Method for calculating amount of ammunition used for accumulated damage of bridge floor hit by open-space ammunition

Abstract

The invention relates to the technical field of damage evaluation, in particular to a method for calculating the accumulated damage ammunition consumption of an open-space ammunition hitting bridge floor, which comprises the following steps of: according to the open-space ammunition hitting bridge floor to each damage degree, determining the coordinates of a hit point by utilizing Monte Carlo simulation, judging whether the hit point is hit or not, and calculating the damage probability; the open space ammunition amount required for destroying the bridge deck by the open space ammunition to reach the damage level can be rapidly calculated through the ammunition using amount corresponding to the damage probability, reasonable supply and preparation of the ammunition amount are guaranteed, and then a bridge deck target strike strategy is formulated.

Description

Technical Field

[0001] The invention relates to the technical field of damage assessment, in particular to a method for calculating the amount of ammunition used for cumulative damage caused by air-to-ground ammunition in striking a bridge deck. Background Art

[0002] In military operations, bridges are often responsible for transporting combat materials and equipment, and are key targets of ammunition strikes in military operations. If the bridges that the enemy needs to pass through can be quickly destroyed in combat, the enemy's attack or retreat process can be effectively delayed, allowing the initiative to be seized in combat. Therefore, the military field of various countries attaches great importance to the research on the destruction of bridge targets, and has formed a number of technical documents on bridge blockade and bridge damage. For example: Patent application No. 201910594881.7 discloses a method for calculating the probability of blocking a large steel-concrete simply supported beam bridge by multiple missiles. The initial ammunition landing point distribution characteristics, bridge parameters, vehicle parameters, aiming point selection, ammunition usage and other parameters are used to determine the probability of blocking the bridge.

[0003] In actual combat, bridge damage mainly involves damage to the bridge deck. If the damage to the bridge deck exceeds its passage width, the bridge's passage function is lost, that is, the bridge is damaged, achieving the purpose of delaying the enemy's military operations. Therefore, in order for the bridge to achieve the above purpose, the amount of ammunition required has become the key to bridge military strikes, and it is also the key to whether the material preparation and distribution in actual combat are reasonable. In view of this, this researcher provides a new method for calculating the amount of ammunition required for bridge destruction strikes based on the perspectives of sufficient material preparation, economical use of materials, and rational distribution of material transportation in actual combat. Summary of the invention

[0004] In order to solve the above technical problems existing in the prior art, the present invention provides a method for calculating the amount of ammunition used for cumulative damage to a bridge deck when air-to-ground ammunition is used to strike the bridge deck.

[0005] This is achieved specifically through the following technical solutions:

[0006] The method for calculating the amount of ammunition used for cumulative damage to the bridge deck by air-to-ground ammunition includes the following steps:

[0007] (1) Coordinate system establishment:

[0008] The width of the bridge is recorded as a, the length of the bridge is recorded as b, the length direction of the bridge deck is the y coordinate, the width direction is the x coordinate, and the x coordinate is located on the center line of the bridge length;

[0009] (2) Destruction model establishment:

[0010] In actual combat, bridge damage mainly involves damage to the bridge deck. If the damage to the bridge deck exceeds its passage width, the bridge loses its passage function, which is the damage width. Definition: The maximum damage width of the bridge deck destroyed by air-to-ground ammunition is L Hmax , and LHmax ≥a / 8, slight damage; L Hmax ≥a / 4, moderate damage; L Hmax ≥a / 2, severe damage; L Hmax ≥3a / 4, destroyed;

[0011] (3) Simulation calculation of damage probability:

[0012] ① Determination of the coordinates of the hit point

[0013] Using Monte Carlo simulation, let the aiming point be (x0, y0), use the following formula to generate a two-dimensional normal distribution random variable (x, y), and use (x, y) to represent the coordinates of the hit point:

[0014] x=x0+0.8493218×CEP×(-2ln(r1)) 1 / 2 ×sin(2π×r2)

[0015] y=y0+0.8493218×CEP×(-2ln(r1)) 1 / 2 ×cos(2π×r2)

[0016] Where: CEP is a constant, r1 and r2 are random variables uniformly distributed on [0,1];

[0017] ② Determine the hit rate and damage probability calculation:

[0018] Based on the coordinates of the hit point and the established coordinate system, determine whether the air-to-ground ammunition hits the bridge deck; given the damage radius R of the air-to-ground ammunition to the bridge deck, calculate the damage width Ln of each air-to-ground ammunition hitting the bridge deck, and calculate the maximum damage width L of the air-to-ground ammunition hitting the bridge deck Hmax , and then judge and count the number of times n and k of reaching the damage level according to the destruction model, and use the following formula to calculate the probability of air-to-ground ammunition hitting the bridge deck: max :

[0019] P max =n / k;

[0020] (4) Calculation using the amount of ammunition:

[0021] According to the damage probability corresponding to the different degrees of destruction of the bridge deck, the amount of ammunition used to achieve the corresponding damage level can be known.

