθ)。
2. the self-similar hierarchical negative poisson ratio cell according to claim 1, wherein θ and β satisfy the following relationship:
3. the self-similar hierarchical negative poisson ratio cell according to claim 1, wherein the inner arrow comprises a first inner arrow at the arrow end of the first concave arrow and two symmetrical second inner arrows at the free end of the first concave arrow; the four first concave arrows are sequentially connected with each other along the circumferential direction through the second concave arrows.
4. A self-similar layered negative poisson ratio cell structure according to any one of claims 1 to 3, in combination with a self-similar layered negative poisson ratio cell arrangement.
5. The self-similar layered negative poisson ratio honeycomb structure according to claim 4, wherein the self-similar layered negative poisson ratio honeycomb structure is formed by longitudinally arranging a plurality of rows of periodic units formed by transversely connecting the self-similar layered negative poisson ratio cells.
6. The self-similar hierarchical negative poisson's ratio honeycomb structure according to claim 5 wherein each row of the plurality of periodic cells is connected via a first inner arrow node on the first concave arrow.
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| CN202310887660.5A CN116696971A (en) | 2023-07-19 | 2023-07-19 | Self-similar layered negative poisson ratio cell and honeycomb structure thereof |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN117231825A (en) * | 2023-11-13 | 2023-12-15 | 上海交通大学三亚崖州湾深海科技研究院 | Underwater submersible vehicle flange with gap metamaterial horizontally |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117231825A (en) * | 2023-11-13 | 2023-12-15 | 上海交通大学三亚崖州湾深海科技研究院 | Underwater submersible vehicle flange with gap metamaterial horizontally |
| CN117231825B (en) * | 2023-11-13 | 2024-02-13 | 上海交通大学三亚崖州湾深海科技研究院 | Underwater submersible vehicle flange with gap metamaterial horizontally |
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