Damage effect calculation method and system considering different precision of vertical and horizontal drop points

Abstract

The invention discloses a damage effect calculation method and system considering different precision of vertical and horizontal drop points, and belongs to the technical field of military operation. The method comprises the following steps: constructing a bomb delivery coordinate system and a target coordinate system to determine system deviation and standard deviation of a bomb drop point corresponding to a bomb explosion point in the target coordinate system along x-axis and y-axis directions and a correlation coefficient between a horizontal coordinate and a vertical coordinate of the bomb drop point in the target coordinate system; according to the actual explosion height condition, a bomb actual explosion point space distribution model under the bomb falling point longitudinal and transverse precision condition is determined through the system deviation, the standard deviation and the correlation coefficient; and selecting a target damage model, and determining the damage effect of the bomb on different types of targets by using the target damage model and the bomb actual explosion point spatial distribution model. According to the method, longitudinal and transverse errors, caused by various random factors such as guidance control and flight environment, of bomb drop points are reduced, and the accuracy of the damage effect of air explosion of the guided bomb on the ground target is guaranteed.

Description

Technical Field

[0001] The present invention belongs to the field of military operations technology, and in particular relates to a damage effect calculation method and system that considers different vertical and horizontal landing point accuracies. Background Art

[0002] When a guided bomb of a given power is used to damage a ground target using an airburst, the damage effect is closely related to the bomb's burst height error and impact point accuracy. Because burst height control and impact point control are independent of each other, only the impact of impact point accuracy is analyzed here. Bomb impact point accuracy can be expressed using systematic deviation and standard deviation, and for a single delivery process, it can be decomposed into mutually orthogonal longitudinal and lateral errors. Existing models for calculating damage effects generally assume that longitudinal and lateral errors are independent and equal during the delivery process, facilitating theoretical analysis and calculations. However, due to various random factors such as guidance control and the flight environment, in practice, longitudinal and lateral errors in bomb impact points often vary. Completely ignoring this deviation will affect the accuracy of damage effect calculations. Summary of the Invention

[0003] One of the purposes of the present invention is to provide a method for calculating damage effects that takes into account the different vertical and horizontal landing point accuracies. This method corrects the influence of the vertical and horizontal errors of the bomb landing point caused by random factors such as guidance control and flight environment on the spatial distribution of the bomb explosion point, thereby ensuring the accuracy of the damage effect of the guided bomb airburst on the ground target.

[0004] A second object of the present invention is to provide a damage effect calculation system that takes into account the different vertical and horizontal landing point accuracies.

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

[0006] A damage effect calculation method considering different vertical and horizontal landing point accuracies, the damage effect calculation method comprising:

[0007] Step S1: constructing a bomb delivery coordinate system and a target coordinate system to determine the systematic deviation and standard deviation of the bomb drop point corresponding to the bomb explosion point in the target coordinate system along the x-axis and y-axis directions, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system;

[0008] Step S2: According to the actual explosion height condition, the spatial distribution model of the actual explosion point of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point is determined by using the system deviation, standard deviation and the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system;

[0009] Step S3: Select a target damage model, and use the target damage model and the actual explosion point spatial distribution model of the bomb to determine the damage effect of the bomb on different types of targets.

[0010] Furthermore, the specific implementation process of step S1 includes:

[0011] Step S11: constructing a bomb delivery coordinate system with the aiming point as the origin, the bomb delivery direction and its corresponding vertical direction as the x-axis and y-axis respectively, to determine the longitudinal systematic deviation, lateral systematic deviation, longitudinal standard deviation, and lateral standard deviation of the bomb landing point in the delivery coordinate system;

[0012] Step S12: construct a target coordinate system with the center of the target area as the origin, and east and north as the x-axis and y-axis, respectively, to determine a third angle between the bomb delivery direction and the x-axis in the target coordinate system;

[0013] Step S13: Calculate the systematic deviation and standard deviation of the bomb drop point along the x-axis and y-axis directions in the target coordinate system, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system, using the longitudinal systematic deviation, the lateral systematic deviation, the longitudinal standard deviation, the lateral standard deviation, and the third angle of the bomb drop point in the delivery coordinate system.

[0014] Furthermore, the specific implementation process of step S2 includes:

[0015] Step S21, obtaining a first angle between the projection of the bomb velocity vector at the bomb explosion point on the horizontal plane where the binding explosion height is located and the x-axis of the target coordinate system, and a second angle between the bomb velocity vector and the horizontal plane where the binding explosion height is located;

[0016] Step S22: Calculate the equivalent aiming point of the bomb in the target coordinate system using the actual burst height, the bound burst height, the aiming point corresponding to the bound burst height, the first angle, and the second angle;

[0017] Step S23: Determine a spatial distribution model of the actual explosion point of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point by using the bomb equivalent aiming point and the systematic deviation, standard deviation and correlation coefficient of the bomb drop point along the x-axis and y-axis in the target coordinate system.

