CN114297812B - Design method of triangle lattice center input type face synchronous explosion-propagation network - Google Patents
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Abstract
The invention discloses a design method of a triangle lattice center input type face synchronous explosion propagation network, which comprises the following steps: and determining the design level number and the number of output points of the network, and designing a network line. All the output points are grouped according to a diamond shape, each smallest equilateral triangle lattice is subdivided into 4 smaller equilateral triangles with the same size, then the input points are connected with the vertexes of the adjacent small equilateral triangles according to the principle of a primary network structure of the grouping reference triangle lattice, and then output lines are connected to the output points along the edges of the small triangles, so that the lengths of the lines from the input points to the output points are equal, and the network design is completed. The invention has the advantages that: the explosion propagation circuit is simple, computer-aided design and manufacture are easy to realize, and the triangle lattice center input type face synchronous explosion propagation network serialization design can be realized; at most one charging line is arranged between any two adjacent output points, and more output points can be designed under the same appearance size.
Description
Technical Field
The invention relates to the technical field of explosion networks, in particular to a parameter calculation and line design method of a triangle lattice center input type face synchronous explosion transmission network.
Background
The central input type face synchronous explosion-propagating network is an explosion network with single-point input and multi-point synchronous output of detonation waves, and is mainly used for forming plane waves to detonate main charges or detonates independent shots in MEFP warheads, and the main index of the network is the output synchronism of the detonation waves. The face center synchronous explosion-propagation network has various technical approaches and design methods, such as design by adopting square lattice or triangular lattice. The square lattice synchronous explosion-propagation network is designed by taking a 'one-in four-out' synchronous explosion-propagation network as a basic unit, and is connected to an output end through an I-shaped network channel, and the literature has detailed reports. The method has the advantages of square network structure, simple design method, 90 degrees of all corners and higher detonation wave output synchronism. However, a disadvantage of this method is that the detonation wave converges to form a plane wave requiring a longer path. The detonation wave converging route of the plane synchronous detonating network adopting the triangular lattice is shorter than that of the square lattice, and plane waves can be formed by a shorter route, so that the plane synchronous detonating network is a preferable design scheme of the synchronous detonating network, the plane synchronous detonating network which is designed by the triangular lattice and is output by 27 points is researched by the current literature, but the detonation wave propagation route of the synchronous detonating network is not given, and a design method is not given.
Disclosure of Invention
Aiming at the problems that the number of triangle lattice plane synchronous explosion-propagation network stages is not uniformly defined and a systematic design method is lacking, the invention provides a design method of a triangle lattice center input type plane synchronous explosion-propagation network.
In order to achieve the above object, the present invention adopts the following technical scheme:
A design method of a triangle lattice center input type face synchronous explosion propagation network comprises the following steps:
S1, a calculation method of the triangle lattice plane synchronous explosion propagation network series N and the output point number N is provided;
s2, in the critical explosion propagation size of explosion propagation agent used in the known network and the minimum groove spacing delta min, the diameter of the output node After that, the minimum distance between two adjacent points of the triangular lattice is givenIs calculated by the method;
s3, comparing the calculated minimum diameter of the network corresponding to each level of network by calculating the distance a s,min between two adjacent output points of different levels of networks Determining the final design level N and the number N of output points of the network according to the size of the outer diameter phi s of the detonated charge;
s4, grouping all output points according to a rhombus shape, subdividing each minimum triangle lattice into 4 smaller equilateral triangles, connecting the input points with the vertexes of adjacent small equilateral triangles according to the principle of a primary network structure of grouping reference triangle lattices, and connecting output lines to all output ends along the edges of the small triangles so that the lengths of the lines from the input ends to the output ends are equal, thereby completing network design.
Further, the calculation method of S1 is as follows:
let a s denote the distance between adjacent output points of the triangle lattice plane synchronous explosion propagation network, and the number of output points in the longest line is n s, then n s should be even; if n s is an odd number, the network center cannot be set as an input point;
The center input type face synchronous explosion propagation network formed by triangular lattice comprises the following stages:
the number of points that triangle lattice center input type face synchronization booster network can be arranged is:
Ns＝3n2 (2)
The length of the longest line of the triangle lattice center input type face synchronous explosion propagation network is
Ls＝(ns-1)as (3)
The maximum circumscribed circle diameter of a hexagon composed of a triangular lattice is expressed as:
the diameter of the circumscribed circle is the maximum charge diameter which can be initiated by the surface synchronous explosion propagation network.
