A warhead containing pre-controlled fragments with internal spatial topology and its modeling method
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-04-22
- Publication Date
- 2026-08-14
AI Technical Summary
现有的预控破片战斗部产生的破片形态通常为方形,在相同质量下,方形破片的速度衰减系数更高,更容易在运动的过程中失去动能
[0030]本发明的内含空间拓扑结构预控破片的战斗部及其建模方法,包括战斗部主体和预制破片,本发明解决了预控破片类型战斗部破片形貌特征不佳的问题,传统的预控破片战斗部产生的破片一般为方形壳体,方形壳体破片的存速和侵彻效果都有所不足。本发明是一种内含了破片单元的壳体,其中的破片单元具有可以在三维空间内密铺的拓扑学特征,以确保材料和空间可以得到最大限度的利用。破片与破片之间存在缝隙以保证破片可以在战斗部工作时顺利分离,同时,破片与破片之间可以通过包括但不限于细杆或薄壁结构实现相互连接,以确保战斗部具有良好的整体强度。
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Figure CN118209005B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of fragmentation warhead technology, and in particular to a warhead containing pre-controlled fragments with an internal spatial topology structure and its modeling method. Background Technology
[0002] Currently, the mainstream fragmentation warheads are mainly of two types: pre-fragmented warheads and pre-controlled fragmentation warheads. Pre-fragmented warheads are usually assembled from multiple parts such as a shell, pre-fragmented fragments, and an inner liner.
[0003] Pre-fragmented warheads consist of pre-formed fragments embedded in a base material or bonded to an inner liner outside the explosive charge. The fragments used in pre-fragmented warheads are all pre-manufactured, allowing them to be made into various shapes such as square, spherical, and cylindrical. By selecting appropriate shapes, these pre-formed fragments can effectively reduce energy loss during movement, increasing their velocity retention and facilitating better penetration of the target, thus improving the warhead's kill radius and effectiveness. For pre-fragmented warheads, since the fragments are pre-made, they need to be installed into the warhead in subsequent processes. To ensure good destructive power and standardize warheads of the same type, the pre-fragmented fragments should ideally be arranged closely and orderly during combat. Therefore, the pre-fragmented fragments and the warhead need to be fixed and connected by other parts such as bushings. Consequently, pre-fragmented warheads have the disadvantages of a large number of parts and complex assembly processes. Secondly, for ammunition used in artillery of a certain caliber, its maximum diameter is fixed, indicating that the space available for the warhead is limited and cannot be arbitrarily expanded. For ammunition, the larger the volume of the propellant charge, the higher the propellant charge and the greater the destructive power. From these facts, we can deduce that the components of an ideal warhead should be compactly arranged. However, existing pre-fragmented warheads have complex structures; the fragments are not tightly connected to each other, nor are they tightly connected to the bushings, leaving some space, usually filled with materials such as resin, making it impossible to achieve the ideal compactness. Therefore, pre-fragmented warheads have the disadvantage of low space utilization efficiency.
[0004] Pre-controlled fragmentation warheads rely on shell failure to generate fragments. The surface of a pre-controlled fragmentation warhead is grooved. When the warhead deploys, the shell in the grooved section fails first, causing the shell to disintegrate into several relatively regular fragments, thus damaging the target. Pre-controlled fragmentation warheads have fewer parts and fewer assembly steps, which is conducive to mass production. For pre-controlled fragmentation warheads, the fragments originate from the shell. To make the fragments generated by the shell disintegration more regular and controllable, a series of defects need to be constructed on the shell. Existing pre-controlled fragmentation warheads have grooves of a predetermined shape engraved on the surface of the warhead shell, artificially creating areas of weak stress concentration. This makes the shape of the resulting fragments close to or consistent with the shape of the pre-engraved grooves, thus effectively controlling the number, shape, and size of the fragments. In traditional subtractive machining methods, only the surface of the warhead can be machined; it is impossible to create defects inside the warhead. After gaining initial velocity, the fragments gradually decrease in velocity due to air resistance. When the fragment mass is constant, the velocity decay coefficient of fragments with different morphologies is mainly affected by the frontal area and the air drag coefficient. Existing pre-controlled fragmentation warheads typically produce square fragments. For the same mass, square fragments have a higher velocity decay coefficient and are more prone to losing kinetic energy during flight. Furthermore, square fragments are also less effective at penetrating the air. Therefore, existing pre-controlled fragmentation warheads suffer from poor fragment morphology. Summary of the Invention
[0005] The purpose of this invention is to provide a warhead containing pre-controlled fragments with a spatial topological structure and a modeling method thereof, to solve the problems existing in the prior art. It is a shell containing fragment units, wherein the fragment units have topological features that can be densely packed in three-dimensional space, ensuring maximum utilization of materials and space. Gaps exist between the fragments to ensure smooth separation of the fragments during warhead operation. Simultaneously, the fragments can be interconnected through structures including, but not limited to, thin rods or thin-walled structures to ensure good overall strength of the warhead.