[0022] The maximum damage width L HmaxThe algorithm is as follows: the damage radius of each air-to-ground munition to the bridge deck is R, the damage range of the air-to-ground munition to the bridge deck in the length direction b is H, the sections along the positive direction of the y-axis in the range H are the first section, the second section, the third section, ..., the nth section, the spacing between two adjacent sections is Δh, the damage width corresponding to each section is L1, L2, L3, ..., Ln, the damage width corresponding to each section is summed, and when Δh is small enough, the maximum damage width of the air-to-ground munition to the bridge deck can be obtained: L Hmax =max(L1, L2, ..., L n ).

[0023] Compared with the prior art, the technical effects created by the present invention are embodied in:

[0024] (1) The method created by the present invention can quickly calculate the amount of air-to-ground ammunition required to destroy the bridge deck to achieve the damage level, thereby ensuring the reasonable supply and allocation of ammunition.

[0025] (2) The method created by the present invention can be applied to the amount of ammunition required when various ammunition destroys the bridge deck to a certain degree of damage, thereby achieving rational supply and deployment.

[0026] (3) The method of the present invention can be used to calculate the best hit point when air-to-ground ammunition destroys the bridge deck. BRIEF DESCRIPTION OF THE DRAWINGS

[0027] Figure 1 A bridge coordinate system and aiming point schematic diagram are created for the present invention.

[0028] Figure 2 A schematic diagram of damage to a bridge deck caused by air-to-ground ammunition is created for the present invention. DETAILED DESCRIPTION

[0029] The technical solution of the present invention is further defined below in conjunction with the accompanying drawings and specific implementation methods, but the scope of protection required is not limited to the description.

[0030] The method for calculating the amount of ammunition used for cumulative damage to the bridge deck by air-to-ground ammunition includes the following steps:

[0031] (1) Coordinate system establishment:

[0032] like Figure 1 As shown, the bridge width is recorded as a, the bridge length is recorded as b, the bridge deck length direction is the y coordinate, the width direction is the x coordinate, and the x coordinate is located on the center line of the bridge length; Figure 1 As shown in the figure, when N air-to-ground munitions are used to attack a bridge, the aiming points are on the same straight line and the interval distance is a / (n+1), then the aiming point of the i-th air-to-ground munition is (ai / (n+1), 0).

[0033] (2) Destruction model establishment:

[0034] In actual combat, bridge damage mainly refers to damage to the bridge deck structure. If the bridge deck damage exceeds its passage width, the bridge will lose its passage function and be considered damaged, that is, the damage width exceeds its passage width. Definition: The maximum damage width of the bridge deck destroyed by air-to-ground ammunition is L Hmax , and L Hmax ≥a / 8, slight damage; L Hmax ≥a / 4, moderate damage; L Hmax ≥a / 2, severe damage; L Hmax ≥3a / 4, destroyed;

[0035] (3) Simulation calculation of damage probability:

[0036] ① Determination of the coordinates of the hit point

[0037] Using Monte Carlo simulation, let the aiming point be (x0, y0), use the following formula to generate a two-dimensional normal distribution random variable (x, y), and use (x, y) to represent the coordinates of the hit point:

[0038] x=x0+0.8493218×CEP×(-2ln(r1)) 1 / 2 ×sin(2π×r2)

[0039] y=y0+0.8493218×CEP×(-2ln(r1)) 1 / 2 ×cos(2π×r2)

[0040] Where: CEP is a constant, r1 and r2 are random variables uniformly distributed on [0,1];

[0041] ② Determine the hit rate and damage probability calculation:

[0042] Based on the coordinates of the hit point and the established coordinate system, determine whether the air-to-ground ammunition hits the bridge deck; given the damage radius R of the air-to-ground ammunition to the bridge deck, calculate the damage width Ln of each air-to-ground ammunition hitting the bridge deck, and calculate the maximum damage width L of the air-to-ground ammunition hitting the bridge deck Hmax , and then judge and count the number of times n and k of reaching the damage level according to the destruction model, and use the following formula to calculate the probability of air-to-ground ammunition hitting the bridge deck: max :

[0043] P max =n / k;

[0044] (4) Calculation using the amount of ammunition:

[0045] According to the damage probability corresponding to the different degrees of destruction of the bridge deck, the amount of ammunition used to achieve the corresponding damage level can be known.