Further, the calculation method of S2 is as follows:
For a level 1 network, N s = 3, the minimum distance between two adjacent output points:
Where δ=kδ min, k is the margin coefficient, δ min is the trench minimum pitch, Diameter of the charge for the output (input) node;
For a network of level 2 and above, to ensure that the grooves do not interfere with each other, in principle, the groove density between two adjacent output points is 1, that is, the maximum number of grooves between two adjacent output points is 1, and the minimum distance between two adjacent output points should satisfy the following formula when the groove distance under the density is used as the minimum groove distance of the network design:
further, the S3 specifically includes:
when the network diameter phi s and the diameter of the output node are When the minimum groove distance delta min is known, calculating the designable minimum distance a s,min between two adjacent output points of the level 1 and level 2 explosive networks and above according to the formula (5) and the formula (6), and calculating the minimum network diameters corresponding to the networks with different levels according to the formula (4); for a level 1 network,When the network minimum diameter isFor a level 2 and above network,The minimum diameter of the level 2 network isThe minimum diameter of the 3-level network isMinimum diameter of 4-level network isThe minimum diameter of the n-level network isIf the network diameter is givenA triangle lattice plane synchronous explosion propagation network cannot be designed; if it isThen a level 1 network is designed; if it isThen a level 2 network is designed; if it isDesigning a 3-level network; if it isThen a level 4 network is designed, and so on;
Determination of the longest line output point number n s: and selecting a corresponding calculation formula of a s,min according to the series range, and calculating the maximum value of the number of the longest line output points according to formula (3).
For a level 1 network, n s,max = 2; for more than 2 levels of networks:
Typically n s,max is not a positive integer, so n s assumes a maximum even value no greater than n s,max, i.e
ns＝2×[ns,max/2] (8)
Determination of the distance a s between two adjacent points: from phi s and n s, obtained from (4)For the convenience of design and calculation, a s is an integer; after rounding, a s needs to be verified, and if a s is smaller than a s,min of the corresponding series range, rounding cannot be performed.
The network progression N is calculated according to the formula (1), and the maximum output point number N s of the network is calculated according to the formula (2). According to phi s、ns and a s, the design of the face synchronous explosion propagation network can be carried out by combining the designed output point number, network structure principle and output end size.
Further, the line connection mode from the input point to the output point of the network in S4 is as follows:
the 1-level network is simple in structure, only the central input point of the triangle is connected with three output points through the explosion propagation line, but for the synchronous explosion propagation network with more than 2 levels, the network structure becomes more complex along with the increase of the network level, the wiring arrangement is more difficult, and the following regular line connection mode is needed to be adopted in order to ensure that the distances from the input points to the output points are the same.
(A) Firstly, decomposing all the smallest equilateral triangle lattices composed of 3n 2 output points of a face synchronous booster network one by one, and subdividing each equilateral triangle lattice into 4 small equilateral triangles with the same size; (b) Secondly, grouping all the detonating points, and equally dividing 3n 2 detonating points into three groups according to the diamond appearance, wherein each group comprises n 2 detonating points; (c) Then, referring to the principle of the primary network structure of the triangle lattice, connecting the input points with the vertexes of the adjacent small equilateral triangles; then, connecting output lines to each output point along the edges of the small triangle according to the diamond grouping design principle, so that the lengths of the lines from the input points to the output points are equal;
(d) And finally, respectively rotating the group of explosion lines by 120 degrees and 240 degrees to finish the design of the face synchronous explosion transmission network.
Compared with the prior art, the invention has the advantages that:
(1) The length of the lines from the input point to the output point of the triangular lattice face synchronous explosion propagation network is equal, the explosion propagation lines are concise, the computer aided design and manufacture are easy to realize, and the design serialization of the triangular lattice center input face synchronous explosion propagation network can be realized;
(2) The design method of the triangle lattice center input type face synchronous explosion propagation network provided by the invention has the advantages that at most one charge line is arranged between any two adjacent output points, and compared with the design method of two charge lines between two output points, the design method provided by the invention can design more output points under the same appearance size, thereby being beneficial to expanding the application range of the network.