[0006] To achieve the above objectives, the present invention provides the following solution: The present invention provides a warhead containing pre-formed fragments with a spatial topology structure, comprising...
[0007] The warhead body, wherein one or more pre-formed fragments are arranged within the shell of the warhead body; and
[0008] The pre-formed fragments are formed by multiple fragment units with the same structure and closely connected, and adjacent fragment units are connected by a connecting structure; the pre-formed fragments formed by the multiple fragment units are evenly arranged in the shell of the main body of the warhead.
[0009] Preferably, the fragment unit adopts a truncated octahedral structure, that is, each corner of the octahedron is truncated at the same angle to obtain a truncated plane with the same cross section.
[0010] Preferably, the connection structure is a thin-walled structure, and one or more curves are selected on the connection surface of the fragment unit. The curves on the connection surface of the fragment unit are translated along the path to form a thin-walled structure of curved surfaces connecting two adjacent surfaces.
[0011] Preferably, the connection structure is a thin-walled structure, and the connection is made by establishing a thin-walled structure at the adjacent edge endpoints of adjacent surfaces of adjacent fragment units.
[0012] Preferably, the connecting structure is a thin rod, and several points are selected on the connecting surface of the fragment unit. Each point is translated along a path to form a thin rod connecting two adjacent surfaces.
[0013] Preferably, the inner and outer surfaces of the warhead body are both cylindrical, and pre-formed fragments are disposed between the inner and outer surfaces of the warhead body.
[0014] This invention also provides a modeling method for a warhead containing pre-formed fragments with an internal spatial topology, applicable to the aforementioned warhead containing pre-formed fragments with an internal spatial topology, comprising the following steps:
[0015] Step 1: Determine the warhead's shape, expected fragment mass, and selected materials. The warhead's shape includes the morphology of its outer surface, inner surface, and connecting parts.
[0016] Step 2: Determine the selected topology. Choose a truncated octahedron as the fragment unit. The volume V of the truncated octahedron is related to the side length a as follows:
[0017]
[0018] Based on the density ρ of the selected material, the relationship between the fragment mass m and the side length a of the fragment unit can be obtained:
[0019]
[0020] Based on this relationship, the predicted side length a0 can be obtained from the expected fragment mass, and the layer height h0 of the fragment layer and the length l0 occupied by the fragment in the circumferential direction can be further calculated; h0 = 2a0,
[0021] Step 3: Based on the morphology of the inner and outer surfaces determined in Step 1, select a cross-section of the warhead. First, calculate the perimeter of the centerline of the cross-section profile. Divide the perimeter by l0 and round the quotient to obtain the number of fragment units n1 in the circumferential direction. Then, divide the perimeter by n1 to obtain the length l1 occupied by the fragment in the circumferential direction. Then, adjust the side length and layer height according to l1 to obtain a1 and h1. Next, calculate the width of the cross-section profile. Divide the width of the profile by the adjusted value h1 of the fragment layer height. If the quotient is not an integer, round the quotient down. If the quotient is an integer, subtract one from the quotient. The integer obtained is the number of layers n2 in the radial direction of the fragment.
