CN114244186B - Piezoelectric energy harvester based on hierarchical negative poisson ratio structure - Google Patents
Piezoelectric energy harvester based on hierarchical negative poisson ratio structure Download PDFInfo
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- CN114244186B CN114244186B CN202111560605.2A CN202111560605A CN114244186B CN 114244186 B CN114244186 B CN 114244186B CN 202111560605 A CN202111560605 A CN 202111560605A CN 114244186 B CN114244186 B CN 114244186B
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- 239000011159 matrix material Substances 0.000 claims abstract description 27
- 239000000758 substrate Substances 0.000 claims abstract description 15
- RKTYLMNFRDHKIL-UHFFFAOYSA-N copper;5,10,15,20-tetraphenylporphyrin-22,24-diide Chemical group [Cu+2].C1=CC(C(=C2C=CC([N-]2)=C(C=2C=CC=CC=2)C=2C=CC(N=2)=C(C=2C=CC=CC=2)C2=CC=C3[N-]2)C=2C=CC=CC=2)=NC1=C3C1=CC=CC=C1 RKTYLMNFRDHKIL-UHFFFAOYSA-N 0.000 claims abstract description 13
- 239000000919 ceramic Substances 0.000 claims abstract description 10
- 239000004593 Epoxy Substances 0.000 claims description 4
- 230000000694 effects Effects 0.000 abstract description 9
- 238000004377 microelectronic Methods 0.000 description 7
- 230000007613 environmental effect Effects 0.000 description 6
- 238000010586 diagram Methods 0.000 description 5
- 239000003822 epoxy resin Substances 0.000 description 5
- 230000033001 locomotion Effects 0.000 description 5
- 229920000647 polyepoxide Polymers 0.000 description 5
- 230000005284 excitation Effects 0.000 description 4
- 230000005484 gravity Effects 0.000 description 4
- 238000000034 method Methods 0.000 description 4
- 238000003306 harvesting Methods 0.000 description 2
- 238000004519 manufacturing process Methods 0.000 description 2
- 241001124569 Lycaenidae Species 0.000 description 1
- 238000010521 absorption reaction Methods 0.000 description 1
- 238000005452 bending Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 239000002131 composite material Substances 0.000 description 1
- 238000013329 compounding Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 230000001419 dependent effect Effects 0.000 description 1
- 238000001514 detection method Methods 0.000 description 1
- 238000009826 distribution Methods 0.000 description 1
- 238000005265 energy consumption Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000003912 environmental pollution Methods 0.000 description 1
- 238000004880 explosion Methods 0.000 description 1
- 239000002803 fossil fuel Substances 0.000 description 1
- 238000010438 heat treatment Methods 0.000 description 1
- 238000003698 laser cutting Methods 0.000 description 1
- 230000007774 longterm Effects 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 238000012544 monitoring process Methods 0.000 description 1
- 230000006798 recombination Effects 0.000 description 1
- 238000005215 recombination Methods 0.000 description 1
- 238000011084 recovery Methods 0.000 description 1
Classifications
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02N—ELECTRIC MACHINES NOT OTHERWISE PROVIDED FOR
- H02N2/00—Electric machines in general using piezoelectric effect, electrostriction or magnetostriction
- H02N2/18—Electric machines in general using piezoelectric effect, electrostriction or magnetostriction producing electrical output from mechanical input, e.g. generators
- H02N2/186—Vibration harvesters
- H02N2/188—Vibration harvesters adapted for resonant operation
Abstract
The application relates to a piezoelectric energy harvester based on a hierarchical negative poisson ratio structure, which comprises an elastic matrix, wherein one end of the elastic matrix is a fixed end, the other end of the elastic matrix is a free end, the structure of the elastic matrix comprises an elastic substrate section and a negative poisson ratio structure section, and piezoelectric ceramics are respectively arranged at two sides of the negative poisson ratio structure section; the negative poisson ratio structure section is formed by periodically arranging a plurality of unit cell structures, each unit cell structure comprises a concave hexagonal structure and six concave tetragonal structures, and the centers of the concave tetragonal structures are respectively positioned at six vertexes of the concave hexagonal structure; the concave hexagonal structure and the concave tetragonal structure are both vertically and laterally symmetrical structures; the elastic substrate section and the negative poisson ratio structural section are connected into a whole or formed integrally. According to the application, a hierarchical negative Poisson ratio structure is introduced into the elastic matrix, so that the negative Poisson ratio effect is more remarkable, the deformation of the energy harvester during vibration is increased on the premise of ensuring the unchanged appearance, the resonant frequency of the energy harvester is reduced, and the output power is improved.
