Power parameter calculation method for integral fragment warhead
By establishing a standard model and segmented functions to describe the structure of the fragmented warhead and calculating its power parameters, the problem of lack of rapid calculation methods in the prior art is solved, and the versatility and applicability of various structures and charge materials are achieved.
Patent Information
- Application Number
- CN202510301371.1
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-03-14
- Publication Date
- 2025-04-11
- Estimated Expiration
- Not applicable · inactive patent
AI Technical Summary
The prior art lacks standardized models and systematic calculation methods to quickly describe the power parameters of the fragmented warhead, making it difficult to quickly perform power analysis, calculation and evaluation in military applications.
A method for calculating the power parameters of the integral fragment warhead is proposed. By analyzing the structure of the fragment warhead, a standard model is established, and a segmented function is established in the rectangular coordinate system to describe the inner and outer contour lines, measuring the structural parameters, dividing the calculation units, calculating the average mass, quantity and loading ratio of the fragment, and finally calculating the axial distribution of the initial velocity of the fragment.
This method uniformly and simplifies the power parameter calculation process of fragmented warheads of different structures and shapes. It is suitable for a variety of typical structures and charging materials. It has strong versatility and applicability, and supports systematic and rapid research on the damage effect of warheads.
Smart Images
Figure CN119808443A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of research on damage effects of warheads under explosion, and in particular to a method for calculating power parameters of an integral fragmentation warhead. Background Art
[0002] Fragmentation warheads, as an indispensable weapon on the battlefield, are widely used in various complex military operations. Their core effectiveness stems from the immense explosive pressure released by the explosive detonation and the high-velocity impact of metal fragments. This damage mechanism enables fragmentation warheads to effectively and fatally injure and damage personnel and various critical infrastructure on the battlefield, demonstrating their irreplaceable strategic value. Consequently, countries around the world have continuously increased their investment in fragmentation warhead research and development, particularly in key areas such as guidance technology innovation, improved fuze accuracy, and fragment dispersion control, achieving numerous breakthroughs in recent years. These technological innovations have not only significantly enhanced the accuracy of fragmentation warheads but also greatly expanded their threat range, making them a key research topic within the military research community, with significant representativeness and far-reaching research significance.
[0003] However, the widespread use of fragmentation warheads in military applications presents a diverse range of models, structures, and sizes, presenting numerous challenges for rapid warhead power analysis, calculation, and assessment. Furthermore, existing formulas for calculating fragment power parameters lack qualitative evidence for practical application, and their applicability warrants further investigation. As can be seen from the above, there is currently a lack of standardized models and systematically applicable calculation methods for rapidly describing fragment power parameters.
[0004] Therefore, it is an urgent problem for those skilled in the art to propose a method for calculating the power parameters of an integral fragmentation warhead to solve the difficulties existing in the prior art. Summary of the Invention
[0005] The purpose of the present invention is to provide a method for calculating the power parameters of an integral fragmentation warhead, which has strong practical and academic value and has strong reference significance for conducting systematic and rapid research on the damage effect of warheads.
[0006] To achieve the above object, the present invention provides the following solutions: A method for calculating the power parameters of an integral fragmentation warhead comprises the following steps: S1. Analyze the fragmentation warhead structure to establish a standard model; S2, based on the standard model in S1, by establishing a piecewise function in the rectangular coordinate system to describe the inner and outer contours of the fragment warhead; S3, measuring the warhead structural parameters, and inputting the warhead structural parameters into the piecewise function in S2, establishing a mathematical representation model in a rectangular coordinate system, and dividing the calculation units; S4. Based on the mathematical representation model and the calculation unit established in S3, the calculation unit is initially segmented to obtain multiple unit segments, and the unit parameters are calculated; S5. Determine the shape of the standard fragments, and calculate the average mass and quantity of the fragments in the initial segment, as well as the characteristic size value of the fragments based on the unit parameters; S6. Calculate the average mass, quantity and filling ratio of the fragments in each unit segment; S7. Based on the results of S6, the mass distribution of the fragments in each unit segment within the preset mass range is calculated using the mass classification formula. After summarizing, the mass distribution of the fragments of the entire warhead is obtained; S8. Substitute the filling ratio of each unit segment into the initial velocity calculation formula to calculate the axial distribution of the initial velocity of the fragments.