Drawings
Fig. 1 is a schematic diagram of a level 1 network circuit structure in embodiment 1 of the present invention;
Fig. 2 is a schematic diagram of a 2-level network circuit structure in embodiment 1 of the present invention;
FIG. 3 is a diagram of a level 2 booster network subdivision triangular array in example 1 of the present invention;
FIG. 4 is a diagram of a class 2 network output point three-equal diamond grouping scheme in example 1 of the present invention;
FIG. 5 is a schematic diagram of a 2-stage network "diamond" packet line connection in embodiment 1 of the present invention;
FIG. 6 is a diagram of a three-equal diamond grouping scheme for output points of the 3-level network in example 2 of the present invention;
FIG. 7 is a schematic diagram of a "diamond" packet line connection for a level 3 network in example 2 of the present invention;
FIG. 8 is a diagram of a three-equal diamond grouping scheme for output points of a level 4 network in example 3 of the present invention;
FIG. 9 is a schematic diagram of a "diamond" packet line connection for a level 4 network in accordance with example 3 of the present invention;
Fig. 10 is a schematic diagram of the general circuit connection of the level 4 network in embodiment 3 of the present invention;
FIG. 11 is a diagram of a three-equal diamond grouping scheme for output points of a 5-level network in example 4 of the present invention;
FIG. 12 is a schematic diagram of a "diamond" packet line connection for a level 5 network in accordance with example 4 of the present invention;
fig. 13 is a schematic diagram of the general circuit connection of the 5-level network in embodiment 4 of the present invention.
Detailed Description
The invention will be described in further detail below with reference to the accompanying drawings and by way of examples in order to make the objects, technical solutions and advantages of the invention more apparent.
Example 1:
A design method of a triangle lattice center input type face synchronous explosion propagation network. The method is characterized in that given the outer diameter of the detonated charge, the critical detonating size of the detonating charge for the network and the minimum groove spacing delta min, the calculation method of the detonating network series n and the output point number n s and the arrangement method of the detonating network charge lines are given, and the design method is as follows:
1) Method for calculating number N of booster network stages and number N of output points
Let a s denote the distance between adjacent output points of the triangle lattice plane synchronous explosion propagation network, and the number of output points in the longest line is n s, then n s should be even; if n s is an odd number, the center point cannot be set as the input point.
The plane center synchronous explosion propagation network formed by the triangular lattice comprises the following stages:
the number of points that triangle lattice plane center synchronous booster network can be arranged is:
Ns＝3n2 (2)
the length of the longest line of the triangle lattice plane center synchronous explosion propagation network is
Ls＝(ns-1)as (3)
The maximum circumscribed circle diameter of a hexagon composed of a triangular lattice can be expressed as:
the diameter of the circumscribed circle is the maximum charge diameter which can be initiated by the surface synchronous explosion propagation network.
2) Minimum distance between two adjacent points of triangle latticeIs calculated by the method of (a)
For a level 1 network, N s = 3, the minimum distance between two adjacent output points:
Where δ=kδ min, k is the margin coefficient, δ min is the trench minimum pitch, Diameter of the charge for the output (input) node. As shown in fig. 1, the line length between the input point and the output point of the level 1 network is:
As shown in fig. 2, for a network with more than 2 levels, in order to ensure that the grooves do not interfere with each other, in principle, the density of grooves between two adjacent output points is 1, that is, at most 1 groove between two adjacent output points, and the minimum distance between two adjacent output points should satisfy the following formula when the groove spacing under the density is used as the minimum groove spacing of the network design:
3) Calculation of the number of stages of an explosion propagation network
When the network diameter phi s and the diameter of the output node areWhen the minimum groove distance delta min is known, calculating the designable minimum distance a s,min between two adjacent output points of the level 1 and level 2 explosive networks and above according to the formula (5) and the formula (6), and calculating the minimum network diameters corresponding to the networks with different levels according to the formula (4); for a level 1 network,When the network minimum diameter isFor a level 2 and above network,The minimum diameter of the level 2 network isThe minimum diameter of the 3-level network isMinimum diameter of 4-level network isIf the network diameter is givenA triangle lattice plane synchronous explosion propagation network cannot be designed; if it isThen a level 1 network is designed; if it isThen a level 2 network is designed; if it isDesigning a 3-level network; if it isA level 4 network is designed and so on.
4) Determination of the longest line output Point number n s
And selecting a corresponding calculation formula of a s,min according to the series range, and calculating the maximum value of the number of the longest line output points according to formula (3). For a level 1 network, n s,max = 2; for more than 2 levels of networks:
Typically n s,max is not a positive integer, so n s assumes a maximum even value no greater than n s,max, i.e
ns＝2×[ns,max/2] (8)
5) Determination of the distance a s between two adjacent points
From phi s and n s, is obtainable by formula (4)For convenience in design and calculation, a s is generally an integer. After rounding, a s needs to be verified, and if a s is smaller than a s,min of the corresponding progression range, rounding cannot be performed.
The number of network stages N is calculated according to the formula (1), and the number of maximum output points N s of the network can be calculated according to the formula (2). According to phi s、ns and a s, the design of the face synchronous explosion propagation network can be carried out by combining the designed output point number, network structure principle and output end size.
6) Line connection mode between input point and output point of network
The 1-level network is simple in structure and can be connected with three output points through explosion propagation lines, but for the synchronous explosion propagation network with more than 2 levels, the network structure becomes complicated along with the increase of the network level, wiring arrangement is more difficult, and the following regular line connection mode is needed to be adopted in order to ensure that the distances from the input points to the output points are the same.
(A) Firstly, decomposing all the smallest equilateral triangle lattices composed of 3n 2 output points of a face synchronous booster network one by one, and subdividing each equilateral triangle lattice into 4 small equilateral triangles with the same size; (b) Grouping all the detonating points, and equally dividing 3n 2 detonating points into three groups according to the diamond appearance, wherein n 2 detonating points in each group; (c) Then, referring to the principle of the primary network structure of the triangle lattice, connecting the input points with the vertexes of the adjacent small equilateral triangles; then, connecting output lines to each output point along the edges of the small triangle according to the diamond grouping design principle, so that the lengths of the lines from the input point end to the output point end are equal;
(d) And finally, respectively rotating the group of explosion lines by 120 degrees and 240 degrees to finish the design of the face synchronous explosion transmission network.
Firstly, calculating a designable minimum distance a s,min between two adjacent output points corresponding to 1-6-level networks according to given parameters, and then calculating the minimum network diameters corresponding to different-level networksBy comparing network diametersAnd minimum network diameterAnd determining the final design progression of the network and the number of output points.
In the triangle lattice grouping, firstly, all output points are equally divided into three groups according to a rhombic grouping scheme, each group of n 2 points, each triangle lattice is subdivided into 4 small triangles with the same size, then, according to the principle of the primary network structure of the grouping reference triangle lattice, input points are connected with the vertexes of adjacent small equilateral triangles, and then, output lines are connected to the output points along the edges of the small triangles, so that the lengths of the lines from the input points to the output points are equal.
The embodiment provides a design method of a 'one-in twelve-out' face synchronous explosion propagation network, which can realize that the lengths of lines from an input point I to each output point are equal.
The synchronous explosion-propagation network of the 'one-in twelve-out' face is a 2-level synchronous explosion-propagation network, and firstly, 13 equilateral triangle lattices composed of 12 output points are subdivided into 52 small equilateral triangle arrays with the same size, as shown in figure 3. The network is subdivided by using small equilateral triangles, and then 12 output points are grouped according to a trisection principle. In order to design a 12-point output face synchronous explosion-propagation network through rotationally symmetrical superposition combination of 4 output points of each group, the design scheme is divided into rhombus-shaped groups, as shown in fig. 4.
