Method and system for calculating relative damage area of uniform surface target hit by multiple bullets

Abstract

The invention discloses a method and a system for calculating a relative damage area of a uniform surface target hit by multiple bullets, and belongs to the technical field of military operation. The method comprises the following steps: acquiring the survival probability of each bomb before delivery, the probability of blasting when the bomb is delivered to a target area and the penetration probability, so as to determine the task reliability of each bomb; determining a damage circle of each bomb and a target damage model of a striking point target of each bomb; determining a non-damage probability function of the multi-bomb joint strike point target under the task reliability condition; and determining the relative damage area of the uniform surface target jointly hit by the plurality of bombs under the task reliability condition by using the damage circle of each bomb and the non-damage probability function of the point target jointly hit by the plurality of bombs under the task reliability condition. According to the method, the reliability of the bomb task and the condition that effective damage areas of the multiple bombs are mutually overlapped and covered are fully considered, the calculation difficulty of the relative damage area of the uniform surface target jointly hit by the multiple bombs is low, and the accuracy is high.

Description

Technical Field

[0001] The present invention belongs to the field of military operations technology, and in particular relates to a method and system for calculating relative damage area when multiple missiles strike a uniform surface target. Background Art

[0002] Considering the problem of air-blast bomb shockwave damage to uniform surface targets, the relative damage area is used to characterize the damage effect on surface targets. Given the bomb's impact point and blast height, the effective damage area can be calculated from the geometric relationship between the bomb's effective damage area and the surface target's overlap. When multiple bombs strike the same target, their effective damage areas often overlap. However, traditional damage effect calculation methods struggle to accurately calculate the extent of this overlap, reducing the accuracy of the effective damage area. Furthermore, traditional damage effect calculation methods lack the ability to incorporate the bomb's mission reliability, making it difficult to accurately calculate the damage effect of a combined multi-bomb strike on a surface target. Summary of the Invention

[0003] One of the purposes of the present invention is to provide a method for calculating the relative damage area when multiple bombs strike a uniform surface target. The method fully considers the reliability of the bomb mission and the overlapping of the effective damage areas of multiple bombs. The calculation of the relative damage area when multiple bombs strike a uniform surface target with joint attack is low in difficulty and high in accuracy.

[0004] A second object of the present invention is to provide a system for calculating the relative damage area when multiple projectiles strike a uniform surface target.

[0005] In order to achieve one of the above purposes, the present invention adopts the following technical solutions:

[0006] A method for calculating the relative damage area when multiple projectiles strike a uniform surface target, the method comprising:

[0007] Step S1: Obtain the survival probability of each bomb before delivery, the probability of explosion upon delivery to the target area, and the penetration probability to determine the mission reliability of each bomb;

[0008] Step S2: using the impact point and damage radius of each bomb, determine the damage circle of each bomb and the target damage model of each bomb's impact point target;

[0009] Step S3: using the target damage model and the mission reliability of each bomb, determining a probability function of no damage when multiple bombs jointly strike a point target under the mission reliability condition;

[0010] Step S4: using the damage circle of each bomb and the undamaged probability function of the multiple bombs jointly striking a point target under the mission reliability condition, determine the relative damage area of ​​the multiple bombs jointly striking a uniform surface target under the mission reliability condition.

[0011] Furthermore, in step S2, the target damage model of each bomb hitting the point target is:

[0012]

[0013] Where D[d(X,X hi ), h i , Y i ] is the target damage model of the i-th bomb hitting the target X; d(X, X hi ) is the landing point X of the i-th bomb in the target coordinate system hi The distance from the target point X; h i is the actual explosion height of the i-th bomb; Y i is the power of the i-th bomb; C i is the damage circle of the i-th bomb; R di (h i ) is the damage radius of the i-th bomb; i = 1, 2, 3, ..., n, where n is the number of bombs.

[0014] Furthermore, in step S3, the probability function of no damage when multiple bombs jointly strike a point target under the mission reliability condition is:

[0015]

[0016] Among them, K n (X) is the probability function of no damage when n bombs strike the point target X under the mission reliability condition; p ti is the mission reliability of the i-th bomb; D[d(X, X hi ), h i , Y i ] is the target damage model of the i-th bomb hitting point target X; Y i is the power of the i-th bomb; h i is the actual explosion height of the i-th bomb; X hi is the landing point of the i-th bomb; i = 1, 2, 3, ...., n, where n is the number of bombs.