[0046] like Figure 2 As shown, the maximum damage width L Hmax The algorithm is as follows: the damage radius of each air-to-ground munition to the bridge deck is R, the damage range of the air-to-ground munition to the bridge deck in the length direction b is H, the sections along the positive direction of the y-axis in the range H are the first section, the second section, the third section, ..., the nth section, the spacing between two adjacent sections is Δh, the damage width corresponding to each section is L1, L2, L3, ..., Ln, the damage width corresponding to each section is summed, and when Δh is small enough, the maximum damage width of the air-to-ground munition to the bridge deck can be obtained: L Hmax =max(L1,L2,L3……L n ).

[0047] For other matters not covered by the present invention, those skilled in the art may refer to the prior art or common knowledge known to those skilled in the art and implement them by conventional technical means, for example, determination of the constant CEP under Monte Carlo simulation conditions, determination of the random variables r1 and r2 uniformly distributed on [0,1], etc., determination of the damage radius of air-to-ground ammunition to the bridge deck, etc.

[0048] The above description is only a preferred specific implementation manner of the present invention, but the protection scope of the present invention is not limited thereto. Any technician familiar with the technical field can make equivalent replacements or changes according to the technical scheme and inventive concept of the present invention within the technical scope disclosed by the present invention, which should be covered by the protection scope of the present invention.

Claims

1. A method for calculating the amount of ammunition used to damage the bridge deck when air-to-ground ammunition is used to attack the bridge deck, characterized in that: The following steps are involved: (1) Coordinate system establishment: The width of the bridge is recorded as a, the length of the bridge is recorded as b, the length direction of the bridge deck is the y coordinate, the width direction is the x coordinate, and the x coordinate is located on the center line of the bridge length; (2) Destruction model establishment: In actual combat, bridge damage mainly involves damage to the bridge deck. If the damage to the bridge deck exceeds its passage width, the bridge loses its passage function, which is the damage width. Definition: The maximum damage width of the bridge deck destroyed by air-to-ground ammunition is L Hmax , and L Hmax ≥a / 8, slight damage; L Hmax ≥a / 4, moderate damage; L Hmax ≥a / 2, severe damage; L Hmax ≥3a / 4, destroyed; (3) Simulation calculation of damage probability: ① Determination of the coordinates of the hit point Using Monte Carlo simulation, let the aiming point be (x0, y0), use the following formula to generate a two-dimensional normal distribution random variable (x, y), and use (x, y) to represent the coordinates of the hit point: x=x0+0.8493218×CEP×(-2ln(r1)) 1 / 2 ×sin(2π×r2) y=y0+0.8493218×CEP×(-2ln(r1)) 1 / 2 ×cos(2π×r2) Where: CEP is a constant, r1 and r2 are random variables uniformly distributed on [0,1]; ② Determine the hit rate and damage probability calculation: Based on the coordinates of the hit point and the established coordinate system, determine whether the air-to-ground ammunition hits the bridge deck; given the damage radius R of the air-to-ground ammunition to the bridge deck, calculate the damage width Ln of each air-to-ground ammunition hitting the bridge deck, and calculate the maximum damage width L of the air-to-ground ammunition hitting the bridge deck Hmax , and then judge and count the number of times n and k of reaching the damage level according to the destruction model, and use the following formula to calculate the probability of air-to-ground ammunition hitting the bridge deck: max : P max =n / k; (4) Calculation using the amount of ammunition: According to the damage probability corresponding to the different degrees of destruction of the bridge deck, the amount of ammunition used to achieve the corresponding damage level can be known.

2. The method for calculating the cumulative damage of air-to-ground ammunition against a bridge deck as claimed in claim 1, characterized in that: The maximum damage width L Hmax The algorithm is as follows: the damage radius of each air-to-ground munition to the bridge deck is R, the damage range of the air-to-ground munition to the bridge deck in the length direction b is H, the sections along the positive direction of the y-axis in the range H are the first section, the second section, the third section, ..., the nth section, the spacing between two adjacent sections is Δh, the damage width corresponding to each section is L1, L2, L3, ..., Ln, the damage width corresponding to each section is summed, and when Δh is small enough, the maximum damage width of the air-to-ground munition to the bridge deck can be obtained: L Hmax =max(L1, L2, ..., L n ).

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