Description
Technical Field
The application relates to the technical field of mechanical vibration energy recovery devices, in particular to a piezoelectric energy harvester based on a hierarchical negative poisson ratio structure.
Background
Micro-actuators such as wireless sensors and micro-electromechanical systems are widely applied to industrial systems for industrial environment monitoring and detection. These microelectronic devices are all dependent on battery power, and most of them are currently powered by conventional batteries, which have the disadvantages of limited energy, frequent replacement, environmental pollution, and short life. The environmental energy capture technology can directly convert mechanical kinetic energy, light energy, heat energy and the like in the environment into energy supply sources of the microelectronic device, so that self-power supply of the microelectronic device is realized. The environmental vibration energy harvesting method based on the positive piezoelectric effect has the advantages of being simple in structure, free of heating, free of electromagnetic interference and the like. The piezoelectric energy harvester is a common implementation device for an environmental vibration energy harvesting method based on the positive piezoelectric effect.
In the prior art, the structure types of the piezoelectric energy harvester mainly comprise a cantilever beam structure, a circular structure, a pull-out structure and the like. The cantilever beam structure is simple in structure and easy to realize, and is the most common structural form of the energy harvester. The precondition that the energy harvester can capture energy is that the resonance frequency of the energy harvester is matched with the frequency of an environmental vibration source, and the resonance frequency of the actual energy harvester is often higher than the frequency of the environmental vibration source (below 200 hz), if the resonance frequency is reduced by increasing the length, the length is overlong and is unfavorable for microminiaturization, if the resonance frequency is reduced by increasing the weight, the vibration source can possibly cause fracture of piezoelectric ceramics under long-term vibration, the service life of the energy harvester is reduced, in addition, the traditional piezoelectric energy harvester has lower output energy density due to smaller deformation during vibration, and can not meet the energy supply requirement of a microelectronic device. Therefore, there is a need for improved structures for energy harvesters that provide self-powering of microelectronic devices with lower resonant frequencies and higher output characteristics.
Disclosure of Invention
Aiming at the defects of the prior art, the application provides a piezoelectric energy harvester based on a hierarchical negative poisson ratio structure, which aims to reduce the resonant frequency of the energy harvester structure and improve the energy capturing level of the energy harvester.
The technical scheme adopted by the application is as follows:
the piezoelectric energy harvester based on the hierarchical negative poisson ratio structure comprises an elastic matrix, wherein one end of the elastic matrix is a fixed end, the other end of the elastic matrix is a free end, the structure of the elastic matrix comprises an elastic substrate section and a negative poisson ratio structure section, and piezoelectric ceramics are respectively arranged on two sides of the negative poisson ratio structure section;
the negative poisson ratio structure section is formed by periodically arranging a plurality of unit cell structures, each unit cell structure comprises a concave hexagonal structure and six concave tetragonal structures, and the centers of the concave tetragonal structures are respectively positioned at six vertexes of the concave hexagonal structure;
the concave hexagonal structure and the concave tetragonal structure are both vertically and horizontally symmetrical structures;
the elastic substrate section and the negative poisson ratio structural section are connected into a whole or formed integrally.
The further technical scheme is as follows:
the concave hexagonal structure is formed by connecting two long sides on the left side and the right side and two short sides on the upper side and the lower side, and the two short sides on each side are connected to form a concave vertex;
the concave quadrangle structure comprises a large concave quadrangle surrounded by eight equal-length side edges and a small concave quadrangle which is formed by the large concave quadrangle and is equidistant inwards and equal to the large concave quadrangle; the connection points of the two adjacent side edges are concave vertexes or convex vertexes, and the concave included angle e between the two adjacent side edges is 120-150 degrees.
