CN114048421A - Fragment penetration target plate data processing method - Google Patents

Fragment penetration target plate data processing method Download PDF

Info

Publication number
CN114048421A
CN114048421A CN202110330706.4A CN202110330706A CN114048421A CN 114048421 A CN114048421 A CN 114048421A CN 202110330706 A CN202110330706 A CN 202110330706A CN 114048421 A CN114048421 A CN 114048421A
Authority
CN
China
Prior art keywords
penetration
fragment
target
energy
target plate
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202110330706.4A
Other languages
Chinese (zh)
Other versions
CN114048421B (en
Inventor
郑宇�
洪豆
王长安
李文彬
吴巍
姚文进
王广伟
张庆
姜宁
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Nanjing University of Science and Technology
Original Assignee
Nanjing University of Science and Technology
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Nanjing University of Science and Technology filed Critical Nanjing University of Science and Technology
Priority to CN202110330706.4A priority Critical patent/CN114048421B/en
Publication of CN114048421A publication Critical patent/CN114048421A/en
Application granted granted Critical
Publication of CN114048421B publication Critical patent/CN114048421B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E30/00—Energy generation of nuclear origin
    • Y02E30/30—Nuclear fission reactors

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Data Mining & Analysis (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Computational Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)

Abstract

A fragment penetration target plate data processing method includes the steps of establishing a fragment penetration energy calculation model, screening effective test data of the fragment penetration target plate, fitting a relation curve of fragment penetration energy and target penetration speed, obtaining fitted straight line slope and intercept through fitted curve coefficients, bringing the straight line slope and intercept into the fragment penetration energy calculation model, and obtaining the ultimate penetration speed of the fragment penetration target plate according to the definition of the ultimate penetration speed.