[0018] Furthermore, when the actual burst height is determined, the specific implementation process of step S3 includes:

[0019] Step S311: using the actual explosion point spatial distribution model of the bomb when the actual explosion height is determined and the target damage model, determine the first point target damage effect function represented by the damage probability;

[0020] Step S312: performing length integration processing on the first point target damage effect function along the line target length direction to obtain a first line target damage effect function represented by an average damage length;

[0021] Step S313: performing area integration processing on the first point target damage effect function along the surface target area to obtain a first surface target damage effect function represented by an average damage area;

[0022] Step S314: perform damage effect evaluation using the first point target damage effect function, the first line target damage effect function, and the first surface target damage effect function.

[0023] Furthermore, when the actual burst height is not determined, the specific implementation process of step S3 includes:

[0024] Step S321: Determine a second point target damage effect function represented by damage probability by using the actual explosion point spatial distribution model of the bomb and the target damage model when the actual explosion height is not determined;

[0025] Step S322: performing length integration processing on the second point target damage effect function along the line target length direction to obtain a second line target damage effect function represented by an average damage length;

[0026] Step S323: performing area integration processing on the second point target damage effect function along the surface target area to obtain a second surface target damage effect function represented by an average damage area;

[0027] Step S324: perform damage effect evaluation using the second point target damage effect function, the second line target damage effect function, and the second surface target damage effect function.

[0028] In order to achieve the second of the above objectives, the present invention adopts the following technical solutions:

[0029] A damage effect calculation system considering different vertical and horizontal landing point accuracies, the damage effect calculation system comprising:

[0030] A construction module is used to construct a bomb delivery coordinate system and a target coordinate system to determine the systematic deviation and standard deviation of the bomb drop point corresponding to the bomb explosion point in the target coordinate system along the x-axis and y-axis directions, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system;

[0031] The first determination module is used to determine the actual explosion point spatial distribution model of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point according to the actual explosion height condition using the system deviation, standard deviation and the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system;

[0032] The second determination module is used to select a target damage model and use the target damage model and the actual explosion point spatial distribution model of the bomb to determine the damage effect of the bomb on different types of targets.

[0033] Furthermore, the building blocks include:

[0034] The first construction submodule is used to construct a bomb delivery coordinate system with the aiming point as the origin, the bomb delivery direction and its corresponding vertical direction as the x-axis and y-axis respectively, so as to determine the longitudinal systematic deviation, lateral systematic deviation, longitudinal standard deviation and lateral standard deviation of the bomb landing point in the delivery coordinate system;

[0035] The second construction submodule is used to construct a target coordinate system with the center of the target area as the origin and the east and north as the x-axis and y-axis respectively, so as to determine the third angle between the bomb delivery direction and the x-axis in the target coordinate system;

[0036] The first calculation submodule is used to calculate the systematic deviation and standard deviation of the bomb drop point along the x-axis and y-axis directions in the target coordinate system, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system, by using the longitudinal systematic deviation, the lateral systematic deviation, the longitudinal standard deviation and the lateral standard deviation and the third angle of the bomb drop point in the delivery coordinate system.

[0037] Furthermore, the first determining module includes:

[0038] an acquisition submodule, for acquiring a first angle between the projection of the bomb velocity vector at the bomb explosion point on the horizontal plane where the binding burst height is located and the x-axis of the target coordinate system, and a second angle between the bomb velocity vector and the horizontal plane where the binding burst height is located;

[0039] The second calculation submodule is used to calculate the equivalent aiming point of the bomb in the target coordinate system by using the actual burst height of the bomb, the bound burst height, the aiming point corresponding to the bound burst height, the first angle, and the second angle;

[0040] The first determination submodule is used to determine the spatial distribution model of the actual explosion point of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point by using the bomb equivalent aiming point and the systematic deviation, standard deviation and correlation coefficient of the bomb drop point along the x-axis and y-axis directions in the target coordinate system.

[0041] Furthermore, when the actual burst height is determined, the second determination module includes:

[0042] The second determination submodule is used to determine the first point target damage effect function represented by the damage probability by using the actual explosion point spatial distribution model of the bomb and the target damage model when the actual explosion height is determined;

[0043] A first length integral processing submodule is configured to perform length integral processing on the first point target damage effect function along the line target length direction to obtain a first line target damage effect function characterized by an average damage length;

[0044] A first area integral processing submodule is configured to perform area integral processing on the first point target damage effect function along the surface target area to obtain a first surface target damage effect function represented by an average damage area;

[0045] The first damage effect evaluation submodule is used to perform damage effect evaluation using the first point target damage effect function, the first line target damage effect function and the first surface target damage effect function.

[0046] Furthermore, when the actual burst height is not determined, the second determining module includes:

[0047] The third determination submodule is used to determine the second point target damage effect function represented by the damage probability by using the actual explosion point spatial distribution model of the bomb and the target damage model when the actual explosion height is not determined;

[0048] A second length integral processing submodule is configured to perform length integral processing on the second point target damage effect function along the line target length direction to obtain a second line target damage effect function characterized by an average damage length;

[0049] A second area integral processing submodule is configured to perform area integral processing on the second point target damage effect function along the surface target area to obtain a second surface target damage effect function represented by an average damage area;

[0050] The second damage effect evaluation submodule is used to perform damage effect evaluation using the second point target damage effect function, the second line target damage effect function and the second surface target damage effect function.