[0022] The warhead has regular cylindrical surfaces on both its inner and outer surfaces. The outer surface diameter is D, the inner surface diameter is d, and the width between the inner and outer surfaces is (Dd) / 2. The perimeter of the centerline of the warhead's cross-sectional profile is... The correction value for the cell side length is The correction value for the layer height is h1 = 2a1, and the number of fragment layers in the radial direction is:
[0023]
[0024] Step 4: Taking the center of the fragment unit as the origin, find the set of coordinates P0 of each vertex, and then find the plane equation Anx+Bny+Cnz+Dn=0 for each plane; Since there should be a gap δ between the fragment units, the value of δ is selected according to the processing capacity of the equipment. Establish parallel planes Anx+Bny+Cnz+Dn'=0 for each face inside the original unit, so that the distance between the new plane and the original plane is δ. Solve the equations of the three adjacent new planes to find the coordinates of their intersection point, and obtain the corrected set of coordinates of each vertex P1={(x1,y1,z1),(x2,y2,z2)…(xn,yn,zn)};
[0025] Step 5: Create a cuboid region with a length of C equal to the perimeter of the contour centerline along the x-axis and a length equal to the width of the contour along the y-axis. Based on the parameters determined in Step 3, calculate the coordinates of the center of each fragment unit within this cuboid region, denoted as P2.
[0026] First, determine the coordinates of the first point in P2: Move each point of the fragment unit until the x-coordinates of all vertices of the fragment unit are non-negative, and record the x-coordinate and z-coordinate of the center of the fragment unit at this point; since there are n2 layers of fragment units in the radial direction, the y-coordinate of the point is the width of the profile. Then, based on geometric rules, the remaining points are calculated. By adding the coordinates of each point in point set P1 and the points in point P2, the coordinate point set P3 of each vertex on each fragment unit in the same space can be obtained.
[0027] Step Six: Add connection structures;
[0028] Step 7: Coordinate transformation. Map the designed structure to the space between the expected inner and outer surfaces of the warhead. Select a plane along the axis as the starting surface of this space, and map each point of the coordinate point set P1, P2 and P3 to the space between the inner and outer surfaces one by one; complete the modeling of the warhead.
[0029] The present invention achieves the following beneficial technical effects compared to the prior art:
[0030] This invention relates to a warhead containing pre-controlled fragments with an internal spatial topology and its modeling method. The warhead body comprises pre-formed fragments. This invention solves the problem of poor fragment morphology in pre-controlled fragment warheads. Traditional pre-controlled fragment warheads typically produce fragments in a square shell, which has insufficient velocity retention and penetration. This invention provides a shell containing fragment units with a topological feature that allows for close-packing in three-dimensional space, ensuring maximum utilization of material and space. Gaps exist between fragments to ensure smooth separation during warhead operation. Furthermore, fragments can be interconnected via structures including, but not limited to, thin rods or thin-walled structures to ensure good overall strength of the warhead. Attached Figure Description
[0031] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0032] Figure 1 A schematic diagram of the fragment unit structure of a truncated regular octahedron;
[0033] Figure 2 A diagram showing the distribution of pre-formed fragments radially upwards within the warhead;
[0034] Figure 3 A diagram showing the arrangement of pre-fragmented sections within the warhead;
[0035] Figure 4 This is a schematic diagram showing the connection between adjacent surfaces of two adjacent fragment units.
[0036] Figure 5 A schematic diagram of the connection of fragment units with a thin rod as the connecting structure;
[0037] Figure 6 A schematic diagram of the overall structure of a warhead containing pre-controlled fragments with a spatial topology;
[0038] Figure 7 This is a schematic diagram of a thin rod;
[0039] Figure 8 This is a schematic diagram of a curved thin-walled structure;
[0040] In the diagram: 1. Fragment unit. Detailed Implementation
[0041] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0042] The purpose of this invention is to provide a warhead containing pre-controlled fragments with a spatial topological structure and a modeling method thereof, to solve the problems existing in the prior art. It is a shell containing fragment units, wherein the fragment units have topological features that can be densely packed in three-dimensional space, ensuring maximum utilization of materials and space. Gaps exist between the fragments to ensure smooth separation of the fragments during warhead operation. Simultaneously, the fragments can be interconnected through structures including, but not limited to, thin rods or thin-walled structures to ensure good overall strength of the warhead.
