CN116292710A - Preparation method of chiral compression-torsion negative poisson ratio structure - Google Patents

Preparation method of chiral compression-torsion negative poisson ratio structure Download PDF

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CN116292710A
CN116292710A CN202310183852.8A CN202310183852A CN116292710A CN 116292710 A CN116292710 A CN 116292710A CN 202310183852 A CN202310183852 A CN 202310183852A CN 116292710 A CN116292710 A CN 116292710A
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chiral
torsion
negative poisson
poisson ratio
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李方义
王子杰
张强
汪涛
陈远文
曾荣
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Guangzhou University
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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
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Abstract

The invention relates to the field of chiral negative poisson ratio energy absorption structures, and discloses a preparation method of a chiral compression torsion negative poisson ratio structure, which can simply, conveniently and quickly construct a complex curve profile through a Lagrange interpolation method, is favorable for being applied to occasions with complex structural requirements, has simple construction modes, improves the production efficiency, can realize the change of the positive and negative poisson ratio of the structure by designing torsion directions of diagonal rods and chiralities, and when the torsion directions of chiral structures at the uppermost layers of chiral torsion columns at four corners are opposite in pairs in sequence, the structure presents negative poisson ratio compression; when the twisting directions of the chiral structures at the uppermost layers of the chiral twisting columns at the four corners are sequentially the same in two directions and opposite in two directions, the structure shows positive poisson ratio compression.

Description

Preparation method of chiral compression-torsion negative poisson ratio structure
Technical Field
The invention relates to the field of chiral negative poisson ratio energy absorption structures, in particular to a preparation method of a chiral compression-torsion negative poisson ratio structure.
Background
Nowadays, negative poisson's ratio materials are increasingly used by people in production and life, and negative poisson's ratio materials or structures have abnormal mechanical properties of expanding in the transverse direction when stretched and contracting in the transverse direction when compressed, and because of such special mechanical properties, the negative poisson's ratio materials or structures have properties which are not possessed by common materials, and the negative poisson's ratio materials have excellent shock absorption, good impact resistance and excellent energy absorption effect, and are widely applied to special occasions such as vehicle transportation, aerospace, biomedical and the like. Currently, researchers have developed negative poisson's ratio materials of a variety of different structures, such as: reentrant structures, embedded concave structures, rotating polygonal structures, chiral, anti-chiral structures, origami structures, and the like.
In recent years, more and more structures of negative poisson ratio metamaterials are proposed and manufactured, and the reason is that the mechanical properties of the traditional negative poisson ratio metamaterials are beneficial and disadvantageous, so that the stability of the structure is good and the excellent negative poisson ratio effect cannot be achieved. Meanwhile, the universality of some negative poisson ratio metamaterials is not excellent enough at present, so that the negative poisson ratio metamaterials cannot be simply and efficiently applied to various different occasions. The negative poisson ratio structure provided by the invention can realize conversion of the negative poisson ratio and the positive poisson ratio by changing the torsion direction of the inclined rod and the chirality, so that the universality of the structure is greatly improved, the manufacturing cost can be reduced, and greater benefits are realized. In addition, some negative poisson ratio metamaterials researched at present tend to crush when being axially pressed when contacting a stress surface, then energy is transmitted to the next layer until a fixed surface, so that the process is unfavorable for the energy absorption of a structure on one hand, and the negative poisson ratio effect of the structure is greatly reduced on the other hand.
Disclosure of Invention
(one) solving the technical problems
Aiming at the defects of the prior art, the invention provides a preparation method of a chiral compression-torsion negative Poisson ratio structure, which solves the problems that the existing research on the in-plane chiral negative Poisson ratio energy-absorbing structure is more, the research on the out-of-plane chiral negative Poisson ratio energy-absorbing structure is relatively less, meanwhile, the research on the out-of-plane chiral negative Poisson ratio energy-absorbing structure is poor in energy transmission effect when the compression-torsion coupled structure is axially compressed, most of energy can be downwards transmitted to a fixed end after the compression end is crushed, a compression mode of layer-by-layer compression is presented, and the compression mode is poor in negative Poisson ratio effect and poor in stability in the compression process; meanwhile, the existing chiral structure is designed by a trial and error method, and is compared in a certain parameter range, so that the workload of researchers is increased intangibly and the working efficiency is reduced.