Description

Fragment penetration target plate data processing method
Technical Field
The invention belongs to the field of fragment penetration target plate target penetration energy evaluation, and particularly relates to a fragment penetration target plate data processing method.
Background
The fragment is one of the main killing means of the weapon ammunition to the target, so the research on the damage condition of the fragment to the target is an important method for evaluating the damage effect of the ammunition. The key point of researching the intersection of the bullets is to judge the condition that a single fragment penetrates through the target plate. In recent years, a great number of researchers at home and abroad are focusing on researching the limit penetration speed of a fragment penetration target plate, and the limit penetration speed is mainly obtained by a test method.
In the process of experimental study of the ultimate penetration speed of the fragment penetration target plate, the method mainly aims to enable the fragment speed to approach the ultimate value of the penetration target plate, namely the ultimate penetration speed, through repeated gun-striking experiments. Lijing cloud proposes v in end-point effect design50The ultimate penetration velocity of the fragment through the target plate is defined as v50(the probability of penetration through the target plate is 50%). When the number of non-penetrations is greater or less than the number of penetrations, v50The calculation formula of (a) is respectively:
Figure BDA0002994414030000011
Figure BDA0002994414030000012
in the formula: v. ofAIs the average of all velocities in the mixing zone with and without penetration; n is a radical ofpThe number of non-penetrated fragments in the mixing zone, NcThe number of the through fragments is; v. ofpmaxThe maximum speed without penetration through the fragment; v. ofpminThe minimum velocity through the fragment. v. of50The efficiency of experiments on the study of limiting penetration rates is greatly improved, however v50Is a numerical value obtained through probability statistics, which causes the calculated limit penetration speed to lack a corresponding theoretical basis.
Disclosure of Invention
The invention aims to provide a fragment penetration target plate data processing method by analyzing the penetration of the fragment penetration target plateThe limit penetration speed of the fragments is theoretically calculated according to the target energy change rule, and the problem of the existing v50The problem of lack of theoretical basis in the calculation provides theoretical guidance for experimental study of the ultimate penetration speed of the fragment penetration target plate.
The technical solution for realizing the purpose of the invention is as follows:
a method for calculating the ultimate penetration rate of a fragment penetration target plate by:
Figure BDA0002994414030000021
a, B is the slope and intercept of the line fitted by the experimental data of target entering speed and target passing energy; and m is the fragment mass.
A fragment penetration target plate data processing method is characterized in that a fragment penetration energy calculation model is established and used for determining the functional relation of fragment penetration energy and target penetration speed when a relation curve of the fragment penetration energy and the target penetration speed is fitted;
screening effective test data of the fragment penetration target plate, wherein the target penetration energy calculation model comprises a functional relation between target penetration energy and target penetration speed, and fitting a relation curve between the fragment penetration energy and the target penetration speed through the functional relation;
and obtaining a fitted linear slope and intercept through the fitted curve coefficient, substituting the linear slope and the intercept into a calculation model of fragment penetration energy, and obtaining the limit penetration speed of the fragment penetration target plate according to the definition of the limit penetration speed.
Compared with the prior art, the invention has the following remarkable advantages:
(1) the invention utilizes the dimensional analysis theory to establish a relational expression of fragment target penetration energy and fragment speed, and the method is used for deducing the limit penetration speed according to the relational expression and the fragment penetration target plate test data, and comparing v50The calculation method has more theoretical basis.
(2) The method can calculate the limit penetration speed through a small amount of test data, and is simpler and more convenient compared with the traditional limit penetration speed test method.
Drawings
FIG. 1 is a flow chart of the method of the present invention.
FIG. 2 is a graph showing the relationship between the target penetration energy and the target penetration speed of a tungsten ball penetration carbon fiber target plate.
FIG. 3 is a graph showing the relationship between penetration energy and penetration speed of tungsten ball penetration aluminum alloy target plates.
Detailed Description
The invention is further described with reference to the following figures and embodiments.
With reference to fig. 1, the data processing method for the fragment penetration target plate provided by the invention comprises the steps of establishing a calculation model of fragment penetration energy, screening effective test data of the fragment penetration target plate, fitting a relation curve between the fragment penetration energy and the penetration speed, and calculating the ultimate penetration speed of the fragment penetration target plate according to the fitted curve coefficient. The method specifically comprises the following steps:
step 1, establishing a fragment target penetration energy calculation model:
1.1, establishing physical parameters related to a fragment penetration target plate, wherein the parameters comprise: fragment diameter d and fragment density ρfThe fragment velocity v, the target plate thickness h and the target plate density rhotTarget plate strength σtAnd a through target energy E.