[0007] Preferably, in S2, a piecewise function is established in a rectangular coordinate system to describe the inner and outer contours of the fragment warhead. The piecewise function is specifically as follows: , , in, Indicates the outer contour of the fragmentation warhead, Indicates the outer contour of the fragmentation warhead, L 1 、 L 2 、 L 3 、 L 4 、 L 5 、 L 6 、 L 7 、 、 、 H 1 、 H 2 、 R 1 、 R 2 These are all contour line size parameters. H 1 、 L 1 、 L 2 、 L 3They are respectively the radius of the projectile bottom, the length of the tail section, the length of the cylindrical section and the length of the nose section of the projectile outer contour line. H 2 、 L 5 、 L 6 、 L 7 are respectively the radius of the projectile bottom, the length of the cylindrical section and the length of the warhead section of the projectile inner contour line. 、 are the included angles between the projectile's outer and inner contours and the projectile's tail cone and axis, R 1 、 R 2 They are respectively the arc radii of the projectile's outer contour line and inner contour line.
[0008] Preferably, in S4, based on the mathematical characterization model and calculation unit established in S3, the calculated unit parameters include unit shell thickness, charge mass, and shell mass, and the calculation formula is as follows: , , , in, is the unit shell thickness, C i For charge quality, M i is the shell mass, ρ 1 is the charge density, ρ 2 is the shell density, d i is the inner diameter of the shell, is the outer contour line of the fragmentation warhead, The outer contour of the fragmentation warhead, dx The numerical value corresponding to each unit segment.
[0009] Preferably, in S6, calculating the average mass, quantity and filling ratio of the fragments of each unit segment specifically includes: Re-determine the characteristic size value of the fragments in S5 d The minimum of the initial segment dx The value is used as the initial segmentation and the next segmentation value, and S4~S6 are repeated until the calculation of the entire projectile is completed, and the average mass, quantity and filling ratio of each unit segment fragment are obtained.
[0010] Preferably, the average mass, quantity and filling ratio of each unit segmented fragment are calculated as follows: , , , in, is the average mass of fragments, N i For the i The total number of fragments in the ring segment, 2 μ is the arithmetic mean mass of the fragments, B is the Mott constant, d i is the inner diameter of the shell, m is the fragment mass variable.
[0011] Preferably, in S7, the mass distribution of the fragments in each unit segment within a preset mass range is calculated, and the mass distribution of the fragments of the entire warhead is obtained after summing up. The specific formula is as follows: , in, The mass distribution of fragments in each unit segment is: m 1 、 m 2 is the mass of any two adjacent infinitesimal segments, It is 1 / 2 of the arithmetic mean mass of the fragments.
[0012] Preferably, in S8, the filling ratio of each unit segment is substituted into the initial velocity calculation formula to calculate the axial distribution of the initial velocity of the fragments. The specific formula is as follows: , in, is the initial velocity of the fragments, β i is the ratio of charge mass to shell mass, For Green.
[0013] Preferably, when the fragment warhead detonation mode is one-end detonation, the initial velocity calculation formula is as follows: , in, v 0 is the initial velocity of the fragments detonated at one end, x is the distance between a point on the shell and the detonation point, d is the charge diameter, L is the charge length, β is the filling ratio.
[0014] According to the specific embodiments provided by the present invention, the present invention discloses the following technical effects: (1) Based on the existing technology, the present invention combines the theoretical formula of typical fragmentation warheads with the unit division method to form a method for calculating the power parameters of integrated fragmentation warheads. This method unifies and greatly simplifies the calculation process of the power parameters of fragmentation warheads with various sizes and structures. It has strong practical and academic value and is of great reference significance for conducting systematic and rapid research on the damage effect of warheads.
[0015] (2) This method is applicable to a variety of typical fragmentation warhead structures, including warheads with different structural forms, such as the tail section, cylindrical section, and nose section. At the same time, this method can handle fragments of different shapes (such as cubic and spherical), and is applicable to a variety of charge materials and shell materials (such as TNT, 50SiMnVB steel, 58SiMn, etc.), showing strong versatility and applicability. BRIEF DESCRIPTION OF THE DRAWINGS
[0016] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the embodiments. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.
[0017] Figure 1 A schematic flow chart of a method for calculating power parameters of an integral fragmentation warhead provided by the present invention; Figure 2 Schematic diagrams of several typical fragmentation warhead structures; Among them, 1-warhead section, 2-charge section, 3-cylindrical section, 4-tail section; Figure 3 This is a schematic diagram of a standard model of the integrated fragmentation warhead of the present invention; Figure 4 Schematic diagram of the division unit of the present invention; Figure 5 Schematic diagram of the warhead structure and function contour line of the present invention; Figure 6 A schematic diagram of the fragment mass distribution calculated according to an embodiment of the present invention; Among them, (a) is a schematic diagram of the fragment mass distribution when the shell material is 58SiMn, and (b) is a schematic diagram of the fragment mass distribution when the shell material is 50SiMnVB; Figure 7 Schematic diagram of the axial distribution of the initial velocity of fragments calculated according to an embodiment of the present invention. DETAILED DESCRIPTION
[0018] The following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with the accompanying drawings. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts are within the scope of protection of the present invention.