(II) technical scheme
In order to achieve the above purpose, the present invention provides the following technical solutions: a preparation method of a chiral compression-torsion negative poisson ratio structure comprises the following steps:
the first step: establishing two curves with an upper-lower distance of a (mm) on an upper-view reference plane by using a Lagrange interpolation method;
and a second step of: connecting the head, the head and the tail of the two curves to form a closed surface, taking the normal line of an upward reference surface in the center of the surface as a reference axis, circumferentially array the closed surface around the reference axis by 90 degrees, combining the two surfaces into a curved surface of the upward reference surface, and then stretching upwards by a distance b (mm) towards the direction of the reference axis to obtain a chiral structure established by a Lagrange interpolation method;
and a third step of: 6 chiral structures established by the Lagrange interpolation method are arranged upwards in a linear array with a distance of h (mm), the torsion direction of the chiral structures established by the Lagrange interpolation method of an even number layer is adjusted to be clockwise, one connecting line of the two curves established by the Lagrange interpolation method is translated to an axis by a distance of c (mm) on the upper surface of the chiral structures established by the Lagrange interpolation method, the obtained line, the connecting line and the two curves construct a closed plane, the same operation is carried out on the lower surface of the chiral structures established by the second Lagrange interpolation method, the two closed planes are separated by 90 degrees, the two planes are subjected to lofting bosses, and the guide lines are placed at a certain oblique angle, so that the diagonal bar is obtained;
fourth step: the diagonal rods are inclined clockwise around the reference shaft, 4 diagonal rods are circumferentially arrayed around the reference shaft, 5 diagonal rods are upwardly arrayed along the direction of the reference shaft, and the twisting direction of the diagonal rods on even layers in the diagonal rods is adjusted to be anticlockwise, so that a single chiral twisting column is obtained;
fifth step: and then, 3 single chiral torsion columns are respectively arrayed in the negative x-axis direction and the positive y-axis direction, the chiral torsion columns except the single chiral torsion column and the opposite angles thereof are unchanged, the chiral structure established by the Lagrange interpolation method in the two chiral torsion columns at the other opposite angles and the torsion direction of the diagonal rods are reversed, the chiral structures established by the bottom Lagrange interpolation method of each chiral torsion column are connected in a connecting mode with negative Poisson ratio in the surface through connecting rods, then, 6 arrays are upwards arranged along the direction of the reference axis, the connecting mode of the connecting rods of even layers is rotated by 90 degrees around the reference axis, and finally, the chiral torsion negative Poisson ratio structure established based on the Lagrange interpolation method is obtained.
Preferably, the twisting directions of the single chiral twist posts at the four corners are sequentially opposite, and the twisting directions of the rest chiral twist posts are the same.
Preferably, the torsion directions of the inclined rods of each layer of the single chiral torsion column are opposite.
Preferably, the twist direction of the chiral structure established by the Lagrangian interpolation method of each layer of the single chiral twist column is opposite.
Preferably, the guide lines of the upper plane lofting boss and the lower plane lofting boss of the diagonal rod are connected in a staggered mode.
Preferably, the curve design method established based on Lagrange interpolation method comprises the following steps:
the design curve passes through n points (x 1 ,y 1 )(x 2 ,y 2 )(x 3 ,y 3 )(x 4 ,y 4 )(x 5 ,y 5 )(x 6 ,y 6 )......(x n ,y n ) Then the difference is needed to be carried out n-1 times
Figure BDA0004108255930000031
Thus, a curve passing through the desired point is obtained, wherein the upper curve passes through the point (a 1 ,b 1 )；(a 2 ,b 2 )；(a 3 ,b 3 )；(a 4 ,b 4 )；(a 5 ,b 5 )；(a 6 ,b 6 )；
The lower curve passes through point (c 1 ,d 1 )；(c 2 ,d 2 )；(c 3 ,d 3 )；(c 4 ,d 4 )；(c 5 ,d 5 )；(c 6 ,d 6 )。
(III) beneficial effects
Compared with the prior art, the invention provides a preparation method of a chiral pressure-torsion negative poisson ratio structure, which has the following beneficial effects:
1. according to the preparation method of the chiral compression-torsion negative poisson ratio structure, a complex curve outline can be constructed through simple and rapid theoretical analysis by a Lagrange interpolation method, the preparation method is beneficial to being applied to occasions with complex structural requirements, the construction mode is simple and convenient, and the production efficiency is improved.