[0051] In summary, the technical solution of the present invention has the following technical effects:

[0052] The present invention uses system deviation, standard deviation and correlation coefficient to determine the spatial distribution model of the actual explosion point of bombs under different actual explosion height conditions of bombs, corrects the influence of the longitudinal and lateral errors of the bomb landing point caused by random factors such as guidance control and flight environment on the spatial distribution of the bomb explosion point, ensures the consistency of the spatial distribution model of the actual explosion point of the bomb with the spatial distribution of the explosion point in the actual scene, and improves the accuracy of the spatial distribution model of the actual explosion point of the bomb; through the pre-selected target damage model and the spatial distribution model of the actual explosion point of the bomb, the damage effect of the guided bomb air burst on the ground target is accurately evaluated, which is suitable for evaluating application scenarios when the explosion point height dispersion is large or the bomb explosion effect is sensitive to height and the longitudinal and lateral landing point accuracy is different. BRIEF DESCRIPTION OF THE DRAWINGS

[0053] 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.

[0054] Figure 1 Schematic diagram of a flow chart of a damage effect calculation method considering different vertical and horizontal landing point accuracies according to an embodiment of the present invention. DETAILED DESCRIPTION

[0055] 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.

[0056] This embodiment provides a method for calculating the damage effect by considering the different vertical and horizontal landing point accuracies. Figure 1 , the damage effect calculation method includes:

[0057] Step S1: constructing a bomb delivery coordinate system and a target coordinate system to determine the systematic deviation and standard deviation of the bomb drop point corresponding to the bomb explosion point in the target coordinate system along the x-axis and y-axis directions, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system.

[0058] With the bomb's aiming point as the origin, a bomb delivery coordinate system is established. The coordinate axes are selected as the bomb delivery direction L (longitudinal) and its vertical direction H (horizontal). The longitudinal system deviation μ of the bomb landing point in the delivery coordinate system is determined. L , lateral system deviation μ H , longitudinal standard deviation σ L and the horizontal standard deviation σ H .

[0059] With the center of the target area as the origin, a target coordinate system is established, with the x-axis and y-axis generally pointing east and north, respectively. Let the angle of the delivery direction L relative to the x-axis of the target coordinate system be β (i.e., the third angle between the delivery direction of the bomb and the x-axis in the target coordinate system). This allows us to determine the systematic deviation and standard deviation of the bomb drop point along the x-axis and y-axis directions, as well as the correlation coefficient between the horizontal and vertical coordinates of the bomb drop point in the target coordinate system. The specific implementation process includes:

[0060] Step S11: constructing a bomb delivery coordinate system with the aiming point as the origin, the bomb delivery direction and its corresponding vertical direction as the x-axis and y-axis respectively, to determine the longitudinal systematic deviation, lateral systematic deviation, longitudinal standard deviation, and lateral standard deviation of the bomb landing point in the delivery coordinate system;

[0061] Step S12: construct a target coordinate system with the center of the target area as the origin, and east and north as the x-axis and y-axis, respectively, to determine a third angle between the bomb delivery direction and the x-axis in the target coordinate system;

[0062] Step S13: Calculate the systematic deviation and standard deviation of the bomb drop point along the x-axis and y-axis directions in the target coordinate system, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system, using the longitudinal systematic deviation, the lateral systematic deviation, the longitudinal standard deviation, the lateral standard deviation, and the third angle of the bomb drop point in the delivery coordinate system.

[0063] In this embodiment, the systematic deviation, standard deviation and correlation coefficient of the bomb drop point along the x-axis and y-axis in the target coordinate system are:

[0064] μ x =μ L cosβ-μ H sinβ

[0065] μ y =μ L sinβ+μ H cosβ

[0066]

[0067] Among them, μ x and μ y are the system deviations of the bomb drop point along the x-axis and y-axis in the target coordinate system; σ x and σ y are the standard deviations of the bomb drop points along the x-axis and y-axis in the target coordinate system, respectively; ρ is the correlation coefficient between the horizontal and vertical coordinates of the bomb drop points in the target coordinate system; μ L and μ H are the longitudinal system deviation and lateral system deviation of the bomb drop point in the delivery coordinate system; σ L and σ H are the longitudinal standard deviation and lateral standard deviation of the bomb drop point in the delivery coordinate system; β is the third angle between the bomb delivery direction and the x-axis in the target coordinate system, σ L ≠σ H ≠0, μ L ≠μ H ≠0.

[0068] Step S2: According to the actual explosion height conditions, the spatial distribution model of the actual explosion point of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point is determined by using the system deviation, standard deviation and the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system.

[0069] Only the explosion effect of the bomb in the air above the target is considered. Since the explosion height and the landing point control are independent of each other, the system error in the height direction can be ignored, that is, μ h = 0. The height of the bomb's explosion point is a normally distributed random variable with a probability density of:

[0070]

[0071] Among them, σ h The standard deviation is extremely high.

[0072] The coordinates of the aiming point in the target coordinate system are Assuming that the impact of the explosion height deviation is not considered, the bomb landing point is expressed in the target coordinate system as express, It obeys the normal distribution, and its probability density is:

[0073]

[0074] When the actual burst height h is a given value, its relative binding burst height h t There will be a deviation Δh=hh t , bomb drop point The explosion point and the explosion point are located in the horizontal plane of the bound burst height and the actual burst height, respectively. Therefore, there is a difference between the actual explosion point position and the landing point position. Assuming that the bomb flies in an approximately straight line near the bound burst height, the first angle between the projection of the bomb velocity vector on the horizontal plane and the x-axis of the target coordinate system is γ, and the second angle between the bomb velocity vector and the horizontal plane of the bound burst height is θ. Then the actual explosion point position (i.e., the corrected landing point) in the horizontal plane of the actual burst height is X h (x h ,y h ) and the bomb drop point position in the horizontal plane where the binding blast height is located There is a deviation, the deviation value is:

[0075]

[0076] Similarly, the equivalent aiming point at the actual blast height level is:

[0077]

[0078] remember To bind the spatial position of the explosion point, including the aiming point And binding explosion high h t. Let the spatial position of the bomb explosion point be W h (X h , h). When the actual burst height is given, W h The spatial distribution of can be expressed as a two-dimensional normal distribution. From equations (3) and (4), the spatial distribution model of the actual explosion point of the bomb can be derived.

[0079] In summary, the specific implementation process of this step includes:

[0080] Step S21, obtaining a first angle between the projection of the bomb velocity vector at the bomb explosion point on the horizontal plane where the binding explosion height is located and the x-axis of the target coordinate system, and a second angle between the bomb velocity vector and the horizontal plane where the binding explosion height is located;

[0081] Step S22: Calculate the equivalent aiming point of the bomb in the target coordinate system using the actual burst height, the bound burst height, the aiming point corresponding to the bound burst height, the first angle, and the second angle;

[0082] Step S23: Determine a spatial distribution model of the actual explosion point of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point by using the bomb equivalent aiming point and the systematic deviation, standard deviation and correlation coefficient of the bomb drop point along the x-axis and y-axis in the target coordinate system.

[0083] When the actual explosion height is determined, the spatial distribution model of the actual explosion point of the bomb is:

[0084]

[0085] Among them, f Xh (X h , W t |h) is the spatial distribution model of the actual explosion point of the bomb when the actual explosion height is determined; W t Bind the spatial location of the explosion point for the bomb; (x h ,y h ) is the bomb drop point X in the target coordinate system h The position coordinates of (x t ,y t ) is the bomb equivalent aiming point X in the target coordinate system t The position coordinates of . L ≠σ H ≠0, μ L ≠μ H ≠0, then σ x ≠σ y ≠0, μ x ≠μ y ≠0.

[0086] In general, the actual explosion height is an unknown random quantity, so the bomb explosion point W hBe a three-dimensional random variable, let the joint probability density be According to probability theory, assuming that the actual explosion height is known, the corrected bomb landing point position X h (x h ,y h ) can be expressed as:

[0087]

[0088] When the actual explosion height is not determined, the spatial distribution model of the actual explosion point of the bomb is:

[0089]

[0090] in, is the spatial distribution model of the actual explosion point of the bomb when the actual explosion height is not determined; W h is the spatial location of the bomb explosion point; is the bomb aiming point in the target coordinate system; (x h ,y h ) is the bomb drop point X in the target coordinate system h The position coordinates of (x t ,y t ) is the bomb equivalent aiming point X in the target coordinate system t The position coordinates of σ h is the standard deviation of the bomb's explosion height; h and h t They are actual burst height and bomb binding burst height respectively.

[0091] Bomb equivalent aiming point X in target coordinate system t The position coordinates are:

[0092]

[0093] Step S3: Select a target damage model, and use the target damage model and the actual explosion point spatial distribution model of the bomb to determine the damage effect of the bomb on different types of targets.

[0094] The target damage models in this embodiment include a step damage model, a continuous damage model, and a broken line damage model.

[0095] The step damage model D[d(X, X h )]for:

[0096]

[0097] Where h is the actual explosion height of the bomb in the target coordinate system; d(X, X h ) is the bomb drop point X in the target coordinate system h The distance from the target point X; Rd (X, h) is the determined damage threshold of target X; Δp d (X) is the shock wave overpressure threshold corresponding to the damage to target X; Y is the bomb power, in equivalents; It is the inverse function of the shock wave overpressure effect generated by the bomb air explosion on the ground point.

[0098] The continuous damage model D[d(X, X h )]for:

[0099]

[0100] Among them, R nd (X, h) is the determined damage-free threshold of target X.

[0101] The broken line damage model D[d(X, X h )]for:

[0102]

[0103] In summary, when the actual burst height is determined, the specific implementation process of this step includes:

[0104] Step S311: using the actual explosion point spatial distribution model of the bomb when the actual explosion height is determined and the target damage model, determine the first point target damage effect function represented by the damage probability.

[0105] The damage effect of bombs hitting point targets is expressed as damage probability, the damage effect of bombs hitting line targets is expressed as average damage length, and the damage effect of bombs hitting surface targets is expressed as average damage area. The explosion point of the bomb is determined according to whether the actual explosion height can be determined. The explosion point of the bomb obeys different spatial distributions. The damage effect on the target is calculated separately below.

[0106] When the actual explosion height is determined, the bomb explosion point W h Obeying the two-dimensional normal distribution defined by formula (6), the probability of the bomb damaging the point target X is:

[0107]

[0108] When the step damage model of formula (9) and the actual explosion point spatial distribution model of bombs when the actual explosion height is determined in formula (6) are substituted into (12), the first point target damage effect function q(X, W) is obtained. t ,h):

[0109]

[0110] z(α,R)=e -[a(α)+b(α)R]R

[0111]

[0112] Among them, (x, y) is the position coordinate of point target X; Δx, Δy, a(α), b(α), c(α), z(α, R) and erf(x) are all intermediate variables.

[0113] When the continuous damage model of formula (10) and the actual explosion point spatial distribution model of bombs when the actual explosion height is determined in formula (6) are substituted into (12), the first point target damage effect function q(X, W) is obtained. t , h):

[0114]

[0115] Where r is the distance from any point on the target plane to the origin of the target coordinate system; a(α) and b(α) are the same as those in formula (13).

[0116] When the broken line damage model of formula (11) and the actual explosion point spatial distribution model of bombs when the actual explosion height is determined in formula (6) are substituted into (12), the first point target damage effect function q(X, W) is obtained. t , h):

[0117]

[0118] Among them, a(α), b(α), and z(α, R) are the same as those in formula (13), and φ(α), ψ(α), and γ(α) are all intermediate variables.

[0119] Step S312: performing length integration processing on the first point target damage effect function along the line target length direction to obtain a first line target damage effect function characterized by an average damage length.

[0120] The first-line target damage effect function in this embodiment (i.e., the average damage length of the bomb to the line target Γ) is:

[0121] L(Γ,W t )=∫ X∈Γ q(X,W t ,h)dl(X);(16)

[0122] Where L(Γ, W t ) is the first-line target damage effect function; dl(X) is the length element at X∈Γ,

[0123]

[0124] When calculating formula (16), D[d(X, Xh ), h] can be selected from formula (9) to formula (11), and the corresponding q(X, W t , h) Select from formula (13) to formula (15).

[0125] Step S313: performing area integration processing on the first point target damage effect function along the surface target area to obtain a first surface target damage effect function characterized by an average damage area.

[0126] The first surface target damage effect function of this embodiment (i.e., the average damage area of ​​the bomb on the opposite target S) is:

[0127] A(S,W t )=∫∫ X∈s q(X,W t ,h)ds(X); (17)

[0128] Among them, A(S,W t ) is the first surface target damage effect function; ds(X) is the area element at point X∈S, ds(X)=dxdy.

[0129] When calculating formula (17), D[d(X, X h ), h] can be selected from formula (9) to formula (11), and the corresponding q(X,W t ,h) Select from formula (13) to formula (15).

[0130] Step S314: perform damage effect evaluation using the first point target damage effect function, the first line target damage effect function, and the first surface target damage effect function.

[0131] When the actual explosion height of the bomb is uncertain, the explosion point W h (X h ,h) obeys the three-dimensional distribution of formula (8), then the second point target damage effect function (the probability of the bomb damaging the point target X) is:

[0132]

[0133] Among them, p(X,W t ) is the probability of damage to point target X by the bomb when the actual blast height is not determined (i.e., the second point target damage effect function); is the spatial distribution model of the actual explosion point of the bomb when the actual explosion height is not determined; D[d(X,X h ),h] is the target damage model; h is the actual explosion height of the bomb; X is the target; W t Binding explosion point for the bomb; X h is the bomb drop point in the target coordinate system (i.e., the bomb's corrected drop point); (xh ,y h ) is the position coordinate of the bomb drop point in the target coordinate system; It is the bomb aiming point in the target coordinate system.

[0134] When the actual burst height is not determined, the specific implementation process of this step includes:

[0135] Step S321: Determine a second point target damage effect function characterized by damage probability by using the actual explosion point spatial distribution model of the bomb and the target damage model when the actual explosion height is not determined.

[0136] When the step damage model of formula (9) and the actual explosion point spatial distribution model of the bomb when the actual explosion height is not determined in formula (8) are substituted into (18), the second point target damage effect function p(X, W t ):

[0137]

[0138] Among them, a(α), b(α), c(α), z(α, R) and erf(x) are all intermediate variables.

[0139] When the continuous damage model of formula (10) and the actual explosion point spatial distribution model of the bomb when the actual explosion height is determined in formula (8) are substituted into (18), the first point target damage effect function p(X, W t ):

[0140]

[0141] Among them, r is the distance between any point on the target plane and the origin of the target coordinate system; a(α) and b(α), Same as in formula (13).

[0142] When the broken line damage model of formula (11) and the actual explosion point spatial distribution model of the bomb when the actual explosion height is determined in formula (8) are substituted into (18), the first point target damage effect function p(X, W) is obtained. t ):

[0143]

[0144] Among them, a(α), b(α), z(α,R), The same as in formula (13), φ(α), ψ(α), and γ(α) are the same as in formula (15).

[0145] Step S322: performing length integration processing on the second point target damage effect function along the line target length direction to obtain a second line target damage effect function characterized by an average damage length.

[0146] The second line target damage effect function of this embodiment (i.e., the average damage length of the bomb to the line target Γ) is:

[0147]

[0148] Where L(Γ, W t ) is the second-line target damage effect function; dl(X) is the length element at X∈Γ,

[0149]

[0150] When calculating formula (22), D[d(X,X h ),h] can be selected from formula (9) to formula (11), and the corresponding p(X,W t ) Select from formula (19) to formula (21).

[0151] Step S323: Perform area integration processing on the second point target damage effect function along the surface target area to obtain a second surface target damage effect function represented by the average damage area.

[0152] The second surface target damage effect function of this embodiment (i.e., the average damage area of ​​the bomb on the opposite target S) is:

[0153]

[0154] Among them, A(S,W t ) is the damage effect function of the second surface target; ds(X) is the area element at point X∈S, ds(X)=dxdy.

[0155] When calculating formula (23), D[d(X,X h ),h] can be selected from formula (9) to formula (11), and the corresponding p(X,W t ) Select from formula (19) to formula (21).

[0156] Step S324: perform damage effect evaluation using the second point target damage effect function, the second line target damage effect function, and the second surface target damage effect function.

[0157] This embodiment uses system deviation, standard deviation and correlation coefficient to determine the spatial distribution model of the actual explosion point of bombs under different actual explosion height conditions, corrects the influence of longitudinal and lateral errors of bomb landing points caused by random factors such as guidance control and flight environment on the spatial distribution of bomb explosion points, ensures the consistency of the spatial distribution model of the actual explosion point of bombs with the spatial distribution of explosion points in actual scenarios, and improves the accuracy of the spatial distribution model of the actual explosion point of bombs; through the pre-selected target damage model and the spatial distribution model of the actual explosion point of bombs, the damage effect of guided bomb air burst on ground targets is accurately evaluated. This embodiment is suitable for evaluating application scenarios where the explosion point height dispersion is large, the bomb explosion effect is sensitive to height, and the longitudinal and lateral landing point accuracy is different.

[0158] The above embodiment can be implemented by adopting the technical solutions given in the following embodiments:

[0159] Another embodiment provides a damage effect calculation system that considers different vertical and horizontal landing point accuracies. The damage effect calculation system includes:

[0160] A construction module is used to construct a bomb delivery coordinate system and a target coordinate system to determine the systematic deviation and standard deviation of the bomb drop point corresponding to the bomb explosion point in the target coordinate system along the x-axis and y-axis directions, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system;

[0161] The first determination module is used to determine the actual explosion point spatial distribution model of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point according to the actual explosion height condition using the system deviation, standard deviation and the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system;

[0162] The second determination module is used to select a target damage model and use the target damage model and the actual explosion point spatial distribution model of the bomb to determine the damage effect of the bomb on different types of targets.

[0163] Furthermore, the building blocks include:

[0164] The first construction submodule is used to construct a bomb delivery coordinate system with the aiming point as the origin, the bomb delivery direction and its corresponding vertical direction as the x-axis and y-axis respectively, so as to determine the longitudinal systematic deviation, lateral systematic deviation, longitudinal standard deviation and lateral standard deviation of the bomb landing point in the delivery coordinate system;

[0165] The second construction submodule is used to construct a target coordinate system with the center of the target area as the origin and the east and north as the x-axis and y-axis respectively, so as to determine the third angle between the bomb delivery direction and the x-axis in the target coordinate system;

[0166] The first calculation submodule is used to calculate the systematic deviation and standard deviation of the bomb drop point along the x-axis and y-axis directions in the target coordinate system, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system, by using the longitudinal systematic deviation, the lateral systematic deviation, the longitudinal standard deviation and the lateral standard deviation and the third angle of the bomb drop point in the delivery coordinate system.

[0167] Furthermore, the first determining module includes:

[0168] an acquisition submodule, for acquiring a first angle between the projection of the bomb velocity vector at the bomb explosion point on the horizontal plane where the binding burst height is located and the x-axis of the target coordinate system, and a second angle between the bomb velocity vector and the horizontal plane where the binding burst height is located;

[0169] The second calculation submodule is used to calculate the equivalent aiming point of the bomb in the target coordinate system by using the actual burst height of the bomb, the bound burst height, the aiming point corresponding to the bound burst height, the first angle, and the second angle;

[0170] The first determination submodule is used to determine the spatial distribution model of the actual explosion point of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point by using the bomb equivalent aiming point and the systematic deviation, standard deviation and correlation coefficient of the bomb drop point along the x-axis and y-axis directions in the target coordinate system.

[0171] Furthermore, when the actual burst height is determined, the second determination module includes:

[0172] The second determination submodule is used to determine the first point target damage effect function represented by the damage probability by using the actual explosion point spatial distribution model of the bomb and the target damage model when the actual explosion height is determined;

[0173] A first length integral processing submodule is configured to perform length integral processing on the first point target damage effect function along the line target length direction to obtain a first line target damage effect function characterized by an average damage length;

[0174] A first area integral processing submodule is configured to perform area integral processing on the first point target damage effect function along the surface target area to obtain a first surface target damage effect function represented by an average damage area;

[0175] The first damage effect evaluation submodule is used to perform damage effect evaluation using the first point target damage effect function, the first line target damage effect function and the first surface target damage effect function.

[0176] Furthermore, when the actual burst height is not determined, the second determining module includes:

[0177] The third determination submodule is used to determine the second point target damage effect function represented by the damage probability by using the actual explosion point spatial distribution model of the bomb and the target damage model when the actual explosion height is not determined;

[0178] A second length integral processing submodule is configured to perform length integral processing on the second point target damage effect function along the line target length direction to obtain a second line target damage effect function characterized by an average damage length;

[0179] A second area integral processing submodule is configured to perform area integral processing on the second point target damage effect function along the surface target area to obtain a second surface target damage effect function represented by an average damage area;

[0180] The second damage effect evaluation submodule is used to perform damage effect evaluation using the second point target damage effect function, the second line target damage effect function and the second surface target damage effect function.

[0181] The principles, formulas and parameter definitions involved in the above embodiments are all applicable and will not be described in detail here.

[0182] 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 damage effects taking into account different vertical and horizontal landing point accuracies, characterized in that: The damage effect calculation method includes: Step S1: constructing a bomb delivery coordinate system and a target coordinate system to determine the systematic deviation and standard deviation of the bomb drop point corresponding to the bomb explosion point in the target coordinate system along the x-axis and y-axis directions, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system; Step S2: According to the actual explosion height condition, the spatial distribution model of the actual explosion point of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point is determined by using the system deviation, standard deviation and the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system; Step S3: Select a target damage model, and use the target damage model and the actual explosion point spatial distribution model of the bomb to determine the damage effect of the bomb on different types of targets.

2. The damage effect calculation method according to claim 1, characterized in that: The specific implementation process of step S1 includes: Step S11: constructing a bomb delivery coordinate system with the aiming point as the origin, the bomb delivery direction and its corresponding vertical direction as the x-axis and y-axis respectively, to determine the longitudinal systematic deviation, lateral systematic deviation, longitudinal standard deviation, and lateral standard deviation of the bomb landing point in the delivery coordinate system; Step S12: construct a target coordinate system with the center of the target area as the origin, and east and north as the x-axis and y-axis, respectively, to determine a third angle between the bomb delivery direction and the x-axis in the target coordinate system; Step S13: Calculate the systematic deviation and standard deviation of the bomb drop point along the x-axis and y-axis directions in the target coordinate system, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system, using the longitudinal systematic deviation, the lateral systematic deviation, the longitudinal standard deviation, the lateral standard deviation, and the third angle of the bomb drop point in the delivery coordinate system.

3. The damage effect calculation method according to claim 2, characterized in that: The specific implementation process of step S2 includes: Step S21, obtaining a first angle between the projection of the bomb velocity vector at the bomb explosion point on the horizontal plane where the binding explosion height is located and the x-axis of the target coordinate system, and a second angle between the bomb velocity vector and the horizontal plane where the binding explosion height is located; Step S22: Calculate the equivalent aiming point of the bomb in the target coordinate system using the actual burst height, the bound burst height, the aiming point corresponding to the bound burst height, the first angle, and the second angle; Step S23: Determine a spatial distribution model of the actual explosion point of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point by using the bomb equivalent aiming point and the systematic deviation, standard deviation and correlation coefficient of the bomb drop point along the x-axis and y-axis in the target coordinate system.

4. The damage effect calculation method according to claim 3, characterized in that: When the actual burst height is determined, the specific implementation process of step S3 includes: Step S311: using the actual explosion point spatial distribution model of the bomb when the actual explosion height is determined and the target damage model, determine the first point target damage effect function represented by the damage probability; Step S312: performing length integration processing on the first point target damage effect function along the line target length direction to obtain a first line target damage effect function represented by an average damage length; Step S313: performing area integration processing on the first point target damage effect function along the surface target area to obtain a first surface target damage effect function represented by an average damage area; Step S314: perform damage effect evaluation using the first point target damage effect function, the first line target damage effect function, and the first surface target damage effect function.

5. The damage effect calculation method according to claim 3, characterized in that: When the actual burst height is not determined, the specific implementation process of step S3 includes: Step S321: Determine a second point target damage effect function represented by damage probability by using the actual explosion point spatial distribution model of the bomb and the target damage model when the actual explosion height is not determined; Step S322: performing length integration processing on the second point target damage effect function along the line target length direction to obtain a second line target damage effect function represented by an average damage length; Step S323: performing area integration processing on the second point target damage effect function along the surface target area to obtain a second surface target damage effect function represented by an average damage area; Step S324: perform damage effect evaluation using the second point target damage effect function, the second line target damage effect function, and the second surface target damage effect function.

6. A damage effect calculation system taking into account different vertical and horizontal landing point accuracies, characterized in that: The damage effect calculation system includes: A construction module is used to construct a bomb delivery coordinate system and a target coordinate system to determine the systematic deviation and standard deviation of the bomb drop point corresponding to the bomb explosion point in the target coordinate system along the x-axis and y-axis directions, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system; The first determination module is used to determine the actual explosion point spatial distribution model of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point according to the actual explosion height condition using the system deviation, standard deviation and the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system; The second determination module is used to select a target damage model and use the target damage model and the actual explosion point spatial distribution model of the bomb to determine the damage effect of the bomb on different types of targets.

7. The damage effect calculation system according to claim 6, characterized in that: The building blocks include: The first construction submodule is used to construct a bomb delivery coordinate system with the aiming point as the origin, the bomb delivery direction and its corresponding vertical direction as the x-axis and y-axis respectively, so as to determine the longitudinal systematic deviation, lateral systematic deviation, longitudinal standard deviation and lateral standard deviation of the bomb landing point in the delivery coordinate system; The second construction submodule is used to construct a target coordinate system with the center of the target area as the origin and the east and north as the x-axis and y-axis respectively, so as to determine the third angle between the bomb delivery direction and the x-axis in the target coordinate system; The first calculation submodule is used to calculate the systematic deviation and standard deviation of the bomb drop point along the x-axis and y-axis directions in the target coordinate system, as well as the correlation coefficient between the horizontal coordinate and the vertical coordinate of the bomb drop point in the target coordinate system, by using the longitudinal systematic deviation, the lateral systematic deviation, the longitudinal standard deviation and the lateral standard deviation and the third angle of the bomb drop point in the delivery coordinate system.

8. The damage effect calculation system according to claim 7, characterized in that: The first determining module includes: an acquisition submodule, for acquiring a first angle between the projection of the bomb velocity vector at the bomb explosion point on the horizontal plane where the binding burst height is located and the x-axis of the target coordinate system, and a second angle between the bomb velocity vector and the horizontal plane where the binding burst height is located; The second calculation submodule is used to calculate the equivalent aiming point of the bomb in the target coordinate system by using the actual burst height of the bomb, the bound burst height, the aiming point corresponding to the bound burst height, the first angle, and the second angle; The first determination submodule is used to determine the spatial distribution model of the actual explosion point of the bomb under the conditions of vertical and horizontal accuracy of the bomb drop point by using the bomb equivalent aiming point and the systematic deviation, standard deviation and correlation coefficient of the bomb drop point along the x-axis and y-axis directions in the target coordinate system.

9. The damage effect calculation system according to claim 8, characterized in that: When the actual burst height is determined, the second determination module includes: The second determination submodule is used to determine the first point target damage effect function represented by the damage probability by using the actual explosion point spatial distribution model of the bomb and the target damage model when the actual explosion height is determined; A first length integral processing submodule is configured to perform length integral processing on the first point target damage effect function along the line target length direction to obtain a first line target damage effect function characterized by an average damage length; A first area integral processing submodule is configured to perform area integral processing on the first point target damage effect function along the surface target area to obtain a first surface target damage effect function represented by an average damage area; The first damage effect evaluation submodule is used to perform damage effect evaluation using the first point target damage effect function, the first line target damage effect function and the first surface target damage effect function.

10. The damage effect calculation system according to claim 8, characterized in that: When the actual burst height is not determined, the second determination module includes: The third determination submodule is used to determine the second point target damage effect function represented by the damage probability by using the actual explosion point spatial distribution model of the bomb and the target damage model when the actual explosion height is not determined; A second length integral processing submodule is configured to perform length integral processing on the second point target damage effect function along the line target length direction to obtain a second line target damage effect function characterized by an average damage length; A second area integral processing submodule is configured to perform area integral processing on the second point target damage effect function along the surface target area to obtain a second surface target damage effect function represented by an average damage area; The second damage effect evaluation submodule is used to perform damage effect evaluation using the second point target damage effect function, the second line target damage effect function and the second surface target damage effect function.

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