CN109284542B - High-strength porous material energy absorption device and porous material strength determination method - Google Patents
High-strength porous material energy absorption device and porous material strength determination method Download PDFInfo
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- CN109284542B CN109284542B CN201811024028.3A CN201811024028A CN109284542B CN 109284542 B CN109284542 B CN 109284542B CN 201811024028 A CN201811024028 A CN 201811024028A CN 109284542 B CN109284542 B CN 109284542B
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Abstract
The invention discloses a high-strength porous material energy absorption device and a porous material strength determination method thereof; the energy absorption device comprises a supporting plate (2), a moving plate (1) and a porous material (3), wherein the porous material (3) is formed by superposing a plurality of rows of horizontally arranged tubular bodies, the axes of the tubular bodies (4) in each row are mutually parallel and positioned on the same plane, and are sequentially and adjacently arranged in parallel, the structural size and the relative density of each tubular body (4) in each row of the tubular bodies (4) are symmetrically arranged relative to a central shaft (5) of the porous material, and in each row of the tubular bodies (4), the relative density difference exists between the adjacent tubular bodies (4) arranged along one side of the central shaft (5); the method for determining the strength of the porous material comprises the following steps: (10) calculating a relative density solution set, (20) determining relative density, (30) calculating cell parameters, (40) calculating an enhancement coefficient, and (50) determining structural strength. The high-strength porous material energy absorption device is high in strength and saves materials.
Description
Technical Field
The invention belongs to the technical field of reinforced porous materials, and particularly relates to a high-strength porous material energy absorption device with high strength and material saving and a porous material strength determination method.
Background
In the fields of construction, traffic and the like, porous materials are widely applied as protective materials. Generally, the protective object is required to have a higher protective capability and a lighter weight, which requires that the strength of the porous material is improved as much as possible under a certain weight, so that the protected object can be protected more effectively.
The prior art discloses a cellular structure with improved structural strength and a design method thereof (application number: CN201610539128.4, publication number: CN106678221A, published: 2017-05-17), which discloses a porous material with periodic folding characteristics, which is composed of a periodically folded cellular cell array. The honeycomb cell elements in each folding period are folded twice, the first folding direction is random, the second folding direction is opposite to the first folding direction, the included angle between the surface of each folded honeycomb cell element and the surface of each honeycomb cell element before folding ranges from 10 degrees to 34 degrees, the periodic folded honeycomb cell elements are connected in series along the different-plane direction and are arrayed in the coplanar direction after connection, and the structural strength of the honeycomb structure in the coplanar direction can be improved. However, this method has problems that: the honeycomb structure has more design parameters and complex structure; a strength theoretical model is not provided, and function guide design cannot be realized.
Disclosure of Invention
The invention aims to provide a high-strength porous material energy absorption device which is high in strength and saves materials.
Another object of the present invention is to provide a method for determining the strength of a porous material, which is used to simply and accurately determine the strength of the porous material in a high-strength porous material energy-absorbing device.
The technical solution for realizing the purpose of the invention is as follows:
the utility model provides a high strength porous material energy-absorbing device, includes backup pad 2, motion board 1 to and the upper end links to each other with backup pad 2, the porous material 3 that the lower extreme links to each other with motion board 1, porous material 3 is formed by the tubulose body superpose of multirow level placement, and each 4 axes of each tubulose body is parallel to each other and lie in the coplanar in each row, and the close-proximity is placed side by side in proper order, in every calandria body 4, the structural dimension and the relative density of each tubulose body 4 are for porous material's 5 symmetrical arrangement of center pin, in every calandria body 4, the relative density difference exists between the adjacent tubulose body 4 that set up along center pin 5 one side.