2. According to the preparation method of the chiral compression-torsion negative poisson ratio structure, the chiral structure can be used for adjusting substituted points according to the requirements of different occasions on energy absorption effect or the requirements on structural space size through a Lagrange interpolation method, and is beneficial to being applied to occasions with higher requirements on structural universality, such as vehicles, ships, aerospace, medical appliances and the like.
3. According to the preparation method of the chiral compression torsion negative Poisson ratio structure, the torsion directions of the inclined rods are opposite in interval, so that the structure cannot be unstable when receiving a large impact load, energy can be transferred to the whole structure more uniformly, and the overall negative Poisson ratio effect of the structure is improved.
4. According to the preparation method of the chiral compression torsion negative poisson ratio structure, the positive poisson ratio and the negative poisson ratio of the structure can be changed by designing the torsion directions of the inclined rod and the chirality. Thereby being suitable for various occasions.
5. According to the preparation method of the chiral compression torsion negative Poisson ratio structure, the connecting rods among the chiral torsion columns can achieve an in-plane negative Poisson ratio effect, and the Poisson ratio of the structure can be changed by adjusting the connection of the connecting rods of each layer.
Drawings
FIG. 1 is a schematic structural diagram of a chiral compression-torsion negative Poisson's ratio structure;
FIG. 2 is a diagram of the components of a chiral compression-torsion negative Poisson's ratio structure;
FIG. 3 is a schematic diagram of a top view twist of a chiral compression-torsion negative Poisson's ratio structure;
FIG. 4 is a front view of a chiral compression-torsion negative Poisson's ratio structure;
FIG. 5 is a chiral structural design of a chiral compression-torsion negative Poisson's ratio structure;
fig. 6 is a single cell label plot of a chiral press-torque negative poisson ratio structure.
In the figure: 1. a connecting rod; 2. a chiral structure established by a Lagrangian interpolation method; 3. and (5) a diagonal rod.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Referring to fig. 1-6, a chiral compression-torsion negative poisson ratio structure includes the following steps:
the first step: a single chiral torsion column is established, a series of points are firstly taken on an upward-looking reference plane, the series of points are smoothly connected by a Lagrange interpolation method to form a smooth curve, a series of points are taken at a distance a (mm) below the curve on the upward-looking reference plane, a curve is established by the Lagrange interpolation method in the same way, the middle of the two curves is thicker near the assigned position, and the two sides are thinner;
and a second step of: the two curves are connected from head to head and from tail to form a closed surface, the normal line of the upward reference surface passing through the center of the surface is taken as a reference axis, the closed surface is arranged around the circumference of the reference axis by 90 degrees, the two surfaces are combined into one curved surface of the upward reference surface and then are stretched upwards towards the direction of the reference axis by a distance b (mm), the chiral structure 2 established based on the Lagrange interpolation method is obtained, the chiral structure 2 established based on the Lagrange interpolation method is upwards arranged by 6 linear arrays with a distance h (mm), the torsion direction of the chiral structure 2 established by the Lagrange interpolation method of an even layer is adjusted to be clockwise, the connecting line of the curves established by the two Lagrange interpolation methods is shifted towards the axis by a distance c (mm) on the upper surface of the chiral structure 2 established by the Lagrange interpolation method, the obtained line, the connecting line and the two curves construct a closed plane, the same operation is carried out on the lower surface of the chiral structure 2 established by the second Lagrangian interpolation method, the two closed planes are separated by 90 degrees, the two obtained closed planes carry out lofting bosses on the two planes, guide lines are not in one-to-one correspondence, but are placed at a certain position in a staggered manner, so that the diagonal rods 3 are obtained, the diagonal rods 3 are inclined clockwise around the reference axis, 4 diagonal rods 3 are circumferentially arrayed around the reference axis, 5 diagonal rods are upwardly arrayed along the direction of the reference axis, and the torsion direction of the diagonal rods 3 of an even layer in the two closed planes is adjusted to be anticlockwise, so that a single chiral torsion column is obtained;
and a third step of: then, 3 single chiral torsion columns are arrayed in the negative direction of the x axis and the positive direction of the y axis, the chiral torsion columns except the single chiral torsion column and the opposite angles thereof are unchanged, the chiral structures in the two chiral torsion columns at the other opposite angles and the torsion directions of the diagonal rods are reversed, the bottom chiral structures of the chiral torsion columns are connected in a connection mode of in-plane negative poisson ratio through the connecting rods 1, then 6 arrays are upwards along the direction of the reference axis, the connection mode of the connecting rods 1 of even layers is rotated by 90 degrees around the reference axis and is also the connection mode of in-plane negative poisson ratio, and finally the chiral torsion negative poisson ratio structure established based on the Lagrange interpolation method is obtained.