The negative poisson ratio structural section is formed by periodically arranging a plurality of unit cell structures in the following arrangement mode:
copying the initial unit cell structures along the horizontal direction at a distance b, namely sharing a long side and concave quadrangle structures at the upper end and the lower end of the long side by two adjacent unit cell structures in the horizontal direction;
the initial unit cell structure is firstly moved (a+c)/2 along the vertical direction, then moved b/2 along the horizontal direction, and then copied along the horizontal direction at a spacing b, namely, two adjacent unit cell structures are arranged in a staggered way b/2 along the vertical direction, and the unit cell structures share a short side and concave quadrangle structures at the left end and the right end of the short side;
wherein a is the length of the long sides of the concave hexagonal structure, the distance between the two long sides is b, the distance between the two concave top points is c, and c is less than a and less than b.
The value range of a is 16mm-24mm; b has a value range of 20mm-30mm; c has a value range of 10mm-14mm;
the value range of the wall thickness d of the concave hexagon is 1mm-3mm;
the value range of the distance f between two opposite concave top points of the small concave quadrangle is 1mm-4mm;
the distance g between the two convex vertexes of the large concave quadrangle is 6mm-10mm.
And T-shaped structures are arranged at the upper end and the lower end of the negative Poisson ratio structure section and at the concave top point of the concave quadrilateral structure positioned at the top point of the middle part of the concave hexagonal structure.
The negative poisson ratio structural section is close to the fixed end, and the elastic substrate section is close to the free end.
An epoxy resin layer is covered between the negative poisson ratio structural section and the piezoelectric ceramic, and the shape of the epoxy resin layer is the same as the outline of the negative poisson ratio structural section.
The piezoelectric energy harvester is arranged along the surface of the rim spoke, the fixed end of the elastic matrix is close to one side of the rotation center of the tire, and the free end of the elastic matrix is provided with a mass block.
The beneficial effects of the application are as follows:
1. the negative poisson ratio structure section in the elastic matrix is formed by compounding the concave hexagonal structure and the concave tetragonal structure, the effect of the negative poisson ratio is more obvious, the level negative poisson ratio structure is introduced into the elastic matrix, the deformation of the energy harvester during vibration is increased on the premise that the appearance is unchanged, the resonant frequency of the energy harvester is reduced, and the output power is improved.
2. Compared with the traditional cantilever beam piezoelectric energy harvester, the piezoelectric energy harvester has lighter weight and large shape change. The cantilever beam is suitable for being mounted on rim spokes, the rigidity of the cantilever beam is increased along with the increase of the rotation frequency through the centrifugal force generated by the rotation motion, and the resonance frequency of the whole structure can be reduced, so that the energy harvester can maintain similar resonance frequency in the rotation excitation in a larger range, the output characteristic of the energy harvester is improved, the problem of narrow working bandwidth of the traditional cantilever beam is solved, the efficiency of the energy harvester is greatly improved, the self-power supply of low-energy-consumption equipment is realized, and the consumption of fossil fuel is reduced.
Drawings
Fig. 1 is a schematic structural view of the present application.
Fig. 2 is a cross-sectional view of the present application.
FIG. 3 is a schematic diagram of the structure of a unit cell of the present application constituting a negative Poisson's ratio structural segment.
FIG. 4 is a schematic diagram of the arrangement of unit cell structures constituting a negative Poisson's ratio structural segment according to the present application.
Fig. 5 is a schematic cross-sectional view of a complete structure of a structural section of the application with negative poisson's ratio.
Fig. 6 is a schematic view of an exploded structure of the present application.
Fig. 7 is a schematic view of a mounting structure according to an embodiment of the present application.
Fig. 8 is a schematic diagram illustrating the working principle of the embodiment of the present application.
Fig. 9 is a graph of output voltage and power for an embodiment of the present application.
In the figure: 1. an elastic matrix; 2. a fixed end; 3. a free end; 4. piezoelectric ceramics; 5. a concave quadrangle structure; 6. a T-shaped structure; 7. an upper and lower epoxy resin layer; 8. a single cell structure; 101. an elastic substrate segment; 102. negative poisson's ratio structural section.
Detailed Description
The following describes specific embodiments of the present application with reference to the drawings.