[0043] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.
[0044] like Figures 1-8 As shown, this invention provides a warhead containing pre-controlled fragments with an internal spatial topology structure and a modeling method thereof. The fragments adopt a truncated octahedral structure, wherein the shape of the truncated octahedron is as follows: Figure 1 As shown, for different application requirements, other topological structures or several other topologies can also be selected, as long as the topology is a polyhedron type that can tessellate in space, such as: a rhombic dodecahedron (a rhombic dodecahedron is composed of 12 congruent rhombuses), a rhombic hexagonalized dodecahedron (a rhombic hexagonalized dodecahedron converts four of the faces of a rhombic dodecahedron into hexagons), or an Escher polyhedron (an Escher polyhedron is generated by extending the surfaces of a rhombic dodecahedron), etc. In the embodiment, as... Figure 2 As shown, the warhead contains a complete layer of fragmentation units 1, which are arranged tightly and neatly on the inner surface of the warhead shell. Axially, the fragmentation units 1 are also tightly and neatly connected on the cylindrical surface. The arrangement of these fragmentation units 1 inside the warhead is as follows: Figure 2 As shown. If it is necessary to increase the number of fragment units 1, multiple layers of fragment units 1 can also be set.
[0045] To facilitate the manufacturing of the warhead and to enhance its overall strength, the individual fragmentation units 1 need to be interconnected. Specifically, this means that adjacent surfaces of two adjacent fragmentation units 1 (such as...) need to be connected. Figure 3 A connecting structure is added between (as shown). For example, a thin-walled structure can be established between adjacent surfaces of fragment unit 1. Specifically, one or more curved patterns are selected on the surface of fragment unit 1 and translated along a specific path to form a curved thin-walled structure connecting two adjacent surfaces. In the embodiment, the endpoints of each group of adjacent edges of each adjacent surface (such as...) are used as the connection structure between the two adjacent surfaces. Figure 3 A thin wall is constructed at points A, B, C, and D in the diagram. This process is repeated to construct thin walls as shown in the diagram. Figure 3 The shown fragmentation warhead has thin-walled connections at its edges. Alternatively, several thin rods can be connected between adjacent surfaces of fragmentation unit 1, such as... Figure 4 As shown, several points are selected on the surface of fragment unit 1, and a thin rod connecting the two surfaces is formed by translating along a specific path. In this embodiment, the inner and outer surfaces of the fragmentation warhead are cylindrical for ease of installation, such as... Figure 5 As shown, the inner or outer surface of the warhead can also be other shapes depending on the application requirements. The warhead in this embodiment is made of 316L stainless steel, but tungsten, aluminum alloy, or other materials can also be used depending on the specific needs. Before the warhead is operational, the fragmentation warhead needs to be installed onto the corresponding ammunition. The warhead can withstand the corresponding external loads during projectile loading and firing. When the warhead is operational, the energy of the explosive will break down the thin walls or rods between the fragmentation units 1, causing the warhead to disintegrate and generate fragments. These fragments spread outwards and damage the target. The fragments generated by the warhead have a better shape, enabling more effective damage to the target. It also reduces energy loss during airborne motion and increases the fragment velocity.
[0046] The method for modeling a warhead containing pre-controlled fragments with an internal spatial topology structure comprises the following steps:
[0047] Based on the desired fragmentation quality, corresponding ammunition specifications, and installation requirements, the topology of fragmentation unit 1 is selected, the overall structure of the warhead is determined, and the number of fragment layers, the dimensional parameters of fragmentation unit 1, and the type, distribution, and dimensional parameters of the connecting structures are calculated and optimized. Then, the warhead is fabricated using selective laser melting or other forming methods. Some surfaces are machined according to the assembly requirements of the corresponding ammunition.
[0048] Step 1: Determine the warhead's shape, expected fragment mass, and selected materials. The warhead's shape includes the morphology of its outer surface, inner surface, and connecting parts.