1.2, establishing a dimension of a physical parameter related to the limit penetration speed of the fragment penetration target plate, wherein the dimension of the parameter comprises: fragment diameter L and fragment density ML-3Speed LT of breaking-1Target plate thickness L, target plate density ML-3Target plate strength ML-1T-2And target penetration energy ML2T-2。
1.3, obtaining a relation between the target penetrating energy and the fragment target entering speed by a dimensional analysis method:
1.3.1, establishing a function formula of the fragment target penetration energy increment along with the fragment speed increment change according to given physical parameters, wherein the function formula is as follows:
ΔE＝f(h,d,ρf,ρt,Δv,σt) (3)
the formula contains 4 independent dimensions, and d, rho are extractedt，σtΔ v as a basis quantity for measuring the respective quantity in the formula, where Δ v ═ v-vt，ΔE＝E-Et，vtTo limit the penetration speed, EtIs the target penetration energy at the limit penetration rate.
1.3.2 formula (3) contains 4 independent dimensions, d, ρ are extractedt，σtΔ v as a basis quantity, for measuring each quantity in the equation, the following equation is obtained, where x and y are constants:
Figure BDA0002994414030000031
1.3.3 points (v)t，Et) Substituting into equation (4), one can obtain:
Figure BDA0002994414030000032
and 2, screening effective test data of the fragment penetration target plate, and mainly comprising integrating the test data of the fragment penetration target plate, removing the data which do not penetrate the target plate, and reserving the test data of the fragment penetration target plate.
Step 3, fitting a relation curve of the fragment target penetrating energy and the target entering speed:
3.1 penetration speed v and exit speed v of target plate by fragmentcAnd calculating the fragment target penetration energy according to the following formula:
Figure BDA0002994414030000033
wherein m is the fragment mass.
3.2, introducing experimental data of the target entering speed and the target penetrating energy into function drawing software origin, and fitting data points of the target entering speed and the target penetrating energy by using a linear fitting tool in the origin, wherein the independent variable is the target entering speed, and the dependent variable is the target penetrating energy.
And 4, calculating the limit penetration speed of the fragment penetration target plate through the fitted curve coefficient, and comprising the following steps of:
4.1, obtaining the slope A and intercept B of the fitted straight line by using a straight line fitting tool in origin.
4.2, substituting the values of the slope A and the intercept B of the straight line into the formula (5) can obtain a one-dimensional quadratic equation system with the limit penetration rate as an independent variable:
Figure BDA0002994414030000041
4.3 solving equation (7) to obtain the ultimate penetration velocity vt：
Figure BDA0002994414030000042
vt1And vt2Is the two solutions solved by equation (7), one of which has no physical significance. When B is less than or equal to 0, vt20 or less, which is obviously not practical; when B is more than or equal to 0, the obtained vt1>vt2According to the definition of the limit penetration speed, the larger value of the speed is in accordance with the actual situation. It can be seen that the "+" sign must be discarded, so a solution with physical meaning is
Figure BDA0002994414030000043
Example one: the tungsten alloy spherical fragments penetrate the T700 carbon fiber composite target plate. The tungsten alloy spherical fragment with the fragment diameter of 5mm, and the target plate is a T700 carbon fiber target plate with the fragment diameter of 15 mm.
Known physical parameters of a target projectile include: fragment diameter d is 5mm, fragment density rhof＝17.8g/cm3The thickness h of the target plate is 15mm, and the density rho of the target platet＝1.56g/cm3And target plate strength σt＝86MPa。
After performing the fragment penetration target plate test, the data for complete penetration were screened as shown in table 1.
TABLE 1 ballistic impact test data
Figure BDA0002994414030000044
The experimental data of the target entering speed and the target penetrating energy are led into function drawing software origin, a linear fitting tool in origin is used for fitting data points of the target entering speed and the target penetrating energy, the independent variable is the target entering speed, and the dependent variable is the target penetrating energy, and a graph 2 can be obtained.
The slope a of the line obtained by linear fitting is 0.35569 and the intercept B is 8.60265.
Substituting the values of A and B into equation 9 can solve the limiting penetration rate as:
Figure BDA0002994414030000051
the ultimate penetration rate obtained by the conventional test method is 622m/s, the ultimate penetration rate calculated by formula 7 is 614m/s, and the error is 1.29%.
Example two: the tungsten alloy spherical fragments penetrate into the LY12 aluminum alloy target plate. The tungsten alloy spherical fragment with the fragment diameter of 5mm, and the target plate is a T700 carbon fiber target plate with the fragment diameter of 6 mm.
Known physical parameters of a target projectile include: fragment diameter d is 5mm, fragment density rhof＝17.8g/cm3The thickness h of the target plate is 6mm, and the density rho of the target platet＝2.7g/cm3And target plate strength σt＝420MPa。
After performing the fragment penetration target plate test, the data for complete penetration were screened as shown in table 2.
Table 2 ballistic impact test data
Figure BDA0002994414030000052
The experimental data of the target entering speed and the target penetrating energy are led into function drawing software origin, a linear fitting tool in origin is used for fitting data points of the target entering speed and the target penetrating energy, the independent variable is the target entering speed, and the dependent variable is the target penetrating energy, and a graph 3 can be obtained.
The slope a of the line obtained by linear fitting is 0.35569 and the intercept B is 8.60265.
Substituting the values of A and B into equation 9 can solve the limiting penetration rate as:
Figure BDA0002994414030000053
the limit penetration rate obtained by the conventional test method is 407m/s, the limit penetration rate calculated by formula 7 is 409m/s, and the error is 0.49%.