The technical solution for realizing another purpose of the invention is as follows:
a method for determining the strength of a porous material of an energy absorption device comprises the following steps:
(10) calculating a relative density solution set: calculating a relative density solution set according to a theoretical model of the relative density of the gradient porous material;
(20) determining the relative density: determining the relative density of the porous material corresponding to the solution according to different solutions in the solution set of the relative density and the gradient coefficients corresponding to the solutions;
(30) and (3) calculating cell parameters: and calculating the value of the gradient control parameter of the tubular body of the porous material according to the theoretical model of the relative density of the uniform porous material.
(40) And (3) strengthening coefficient calculation: calculating a strengthening coefficient according to the cell parameters and the corresponding structural parameters of the traditional uniform porous material with the same overall size and relative density;
(50) and (3) determining the structural strength: and calculating the structural strength of the porous material according to the strengthening coefficient and the yield stress of the raw materials.
Compared with the prior art, the invention has the remarkable advantages that:
1. the structure is simple and easy to realize;
2. the strength of the honeycomb structure can be obviously improved on the basis of not increasing raw materials, so that the use efficiency of the material is improved, and the requirement of light weight is met;
3. function-oriented design can be performed according to the theoretical model.
Drawings
FIG. 1 is a schematic structural diagram of an energy absorbing device made of high-strength cellular material according to the present invention.
Fig. 2 is a schematic structural view of a regular hexagonal honeycomb of the embodiment.
FIG. 3 is a schematic diagram of the piecewise linear gradient profile of the present invention.
FIG. 4 is a graph of the strength of the porous material of the present invention as a function of overall relative density.
FIG. 5 is a flow chart of a method for determining strength of a cellular material of an energy absorbing device of the present invention.
In the figure, a moving plate 1, a support plate 2 and a porous material 3.
Detailed Description
As shown in fig. 1, the high-strength porous material energy absorption device of the present invention includes a supporting plate 2, a moving plate 1, and a porous material 3 having an upper end connected to the supporting plate 2 and a lower end connected to the moving plate 1, wherein the porous material 3 is formed by stacking a plurality of rows of horizontally arranged tubular bodies, axes of the tubular bodies 4 in each row are parallel to each other and located on the same plane, and are sequentially juxtaposed and closely adjacent to each other, in each row of the tubular bodies 4, a structural size and a relative density of each tubular body 4 are symmetrically arranged with respect to a central axis 5 of the porous material, and in each row of the tubular bodies 4, a relative density difference exists between adjacent tubular bodies 4 arranged along one side of the central axis 5.
Preferably, the relative density difference between adjacent tubular bodies 4 arranged along one side of the central axis 5 in each row of tubular bodies 4 is constant.
More preferably, the central axes 5 of the rows are located on the same plane.
The tubular body 4 may have any periodic structural shape in cross-section. Preferably in the shape of a regular hexagon, circle or square.
The present embodiment has a regular hexagonal honeycomb structure as the porous material (as shown in fig. 2), and is composed of 5 sub-honeycomb structures 31 to 35 (as shown in fig. 2 (a)). The subcells 31-35 are varied in relative density by varying the arm thickness of the regular hexagonal cells as shown in fig. 2(b), where the subcells 31 and 35, and 32 and 34, respectively, have the same relative density. Since the number of the sub-honeycomb structures is odd, the sub-honeycomb structures 33 have individual relative densities. The variation law of the relative density of each sub-honeycomb structure is shown in fig. 4. Given the overall relative density of the honeycomb and the number of sub-honeycombs, the honeycomb parameters can be designed and their strength predicted by the following steps.
As shown in fig. 5, the method for determining the strength of the porous material of the energy absorbing device of the present invention comprises the following steps:
(10) calculating a relative density solution set: calculating a relative density solution set according to a theoretical model of the relative density of the gradient porous material;
the step (10) of calculating the relative density solution set specifically includes calculating the relative density solution set according to the following formula:
where Δ ρ i Is the relative density, Δ ρ, of the ith sub-porous material H A, B and C form a constraint matrix, wherein A is a density constraint matrix, B is a symmetric constraint matrix, and C is a gradient constraint matrix. Wherein
Where n is the number of sub-porous materials, int () represents rounding down and up () represents rounding up. When the column number of B is odd, it has a column 0 vector in the center. When the number of columns of C is 4 or less, it does not exist.
