American military GBU-39 / B small-diameter bomb penetration depth calculation method

Abstract

The invention relates to the technical field of bomb penetration, in particular to an American military GBU-39 / B small-diameter bomb penetration depth calculation method, which utilizes the design of combining a finite element simulation model and an engineering algorithm model, verifies the bomb penetration depth through the finite element simulation model, constructs the engineering algorithm model by taking the verification result as the standard, and calculates the penetration depth of a bomb. And a formula suitable for calculating the penetration depth of the GBU-39 / B small-diameter bomb to the target is formed by correcting the constructed engineering algorithm model, so that support is provided for quickly calculating and evaluating the damage efficiency of the GBU-39 / B.

Description

Technical Field

[0001] The invention relates to the technical field of bomb penetration, in particular to a method for calculating the penetration depth of a US Army GBU-39 / B small-diameter bomb. Background Art

[0002] The GBU-39 / B small-diameter guided bomb is equipped with a penetrating blasting warhead, which mainly penetrates and damages ground targets such as buildings. Research on the degree and depth of penetration and damage of this bomb on ground targets such as buildings will help to formulate strategies for defending against GBU-39 / B small-diameter guided bomb attacks or using GBU-39B small-diameter guided bombs to attack targets.

[0003] At present, there are two main methods for calculating the penetration and damage effectiveness of bombs hitting targets: one is the finite element simulation model; the other is the U.S. Army Engineers algorithm model (ACE model). However, the finite element simulation model has the characteristics of high accuracy but long time consumption; the ACE model has the characteristics of short simulation time but poor accuracy.

[0004] Based on this, the researchers introduced the finite element model to conduct simulation research on the defects of the existing engineering algorithm (ACE model), and rebuilt the engineering algorithm model to improve the accuracy of the engineering algorithm model in calculating the penetration and damage effectiveness of the GBU-39 / B small-diameter guided bomb, providing a new method for evaluating the penetration and damage effectiveness of the GBU-39 / B small-diameter guided bomb. Summary of the invention

[0005] In order to solve the above technical problems existing in the prior art, the present invention provides a method for calculating the penetration depth of a US military GBU-39 / B small-diameter bomb.

[0006] This is achieved specifically through the following technical solutions:

[0007] The calculation method of penetration depth of the US military GBU-39 / B small diameter bomb includes:

[0008] Step 1: Finite element simulation model verification:

[0009] S1: Establishing a finite element simulation model of a GBU-39 / B small diameter bomb; the finite element simulation model includes a warhead and a target;

[0010] S2: using the penetration power index of the GBU-39 / B small diameter bomb to verify the finite element simulation model of the warhead and the target, and forming a penetration damage structure;

[0011] Step 2: Build and verify the engineering algorithm model:

[0012] S1: Based on the verification results of the finite element simulation model, the engineering algorithm model is constructed based on the ACE model;

[0013] S2: Modify the constructed engineering algorithm model to form the following penetration depth calculation formula:

[0014]

[0015] Where L is the penetration depth, cm; m is the warhead mass, kg; A is the cross-sectional area of ​​the warhead, cm 2 ; Vc is the impact velocity, m / s; d is the warhead diameter, cm; δ is the target plate strength, MPa.

[0016] The design combines "finite element simulation model + engineering algorithm model", is verified by the finite element simulation model, and the engineering algorithm model is constructed based on the verification result. Then, the constructed engineering algorithm model is corrected to form a formula suitable for calculating the penetration depth of the GBU-39 / B small diameter bomb into the target, which provides support for the rapid calculation and evaluation of the damage effectiveness of GBU-39 / B.

[0017] Preferably, the penetration power index of the GBU-39 / B small-diameter bomb is a penetration depth of 1.80 mm on the target under the conditions of a target impact speed of 426.7 m / s and an impact angle of 2°.

[0018] Preferably, the finite element simulation model is established based on the structural characteristics and power indicators of the GBU-39 / B small diameter bomb, and ignoring the influence of the impact angle on the penetration depth.

[0019] Preferably, the warhead comprises a shell and a charge model, the shell is an alloy steel shell, and the charge is made of PLASTIC KINEMATIC material; the target adopts a HJC model.

[0020] More preferably, the warhead parameters are:

[0021]

[0022] , and the target parameters are:

[0023]

[0024] Compared with the prior art, the technical effects created by the present invention are embodied in:

[0025] The invention creates a combination of "finite element simulation + engineering algorithm simulation" to simulate and calculate the penetration and blasting damage effectiveness of the GBU-39 / B small-diameter guided bomb, respectively, and forms a revised engineering algorithm formula to calculate the penetration depth of the GBU-39 / B small-diameter guided bomb, which greatly improves the accuracy of the engineering algorithm model calculation, fully utilizes the advantage of the engineering algorithm simulation model in short time consumption, and provides a model support for quickly calculating and evaluating the damage effectiveness of the GBU-39 / B. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] Figure 1 A schematic diagram of a finite element simulation model is created for the present invention.

[0027] 1- Warhead 2- Target 3- Penetration and destruction structure.

[0028] Figure 2 A finite element simulation model is created for the present invention to verify the penetration depth curve.

[0029] Figure 3 A finite element simulation model is created for the present invention to verify the penetration velocity curve diagram.