Claims (6)

1. A method for calculating the ultimate penetration rate of a fragment penetration target plate by calculating:
Figure FDA0002994414020000011
a, B is the slope and intercept of the line fitted by the experimental data of target entering speed and target passing energy; and m is the fragment mass.
2. A fragment penetration target plate data processing method is characterized in that a fragment penetration energy calculation model is established and used for determining the functional relation of the fragment penetration energy and the target penetration speed when a relation curve of the fragment penetration energy and the target penetration speed is fitted;
screening effective test data of the fragment penetration target plate, wherein the target penetration energy calculation model comprises a functional relation between target penetration energy and target penetration speed, and fitting a relation curve between the fragment penetration energy and the target penetration speed through the functional relation;
and obtaining a fitted linear slope and intercept through the fitted curve coefficient, substituting the linear slope and the intercept into a calculation model of fragment penetration energy, and obtaining the limit penetration speed of the fragment penetration target plate according to the definition of the limit penetration speed.
3. The fragment penetration target plate data processing method according to claim 2, wherein the obtained ultimate penetration rate of the fragment penetration target plate is:
Figure FDA0002994414020000012
a, B is a slope and intercept of the straight line, which can be obtained by fitting the experimental data of the target-entering speed and the target-passing energy; and m is the fragment mass.
4. The fragment penetration target plate data processing method according to claim 2, wherein the calculation model of fragment penetration target energy is:
Figure FDA0002994414020000013
wherein E is target penetration energy, v is fragment speed, and A, B is a slope and intercept of a straight line respectively; h is the thickness of the target plate, d is the fragment diameter, rhotIs the density, sigma, of the target boardtAs target plate strength, pfTo fragment density, EtEnergy of penetration at limiting penetration velocity, vtFor limiting penetration rate, x and y are constants.
5. The fragment penetration target plate data processing method according to claim 4, wherein the step of establishing a calculation model of fragment penetration target energy specifically comprises the following steps:
1.1, establishing physical parameters related to a fragment penetration target plate, including: fragment diameter d and fragment density ρfThe fragment velocity v, the target plate thickness h and the target plate density rhotTarget plate strength σtAnd a through target energy E;
1.2, establishing a dimension of a physical parameter related to the limit penetration speed of the fragment penetration target plate, wherein the dimension comprises the following steps: fragment diameter L and fragment density ML-3Speed LT of breaking-1Target plate thickness L, target plate density ML-3Target plate strength ML-1T-2And target penetration energy ML2T-2；
1.3, obtaining a relational expression between the target penetrating energy and the fragment target entering speed by a dimensional analysis method.
6. The fragmentation penetration target plate data processing method according to claim 5, wherein the step 1.3 specifically comprises the following steps:
1.3.1, establishing a function formula of the fragment target penetration energy increment along with the fragment speed increment change according to given physical parameters, wherein the function formula is as follows:
ΔE＝f(h,d,ρf,ρt,Δv,σt) (3)
wherein Δ v-vt，ΔE＝E-Et；
1.3.2 extracting d, rhot，σtΔ v as a basis quantity, for measuring each quantity in the equation, the following equation is obtained:
Figure FDA0002994414020000021
1.3.3 points (v)t，Et) Substituting the formula (4) to obtain a calculation model of the fragment target penetration energy, namely a relational expression between the target penetration energy and the fragment target entering speed.
CN202110330706.4A 2021-03-26 2021-03-26 Fragment penetration target plate data processing method Active CN114048421B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202110330706.4A CN114048421B (en) 2021-03-26 2021-03-26 Fragment penetration target plate data processing method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202110330706.4A CN114048421B (en) 2021-03-26 2021-03-26 Fragment penetration target plate data processing method

Publications (2)

Publication Number Publication Date
CN114048421A true CN114048421A (en) 2022-02-15
CN114048421B CN114048421B (en) 2023-05-05

Family

ID=80204273

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202110330706.4A Active CN114048421B (en) 2021-03-26 2021-03-26 Fragment penetration target plate data processing method

Country Status (1)

Country Link
CN (1) CN114048421B (en)

Citations (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6331946B1 (en) * 1997-07-15 2001-12-18 Silverbrook Research Pty Ltd Method for protecting on-chip memory (flash and RAM) against attacks
US20020071104A1 (en) * 1997-07-12 2002-06-13 Kia Silverbrook Image sensing apparatus including a microcontroller
US7930978B1 (en) * 2008-05-19 2011-04-26 Raytheon Company Forward firing fragmentation warhead
CN104143028A (en) * 2014-08-12 2014-11-12 中国人民解放军装甲兵工程学院 Armored equipment damage rule analysis method based on simulation experiment
CN105319386A (en) * 2015-05-06 2016-02-10 中北大学 Method and device of active speed measurement on the basis of modulated laser
CN107742006A (en) * 2017-09-18 2018-02-27 中国人民解放军海军工程大学 The computational methods of sheet metal ballisticslimited velocity under a kind of positive penetration of tack hollow projectile cartridge low speed
CN109489551A (en) * 2018-11-28 2019-03-19 西安工业大学 A kind of fragmentation group space spreads parameter test device and test method
CN109902420A (en) * 2019-03-08 2019-06-18 中国人民解放军战略支援部队航天工程大学 A kind of fragment high-speed impact acts on the calculation method of lower satellite tank Critical Initiation
CN110442957A (en) * 2019-07-31 2019-11-12 南京理工大学 The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity
CN112035780A (en) * 2020-09-04 2020-12-04 清华大学 Missile terminal guidance stage killing effect calculation method