[0017] Furthermore, the specific implementation process of step S4 includes:

[0018] Step S41: Using different numbers of damage circle combinations, the damage circles of all bombs are combined to form a damage circle index set;

[0019] Step S42: using the damage circle index set, transforming the undamaged probability function of the multiple bombs jointly striking the point target under the mission reliability condition, to determine the relative damage area of ​​the multiple bombs jointly striking the uniform surface target under the mission reliability condition.

[0020] Furthermore, in step S42, under the mission reliability condition, the relative damage area of ​​a multi-bomb joint attack on a uniform surface target is:

[0021]

[0022] Among them, P S is the relative damage area of ​​n bombs jointly attacking uniform surface target S under the mission reliability condition; A S is the target area of ​​the uniform surface; is the damage circle index set I j The kth subset in I j is the damage circle index set with the number of damage circle combinations j, j = 1, 2, 3, ..., n, n is the number of bombs, is the damage circle index set I j The number of neutron sets; ∩ find the intersection.

[0023] In order to achieve the second of the above objectives, the present invention adopts the following technical solutions:

[0024] A relative damage area calculation system for a target with a uniform surface struck by multiple projectiles, the relative damage area calculation system comprising:

[0025] The acquisition module is used to obtain the survival probability of each bomb before delivery, the probability of explosion after delivery to the target area, and the probability of penetration, so as to determine the mission reliability of each bomb;

[0026] The first determination module is used to determine the damage circle of each bomb and the target damage model of the point target hit by each bomb using the impact point and damage radius of each bomb;

[0027] A second determination module is configured to determine, using the target damage model and the mission reliability of each bomb, a probability function of no damage when multiple bombs jointly strike a point target under mission reliability conditions;

[0028] The third determination module is used to determine the relative damage area of ​​a uniform surface target when multiple bombs jointly strike a target under the mission reliability condition by using the damage circle of each bomb and the undamaged probability function of the point target when multiple bombs jointly strike a target under the mission reliability condition.

[0029] Furthermore, the third determining module includes:

[0030] A combination submodule is used to combine the damage circles of all bombs using different numbers of damage circle combinations to form a damage circle indicator set;

[0031] The transformation submodule is used to transform the undamaged probability function of the joint attack of multiple bombs on a point target under the mission reliability condition using the damage circle index set, so as to determine the relative damage area of ​​the joint attack of multiple bombs on a uniform surface target under the mission reliability condition.

[0032] In summary, the technical solution of the present invention has the following technical effects:

[0033] The present invention uses the landing point and damage radius of each bomb to determine the damage circle of each bomb and the target damage model of each bomb striking a point target; uses the target damage model and the mission reliability of each bomb to determine the undamaged probability function of multiple bombs jointly striking a point target under the mission reliability condition; uses the damage circle of each bomb and the undamaged probability function of multiple bombs jointly striking a point target under the mission reliability condition to determine the relative damage area of ​​multiple bombs jointly striking a uniform surface target under the mission reliability condition. This fully considers the bomb mission reliability and the overlapping of the effective damage areas of multiple bombs, reduces the difficulty of calculating the relative damage area of ​​multiple bombs jointly striking a uniform surface target, and ensures the accuracy of the damage effect calculation of multiple bombs jointly striking a uniform surface target. BRIEF DESCRIPTION OF THE DRAWINGS

[0034] In order to more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the specific embodiments or the description of the prior art. Obviously, the drawings described below are 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.

[0035] Figure 1 This is a flow chart of a method for calculating the relative damage area of ​​a target with uniform surface when multiple projectiles strike the target according to an embodiment of the present invention. DETAILED DESCRIPTION

[0036] To make the objectives, technical solutions, and advantages of the embodiments of the present invention more clear, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings of the embodiments of the present invention. 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 shall fall within the scope of protection of the present invention.

[0037] This embodiment provides a method for calculating the relative damage area of ​​a multi-projectile attack on a uniform surface target. Figure 1 , the relative damage area calculation method includes:

[0038] Step S1: Obtain the survival probability of each bomb before delivery, the probability of explosion upon delivery to the target area, and the penetration probability to determine the mission reliability of each bomb.