[0030] Figure 4 A penetration depth-target velocity relationship diagram for each model is created for the present invention.

[0031] Figure 5 A histogram of the penetration error of each model was created for the present invention. DETAILED DESCRIPTION

[0032] 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.

[0033] The calculation method of penetration depth of the US military GBU-39 / B small diameter bomb includes:

[0034] Step 1: Finite element simulation model verification:

[0035] S1: Figure 1 As shown, a finite element simulation model of a GBU-39 / B small diameter bomb is established; the finite element simulation model includes a warhead 1 and a target 2;

[0036] S2: Figure 1 As shown, the finite element simulation model of the warhead and the target is verified using the penetration power index of the GBU-39 / B small diameter bomb to form a penetration damage structure 3; the penetration power index of the GBU-39 / B small diameter bomb is that the penetration depth of the target is 1.80 mm under the conditions of a target impact speed of 426.7 m / s and an impact angle of 2°.

[0037] The warhead 1 includes a shell and a charge, the shell is made of alloy steel, the charge is made of PLASTIC KINEMATIC material, and the target 2 is made of a HJC concrete model.

[0038] The parameters of the warhead 1 meet the following requirements:

[0039]

[0040] The target 2 parameter index meets the following requirements:

[0041]

[0042] The warhead 1 is used to penetrate and damage the target 2 to form a Figure 1 The penetration damage structure 3 shown is as follows Figure 2 and Figure 3 As shown in the figure, the penetration depth and penetration speed of the warhead 1 into the target 2 are tested, and the result is 1.79m. Figure 1 As shown, the simulation penetration is based on the structural characteristics and power index of the GBU-39 / B small diameter bomb, and the influence of the impact angle (2°) on the penetration depth is ignored. The error of the penetration depth of the warhead 1 on the target 2 of the constructed finite element simulation model is only 0.56% compared with the power index, which is highly consistent with the penetration power index of the warhead 1. Therefore, the finite element simulation model constructed above can be used to carry out simulation calculations under different terminal conditions.

[0043] Step 2: Build and verify the engineering algorithm model:

[0044] S1: Based on the verification results of the finite element simulation model, the engineering algorithm model is constructed based on the ACE model;

[0045] S2: Modify the constructed engineering algorithm model to form the following penetration depth calculation formula:

[0046]

[0047] Where L is the penetration depth, cm; m is the warhead mass, kg; A is the cross-sectional area of ​​the warhead, cm 2 ; Vc is the impact velocity, m / s; d is the warhead diameter, cm; δ is the target plate strength, MPa.

[0048] The penetration damage depth of the GBU-39 / B small diameter bomb is calculated using the above-mentioned constructed and modified engineering algorithm model (ACE). The results are as follows: Figure 4 and Figure 5As shown in the figure, the calculation results of the revised ACE model are highly consistent with the finite element simulation results. Compared with the ACE model before correction, its error is greatly reduced, which greatly improves the accuracy of the engineering algorithm for evaluating and calculating the penetration and damage effectiveness of the GBU-39 / B small diameter bomb, and provides support for the rapid calculation and evaluation of the damage effectiveness of the GBU-39 / B.

[0049] Other matters not covered by the present invention may be implemented by referring to the prior art or common knowledge and conventional technical means known to those skilled in the art.

[0050] 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 penetration depth of a US military GBU-39 / B small-diameter bomb, characterized in that: include: Step 1: Finite element simulation model verification: S1: Establishing a finite element simulation model of a GBU-39 / B small diameter bomb; the finite element simulation model includes a warhead (1) and a target (2); S2: using the penetration power index of the GBU-39 / B small diameter bomb to verify the finite element simulation model of the warhead (1) and the target (2), to form a penetration damage structure (3); Step 2: Build and verify the engineering algorithm model: S1: Based on the verification results of the finite element simulation model, the engineering algorithm model is constructed based on the ACE model; S2: Modify the constructed engineering algorithm model to form the following penetration depth calculation formula: Where L is the penetration depth, cm; m is the warhead mass, kg; A is the cross-sectional area of ​​the warhead, cm 2 ; Vc is the impact velocity, m / s; d is the warhead diameter, cm; δ is the target plate strength, MPa.

2. The U.S. military GBU-39 / B small diameter bomb penetration depth calculation method as claimed in claim 1 is characterized in that: The penetration power index of the GBU-39 / B small-diameter bomb is that the penetration depth into the target is 1.80 mm under the conditions of a target impact speed of 426.7 m / s and an impact angle of 2°.

3. The U.S. military GBU-39 / B small diameter bomb penetration depth calculation method as claimed in claim 2 is characterized in that: The finite element simulation model is established based on the structural characteristics and power indicators of the GBU-39 / B small diameter bomb, and ignores the influence of the impact angle on the penetration depth.

4. The method for calculating the penetration depth of the U.S. military GBU-39 / B small-diameter bomb as claimed in claim 1, characterized in that: The warhead (1) comprises a shell and a charge model, the shell is an alloy steel shell, and the charge is made of PLASTICKINEMATIC material; the target (2) adopts an HJC model.

5. The method for calculating the penetration depth of the U.S. military GBU-39 / B small-diameter bomb as claimed in claim 1 or 4, characterized in that: The parameters of the warhead (1) are: ， And the target (2) parameters are:

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