CN110939853B - High-efficient flexible two-dimensional plane lattice structure - Google Patents

High-efficient flexible two-dimensional plane lattice structure Download PDF

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CN110939853B
CN110939853B CN201911190230.8A CN201911190230A CN110939853B CN 110939853 B CN110939853 B CN 110939853B CN 201911190230 A CN201911190230 A CN 201911190230A CN 110939853 B CN110939853 B CN 110939853B
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arc
lattice structure
double
rod
curve
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CN110939853A (en
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梁军
刘亚波
葛敬冉
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Beijing Institute of Technology BIT
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16SCONSTRUCTIONAL ELEMENTS IN GENERAL; STRUCTURES BUILT-UP FROM SUCH ELEMENTS, IN GENERAL
    • F16S3/00Elongated members, e.g. profiled members; Assemblies thereof; Gratings or grilles
    • F16S3/06Assemblies of elongated members
    • F16S3/08Assemblies of elongated members forming frameworks, e.g. gratings
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F3/00Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic
    • F16F3/02Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic with springs made of steel or of other material having low internal friction
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F3/00Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic
    • F16F3/08Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic with springs made of a material having high internal friction, e.g. rubber
    • F16F3/087Units comprising several springs made of plastics or the like material
    • F16F3/0873Units comprising several springs made of plastics or the like material of the same material or the material not being specified
    • F16F3/0876Units comprising several springs made of plastics or the like material of the same material or the material not being specified and of the same shape
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F2226/00Manufacturing; Treatments
    • F16F2226/04Assembly or fixing methods; methods to form or fashion parts
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F2234/00Shape
    • F16F2234/06Shape plane or flat

Abstract

The invention relates to a high-efficiency flexible two-dimensional plane lattice structure which comprises a plurality of groups of double-arc-shaped rod pieces, wherein the groups of double-arc-shaped rod pieces are distributed in a square array in a plane, each double-arc-shaped rod piece is formed by mutually and vertically connecting two curve rod wires, each curve rod wire is provided with four arc lines in wavy distribution, and the arc lines on the curve rod wires are regular arc lines.