After grouping is completed, the input point I is connected with the vertex A of the small equilateral triangle; and then connecting the explosion propagation line along the vertex of the small equilateral triangle, connecting A with B, connecting B with O 1、O2、O3、O4 along the small equilateral triangle, and finally forming the IABO 1、IABO2、IABO3、IABO4 explosion propagation line. From the layout of fig. 5 (a), the lengths of the lines from the input point I to the four output points are also identical and the paths are the shortest. The 12-point output-face synchronous explosion-propagation network is obtained by rotating the first-in and fourth-out modules by 120 degrees and 240 degrees respectively, as shown in fig. 5 (b).
Example 2:
The embodiment provides a design method of a synchronous explosion propagation network of a 'one-in twenty-seven-out' plane, which can realize that the lengths of lines from an input point I to each output point are equal.
The synchronous explosion-propagation network of the 'one-in twenty-seven-out' face is a 3-level synchronous explosion-propagation network, and firstly, 37 equilateral triangle lattices formed by 27 output points are subdivided into 148 small equilateral triangle arrays with the same size. The network is subdivided by using small equilateral triangles, and then 27 output points are grouped according to a trisection principle. In order to design a 27-point synchronous explosion-propagation network through rotationally symmetrical superposition combination of 9 output points of each group, the design scheme is divided into rhombus-shaped groups, as shown in fig. 6.
After grouping, firstly connecting the input point I with the vertex A 1 of the small equilateral triangle, then connecting the input point I with the vertex B 1、B2 of the small equilateral triangle, connecting one way of turning with C 1 to form an IA 1B2C1O1、IA1B2C1O9 explosion transmission line, Realizing O 1、O9 detonation output; the other path is connected with C 2 to form an IA 1B2C2O2、IA1B2C2O3 detonation transmission line so as to realize O 2、O3 detonation output; Meanwhile, the explosion propagation line turning connected with B 1 is connected with B 3 and then is respectively connected with C 3、C4 to form IA1B1B3C3O6、IA1B1B3C3O7、IA1B1B3C4O4、IA1B1B3C4O8 explosion propagation line, Realizing O 4、O6、O7、O8 detonation output. Meanwhile, the I is connected with the other point A 2 and then connected with the C 5 to form an IA 2C5O5 explosion propagation circuit, so that O 5 output is realized. From the wiring layout of fig. 7 (a), the wiring length of the line from the input point I to 9 output points is the same, and the number of corners of each output point is the same except for the O 2、O3 and O 5 points. The 27-output synchronous detonation network is obtained by rotating the one-in-nine-out modules by 120 degrees and 240 degrees respectively, as shown in fig. 7 (b).
Example 3:
the embodiment provides a design method of a 'one-in forty eight-out' face synchronous explosion propagation network, which can realize that the lengths of lines from an input point I to each output point are equal.
The 'one-in forty-eight-out' face synchronous explosion-propagation network is a 4-level synchronous explosion-propagation network, and 73 equilateral triangle lattices composed of 48 output points are subdivided into 292 small equilateral triangle arrays with the same size. The network is subdivided by using small equilateral triangles, and then 48 output points are grouped according to a trisection principle. In order to design a 48-point synchronous explosion-propagation network through rotationally symmetrical superposition combination of 16 output points of each group, the design scheme is divided into rhombus-shaped groups, as shown in fig. 8.
After grouping is completed, the input point I is connected with the vertex A of the small equilateral triangle; connecting the explosion propagation line along the top of the small equilateral triangle, connecting A with C, T 1, and finally respectively connecting to O 1、O2、O3、O4 to finally form an IACT 1O1、IACT1O2、IACT1O3、IACT1O4 explosion propagation line; connecting A with C, T and finally respectively connecting to O 5、O6、O7、O8 to finally form an IACT 2O5、IACT2O6、IACT2O7、IACT2O8 explosion propagation line; connecting A with C, T and finally respectively connecting to O 9、O10、O11、O12 to finally form an IACT 3O9、IACT3O10、IACT3O11、IACT3O12 explosion propagation line; and connecting A with C, T 4, and finally respectively connecting to O 13、O14、O15、O16 to finally form an IACT 4O13、IACT4O14、IACT4O15、IACT4O16 explosion propagation line. From the line layout of fig. 9, the line length from the input point I to the output point is also identical, and the length of the output line can be calculated by the side length of the small equilateral triangle. The diamond-shaped module is respectively rotated by 120 degrees and 240 degrees to obtain a 48-point output synchronous explosion propagation network, as shown in figure 10.