[0019] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the present invention is further described in detail below with reference to the accompanying drawings and specific embodiments.
[0020] like Figure 1 As shown, the present invention provides a method for calculating the power parameters of an integral fragmentation warhead, comprising the following steps: S1. Analyze the fragmentation warhead structure to establish a standard model; S2, based on the standard model in S1, by establishing a piecewise function in the rectangular coordinate system to describe the inner and outer contours of the fragment warhead; S3, measuring the warhead structural parameters, and inputting the warhead structural parameters into the piecewise function in S2, establishing a mathematical representation model in a rectangular coordinate system, and dividing the calculation units; S4. Based on the mathematical representation model and calculation unit of the warhead established in S3, calculate the unit parameters. When calculating, the unit is divided into a larger initial segment (e.g., 0.1 m) starting from the origin of the coordinate axis; S5. Determine the shape of the standard fragments (e.g., cube, sphere, etc.), and based on the unit parameters calculated in S4, calculate the average mass and number of fragments in the larger initial segment, as well as the characteristic size value of the fragments d； S6. Calculate the average mass, quantity and filling ratio of the fragments in each unit segment; S7. Based on the results of S6, the mass distribution of the fragments in each unit segment within the preset mass range is calculated using the mass classification formula. After summarizing, the mass distribution of the fragments of the entire warhead is obtained; S8. Substitute the filling ratio of each unit segment into the initial velocity calculation formula to calculate the axial distribution of the initial velocity of the fragments.
[0021] Furthermore, in S2, a piecewise function is established in a rectangular coordinate system to describe the inner and outer contours of the fragment warhead. The piecewise function is as follows: , , in, Indicates the outer contour of the fragmentation warhead, Indicates the outer contour of the fragmentation warhead,v 0 is the initial velocity of the fragments detonated at one end, x is the distance between a point on the shell and the detonation point, d is the charge diameter, L is the charge length, β is the filling ratio.
[0022] Furthermore, in S4, based on the mathematical representation model and calculation unit established in S3, the calculated unit parameters include unit shell thickness, charge mass, and shell mass. The calculation formula is as follows: , , , in, is the unit shell thickness, C i For charge quality, M i is the shell mass, ρ 1 is the charge density (kg / m 3 ), ρ 2 is the shell density (kg / m 3 ), d i is the inner diameter of the shell (m), The outer contour of the fragmentation warhead, dx The numerical value corresponding to each unit segment.
[0023] Furthermore, in S6, the average mass, quantity and filling ratio of the fragments of each unit segment are calculated, specifically including: Re-determine the d The value is the minimum of this larger ring segment dx The value is used as the initial segmentation and the next segmentation value, and S4~S6 are repeated until the calculation of the entire projectile is completed, and the average mass, quantity and filling ratio of each unit segment fragment are obtained.
[0024] Furthermore, the average mass, quantity and filling ratio of each unit segmented fragment are calculated as follows: , , , in, C i is the charge mass of the ring segment (kg), M i The mass of the shell of this section (kg), N iis the total number of fragments in the i-th ring segment, 2 μ is the arithmetic mean mass of the fragments (kg), B is the Mott constant (kg 1 / 2 / m 7 / 6 ), which is related to the type of explosive and the shell material, is the shell thickness of the arc segment (m), m is the fragment mass variable.
[0025] Furthermore, in S7, the mass distribution of the fragments in each unit segment within the preset mass range is calculated, and the fragment mass distribution of the entire warhead is obtained after summing up. The specific formula is as follows: , in, The mass distribution of fragments in each unit segment is: m 1 、 m 2 is the mass of any two adjacent infinitesimal segments, It is 1 / 2 of the arithmetic mean mass of the fragments.
[0026] Furthermore, in S8, the filling ratio of each unit segment is substituted into the initial velocity calculation formula to calculate the axial distribution of the initial velocity of the fragments. The specific formula is as follows: , in, is the initial velocity of the fragments, β i is the ratio of charge mass to shell mass, β i = C i / M i , is the ratio of the charge mass to the shell mass in this section, For Green.
[0027] Furthermore, when the fragmentation warhead is detonated at one end, the initial velocity calculation formula is as follows: , in, v 0 is the initial velocity of the fragments detonated at one end, x is the distance between a point on the shell and the detonation point, d is the charge diameter, L is the charge length, β is the filling ratio.