Description

High-efficient flexible two-dimensional plane lattice structure
Technical Field
The invention relates to the technical field of material structures, in particular to a high-efficiency flexible two-dimensional plane lattice structure.
Background
With the development of engineering technology, engineers have made increasing demands on lightweight and versatility of structures. The ultra-light lattice structure is a novel and bearing and multifunctional integrated novel structure form which appears along with the development of advanced additive manufacturing technology in recent years, the lattice structure has higher porosity, and the material utilization rate is improved, so that the lattice structure has higher mechanical bearing performance such as specific rigidity and specific strength, and the hollow structure provides possibility for the complex and multifunctional performance of the structure.
When the two-dimensional plane lattice structure bears the out-of-plane impact load, the deformation is mainly the stretching of the rod piece, the stretching deformation capacity of the straight rod piece is limited, and for impact objects with larger mass or speed, the energy absorption capacity of the lattice structure is limited, so that the lattice structure is easy to damage.
Disclosure of Invention
Technical problem to be solved
The invention aims to solve the technical problem that the stretching and compression resistance of the lattice structure of a straight rod piece is limited.
(II) technical scheme
In order to solve the technical problem, the invention provides an efficient flexible two-dimensional plane lattice structure which comprises a plurality of groups of double-arc rod pieces, wherein the groups of double-arc rod pieces are distributed in a square array in a plane, the double-arc rod pieces are formed by mutually and vertically connecting two curve rod wires, each curve rod wire is provided with four arc wires distributed in a wavy manner, and the arc wires on the curve rod wires are regular arc wires.
By adopting the technical scheme, the double-arc structure is subjected to a bending and straightening process and a straight rod stretching process under the action of a tensile load, wherein the structure can be greatly displaced only by a small force in the bending and straightening process, the bearing capacity of the structure is rapidly increased in the straight rod stretching process, the change relationship of the stress strain is the same as that of a spider silk, and the structure not only has excellent in-plane performance, but also has excellent out-of-plane mechanical performance the same as that of the spider silk.
As a further description of the present invention, it is preferable that the steel wire on one side of the intersection point of the two curved rods has two arcs, and the total length of the two arcs is l, there are:
Figure BDA0002293382030000021
wherein R is the arc radius;
h is the height of the arc.
By adopting the technical scheme, the lattice structure has stable mechanical property.
As a further illustration of the present invention, h is preferably selected from the range of 0.2R to R.
By adopting the technical scheme, the rod piece can be prevented from becoming a straight rod, and the rod piece can be ensured to have an arc-shaped structure capable of generating large deformation.
As a further explanation of the present invention, it is preferable that the two curved lines of the steel wires on both sides of the intersection point of the two curved wires are bent in opposite directions.
By adopting the technical scheme, the problem of stress concentration at the intersection of the curve rod and the curve wire can be effectively avoided.
As a further description of the present invention, it is preferable that the curved rod wire is made of metal or nylon material.
By adopting the technical scheme, the plane lattice structure has better toughness and is not easy to break.
As a further illustration of the present invention, preferably, the lattice structure is made using a laser cutting method.
Through adopting above-mentioned technical scheme, can ensure that structural strength is the same between each tie point of curve pole silk, make the atress distribute more evenly, improve the bearing capacity.
As a further illustration of the present invention, preferably, the lattice structure is made using a 3D printing method.
By adopting the technical scheme, the lattice structure can be integrally formed, and materials are saved.
As a further description of the present invention, preferably, the double-arc-shaped rods are inclined in the length direction, two groups of symmetrical ends of the double-arc-shaped rods are connected to form a single cell for array, and the ends of the arcs of the two groups of double-arc-shaped rods, which are connected to the arcs, are fixedly connected to straight rods, so that the two groups of double-arc-shaped rods have the same length and width.
By adopting the technical scheme, the different shapes of the middle space are utilized, so that the two-dimensional lattice structure can deal with more complex working environments, and the in-plane and out-of-plane mechanical properties of the two-dimensional lattice structure can be further improved.
As a further explanation of the present invention, it is preferable that the double arc-shaped bars are inclined at an angle of 45 °.
By adopting the technical scheme, the straight rod is matched, so that the unit cell array can be connected more conveniently and compactly.
(III) advantageous effects
The technical scheme of the invention has the following advantages:
according to the invention, by designing a double-arc-line lattice structure and changing a straight rod piece into a bent double-arc-line structure, a J-shaped stress-strain curve similar to spider silk can be realized, so that the high-strength double-arc-line spider silk has excellent out-of-plane mechanical property, has the capability of resisting large deformation under limited material strain, and can reduce impact load by prolonging the acting time, thereby improving the impact resistance of the high-strength double-arc-line spider silk.
Drawings
FIG. 1 is a plan array effect diagram of the present invention;
FIG. 2 is a block diagram of the curved wire of the present invention;
FIG. 3 is a block diagram of the design of the present invention;
FIG. 4 is a graph of the stress-strain curve of a curved wire rod of the present invention;
FIG. 5 is a velocity profile of the alluvial substance of the present invention after passing through a two-dimensional lattice structure of double arcs of different degrees of curvature;
FIG. 6 is an expanded two-dimensional lattice structure of the present invention;
FIG. 7 is a diagram of another array structure of the present invention;
FIG. 8 is a diagram of another array structure cell of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
A high-efficiency flexible two-dimensional plane lattice structure is combined with a graph 1 and a graph 2 and comprises a plurality of groups of double-arc rod pieces, wherein the double-arc rod pieces are distributed in a square array in a plane, the double-arc rod pieces are formed by mutually and vertically connecting two curve rod wires, the length direction of each curve rod wire is horizontal or vertical, four arc lines in wavy distribution are arranged on each curve rod wire, and the curve rod wires are made of metal or nylon materials, so that the plane lattice structure has good toughness and is not easy to break; the arc lines on the curved rod wires are regular arc lines, and the two arc lines of the steel wires on the two sides of the intersection point of the two curved rod wires are opposite in bending direction, so that the problem of stress concentration at the intersection point of the curved rod wires can be effectively avoided; the lattice structure can be manufactured by adopting a laser cutting method or a 3D printing method, the structural strength of all connecting points of the curve rod wire can be ensured to be the same by adopting the laser cutting method, the stress distribution is more uniform, the bearing capacity is improved, the lattice structure can be integrally formed by adopting the 3D printing method, and materials are saved.
With reference to fig. 2 and 3, two arc lines are respectively arranged on the steel wire on one side of the intersection point of the two curved rods, and the total length of the two arc lines is set to l, so that:
Figure BDA0002293382030000051
wherein R is the arc radius;
h is the height of an arc line, and the value range of h is 0.2R-R;
referring to fig. 4, the curved rod is tested for mechanical properties in-plane (in-plane means that the tensile force is in one plane with the two-dimensional structure), wherein,
and (3) applying a larger and larger pulling force to one end of the curve rod piece to enable the curve rod piece to gradually form the deformation of (1) - (4), and forming a J-shaped stress-strain curve at the same time.
This is different from The stress-strain curve of The conventional material, and secondly, according to The article of The structure and properties of spider silk (translated into The structure and properties of spider silk) published by John M.Gosline, M.Edwin DeMont, and Mark W.Denny, The authors found out that The mechanical properties of their single spider silk also showed The properties of "J-type" in The analysis, and The spider silk and The in-plane properties of The curved two-dimensional lattice were consistent and both showed The properties of "J-type" stress-strain; according to the obtained stress-strain curve diagram, the lattice structure has stable mechanical properties in the plane, so that the rod piece can be prevented from becoming a straight rod, and the rod piece can be ensured to have an arc-shaped structure capable of generating large deformation.
With reference to fig. 2 and 5, the spider web has good out-of-plane (out-of-plane means perpendicular to the two-dimensional lattice structure and along the normal of the plane) capture capability, and in order to study the influence of the degree of curvature of the circular arc on the mechanical performance of the structural surface, the following analysis results of four structures are compared, wherein the basic sizes of four lattice unit cells are as follows:
(a) a straight rod; (b) h is 5 mm; (c) h is 10 mm; (d) h is 20 mm.
In the experiment, a sphere structure is selected to respectively vertically fall to four groups of two-bit lattice structures at the speed of 2000mm/s, and the structure is damaged due to the over-high impact speed; after the structure is completely destroyed, the sphere can do linear motion at a constant speed, which is called residual speed, and as can be seen from the figure, (b) the structure, namely the bending degree of the two-dimensional plane lattice structure is maximum when h is 5mm, and the residual speed is minimum, which shows that the bending degree is in direct proportion to the shock resistance of the structure; and meanwhile, the overall stress distribution of the structure is more uniform when h is 5mm, which shows that more energy is absorbed in the impact process, and the effect of buffering and decelerating can be better played.
In summary, the double-arc structure is subjected to a bending and straightening process and a straight rod stretching process under the action of a tensile load, wherein the structure can be greatly displaced only by a small force in the bending and straightening process, the bearing capacity of the structure is rapidly increased in the straight rod stretching process, the change relationship of the stress strain is the same as that of a spider silk, and the structure not only has excellent in-plane performance, but also has excellent out-of-plane mechanical performance the same as that of the spider silk.
With the combination of fig. 1 and fig. 6, the invention can also adopt a double-arc triangular and hexagonal two-dimensional lattice structure, can further improve the in-plane and out-of-plane mechanical properties of the two-dimensional lattice structure, and can also be expanded into a three-dimensional lattice structure, thereby improving the mechanical properties to a greater extent.
With reference to fig. 7 and 8, the length direction of the double-arc-shaped rods can be inclined by 45 degrees, and the ends of two groups of the double-arc-shaped rods which are symmetrical to each other are connected to form a single cell for array, so that the different shapes of the middle space can be utilized to deal with more complex working environments, and the mechanical properties in the plane and outside the plane of the two-dimensional lattice structure can be further improved; because the two groups of arc-shaped double-arc-shaped rod pieces and the arc-shaped connection end can generate interference when being connected, the interference part is cut, and then the straight rod is fixedly connected to the cut end, so that the length and the width of the two groups of double-arc-shaped rod pieces are the same, and each end in the length direction or the width direction of the unit cell is positioned on the same straight line, and the connection in the unit cell array is more convenient and compact.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims (7)