As shown in fig. 3, the chiral twist negative poisson ratio structure established based on the lagrangian interpolation method has a length L (mm) and a width L (mm); and the torsion directions of the chiral torsion columns are marked.
As shown in fig. 4, the overall height of the chiral twisted negative poisson ratio structure established based on lagrangian interpolation is H (mm); the height of the chiral torsion unit cell is h (mm).
As shown in fig. 5, the length of the connecting line of the two curves established based on the lagrangian interpolation method of the chiral torsion negative poisson ratio structure established based on the lagrangian interpolation method is a (mm); the curve design method established based on Lagrange interpolation method in the invention comprises the following steps:
the design curve passes through n points (x 1 ,y 1 )(x 2 ,y 2 )(x 3 ,y 3 )(x 4 ,y 4 )(x 5 ,y 5 )(x 6 ,y 6 )......(x n ,y n ) Then the difference is needed to be carried out n-1 times
Figure BDA0004108255930000061
Thus, a curve passing through the desired point is obtained, wherein the upper curve passes through the point (a 1 ,b 1 )；(a 2 ,b 2 )；(a 3 ,b 3 )；(a 4 ,b 4 )；(a 5 ,b 5 )；(a 6 ,b 6 )；
The lower curve passes through point (c 1 ,d 1 )；(c 2 ,d 2 )；(c 3 ,d 3 )；(c 4 ,d 4 )；(c 5 ,d 5 )；(c 6 ,d 6 )。
As shown in fig. 6, the chiral structure thickness of the chiral twisted negative poisson ratio structure established based on the lagrangian interpolation method is b (mm); the two parallel lines of the lower surface of the diagonal bar are spaced apart by a distance c (mm).
The construction parameters of this case are as follows: l= 100.53 (mm); h= 127.66 (mm); h=27.13 (mm); a=3 (mm); b=2 (mm); c=3 (mm);
Figure BDA0004108255930000062
(a 1 ,b 1 )＝(0,0)；(a 2 ,b 2 )＝(7.06,3.88)；(a 3 ,b 3 )＝(14.12,0)；
(a 4 ,b 4 )＝(16.94,-1.45)；(a 5 ,b 5 )＝(19.65,-2.4)；(a 6 ,b 6 )＝(25.19,0)
(c 1 ,d 1 )＝(0,0)；(c 2 ,d 2 )＝(7.06,3.14)；(c 3 ,d 3 )＝(14.12,0)；
(c 4 ,d 4 )＝(16.94,-1.45)；(c 5 ,d 5 )＝(19.65,-3.12)；(c 6 ,d 6 )＝(25.19,0)
。
although embodiments of the present invention have been shown and described, it will be understood by those skilled in the art that various changes, modifications, substitutions and alterations can be made therein without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.