The piezoelectric energy harvester based on the hierarchical negative poisson ratio structure in this embodiment, as shown in fig. 1 and 2, includes an elastic substrate 1, one end of which is a fixed end 2, and the other end of which is a free end 3, where the structure of the elastic substrate 1 includes an elastic substrate section 101 and a negative poisson ratio structure section 102, the elastic substrate section 101 and the negative poisson ratio structure section 102 are connected into an integral or an integral form, and two sides of the negative poisson ratio structure section 102 are respectively provided with piezoelectric ceramics 4;
the negative poisson ratio structural section 102 is formed by periodically arranging a plurality of unit cell structures, and as shown in fig. 3, the unit cell structures comprise a concave hexagonal structure and six concave tetragonal structures 5, and the centers of the concave tetragonal structures 5 are respectively positioned at six vertexes of the concave hexagonal structure;
the concave hexagonal structure and the concave tetragonal structure are both vertically and laterally symmetrical structures.
Specifically, the structure of the concave quadrangle 5 comprises a large concave quadrangle surrounded by eight equal-length side edges and a small concave quadrangle which is formed by the large concave quadrangle and is equidistant inwards and equal to the large concave quadrangle; the connection points of the two adjacent side edges are concave vertexes or convex vertexes, and the concave included angle e between the two adjacent side edges is 120-150 degrees.
The concave hexagonal structure is formed by connecting two long sides on the left side and the right side and two short sides on the upper side and the lower side, and the two short sides on each side are connected to form a concave vertex; the length of the long side is a, the distance between the two long sides is b, and the distance between the two concave top points is c;
as shown in fig. 4, the negative poisson ratio structural section is formed by periodically arranging a plurality of unit cell structures in the following arrangement manner:
copying the initial unit cell structures along the horizontal direction at a distance b, namely sharing a long side and concave quadrangle structures at the upper end and the lower end of the long side by two adjacent unit cell structures in the horizontal direction;
the initial unit cell structure is firstly moved (a+c)/2 along the vertical direction, then moved b/2 along the horizontal direction, and then copied along the horizontal direction at the interval b, namely, the two unit cell structures are arranged in a staggered way b/2 along the vertical direction, and share one short side and the concave quadrangle structures at the left end and the right end of the short side.
Wherein c is less than a and less than b.
In the negative poisson ratio structural section of this embodiment, as shown in fig. 3, when a load is applied in a vertical direction, first, an included angle e between adjacent sides in two concave quadrangles in the middle of the inner hexagonal unit cell structure will increase, then a distance g between two vertex angle end points of the large concave quadrangle and a distance f between concave top points of the small concave quadrangle will increase due to the negative poisson ratio effect of the concave quadrangle, and at the same time, an increase in an included angle e between adjacent sides in the concave quadrangle will cause a deformation of a side wall of the concave hexagon due to a bending moment effect, so that a parallel distance b between two long sides of the concave hexagon and an end point distance c between upper side wall and lower side wall are increased. Therefore, the hierarchical recombination of the negative poisson's ratio effects of the two structures of the concave quadrangle and the concave hexagon makes the negative poisson's ratio effect of the single cell structure more remarkable.
The wall thickness of the concave hexagonal unit cell is d. Wherein a, b, c refer to the median length of the wall thickness.
In order to ensure that the concave hexagons and the concave quadrangles in the hierarchical negative poisson ratio structure do not interfere when deformed, each size in the structure can be designed, and the value range of a is between 16 and 24mm; b has a value range of 20mm-30mm; c has a value range of 10mm-14mm; the value range of the wall thickness d of the concave hexagon is 1mm-3mm; the value range of the distance f between two opposite concave top points of the small concave quadrangle is 1mm-4mm; the distance g between the two convex vertexes of the large concave quadrangle is 6mm-10mm.
Specifically, as shown in fig. 1, the negative poisson's ratio structural section 102 of the present embodiment is near the fixed end 2, and the elastic substrate section 101 is near the free end 3.
As shown in fig. 5, which is a schematic cross-sectional view of a complete structure of a negative poisson ratio structure section in the piezoelectric energy harvester according to the embodiment, for a structure connected according to the mode of fig. 4, a half of gaps of a unit cell structure exist at the left end and the right end of the structure, the gaps are filled according to the shape of the left and the right parts of the unit cell structure, the concave quadrangles at the left end and the right end are removed, the shape of the concave quadrangles is reserved for facilitating manufacturing, and meanwhile, a T-shaped structure 6 is added at the included angle of the concave quadrangles at the upper end and the lower end, so that the structure distribution of the hierarchical negative poisson ratio structure is more uniform. The structure may be formed by laser cutting a flat plate from materials commonly used in the manufacture of such structures.