[0039] Considering the problem of air-burst bomb shock wave damage to uniform surface targets, the relative damage area is used to represent the surface target damage effect. Given the spatial location of the bomb explosion point, consider n bombs jointly attacking the same target, and assume that n bombs are fired independently, without considering the impact of the explosion effect between bombs. If the i-th bomb can be successfully delivered, fly normally, break through the defense and explode in the target area, then the mission reliability of the i-th bomb p ti for:

[0040] p ti =p si p ri p Pi ; (1)

[0041] Among them, p si 、p ri 、p pi They are respectively the survival probability of the i-th bomb before delivery, the probability of explosion after delivery to the target area, and the penetration probability, which can generally be obtained through the bomb's combat technical indicators.

[0042] Step S2: Using the impact point and damage radius of each bomb, determine the damage circle of each bomb and the target damage model of each bomb's impact point target.

[0043] Assume that the target is a uniform surface target S and satisfies the step damage function. The damage threshold is a constant value that is independent of the position and is recorded as Δp d Consider the situation where n bombs attack the same target together, and the power of bomb i is Y i , task reliability p ti , n bombs are fired independently and the influence of the explosion effect between bombs is not considered. Let the spatial position of the explosion point of bomb i be expressed as the relative target height (i.e. actual explosion height) h i and horizontal position X hi (i.e., the landing point), the distance between the bomb air burst pair and the landing point is d(X, X hi The damage probability of ground point X is expressed by the damage function D[d(X, X hi ), h i , Y i ]describe.

[0044] With the center of the target area as the origin, and the east and north as the x-axis and y-axis respectively, a target coordinate system is constructed to determine the landing point X of the i-th bomb in the target coordinate system. hi The distance from the target point X.

[0045] In summary, the target damage model for each bomb hitting a point target in this embodiment is:

[0046]

[0047] Where D[d(X,X hi ), h i , Y i ] is the target damage model of the i-th bomb hitting the target X; d(X, X hi ) is the landing point X of the i-th bomb in the target coordinate system hi Distance from target point X; Y i is the power of the i-th bomb; h i is the actual explosion height of the i-th bomb; C i is the damage circle of the i-th bomb, i.e. C i The point where the i-th bomb falls is X hi is the center of the circle and the radius is R di (h i ) of the circular area; R di (h i ) is the damage radius of the i-th bomb; i = 1, 2, 3, ..., n, n is the number of bombs. Formula (2) can be described as: falling into the damage circle C i The target point inside is effectively damaged, otherwise it is not damaged.

[0048] Step S3: using the target damage model and the mission reliability of each bomb, determine the undamaged probability function of a joint strike of multiple bombs on a point target under the mission reliability condition.

[0049] Since the explosion point of bomb i is known, according to formula (2), considering the mission reliability of each bomb, the probability function of no damage when multiple bombs jointly strike a point target under the mission reliability condition in this embodiment is:

[0050]

[0051] Among them, K n (X) is the probability function of no damage when n bombs strike the point target X under the mission reliability condition; p ti is the mission reliability of the i-th bomb; D[d(X, X hi ), h i , Y i ] is the target damage model of the i-th bomb hitting the point target X.

[0052] Step S4: using the damage circle of each bomb and the undamaged probability function of the multiple bombs jointly striking a point target under the mission reliability condition, determine the relative damage area of ​​the multiple bombs jointly striking a uniform surface target under the mission reliability condition.

[0053] Since the uniform surface target S contains countless point targets X, the average undamaged area of ​​the uniform surface target when multiple bombs jointly attack the uniform surface target under the mission reliability condition is:

[0054] K n (S)=∫∫ X∈S K n (X)·ds(X); (4)

[0055] Among them, ds(X)=dsdy is the area element along S at X∈S.

[0056] Expand the integrand in equation (4), that is, equation (3), and the probability function of no damage when multiple bombs strike a point target jointly under the mission reliability condition is:

[0057]

[0058] Among them, K n (X) is the probability function of no damage when n bombs strike the point target X; I j is the damage circle index set with the number of damage circle combinations j; is the damage circle index set I j The kth subset in, j = 1, 2, 3, ...., n, n is the number of bombs, is the number of subsets in the damage circle index set.

[0059] Substituting (5) into (4), we have:

[0060]

[0061] Among them, A S is the target area of ​​the uniform surface.

[0062] Substituting (2) into the last term in (6), we can get:

[0063]

[0064] That is, the uniform surface target S and all C i The intersection area of ​​the uniform surface target S is the intersection area of ​​all C i The area of ​​the area covered by the formula is i1, i2, ..., i j are the bomb numbers, i1, i2, ..., i j ∈{1,...,n}.