(20) Determining the relative density: determining the relative density of the porous material corresponding to the solution according to different solutions in the solution set of the relative density and the gradient coefficients corresponding to the solutions;
the step (20) of determining the relative density is specifically that after the gradient coefficient of the porous material is determined according to the following formula, a corresponding solution of the relative density of the porous material can be found in a solution set:
(30) and (3) calculating cell parameters: and calculating the value of the gradient control parameter of the tubular body of the porous material according to the theoretical model of the relative density of the uniform porous material.
The (30) cell parameter calculating step includes: the value of the gradient control parameter of the tubular body of porous material can be determined from the theoretical model Δ ρ of the relative density of a homogeneous porous material i And f (a, b, c) is obtained by inverse solution, wherein a, b and c are structural parameters of the porous material cell.
(40) And (3) strengthening coefficient calculation: calculating a strengthening coefficient according to the parameters of the cells and the corresponding structural parameters of the traditional uniform porous material with the same overall size and relative density;
the (40) strengthening coefficient calculating step is as follows: the enhancement factor can be represented by the formula xi ═ g (a, b, c, L) i ,w 1 ,w 2 ) And (4) calculating. Wherein L is i Is the width of the sub-porous material i in the horizontal direction, w 1 And w 2 Is the length of the porous material in the vertical and horizontal directions.
(50) And (3) determining the structural strength: and calculating the structural strength of the porous material according to the strengthening coefficient and the yield stress of the raw materials.
The step (50) of determining the structural strength is to calculate the structural strength of the porous material according to the following formula:
wherein the content of the first and second substances,
is the strength of a uniform porous material having the same size and overall relative density as the gradient porous material of the present invention.
Claims (9)
1. The utility model provides a high strength porous material energy-absorbing device, includes backup pad (2), motion board (1) to and upper end and backup pad (2) link to each other, porous material (3) that the lower extreme links to each other with motion board (1), porous material (3) are formed by the siphonozooid superpose that multirow level was placed, and each is arranged each siphonozooid (4) axis and is parallel to each other and be located the coplanar, and the next-door neighbour in proper order is placed, its characterized in that side by side:
in each row of tubular bodies (4), the structural size and the relative density of each tubular body (4) are symmetrically arranged relative to the central axis (5) of the porous material, and in each row of tubular bodies (4), the relative density difference exists between the adjacent tubular bodies (4) arranged along one side of the central axis (5);
the strength of the porous material (3) is determined as follows:
(10) calculating a relative density solution set: calculating a relative density solution set according to a theoretical model of the relative density of the gradient porous material;
(20) determining the relative density: determining the relative density of the porous material corresponding to the solution according to different solutions in the solution set of the relative density and the gradient coefficients corresponding to the solutions;
(30) and (3) calculating cell parameters: calculating the value of the gradient control parameter of the tubular body of the porous material according to the theoretical model of the relative density of the uniform porous material;
(40) and (3) strengthening coefficient calculation: calculating a strengthening coefficient according to the cell parameters and the corresponding structural parameters of the traditional uniform porous material with the same overall size and relative density;
(50) and (3) determining the structural strength: calculating the structural strength of the porous material according to the strengthening coefficient and the yield stress of the raw materials;
the step (10) of calculating the relative density solution set specifically includes calculating the relative density solution set according to the following formula:
where Δ ρ i Is the relative density, Δ ρ, of the ith sub-porous material H The overall relative density of the porous material is defined, and A, B and C form a constraint matrix, wherein A is a density constraint matrix, B is a symmetric constraint matrix, and C is a gradient constraint matrix; wherein
Wherein n is the number of sub-porous materials, int () represents rounding down, up () represents rounding up; when the column number of B is odd, it has a column of 0 vector in the center; when the number of columns of C is equal to or less than 4, it does not exist.