Specifically, fig. 6 shows an explosion schematic diagram of the piezoelectric energy harvester according to the present embodiment, which includes a fixed end 2, upper and lower epoxy resin layers 7, upper and lower piezoelectric ceramics 4, an elastic substrate 1, and a mass block disposed at the free end 3.
The upper and lower epoxy layers 7 are located between the negative poisson's ratio structural section 102 and the piezoelectric ceramic 4, and the shape of the epoxy layers is the same as that of the negative poisson's ratio structural section 102.
When the energy harvester is installed in a vibration environment, the free end can vibrate along with the vibration of an environmental vibration source, the mass block can enlarge the vibration amplitude of the cantilever beam, so that the elastic substrate in the energy harvester is deformed more greatly, the negative Poisson ratio structural section in the elastic matrix can expand or compress the elastic substrate section towards two directions simultaneously, the deformation is further increased, and the piezoelectric ceramic is deformed more greatly due to the bonding effect of epoxy resin, so that the output performance of the piezoelectric energy harvester is improved finally. Due to the characteristics of the negative poisson ratio structure, the elastic matrix can expand and deform when being stretched and compressed, and due to the structural characteristics of the negative poisson ratio, the elastic matrix can deform more when being excited by the same excitation, and the energy harvester can have higher energy absorption efficiency.
As shown in fig. 7, the piezoelectric energy harvester of the embodiment is used as a "piezoelectric cantilever beam" shown as a square frame in the figure, and is arranged along the surface of a spoke of an automobile rim, the fixed end of the elastic base is close to one side of the rotation center of the tire, and the free end of the elastic base is provided with a mass block.
The fixed end of the elastic matrix is fixed on one side close to the rotation center, and a mass block is added to the other free end of the elastic matrix. During the running process of the automobile, the centrifugal force generated by the rotation movement of the tire can influence the rigidity of the elastic matrix of the energy harvester, so that the capacity of the energy harvester for collecting electric energy also changes along with the change of the speed of the automobile. This self-tuning capability can improve the bandwidth of the energy harvester to some extent to collect energy and improve its collection capability.
In the mounting position of the energy harvester, the distance r of the fixed end from the center of rotation varies depending on the length of the hub and the length I of the elastic matrix composite beam of the energy harvester. The length and width of the cantilever beam should be smaller than the corresponding dimensions of the tire rim spokes.
As shown in fig. 8, the harvester cantilever beam is deformed by gravity excitation during rotational movement of the wheel. Centrifugal force generated by rotation generates back-to-back tension on the cantilever beam of the energy harvester, and the rigidity of the combined beam of the energy harvester can be enhanced.
As shown in fig. 9, in the output power diagram of the piezoelectric energy harvester of the embodiment, when the resonance frequency of the energy harvester is matched with the frequency of the vibration source in the environment, the output voltage and the output electric power respectively exceed 0.04V and 0.04 μw, so that the energy supply requirement of the microelectronic device can be met in a large range, and the self-energy supply aim of most microelectronic devices can be achieved.
In the rotating motion process of the wheel, gravity resonance occurs under the gravity action of the mass block, the mass block vibrates forwards and backwards at the balance position, the cantilever beam of the energy harvester is excited, the elastic matrix of the negative poisson ratio structure deforms in two directions under the excitation action of gravity, and the piezoelectric sheets on two sides of the elastic matrix can collect energy generated by deformation of the elastic matrix. Meanwhile, the rigidity of the cantilever beam is changed due to the centrifugal force generated by the rotation movement of the wheel, so that the natural frequency of the energy harvester is changed along with the rotation speed of the wheel, the optimal working state of the energy harvester is changed along with the rotation speed of the wheel synchronously to a certain extent, and the frequency bandwidth of the voltage for collecting the normal working of the sensor by the energy harvester can be improved. And further ensure that the sensor on the tire can maintain normal operation at a larger range of rotational speeds.
The piezoelectric energy harvester based on the hierarchical negative poisson ratio structure can be widely applied to a large number of miniature wireless sensors, and can ensure that a plurality of sensors can be simultaneously powered and can work normally under certain specific rotating speeds.