[0028] In a specific embodiment, it includes: Step 1, Figure 2The structural diagrams of several typical fragmentation warheads are shown in the following figure. Some non-critical geometric elements are ignored and a standard model is established. Figure 3 The standard model is an axisymmetric structure, consisting of inner and outer contour lines, and can be divided into three parts: the tail section 4, the cylindrical section 3, the charge section 2, and the warhead section 1.
[0029] Step 2: Based on the standard model described in step 1, a piecewise function is established in a rectangular coordinate system. The piecewise function is used to describe the inner and outer contours of the fragment warhead, the coordinate position of each point on the standard model is determined, and the piecewise function expression is established.
[0030] Step 3: Measure the warhead structural parameters to be calculated, input the piecewise function expression in step 2, and establish a mathematical representation model in the rectangular coordinate system. The unit division diagram is as follows: Figure 4 As shown, the left part of the figure specifically refers to Figure 3 Take any section on the standard model diagram, and the right part is the overall unit diagram of the section; the mathematical representation model obtained after entering the instance parameters is shown in Figure 5 , the shell material of this implementation is 50SiMnVB steel, the shell density ρ 2=7860kg / m 3 , the charge material is TNT, density ρ 1=1630kg / m 3 , the Mott constant is 2370 kg 1 / 2 / m 7 / 6 ; Figure 5 middle l 1 is 64, l 2 is 52, l 3 is 32, l 4 is 135, l 5 is 400, l 6 is 63, l 7 is 25, l 8 is 104, l 9 is 70, r 1 is 800, r 2 is 850 (unit: mm), a 1 is 10°, a 2 is 7°.
[0031] Step 4: Calculate the unit shell thickness based on the mathematical representation model and calculation unit of the warhead established in step 3. , Charge quality C i , Shell quality M iWhen calculating, the calculation unit is divided into a larger initial segment (such as 0.1m) starting from the origin of the coordinate axis. The example is calculated by the above formula, and the shell thickness of the initial segment is =0.019, C 1=0.152, M 1=3.56kg.
[0032] Step 5: Determine that the shape of the standard fragment is a cube. Based on the unit parameters calculated in step 4, calculate the average mass and number of fragments in the larger initial segment, as well as the characteristic size value d of the fragment. The characteristic size value of the cube fragment refers to the side length, and the calculated value d is 0.009m.
[0033] Step 6: Take the d value in step 5 as the minimum value of this larger ring segment. dx The value is used as the initial segmentation and the next segmentation value, and steps 4 to 6 are repeated until the entire projectile is calculated to obtain the average mass, quantity and filling ratio of each segmented fragment.
[0034] Step 7: Based on the results of step 6, the mass classification formula is used to calculate the number distribution of fragments in each unit within a certain mass range. After summarizing, the mass distribution of the fragments of the entire warhead is obtained. The summary calculation results are shown in Figure 6 In (a)-(b), different cases where the shell materials are 58SiMn and 50SiMnVB are considered.
[0035] Step 8: Based on the result of step 6, substitute the filling ratio of each unit segment into the initial velocity calculation formula to calculate the axial distribution of the initial velocity of the fragments. The calculation results are shown in Figure 7 .
[0036] The present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon. When the computer program is executed by a processor, the method for calculating the power parameters of an integral fragmentation warhead as described above is implemented.
[0037] Through the above description of the embodiments, those skilled in the art will clearly understand that each embodiment can be implemented using software plus a necessary general-purpose hardware platform, or of course, hardware. Based on this understanding, the essence of the above technical solution, or the portion that contributes to the prior art, can be embodied in the form of a software product. This computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, a magnetic disk, or an optical disk, and includes a number of instructions for causing a computer device (such as a personal computer, server, or network device) to execute the methods described in each embodiment or certain portions of the embodiments.
[0038] This document uses specific examples to illustrate the principles and implementation methods of the present invention. The above examples are only intended to help understand the method and core concept of the present invention. At the same time, those skilled in the art will find that the specific implementation methods and application scopes may vary based on the concept of the present invention. In summary, the contents of this specification should not be construed as limiting the present invention.