[0049] Step Two: Determine the selected topology. To make the fragment more closely resemble a sphere, the preferred embodiment uses a truncated octahedron as the shape of fragment unit 1. For a truncated octahedron with equal sides, its volume V is related to the side length a as follows:
[0050]
[0051] Based on the selected material, the density ρ of this type of material can be found, and then the relationship between the fragment mass m and the element side length a can be obtained:
[0052]
[0053] Based on this relationship, the predicted side length a0 can be calculated from the expected fragment quality, and the layer height h0 of the fragment layer and the predicted length l0 occupied by the fragment in the circumferential direction can be further calculated. In the embodiment, h0 = 2a0.
[0054] Step 3: Based on the morphology of the inner and outer surfaces determined in Step 1, select a representative cross-section. First, calculate the perimeter of the cross-section's centerline. Divide the perimeter by l0 and round the quotient to obtain the number of fragment units 1 in the circumferential direction, n1. Then, divide the perimeter by n1 to obtain the length l1 occupied by the fragment in the circumferential direction. Next, adjust the side length and layer height according to l1 to obtain a1 and h1. Then, calculate the width of the cross-section profile. Divide the profile width by the adjusted value h1 for the fragment layer height. If the quotient is not an integer, round it down; if the quotient is an integer, subtract one from the quotient. The integer obtained is the number of layers n2 in the radial direction of the fragment. The representative cross-section can be selected according to the following rules: Calculate the centerline of the profile on each layer, calculate the relationship between the length of the centerline of the profile on each layer and the layer height, and calculate the average length of the centerline of the profile on all layer heights. The cross-section corresponding to this value can be selected as the representative cross-section. The contour centerline defined here can be obtained as follows: Take a point A on the inner or outer contour as the starting point of the contour line. Then, find a point B on another curve that minimizes the distance AB. Use B as the starting point of this other contour line. Divide the inner and outer contours into n equal parts along the same direction from points A and B. Assign a number to the endpoint of each segment, starting from the starting point. Connect the points with the same number on the inner and outer contours to form line segments. Find the midpoints of these line segments. As n approaches infinity, the set of these points approaches a closed curve, which is the contour centerline. The average length of these line segments is considered the width of the contour. Similarly, if we find the n division points on the line segments, we can obtain n-1 closed curves between the inner and outer contour lines. These curves can be called the contour n-division lines.
[0055] In this embodiment, since both the inner and outer surfaces are regular cylindrical surfaces, the outer surface diameter is D, the inner surface diameter is d, and the width is (Dd) / 2. Any cross-section can be taken as a representative section. The perimeter of the centerline of the cross-section profile is... The correction value for the cell side length is The correction value for the layer height is h1 = 2a1, and the number of fragment layers in the radial direction is:
[0056]
[0057] In the embodiment, the number of layers n2 = 1 was obtained by substituting specific data.
[0058] Step 4: Taking the center of fragment unit 1 as the origin, find the set of coordinates P0 of each vertex, and then find the plane equation Anx + Bny + Cnz + Dn = 0 for each plane. Since there should be a certain gap δ between fragment units 1, the value of δ should be selected according to the processing capacity of the equipment. Establish parallel planes Anx + Bny + Cnz + Dn' = 0 for each face inside the original unit, so that the distance between the new plane and the original plane is δ. Solve the equations of the three adjacent new planes to find the coordinates of their intersection point, and obtain the corrected set of coordinates of each vertex P1 = {(x1, y1, z1), (x2, y2, z2)...(xn, yn, zn)}.
[0059] Step 5: Create a cuboid region. This region has a length along the x-axis equal to the perimeter C of the contour's centerline, and a length along the y-axis equal to the width of the contour. Based on the parameters determined in Step 3, calculate the coordinates of the centers of each fragment unit 1 within this cuboid region, denoted as P2. Specifically, first calculate the coordinates of the first point in P2: move each point of fragment unit 1 until the x-coordinates of all vertices of fragment unit 1 are non-negative, and record the x-coordinate and z-coordinate of the center of fragment unit 1 at this point. Since there are n2 layers of fragment units 1 radially, the y-coordinate of the point is equal to the width of the contour. Then, the remaining points are determined according to geometric rules. By adding the coordinates of each point in point set P1 and the coordinates of each point in point set P2, the coordinate point set P3 of each vertex of each fragment unit 1 in the same space can be obtained.