Claims (6)
1. The piezoelectric energy harvester based on the hierarchical negative poisson ratio structure comprises an elastic matrix, wherein one end of the elastic matrix is a fixed end, and the other end of the elastic matrix is a free end;
the negative poisson ratio structure section is formed by periodically arranging a plurality of unit cell structures, each unit cell structure comprises a concave hexagonal structure and six concave tetragonal structures, and the centers of the concave tetragonal structures are respectively positioned at six vertexes of the concave hexagonal structure;
the concave hexagonal structure and the concave tetragonal structure are both vertically and horizontally symmetrical structures;
the elastic substrate section and the negative poisson ratio structural section are connected into a whole or formed integrally;
the concave hexagonal structure is formed by connecting two long sides on the left side and the right side and two short sides on the upper side and the lower side, and the two short sides on each side are connected to form a concave vertex;
the concave quadrangle structure comprises a large concave quadrangle surrounded by eight equal-length side edges and a small concave quadrangle which is formed by the large concave quadrangle and is equidistant inwards and equal to the large concave quadrangle; the connection points of the two adjacent side edges are concave vertexes or convex vertexes, and the concave included angle e between the two adjacent side edges is 120-150 degrees;
the negative poisson ratio structural section is formed by periodically arranging a plurality of unit cell structures in the following arrangement mode:
copying the initial unit cell structures along the horizontal direction at a distance b, namely sharing a long side and concave quadrangle structures at the upper end and the lower end of the long side by two adjacent unit cell structures in the horizontal direction;
the initial unit cell structure is firstly moved (a+c)/2 along the vertical direction, then moved b/2 along the horizontal direction, and then copied along the horizontal direction at a spacing b, namely, two adjacent unit cell structures are arranged in a staggered way b/2 along the vertical direction, and the unit cell structures share a short side and concave quadrangle structures at the left end and the right end of the short side;
wherein a is the length of the long sides of the concave hexagonal structure, the distance between the two long sides is b, the distance between the two concave top points is c, and c is less than a and less than b.
2. The piezoelectric energy harvester based on the hierarchical negative poisson ratio structure according to claim 1, wherein the value range of a is 16mm-24mm; b has a value range of 20mm-30mm; c has a value range of 10mm-14mm;
the value range of the wall thickness d of the concave hexagon is 1mm-3mm;
the value range of the distance f between two opposite concave top points of the small concave quadrangle is 1mm-4mm;
the distance g between the two convex vertexes of the large concave quadrangle is 6mm-10mm.
3. The piezoelectric energy harvester based on the hierarchical negative poisson ratio structure according to claim 1, wherein the upper end and the lower end of the negative poisson ratio structure section and the concave top point of the concave quadrilateral structure positioned at the middle top point of the concave hexagonal structure are provided with T-shaped structures.
4. The piezoelectric energy harvester of claim 1 wherein the negative poisson ratio structure segment is proximate the fixed end and the resilient base segment is proximate the free end.
5. The piezoelectric energy harvester of claim 1, wherein an epoxy layer is covered between the negative poisson's ratio structure segment and the piezoelectric ceramic, and the epoxy layer has the same shape as the outline of the negative poisson's ratio structure segment.
6. The piezoelectric energy harvester based on the hierarchical negative poisson ratio structure according to claim 1, wherein the piezoelectric energy harvester is arranged along the surface of a rim spoke, the fixed end of the elastic base is close to one side of the rotation center of the tire, and the free end of the elastic base is provided with a mass block.
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| CN109854659A (en) * | 2019-03-08 | 2019-06-07 | 哈尔滨工程大学 | A kind of buffering vibration suppression structure having both indent and chiral Negative poisson's ratio |
| DE212019000316U1 (en) * | 2019-09-30 | 2021-03-09 | Nanjing Tech University | A multifunctional attachment piece with a multiple negative Poisson ratio effect |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109854659A (en) * | 2019-03-08 | 2019-06-07 | 哈尔滨工程大学 | A kind of buffering vibration suppression structure having both indent and chiral Negative poisson's ratio |
| DE212019000316U1 (en) * | 2019-09-30 | 2021-03-09 | Nanjing Tech University | A multifunctional attachment piece with a multiple negative Poisson ratio effect |
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