Patent Citations (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20020071104A1 (en) * 1997-07-12 2002-06-13 Kia Silverbrook Image sensing apparatus including a microcontroller
US6331946B1 (en) * 1997-07-15 2001-12-18 Silverbrook Research Pty Ltd Method for protecting on-chip memory (flash and RAM) against attacks
US7930978B1 (en) * 2008-05-19 2011-04-26 Raytheon Company Forward firing fragmentation warhead
CN104143028A (en) * 2014-08-12 2014-11-12 中国人民解放军装甲兵工程学院 Armored equipment damage rule analysis method based on simulation experiment
CN105319386A (en) * 2015-05-06 2016-02-10 中北大学 Method and device of active speed measurement on the basis of modulated laser
CN107742006A (en) * 2017-09-18 2018-02-27 中国人民解放军海军工程大学 The computational methods of sheet metal ballisticslimited velocity under a kind of positive penetration of tack hollow projectile cartridge low speed
CN109489551A (en) * 2018-11-28 2019-03-19 西安工业大学 A kind of fragmentation group space spreads parameter test device and test method
CN109902420A (en) * 2019-03-08 2019-06-18 中国人民解放军战略支援部队航天工程大学 A kind of fragment high-speed impact acts on the calculation method of lower satellite tank Critical Initiation
CN110442957A (en) * 2019-07-31 2019-11-12 南京理工大学 The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity
CN112035780A (en) * 2020-09-04 2020-12-04 清华大学 Missile terminal guidance stage killing effect calculation method

Non-Patent Citations (8)

* Cited by examiner, † Cited by third party
Title
WENLING GUAN等: "The relationship between fragmentation landing speed and blast crater\' depth" *
任善良: "平头弹穿透双层金属板的理论与数值模拟研究" *
梅志远等: "高速破片穿透船用钢靶剩余特性研究" *
毛亮;王华;姜春兰;李明;: "钨合金球形破片侵彻DFRP靶板的试验研究" *
王晓强等: "低合金船用结构钢抗高速破片能力研究" *
郑宇等: "低附带毁伤弹药的炸药／钨粉质量比对钨粉抛撒特性的影响" *
高圣智等: "高速弹体侵彻下充液结构的破坏特性及防护技术研究进展" *
魏继锋;王树山;马峰;: "柱形破片对多层间隙靶侵彻试验研究" *

Also Published As

Publication number Publication date
CN114048421B (en) 2023-05-05

Similar Documents

Publication Publication Date Title
CN111859288B (en) Goaf spontaneous combustion risk prediction method
CN110956004B (en) Concrete penetration depth prediction algorithm with fusion of multi-empirical formula and BP neural network model
CN108614418B (en) Titanium alloy milling-polishing-shot blasting reinforcement residual stress field process control method
CN103823038A (en) Method for grading engineering stability of jointed rock mass
CN114048421A (en) Fragment penetration target plate data processing method
CN114372319A (en) Rock cuttability evaluation method based on mining-following parameters and/or drilling parameters, rock breaking equipment and rock breaking system
CN112434852A (en) Method for evaluating rationality of blast furnace air supply system
CN110705123A (en) Natural fragment warhead fragment quality and quantity distribution prediction simulation calculation method
CN103675782B (en) The information fast extraction method of a kind of target polarizers of big angle scope RCS
CN113094641B (en) K-nearest neighbor rock burst prediction method and device based on big data visualization analysis
Yu et al. Relationships between distribution characteristics of ceramic fragments and anti-penetration performance of ceramic composite bulletproof insert plates
CN115422750A (en) Test method for obtaining relation between bullet speed and penetration depth of rigid bullet body
CN105717149B (en) A kind of method of discrimination of basalt weathered degree
CN110442957A (en) The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity
CN108646688B (en) A kind of process parameter optimizing analysis method based on recurrence learning
Laterza et al. Chemical and Lead Isotope characterisation of First World War shrapnel balls and bullets used on the Alpine Austrian–Italian Front
CN112598061A (en) Tunnel surrounding rock clustering and grading method
CN114218782A (en) Truncated sequential test data evaluation method based on binomial distribution
Wang et al. Jet formation and penetration mechanism of W typed shaped charge
Chonghua et al. A calculation of the threshold stress intensity range for fatigue crack propagation in metals
CN112541257A (en) Method for calculating service life of limestone slope based on corrosion rate
CN113239589A (en) Numerical simulation method for obtaining metal material V50
CN111781592A (en) Rapid automatic starting method based on fine-grained characteristic analysis
CN112036661A (en) Ceramic cutter reliability prediction method based on random distribution of mechanical properties of cutter
CN111896932A (en) Method for extracting target to be attacked by using sweep missile-borne single-line laser radar

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant