A method for calculating the bomb requirement of aerial bombs attacking bridge targets

Abstract

The present application relates to a kind of aviation bomb bridge target ammunition demand calculation method of attack, belong to weapon combat effectiveness evaluation field.It includes when bomb enters target with 0 or 90 ° azimuth, bridge target can be regarded as a plane target, the effective length L ET And width W ET Of bomb damage area can be obtained;Bomb precision function g (x) and damage function c (x) are defined in horizontal, the expected value of single bomb under different bomb release error is obtained by integration, the damage probability of target in transverse direction;Bomb precision function g (y) and damage function c (y) are defined in longitudinal direction;Single aviation bomb damage probability to bridge attack is calculated by considering bomb reliability;Finally, the number of bomb reaching predetermined damage effect P D The present application solves the problem of efficiency evaluation of aviation bomb to bridge target in different entry directions.

Description

TECHNICAL FIELD

[0001] The application relates to a method for calculating ammunition requirement of an aerial bomb attacking a bridge target, and belongs to the field of weapon combat effectiveness evaluation. BACKGROUND

[0002] The current combat research is quite stereotyped. The calculation means and ability are insufficient, and the grasp of the war law has not been scientifically calculated based on mathematics and logic, which is a big problem we are facing at present and seriously affects the effectiveness of various weapon systems. The calculation of ammunition requirement of an aerial bomb attacking a bridge target is one of the difficult problems in the planning of a plane attacking a target on the ground. At present, the calculation of ammunition requirement is mainly based on the precision of the aerial bomb, the shape of the bridge target and the like, and a relative coverage area percentage is used. The method is realized through the following four steps.

[0003] Step 1: calculating the longitudinal average coverage percentage M x

[0004] Step 2: calculating the transverse average coverage percentage M y

[0005] Step 3: calculating the longitudinal damage density p x , the transverse damage density p y and the total damage density p

[0006] Step 4: calculating the average damage percentage M

[0007] The problems of the above method are as follows: 1. The above method considers that the effective damage area of the aerial bomb is constant, but the effective damage area is actually related to the bomb impact angle when the bomb lands, and different bomb impact angles correspond to different damage areas in shape and size; 2. The damage effect of each position in the aerial bomb damage area on the target is different, and the above calculation process does not consider the same. SUMMARY

[0008] The application aims to provide a method for calculating ammunition requirement of an aerial bomb attacking a bridge target, and solves the problem of effectiveness evaluation of the aerial bomb on the bridge target in different entering directions.

[0009] The method for calculating ammunition requirement of an aerial bomb attacking a bridge target provided by the application has the speciality that the following steps are included.

[0010] Step 1: when the bomb enters the target at a 0° or 90° azimuth angle, the bridge target is regarded as a surface target, the effective length L ET and the width W ET of the bomb damage area can be obtained, and the calculation formula is shown in formula (1) and (2):

[0011] LET = L A + 2b (1)

[0012] W ET = W A + 2a (2)

[0013] In formula (1), (2), a represents the width of the bomb damage rectangle, b represents the length of the bomb damage rectangle, L A represents the length of the bridge, and W A represents the width of the bridge. When the bomb enters the target at other angles, the bridge target is regarded as a surface target for analysis, and the shape of the effective size of the target is determined by the cut-off method.

[0014] Step 2: Define the bomb precision function g(x) and the damage function c(x) on the horizontal plane, wherein g(x) is a Gaussian probability density function, which is a normal distribution with zero mean; c(x) is a one-dimensional Caltorn damage function, which reflects the damage probability of the bomb to the target at different miss distances. The expected value of the damage probability of a single bomb to the target in the horizontal direction at different bomb release errors is obtained by integration, see formula (3):

[0015]

[0016] Wherein: L EP is the length of the effective damage area of the bomb, and REP is the longitudinal deviation of the bomb;

[0017] Step 3: Define the bomb precision function g(y) and the damage function c(y) in the longitudinal direction to obtain formula (4):

[0018]

[0019] Wherein: W EP is the width of the effective damage area of the bomb, and DEP is the lateral deviation of the bomb

[0020] Step 4: The damage probability of a single aerial bomb to the bridge is calculated considering the reliability of the bomb, see formula (5):

[0021] SSPD = SPD x × SPD y × R (5)

[0022] Step 5: Obtain the number of bombs to achieve the predetermined damage effect P D , see formula (6):

[0023]

[0024] The present application has the following advantages: (1) When the aerial bomb attacks the bridge target, the damage area shape is different due to the different entry angles, in order to facilitate the calculation, the damage area is equivalently processed, which greatly reduces the calculation amount; (2) The damage effect of each position in the aerial bomb damage area on the target is different, therefore, when calculating the damage probability, it must be considered, the ammunition demand estimation calculation method provided by the present application combines the aerial bomb drop point accuracy and damage effect, thereby ensuring the correctness of the calculation result. BRIEF DESCRIPTION OF DRAWINGS

[0025] Figure 1 Figure 1 is a diagram of the present application when the aircraft entry direction is parallel to the bridge direction;

[0026] Figure 2 Figure 2 is a diagram of the present application when the aircraft entry direction is perpendicular to the bridge direction;

[0027] Figure 3 Figure 3 is a diagram of the present application when the aircraft entry direction is an acute angle to the bridge direction;

[0028] Figure 4 Figure 4 is a diagram of the present application when the cutting and filling method is used to calculate the effective size area of the target;

[0029] Figure 5 Figure 5 is a diagram of the present application when the effective damage target size is calculated;

[0030] Figure 6 Figure 6 is a diagram of the bridge. DETAILED DESCRIPTION

[0031] The present application will be further described below in combination with the drawings.

[0032] It is known that the total length of the bridge L A = 340 meters, the bridge deck width W A = 30 meters, see Figure 6 The bomb performance is as follows: reliability R = 0.85, bomb drop accuracy lateral deviation DEP = 6.5 meters, REP = 6.4 meters, damage rectangular area length b = 10.0 meters, width a = 3.60 meters. The aircraft enters the bridge at an angle of α = 60°. To make the bridge damage probability 0.9, how many aerial bombs are needed at least?

[0033] The present application is a kind of calculation aerial bomb strikes bridge target ammunition demand estimation method, comprising the following steps:

[0034] Step 1: When the aircraft entry direction is an acute angle to the bridge target, the killing area is filled into a rectangle by using the cutting and filling method (see the attached Figures 1-5 ), the area of the triangle can be calculated as:

[0035] Sa = 0.5 × 2a sin a × 2a cos a = 2a 2 sin a cos a = 2.8

[0036] S b = 0.5 x 2bsina x 2bcosa = 2b 2 sinacosa = 86.6

[0037] The length of the completed rectangle is:

[0038] L = LA + 2bcosa + 2asina = 356.2

[0039] The width of the completed rectangle is:

[0040] W = WA + 2acosa + 2bsina = 50.9

[0041] The area S of the target effective size is: w

[0042] SW = L x W - 2S a - 2Sb = 17951.8

[0043] The length and width of the equivalent rectangle of the damage area of the aerial bomb:

[0044] Convert the damage area into a damage rectangle with a length L EP and a width W EP , as shown in the accompanying drawings, to obtain: Figure 5

[0045] LEP = L = 356.2

[0046]

[0047] Step 2: The expected value of the target damage probability in the transverse direction

[0048]

[0049] Step 3: The expected value of the target damage probability in the longitudinal direction

[0050]

[0051] Step 4: The single-bomb damage probability is:

[0052] SSPD = SPD x x SPD y x R = 0.997 x 0.881 x 0.85 = 0.75

[0053] Step 5: Calculate the bomb demand measure:

[0054]

[0055] ​​To make the probability of damaging the bridge reach 0.9, at least 1.7 aerial bombs are needed.

[0056] The damage probability of the aerial bomb to the bridge target is different at different entering angles, and the damage probability obtained by the relative area covering method cannot reflect the difference, and therefore the method can effectively solve the bomb demand calculation problem of the airplane to the bridge target at different entering directions.

Claims

1. A method for calculating the bomb requirement of an aerial bomb hitting a bridge target, characterized in that The method comprises the following steps: Step 1: When the bomb enters the target with an azimuth angle of 0° or 90°, the bridge target is regarded as a surface target, and the effective length L of the bomb damage area can be obtained ET and the width W ET , see formulas (1), (2) for calculation formula: L ET = L A + 2b (1) W ET = W A + 2a (2) In the formulas (1) and (2), a represents the width of the bomb damage rectangle, b represents the length of the bomb damage rectangle, L A represents the length of the bridge, and W A represents the width of the bridge. When the bomb enters the target at another angle, the bridge target is regarded as a surface target for analysis, and the shape of the effective size of the target is determined by the cut-off method. Step 2: define the bomb precision function g(x) and the damage function c(x) on the horizontal, wherein g(x) is a Gaussian probability density function, and is a normal distribution with zero mean; c(x) is a one-dimensional Caltorn damage function, which reflects the damage probability of the bomb to the target under different miss distances; the expected value of the damage probability of a single bomb to the target in the horizontal direction under different bomb release errors is obtained by integration, refer to formula (3): where: L EP is the length of the effective damage area of the bomb, and REP is the longitudinal deviation of the bomb. Step 3: define the bomb precision function g(y) and the damage function c(y) in the vertical direction, and obtain formula (4): where: W EP is the width of the bomb's effective damage area, DEP is the lateral deviation of the bomb Step 4: consider the bomb reliability to calculate the damage probability of a single aerial bomb to the bridge, refer to formula (5): SSPD = SPD x x SPD y x R (5) Step 5: The number of bombs to reach the predetermined damage effect P is obtained, see equation (6): D N = P / (D * S) (6)

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