[0060] Step Six: Add a connection structure. If you choose to create a thin-walled structure to connect the various units, you need to specify curves on the adjacent surfaces of adjacent fragment units 1, or you can specify an additional curve between the two surfaces, such as... Figure 8 As shown, surfaces are established based on these curves, and then thin walls are established based on these surfaces, obtaining control points for each wall surface. The wall thickness δ1 is selected according to the equipment's processing capacity. If a thin rod structure is chosen to connect the various units, point sets need to be specified on the adjacent surfaces of adjacent fragment units 1, or additional point sets can be specified between the two surfaces, such as... Figure 7As shown, curves are established based on these point sets, and then thin rods are constructed based on these curves, obtaining the surface control points of each rod. The rod diameter d1 is selected according to the processing capacity of the equipment.
[0061] Step 7: Coordinate transformation, mapping the designed structure to the space between the expected inner and outer surfaces of the warhead. Find a plane along the axis as the starting surface of this space, and map each point in the original space to the space between the inner and outer surfaces one by one. This completes the modeling of the warhead.
[0062] Step 8: Based on the model, fabricate the warhead using laser selective melting technology or other forming methods. Then, find the assembly requirements of the ammunition used for this type of warhead and process the relevant surfaces.
[0063] This invention combines the advantages of fragmentation warheads, pre-fragmented warheads, and pre-controlled fragmentation warheads. Compared to pre-fragmented warheads, this invention comprises fewer parts, avoiding complex assembly processes and thus reducing overall processing time. The fragmentation units 1 in this invention are tightly connected, resulting in high space utilization efficiency. Compared to pre-controlled fragmentation warheads, the defects created by this invention are not limited to the surface of the warhead but extend deep into its interior. This allows the warhead to produce fragments with more complex and desirable shapes, thereby improving fragment velocity and destructive capability.
[0064] It should be noted that, for those skilled in the art, it is obvious that the present invention is not limited to the details of the above exemplary embodiments, and that the present invention can be implemented in other specific forms without departing from the spirit or essential characteristics of the invention. Therefore, the embodiments should be considered exemplary and non-limiting in all respects, and the scope of the invention is defined by the appended claims rather than the foregoing description. Thus, all variations falling within the meaning and scope of equivalents of the claims are intended to be included within the present invention, and no reference numerals in the claims should be construed as limiting the scope of the claims.
[0065] Specific examples have been used to illustrate the principles and implementation methods of this invention. The descriptions of the above embodiments are only for the purpose of helping to understand the method and core ideas of this invention. Furthermore, those skilled in the art will recognize that, based on the ideas of this invention, there will be changes in the specific implementation methods and application scope. Therefore, the content of this specification should not be construed as a limitation of this invention.
Claims
1. A method for modeling a warhead containing pre-formed fragments with an internal spatial topological structure, characterized in that, A modeling method for warheads containing pre-formed fragments with internal spatial topology, including warheads containing pre-formed fragments with internal spatial topology. The warhead body, wherein one or more pre-formed fragments are arranged within the shell of the warhead body; and Pre-formed fragments, wherein the pre-formed fragments are formed by multiple fragment units with identical structures and closely connected, and adjacent fragment units are connected by a connecting structure; the pre-formed fragments formed by the multiple fragment units are evenly arranged in the shell of the main body of the warhead; The modeling method for warheads containing pre-formed fragments with internal spatial topological structures includes the following steps: Step 1: Determine the warhead's shape, expected fragment mass, and selected materials. The warhead's shape includes the morphology of its outer surface, inner surface, and connecting parts. Step 2: Determine the selected topology. Choose a truncated octahedron as the fragment unit. The volume V of the truncated octahedron is related to the side length a as follows: (1.1) Based on the density ρ of the selected material, the relationship between the fragment mass m and the side length a of the fragment unit can be obtained: (1.2) Based on this relationship, the predicted value of the side length a0 can be obtained from the expected fragment quality, and the layer height h0 of the fragment layer and the length l0 occupied by the fragment in the circumferential direction can be