2. An energy absorber device according to claim 1 wherein:
in each row of tubular bodies (4), the relative density difference between adjacent tubular bodies (4) arranged along one side of the central axis (5) is a constant value.
3. An energy absorber device according to claim 2 wherein:
the central axes (5) of the rows are located on the same plane.
4. An energy absorber device according to claim 2 wherein:
the section of the tubular body (4) is in any periodic structural shape, including regular hexagon, circle or square.
5. A method for determining the strength of a high-strength porous material is characterized by comprising the following steps:
(10) calculating a relative density solution set: calculating a relative density solution set according to a theoretical model of the relative density of the gradient porous material;
(20) determining the relative density: determining the relative density of the porous material corresponding to the solution according to different solutions in the solution set of the relative density and the gradient coefficients corresponding to the solutions;
(30) and (3) calculating cell parameters: calculating the value of the gradient control parameter of the tubular body of the porous material according to the theoretical model of the relative density of the uniform porous material;
(40) and (3) strengthening coefficient calculation: calculating a strengthening coefficient according to the cell parameters and the corresponding structural parameters of the traditional uniform porous material with the same overall size and relative density;
(50) and (3) determining the structural strength: calculating the structural strength of the porous material according to the strengthening coefficient and the yield stress of the raw materials;
the step (10) of calculating the relative density solution set specifically includes calculating the relative density solution set according to the following formula:
where Δ ρ i Is the relative density, Δ ρ, of the ith sub-porous material H The overall relative density of the porous material is defined, and A, B and C form a constraint matrix, wherein A is a density constraint matrix, B is a symmetric constraint matrix, and C is a gradient constraint matrix; wherein
Wherein n is the number of sub-porous materials, int () represents rounding down, up () represents rounding up; when the column number of B is odd, it has a column of 0 vector in the center; when the number of columns of C is 4 or less, it does not exist.
6. The method for determining strength of porous material according to claim 5, wherein the step (20) of determining relative density is to find a corresponding solution of relative density of porous material in the solution set after determining gradient coefficient of porous material according to the following formula:
7. the method for determining strength of porous material according to claim 6, wherein the cell parameter calculating step (30) comprises: the value of the gradient control parameter of the tubular body of porous material is determined by the theoretical model of the relative density of homogeneous porous material i And f (a, b, c) is obtained by inverse solution, wherein a, b and c are structural parameters of the porous material cell.
8. The method for determining strength of a porous material according to claim 7, wherein the step of (40) calculating the reinforcement factor is: the enhancement factor is represented by the formula xi ═ g (a, b, c, L) i ,w 1 ,w 2 ) Calculating to obtain; wherein L is i Is the width of the sub-porous material i in the horizontal direction, w 1 And w 2 Is the length of the porous material in the vertical and horizontal directions.
9. The method for determining strength of a porous material according to claim 8, wherein the step (50) of determining structural strength is to calculate the structural strength of the porous material according to the following formula:
wherein the content of the first and second substances,
is the strength of a uniform porous material having the same dimensions and overall relative density as the gradient porous material.
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| US7195638B1 (en) * | 2002-12-30 | 2007-03-27 | Advanced Cardiovascular Systems, Inc. | Catheter balloon |
| CN102261415A (en) * | 2011-05-11 | 2011-11-30 | 北京交通大学 | Method for controlling energy absorbing capacity of gradient porous material |
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| US7195638B1 (en) * | 2002-12-30 | 2007-03-27 | Advanced Cardiovascular Systems, Inc. | Catheter balloon |
| CN102261415A (en) * | 2011-05-11 | 2011-11-30 | 北京交通大学 | Method for controlling energy absorbing capacity of gradient porous material |
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