1. A high-efficient flexible two-dimensional plane lattice structure which characterized in that: the double-arc-shaped rod piece comprises a plurality of groups of double-arc-shaped rod pieces, wherein the double-arc-shaped rod pieces are distributed in a square array in a plane, each double-arc-shaped rod piece is formed by mutually and vertically connecting two curve rod wires, each curve rod wire is provided with four arc lines in wavy distribution, and the arc lines on the curve rod wires are regular arc lines; the double-arc-shaped rods are inclined in the length direction, the ends of two groups of the double-arc-shaped rods which are symmetrical to each other are connected to form a single cell array, straight rods are fixedly connected to the ends, connected with arcs, of the two groups of the double-arc-shaped rods, so that the two groups of the double-arc-shaped rods are identical in length and width, and the inclination angle of the double-arc-shaped rods is 45 degrees.
2. A highly efficient flexible two-dimensional planar lattice structure as recited in claim 1, wherein: two have two pitch arcs on the steel wire of curve pole silk intersect point one side respectively, two pitch arcs total length are established to l, then have:
Figure FDA0002686461450000011
wherein R is the arc radius;
h is the height of the arc.
3. A highly efficient flexible two-dimensional planar lattice structure as recited in claim 2, wherein: the value range of h is 0.2R-R.
4. A highly efficient flexible two-dimensional planar lattice structure as recited in claim 2, wherein: and the bending directions of the two arcs of the steel wires on the two sides of the intersection point of the two curve rod wires are opposite.
5. A highly efficient flexible two-dimensional planar lattice structure as recited in claim 1, wherein: the curve rod wire is made of metal or nylon materials.
6. A highly efficient flexible two-dimensional planar lattice structure as recited in claim 1, wherein: the lattice structure is made by a laser cutting method.
7. A highly efficient flexible two-dimensional planar lattice structure as recited in claim 1, wherein: the lattice structure is manufactured by a 3D printing method.
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CN112112918B (en) * 2020-09-19 2022-11-18 重庆大学 Three-dimensional lattice structure of pole ization
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CN112800553B (en) * 2021-01-04 2024-01-30 中国科学院力学研究所 Multi-stage controllable progressive energy-absorbing lattice structure
CN115045939B (en) * 2022-06-13 2024-04-02 大连海事大学 Composite rubber vibration isolation noise reduction flexible thin layer

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