further obtained. , ; Step 3: Based on the morphology of the inner and outer surfaces determined in Step 1, select a cross-section of the warhead. First, calculate the perimeter of the centerline of the cross-section profile. Divide the perimeter by l0 and round the quotient to obtain the number of fragment units n1 in the circumferential direction. Then, divide the perimeter by n1 to obtain the length l1 occupied by the fragment in the circumferential direction. Then, adjust the side length and layer height according to l1 to obtain a1 and h1. Next, calculate the width of the cross-section profile. Divide the width of the profile by the adjusted value h1 of the fragment layer height. If the quotient is not an integer, round the quotient down. If the quotient is an integer, subtract one from the quotient. The integer obtained is the number of layers n2 in the radial direction of the fragment. The warhead has regular cylindrical surfaces on both its inner and outer surfaces. The outer surface diameter is D, the inner surface diameter is d, and the width between the inner and outer surfaces is (Dd) / 2. The perimeter of the centerline of the warhead's cross-sectional profile is... , The correction value for the cell side length is The correction value for the layer height is h1=2a1, and the number of fragment layers in the radial direction is: Step 4: Taking the center of the fragment unit as the origin, find the set of coordinates P0 of each vertex, and then find the plane equation Anx+Bny+Cnz+Dn=0 of each plane, where n represents the nth plane; since there should be a gap δ between the fragment units, the value of δ is selected according to the processing capacity of the equipment, and a parallel plane Anx+Bny+Cnz+Dn'=0 is established for each plane inside the original unit; make the distance between the new plane and the original plane δ, and solve the equations of the three adjacent new planes to find the coordinates of their intersection point, and obtain the corrected set of coordinates of each vertex P1={(x1, y1, z1), (x2, y2, z2)…(xn, yn, zn)}; Step 5: Create a cuboid region with a length of C equal to the perimeter of the contour centerline along the x-axis and a length equal to the width of the contour along the y-axis. Based on the parameters determined in Step 3, calculate the coordinates of the center of each fragment unit within this cuboid region, denoted as P2. First, determine the coordinates of the first point in P2: Move each point of the fragment unit until the x-coordinates of all vertices of the fragment unit are non-negative, and record the x-coordinate and z-coordinate of the center of the fragment unit at this point; since there are n2 layers of fragment units in the radial direction, the y-coordinate of the point is the width of the profile. Then, based on geometric rules, the remaining points are calculated. By adding the coordinates of each point in point set P1 and the points in P2, the coordinate point set P3 of each vertex on each fragment unit in the same space can be obtained. Step Six: Add connection structures; Step 7: Coordinate transformation. Map the designed structure to the space between the expected inner and outer surfaces of the warhead. Select a plane along the axis as the starting surface of this space, and map each point of the coordinate point set P1, P2 and P3 to the space between the inner and outer surfaces one by one; complete the modeling of the warhead.
2. The modeling method for a warhead containing pre-formed fragments with an internal spatial topology structure according to claim 1, characterized in that: The fragment unit adopts a truncated octahedral structure, in which each corner of the octahedron is truncated at the same angle to obtain a truncated plane with the same cross-section.
3. The modeling method for a warhead containing pre-formed fragments with an internal spatial topological structure according to claim 2, characterized in that: The connection structure is a thin-walled structure. One or more curves are selected on the connection surface of the fragment unit. The curves on the connection surface of the fragment unit are translated along the path to form a thin-walled structure of curved surfaces connecting two adjacent surfaces.
4. The modeling method for a warhead containing pre-formed fragments with an internal spatial topology structure according to claim 2, characterized in that: The connection structure is a thin-walled structure, which is established by connecting the adjacent edge endpoints of adjacent surfaces of adjacent fragment units.
5. The modeling method for a warhead containing pre-formed fragments with an internal spatial topology structure according to claim 1, characterized in that: The connecting structure is a thin rod. Several points are selected on the connecting surface of the fragment unit, and each point is translated along a path to form a thin rod connecting two adjacent surfaces.
6. The modeling method for a warhead containing pre-formed fragments with an internal spatial topology structure according to claim 1, characterized in that: The inner and outer surfaces of the warhead body are both cylindrical, and pre-formed fragments are disposed between the inner and outer surfaces of the warhead body.
Citation Information
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