Claims (6)

1. The preparation method of the chiral compression-torsion negative poisson ratio structure is characterized by comprising the following steps of:
the first step: establishing two curves with an upper-lower distance of a (mm) on an upper-view reference plane by using a Lagrange interpolation method;
and a second step of: connecting the head, the head and the tail of the two curves to form a closed surface, taking the normal line of an upward reference surface passing through the center of the surface as a reference axis, circumferentially array the closed surface around the reference axis by 90 degrees, combining the two surfaces into a curved surface of the upward reference surface, and then stretching upwards by a distance b (mm) towards the direction of the reference axis to obtain a chiral structure (2) established by a Lagrange interpolation method;
and a third step of: 6 chiral structures (2) established by a Lagrange interpolation method are linearly arrayed upwards by a distance h (mm), the torsion direction of the chiral structures (2) established by the Lagrange interpolation method of an even number layer is adjusted to be clockwise, one connecting line of two curves established by the Lagrange interpolation method is translated to an axis by a distance c (mm) on the upper surface of the chiral structures (2) established by the Lagrange interpolation method, the obtained line, the connecting line and the two curves establish a closed plane, the lower surface of the chiral structures (2) established by a second Lagrange interpolation method is operated in the same way, the two closed planes are separated by 90 degrees, the two obtained closed planes are subjected to lofting bosses, and a guide line is placed at a certain oblique angle, so that a diagonal rod (3) is obtained;
fourth step: the inclined rods (3) are inclined clockwise around the reference shaft, 4 inclined rods (3) are arrayed circumferentially around the reference shaft, 5 inclined rods are arrayed upwards along the direction of the reference shaft, and the torsion direction of the inclined rods (3) on even layers is adjusted to be anticlockwise, so that a single chiral torsion column is obtained;
fifth step: then, 3 single chiral torsion columns are arrayed in the negative x-axis direction and the positive y-axis direction, the chiral torsion columns except the single chiral torsion column and the opposite angles thereof are unchanged, the torsion directions of a chiral structure (2) established by a Lagrange interpolation method and an inclined rod (3) in the two chiral torsion columns at the other opposite angles are reversed, the chiral structures (2) established by the bottom Lagrange interpolation method of each chiral torsion column are connected through connecting rods (1) in a connecting mode with negative Poisson's ratio in a plane, then, 6 connecting rods (1) of even layers are arrayed upwards along the direction of a reference axis, and the connecting mode of the connecting rods (1) of the even layers is rotated by 90 degrees around the reference axis, so that the chiral torsion negative Poisson's ratio structure established based on the Lagrange interpolation method is finally obtained.
2. The method for preparing the chiral compression-torsion negative poisson ratio structure according to claim 1, which is characterized in that: the twisting directions of the single chiral twist posts at the four corners are sequentially opposite, and the twisting directions of the rest chiral twist posts are the same.
3. The method for preparing the chiral compression-torsion negative poisson ratio structure according to claim 1, which is characterized in that: the torsion directions of the inclined rods (3) of each layer of the single chiral torsion column are opposite.
4. The method for preparing the chiral compression-torsion negative poisson ratio structure according to claim 1, which is characterized in that: the twisting directions of the chiral structures (2) established by the Lagrangian interpolation method of each layer of the single chiral twisting column are opposite.
5. The method for preparing the chiral compression-torsion negative poisson ratio structure according to claim 1, which is characterized in that: the guide lines of the upper plane lofting bosses and the lower plane lofting bosses of the diagonal rods (3) are connected in a staggered mode.
6. The method for preparing the chiral compression-torsion negative poisson ratio structure according to claim 1, which is characterized in that: the curve design method established based on Lagrange interpolation method comprises the following steps:
the design curve passes through n points (x 1 ,y 1 )(x 2 ,y 2 )(x 3 ,y 3 )(x 4 ,y 4 )(x 5 ,y 5 )(x 6 ,y 6 )......(x n ,y n ) Then the difference is needed to be carried out n-1 times
Figure FDA0004108255900000021
Thus, a curve passing through the desired point is obtained, wherein the upper curve passes through the point (a 1 ,b 1 )；(a 2 ,b 2 )；(a 3 ,b 3 )；(a 4 ,b 4 )；(a 5 ,b 5 )；(a 6 ,b 6 )；
The lower curve passes through point (c 1 ,d 1 )；(c 2 ,d 2 )；(c 3 ,d 3 )；(c 4 ,d 4 )；(c 5 ,d 5 )；(c 6 ,d 6 )。
CN202310183852.8A 2023-02-27 2023-02-27 Preparation method of chiral compression-torsion negative poisson ratio structure Pending CN116292710A (en)

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