[0065] Then (6) can be further sorted out as follows:

[0066]

[0067] Formula (8) is the analytical model for overlapping coverage of multiple bomb damage circles, k n (S) equals A S Subtract the area of ​​intersection with each damage circle with a certain probability, add the area of ​​intersection with any two damage circles with a certain probability, subtract the area of ​​intersection with any three damage circles with a certain probability, add the area of ​​intersection with any four damage circles with a certain probability, and so on until j = n. This gives the relative damage area of ​​a uniform surface target S under a joint attack by n bombs (i.e., the relative damage area of ​​a uniform surface target under mission reliability conditions when multiple bombs jointly attack it).

[0068] Based on the above analysis, this embodiment first determines the intersection of the damage circle sets formed by different numbers of damage circle combinations and the uniform surface target. Then, under the condition of mission reliability, the intersections are summed to obtain the damage effect on the uniform surface target (i.e., the relative damage area of ​​the uniform surface target caused by multiple bombs jointly striking the uniform surface target under the condition of mission reliability). The specific implementation process includes:

[0069] Step S41: Using different numbers of damage circle combinations, the damage circles of all bombs are combined to form a damage circle index set.

[0070] The damage circle index set I in this embodiment j It is expressed as follows:

[0071]

[0072] Step S42: using the damage circle index set, transforming the undamaged probability function of the multiple bombs jointly striking the point target under the mission reliability condition, to determine the relative damage area of ​​the multiple bombs jointly striking the uniform surface target under the mission reliability condition.

[0073] Under the mission reliability condition in this embodiment, the relative damage area of ​​multiple bombs jointly attacking a uniform surface target is:

[0074]

[0075] Among them, P S is the relative damage area of ​​n bombs jointly attacking uniform surface target S under the mission reliability condition; A S is the target area of ​​the uniform surface; is the damage circle index set I j The kth subset in I j is the damage circle index set with the number of damage circle combinations j, j = 1, 2, 3, ..., n, n is the number of bombs, is the damage circle index set I j The number of neutron sets; ∩ find the intersection.

[0076] This embodiment uses the impact point and damage radius of each bomb to determine the damage circle of each bomb and the target damage model for each bomb striking a point target. The target damage model and the mission reliability of each bomb are used to determine the undamaged probability function of a joint strike of multiple bombs against a point target under mission reliability conditions. The damage circle of each bomb and the undamaged probability function of a joint strike of multiple bombs against a point target under mission reliability conditions are used to determine the relative damage area of ​​a joint strike of multiple bombs against a uniform surface target under mission reliability conditions. This fully considers the bomb mission reliability and the overlapping of the effective damage areas of multiple bombs, reduces the difficulty of calculating the relative damage area of ​​a joint strike of multiple bombs against a uniform surface target, and ensures the accuracy of the damage effect calculation of a joint strike of multiple bombs against a uniform surface target.

[0077] The above embodiment can be implemented by adopting the technical solutions given in the following embodiments:

[0078] Another embodiment provides a system for calculating relative damage area when multiple projectiles strike a uniform surface target. The system includes:

[0079] The acquisition module is used to obtain the survival probability of each bomb before delivery, the probability of explosion after delivery to the target area, and the probability of penetration, so as to determine the mission reliability of each bomb;

[0080] The first determination module is used to determine the damage circle of each bomb and the target damage model of the point target hit by each bomb using the impact point and damage radius of each bomb;

[0081] A second determination module is configured to determine, using the target damage model and the mission reliability of each bomb, a probability function of no damage when multiple bombs jointly strike a point target under mission reliability conditions;

[0082] The third determination module is used to determine the relative damage area of ​​a uniform surface target when multiple bombs jointly strike a target under the mission reliability condition by using the damage circle of each bomb and the undamaged probability function of the point target when multiple bombs jointly strike a target under the mission reliability condition.

[0083] Furthermore, the third determining module includes:

[0084] A combination submodule is used to combine the damage circles of all bombs using different numbers of damage circle combinations to form a damage circle indicator set;

[0085] The transformation submodule is used to transform the undamaged probability function of the joint attack of multiple bombs on a point target under the mission reliability condition using the damage circle index set, so as to determine the relative damage area of ​​the joint attack of multiple bombs on a uniform surface target under the mission reliability condition.

[0086] The principles, formulas and parameter definitions involved in the above embodiments are all applicable and will not be described in detail here.

[0087] The above embodiments merely represent several implementation methods of the present application. While the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of the present invention. It should be noted that a person skilled in the art could make various modifications and improvements without departing from the spirit of the present application, all of which fall within the scope of protection of the present application. Therefore, the scope of protection of the present patent application shall be determined by the appended claims.