Example 4:
The embodiment provides a design method of a 'one-in seventy-five-out' face synchronous explosion-propagation network, which can realize that the lengths of lines from an input point I to each output point are equal.
The synchronous explosion-propagation network of the first-in seventy-five-out surface is a 5-level synchronous explosion-propagation network, and each of the smallest equilateral triangle lattice formed by 75 output points is subdivided into 4 small equilateral triangles with the same size to form a small equilateral triangle array. The network is subdivided by using small equilateral triangles, and then 75 output points are grouped according to a trisection principle. In order to design 75-point-surface synchronous explosion-propagation network through rotationally symmetrical superposition combination of 25 output points of each group, the design scheme is divided into rhombus-shaped groups, as shown in fig. 11.
After grouping is completed, the input point I is connected with the vertex A of the small equilateral triangle; connecting the explosion propagation line along the top of the small equilateral triangle, connecting A with C 1、T1, and finally respectively connecting to O 1、O2、O3、O4 to finally form a IAC1T1O1、IAC1T1O2、IAC1T1O3、IAC1T1O4 explosion propagation line; connecting A with C 1、C2、T3, and connecting with O 11、O12、O13、O14 respectively to form IAC1C2T3O11、IAC1C2T3O12、IAC1C2T3O13、IAC1C2T3O14 explosion propagation circuit; connecting A with C 1、T2, and connecting with O 5、O6、O7、O8 respectively to form IAC1T2O5、IAC1T2O6、IAC1T2O7、IAC1T2O8 explosion propagation circuit; connecting A with C 1、C2、T4, and connecting with O 15、O16、O17、O18 respectively to form IAC1C2T4O15、IAC1C2T4O16、IAC1C2T4O17、IAC1C2T4O18 explosion propagation circuit; connecting A with C 1、T5, and connecting to O 9、O10、O19 respectively to form IAC 1T5O9、IAC1T5O10、IAC1T5O19 explosion propagation circuit; and connecting A with C 1、C2、T7, and finally connecting the A with O 21、O22 respectively to finally form an IAC 1C2T7O21、IAC1C2T7O22 explosion propagation line.
In addition, the input point I is connected with the vertex B of the small equilateral triangle, then the explosion propagation line is connected along the vertex of the small equilateral triangle, the input point B is connected with the T 6, and finally the input point B is respectively connected with the O 20、O24、O25 to form the IBT 6O20、IBT6O24、IBT6O25 explosion propagation line.
From the line layout of fig. 12, the line length from the input point I to all the output points is identical, and the length of the output line can be calculated by the side length of the small equilateral triangle. The 75-point output face synchronous explosion propagation network is obtained by rotating the one-in twenty-five-out module by 120 degrees and 240 degrees respectively, as shown in fig. 13.
Those of ordinary skill in the art will appreciate that the embodiments described herein are intended to aid the reader in understanding the practice of the invention and that the scope of the invention is not limited to such specific statements and embodiments. Those of ordinary skill in the art can make various other specific modifications and combinations from the teachings of the present disclosure without departing from the spirit thereof, and such modifications and combinations remain within the scope of the present disclosure.