Claims
1. A method for calculating the power parameters of an integral fragmentation warhead, characterized in that: The following steps are involved: S1. Analyze the fragmentation warhead structure to establish a standard model; S2, based on the standard model described in S1, by establishing a piecewise function in a rectangular coordinate system to describe the inner and outer contours of the fragment warhead; S3, measuring the warhead structural parameters, and inputting the warhead structural parameters into the piecewise function in S2, establishing a mathematical representation model in a rectangular coordinate system, and dividing the calculation units; S4, based on the mathematical representation model and the computing unit established in S3, initially segmenting the computing unit to obtain a plurality of unit segments, and calculating unit parameters; S5. determining the shape of the standard fragments, and calculating the average mass and quantity of the fragments in the initial segment and the characteristic size value of the fragments based on the unit parameters; S6. Calculate the average mass, quantity and loading ratio of the fragments of the unit segment; S7. Based on the result of S6, the mass distribution of the fragments in each unit segment within the preset mass range is calculated using the mass classification formula, and the mass distribution of the fragments of the entire warhead is obtained after summarization; S8. Substituting the filling ratio of each unit segment into the initial velocity calculation formula, the axial distribution of the initial velocity of the fragments is calculated.
2. The method for calculating the power parameters of an integrated fragmentation warhead according to claim 1, characterized in that: In S2, a piecewise function is established in a rectangular coordinate system to describe the inner and outer contours of the fragment warhead. The piecewise function is specifically as follows: ， ， in, Indicates the outer contour of the fragmentation warhead, Indicates the outer contour of the fragmentation warhead, L 1 , L 2 , L 3 , L 4 , L 5 , L 6 , L 7 , , , H 1 , H 2 , R 1 , R 2 These are the contour line size parameters. H 1 , L 1 , L 2 , L 3 They are respectively the radius of the projectile bottom, the length of the projectile tail section, the length of the projectile cylindrical section and the length of the projectile nose section. H 2 , L 5 , L 6 , L 7 They are respectively the radius of the projectile bottom, the length of the projectile cylindrical section and the length of the projectile nose section of the projectile inner contour line. , are the included angles between the outer contour line and the inner contour line of the projectile tail cone and the projectile axis, R 1 , R 2 They are respectively the arc radii of the warhead section of the outer contour line and the inner contour line of the projectile.
3. The method for calculating the power parameters of an integrated fragmentation warhead according to claim 1, characterized in that: In S4, based on the mathematical characterization model and calculation unit established in S3, the calculated unit parameters include unit shell thickness, charge mass, and shell mass, and the calculation formula is as follows: ， in, is the unit shell thickness, C i For the charge quality, M i is the shell mass, ρ 1 is the charge density, ρ 2 is the shell density, d i is the inner diameter of the shell, For the i The outer contour of the fragment warhead at the micro-element segment, For the i The outer contour of the fragment warhead at the micro-element segment, dx The numerical value corresponding to each unit segment.
4. The method for calculating the power parameters of an integrated fragmentation warhead according to claim 1, characterized in that: In S6, the calculation of the average mass, quantity and loading ratio of the fragments of each unit segment specifically includes: Re-determine the characteristic size value of the fragments in S5 d The minimum value of the initial segment dx The value is used as the initial segmentation and the next segmentation value, and S4~S6 are repeated until the calculation of the entire projectile is completed, and the average mass, quantity and filling ratio of each unit segment fragment are obtained.
5. The method for calculating the power parameters of an integrated fragmentation warhead according to claim 4, characterized in that: The calculation formula for the average mass, quantity and filling ratio of each unit segmented fragment is as follows: ， ， ， in, is the average mass of fragments, N i For the i The total number of fragments in the ring segment, 2 μ is the arithmetic mean mass of the fragments, B is the Mott constant, d i is the inner diameter of the shell, is the fragment mass variable.
6. The method for calculating the power parameters of an integrated fragmentation warhead according to claim 1, characterized in that: In S7, the mass distribution of the fragments in each unit segment within the preset mass range is calculated, and the mass distribution of the fragments of the entire warhead is obtained after summarization. The specific formula is as follows: ， in, For each unit segment, the fragment mass distribution is: m 1 , m 2 is the mass of any two adjacent infinitesimal segments, It is 1 / 2 of the arithmetic mean mass of the fragments.
7. The method for calculating the power parameters of an integrated fragmentation warhead according to claim 1, characterized in that: In S8, the filling ratio of each unit segment is substituted into the initial velocity calculation formula to calculate the axial distribution of the initial velocity of the fragments. The specific formula is as follows: ， in, is the initial velocity of the fragments, β i is the ratio of charge mass to shell mass, For Green.
8. The method for calculating the power parameters of an integrated fragmentation warhead according to claim 7, characterized in that: When the fragment warhead is detonated at one end, the initial velocity calculation formula is as follows: ， in, v 0 is the initial velocity of the fragments detonated at one end, x is the distance between a point on the shell and the detonation point, d is the charge diameter, L is the charge length, β is the filling ratio.
Citation Information
Patent Citations
Method and system for simulating power field of fragment killing warhead
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