Claims

1. A method for calculating the relative damage area of ​​a target with uniform surface when multiple projectiles strike it, characterized in that: The relative damage area calculation method includes: Step S1: Obtain the survival probability of each bomb before delivery, the probability of explosion upon delivery to the target area, and the penetration probability to determine the mission reliability of each bomb; Step S2: using the impact point and damage radius of each bomb, determine the damage circle of each bomb and the target damage model of each bomb's impact point target; Step S3: using the target damage model and the mission reliability of each bomb, determining a probability function of no damage when multiple bombs jointly strike a point target under mission reliability conditions; Step S4: using the damage circle of each bomb and the undamaged probability function of the multiple bombs jointly striking a point target under the mission reliability condition, determine the relative damage area of ​​the multiple bombs jointly striking a uniform surface target under the mission reliability condition.

2. The relative damage area calculation method according to claim 1, characterized in that: In step S2, the target damage model of each bomb hitting the point target is: Where D[d(X,X hi ), h i , Y i ] is the target damage model of the i-th bomb hitting the target X; d(X, X hi ) is the landing point X of the i-th bomb in the target coordinate system hi The distance from the target point X; h i is the actual explosion height of the i-th bomb; Y i is the power of the i-th bomb; C i is the damage circle of the i-th bomb; R di (h i ) is the damage radius of the i-th bomb; i = 1, 2, 3, ..., n, where n is the number of bombs.

3. The relative damage area calculation method according to claim 2, characterized in that: In step S3, the probability function of no damage when multiple bombs jointly strike a point target under the mission reliability condition is: Among them, K n (X) is the probability function of no damage when n bombs strike the point target X under the mission reliability condition; p ti is the mission reliability of the i-th bomb; D[d(X, X hi ), h i , Y i ] is the target damage model of the i-th bomb hitting point target X; Y i is the power of the i-th bomb; h i is the actual explosion height of the i-th bomb; X hi is the landing point of the i-th bomb; i = 1, 2, 3, ...., n, where n is the number of bombs.

4. The relative damage area calculation method according to claim 3, characterized in that: The specific implementation process of step S4 includes: Step S41: Using different numbers of damage circle combinations, the damage circles of all bombs are combined to form a damage circle index set; Step S42: using the damage circle index set, transforming the undamaged probability function of the multiple bombs jointly striking the point target under the mission reliability condition, to determine the relative damage area of ​​the multiple bombs jointly striking the uniform surface target under the mission reliability condition.

5. The relative damage area calculation method according to claim 4, characterized in that: In step S42, under the mission reliability condition, the relative damage area of ​​a multi-bomb joint attack on a uniform surface target is: Among them, P S is the relative damage area of ​​n bombs jointly attacking uniform surface target S under the mission reliability condition; A S is the target area of ​​the uniform surface; is the damage circle index set I j The kth subset in I j is the damage circle index set with the number of damage circle combinations j, j = 1, 2, 3, ..., n, k = 1, 2, 3, ..., n is the number of bombs, is the damage circle index set I j The number of neutron sets; ∩ find the intersection.

6. A system for calculating the relative damage area of ​​a multi-projectile attack on a uniform surface target, characterized in that: The relative damage area calculation system comprises: The acquisition module is used to obtain the survival probability of each bomb before delivery, the probability of explosion after delivery to the target area, and the probability of penetration, so as to determine the mission reliability of each bomb; The first determination module is used to determine the damage circle of each bomb and the target damage model of the point target hit by each bomb using the impact point and damage radius of each bomb; A second determination module is configured to determine, using the target damage model and the mission reliability of each bomb, a probability function of no damage when multiple bombs jointly strike a point target under mission reliability conditions; The third determination module is used to determine the relative damage area of ​​a uniform surface target when multiple bombs jointly strike a target under the mission reliability condition by using the damage circle of each bomb and the undamaged probability function of the point target when multiple bombs jointly strike a target under the mission reliability condition.

7. The relative damage area calculation system according to claim 6, characterized in that: The third determining module includes: A combination submodule is used to combine the damage circles of all bombs using different numbers of damage circle combinations to form a damage circle indicator set; The transformation submodule is used to transform the undamaged probability function of the joint attack of multiple bombs on a point target under the mission reliability condition using the damage circle index set, so as to determine the relative damage area of ​​the joint attack of multiple bombs on a uniform surface target under the mission reliability condition.

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