Claims (2)
1. The design method of the triangle lattice center input type face synchronous explosion propagation network is characterized by comprising the following steps of:
S1, a calculation method of the triangle lattice plane synchronous explosion propagation network series N and the output point number N is provided;
The calculation method comprises the following steps:
let a s denote the distance between adjacent output points of the triangle lattice plane synchronous explosion propagation network, and the number of output points in the longest line is n s, then n s should be even; if n s is an odd number, the network center cannot be set as an input point;
The center input type face synchronous explosion propagation network formed by triangular lattice comprises the following stages:
the number of points that triangle lattice center input type face synchronization booster network can be arranged is:
Ns＝3n2 (2)
The length of the longest line of the triangle lattice center input type face synchronous explosion propagation network is
Ls＝(ns-1)as (3)
The maximum circumscribed circle diameter of a hexagon composed of a triangular lattice is expressed as:
the diameter of the circumscribed circle is the maximum charge diameter which can be initiated by the surface synchronous explosion propagation network;
S2, the critical explosion propagation size of the explosion propagation agent for the known network and the minimum groove spacing delta min, and the diameter of an output node After that, the minimum distance between two adjacent points of the triangular lattice is givenIs calculated by the method;
The calculation method comprises the following steps:
For a level 1 network, N s = 3, the minimum distance between two adjacent output points:
Where δ=kδ min, k is the margin coefficient, δ min is the trench minimum pitch, Diameter of the charge for the output or input node;
For a network of level 2 and above, to ensure that the grooves do not interfere with each other, in principle, the groove density between two adjacent output points is 1, that is, the maximum number of grooves between two adjacent output points is 1, and the minimum distance between two adjacent output points should satisfy the following formula when the groove distance under the density is used as the minimum groove distance of the network design:
s3, comparing the calculated minimum diameter of the network corresponding to each level of network by calculating the distance a s,min between two adjacent output points of different levels of networks Determining the final design level N and the number N of output points of the network according to the size of the outer diameter phi s of the detonated charge;
The method comprises the following steps:
when the network diameter phi s and the diameter of the output node are When the minimum groove distance delta min is known, calculating the designable minimum distance a s,min between two adjacent output points of the level 1 and level 2 explosive networks and above according to the formula (5) and the formula (6), and calculating the minimum network diameters corresponding to the networks with different levels according to the formula (4); for a level 1 network,When the network minimum diameter isFor a level 2 and above network,The minimum diameter of the level 2 network isThe minimum diameter of the 3-level network isMinimum diameter of 4-level network isThe minimum diameter of the n-level network isIf the network diameter is givenA triangle lattice plane synchronous explosion propagation network cannot be designed; if it isThen a level 1 network is designed; if it isThen a level 2 network is designed; if it isDesigning a 3-level network; if it isThen a level 4 network is designed, and so on;
Determination of the longest line output point number n s: selecting a corresponding calculation formula of a s,min according to the series range, and calculating the maximum value of the number of the longest line output points according to formula (3);
for a level 1 network, n s,max = 2; for more than 2 levels of networks:
n s,max is not a positive integer, so n s assumes a maximum even value no greater than n s,max, i.e
ns＝2×[ns,max/2] (8)
Determination of the distance a s between two adjacent points: from phi s and n s, obtained from (4)For the convenience of design and calculation, a s is an integer; after rounding, a s needs to be verified, if a s is smaller than a s,min of the corresponding series range, rounding cannot be performed;
s4, grouping all output points according to a rhombus shape, subdividing each minimum triangle lattice into 4 smaller equilateral triangles, connecting the input points with the vertexes of adjacent small equilateral triangles according to the principle of a primary network structure of grouping reference triangle lattices, and connecting output lines to all output ends along the edges of the small triangles so that the lengths of the lines from the input ends to the output ends are equal, thereby completing network design.
2. The design method of the triangle lattice center input type face synchronous explosion propagation network according to claim 1, which is characterized in that: the network in the S4 is connected from an input point to an output point in the following way:
The 1-level network only needs to connect the central input point and three output points of the triangle through the explosion propagation line, but for the synchronous explosion propagation network with more than 2 levels, the following regular line connection mode is adopted:
(a) Firstly, decomposing all the smallest equilateral triangle lattices composed of 3n 2 output points of a synchronous booster network one by one, and subdividing each equilateral triangle lattice into 4 small equilateral triangles with the same size;
(b) Secondly, grouping all the detonating points, and equally dividing 3n 2 detonating points into three groups according to the diamond appearance, wherein each group comprises n 2 detonating points;
(c) Then, referring to the principle of the primary network structure of the triangle lattice, connecting the input points with the vertexes of the adjacent small equilateral triangles; then, connecting output lines to each output point along the edges of the small triangle according to the diamond grouping design principle, so that the lengths of the lines from the input points to the output points are equal;
(d) And finally, respectively rotating the group of explosion lines by 120 degrees and 240 degrees to finish the design of the face synchronous explosion transmission network.
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