CN110866296A - Method for rapidly evaluating damage capability of explosive shock waves to fixed target - Google Patents

Method for rapidly evaluating damage capability of explosive shock waves to fixed target Download PDF

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CN110866296A
CN110866296A CN201910929225.8A CN201910929225A CN110866296A CN 110866296 A CN110866296 A CN 110866296A CN 201910929225 A CN201910929225 A CN 201910929225A CN 110866296 A CN110866296 A CN 110866296A
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volume
fixed target
shock wave
intersecting
damage
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彭维仕
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Air Force Engineering University of PLA
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Air Force Engineering University of PLA
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Abstract

The invention discloses a method for rapidly evaluating the damage capability of an explosive shock wave to a fixed target, which comprises the following steps: s1, initializing the parameters; s2, dispersing the effective volume formed by the blast shock wave, and determining the intersecting volume V of the effective volume and the fixed targetv‑s(ii) a S3, dispersing the fixed target involved by the blast shock wave, and determining the intersecting volume V of the fixed target and the effective volumes‑v(ii) a S4, according to the intersecting volume Vv‑sIntersecting volume Vs‑vAnd determining a final intersecting volume V, and evaluating the damage capability E of the explosive shock wave to the fixed target according to the final intersecting volume V. The damage capability of the explosion shock wave obtained by calculation to the fixed target can meet the requirement of any precision, and the arbitrarily intersected volume of the sphere and the hexahedron can be quickly given.

Description

Method for rapidly evaluating damage capability of explosive shock waves to fixed target
Technical Field
The invention belongs to the field of blast shock wave damage effect evaluation, and particularly relates to a rapid evaluation method for the damage capability of blast shock waves to a fixed target.
Background
In the field of evaluation of the damage effect of the explosive shock wave, the damage capability of the explosive shock wave to a target is scientifically evaluated, and the method has important engineering application value for development of various blasting warheads, power evaluation and performance evaluation of equipped killer weapons. In addition, research on blast shock wave damage effect evaluation provides scientific reference for structural design and safety protection of key buildings, bridges and key targets.
The explosion shock wave damage capability is mainly characterized in that an experiment is carried out to obtain a shock wave overpressure value, then theoretical modeling is carried out, finally a damage criterion is obtained, and further the damage capability is calculated. However, this method is very labor and material intensive, and the experimental conditions are complicated.
Disclosure of Invention
In order to calculate the damage capability of the explosive shock wave to the fixed target, the invention aims to provide a method for rapidly evaluating the damage capability of the explosive shock wave to the fixed target, and aims to solve the problems that the existing method consumes huge manpower and material resources, is complex in experimental conditions and the like.
The invention is realized in such a way that a rapid evaluation method of the damage capability of the explosive shock wave to a fixed target comprises the following steps:
s1, initializing parameters including the effective damage radius R of the damage of the given explosion shock wave, the length L, the width W, the height H and the calculation precision epsilon of the target parameters;
s2, dispersing the effective volume formed by the blast shock wave, and determining the intersecting volume V of the effective volume and the fixed targetv-s
S3, dispersing the fixed target involved by the blast shock wave, and determining the intersecting volume V of the fixed target and the effective volumes-v
S4, according to the intersecting volume Vv-sIntersecting volume Vs-vAnd determining a final intersecting volume V, and evaluating the damage capability E of the explosive shock wave to the fixed target according to the final intersecting volume V.
Preferably, in step S2, M ═ 1/epsilon points are randomly generated by the monte carlo method
Figure BDA0002219831400000029
Dispersing the effective volume formed by the blast shock wave; where v denotes a random point at which an effective volume formed by an explosive shock wave is discretely generated, and i denotes an ith random point i ═ 1, 2.
Preferably, in step S2, the intersecting volume Vv-sComprises the following steps:
Figure BDA0002219831400000021
wherein the content of the first and second substances,
Figure BDA0002219831400000022
to calculate M points
Figure BDA0002219831400000023
Both in the effective volume of the blast shock wave and in the number of fixed target points.
Preferably, in step S3, M random points are randomly generated by the monte carlo method
Figure BDA0002219831400000024
Discretizing the fixed target; where s is a random point generated by discretizing a fixed target, and j is a random point generated by discretizing a fixed target.
Preferably, in step S3, the intersecting volume Vs-vComprises the following steps:
Figure BDA0002219831400000025
wherein the content of the first and second substances,
Figure BDA0002219831400000026
to calculate M points
Figure BDA0002219831400000027
In the hexahedron and in the middle of the sphere.
Preferably, in step S4, the final intersecting volume V is the intersecting volume Vv-sAnd the intersecting volume Vs-vThe average of the sums; the damage capability of the explosive shock wave to the fixed target is as follows:
Figure BDA0002219831400000028
wherein, VtIs the volume of the fixation target.
The invention overcomes the defects of the prior art and provides a method for rapidly evaluating the damage capability of an explosive shock wave to a fixed target. It is clear that the calculated volume is closer to the true value as the monte carlo method generates points faster and more evenly distributed. The intersection volume obtained by calculation of the invention not only can meet the requirement of any precision, but also can quickly give the intersection volume of the sphere and the hexahedron at will.
Compared with the defects and shortcomings of the prior art, the invention has the following beneficial effects:
(1) the damage capability of the explosion shock wave obtained by calculation on the fixed target can meet the requirement of any precision;
(2) the invention can quickly give the arbitrarily intersected volume of the sphere and the hexahedron.
Drawings
FIG. 1 is a flow chart of an evaluation method of the present invention;
FIG. 2 illustrates the intersection of a sphere and a hexahedron in an embodiment of the present invention;
FIG. 3 illustrates the variation of the intersection volume calculation with respect to discrete points in an embodiment of the present invention;
FIG. 4 shows the absolute error and the relative error of the calculation result of the intersected volume in the embodiment of the invention and the variation relation of discrete points.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
A method for rapidly evaluating the damage capability of an explosive shock wave to a fixed target, as shown in fig. 1, the method comprises the following steps:
s1, parameter initialization
And giving an effective damage radius R of explosion shock wave damage, the length L, the width W and the height H of fixed target parameters and the calculation precision epsilon.
S2, dispersing the effective volume formed by the blast shock wave, and determining the intersecting volume V of the effective volume and the fixed targetv-s
In step S2, M points are randomly generated using the Monte Carlo method
Figure BDA0002219831400000041
These points satisfy:
Figure BDA0002219831400000042
wherein
Figure BDA0002219831400000043
Center coordinates of an effective volume formed for the blast shock wave; v denotes a random point at which an effective volume formed by the blast shock wave is discretely generated, and i denotes an ith random point i ═ 1, 2.
According to step S2, M points are calculated
Figure BDA0002219831400000044
In both the effective volume of the blast shock wave and the number of fixed target midpoints
Figure BDA0002219831400000045
I.e. calculating M points
Figure BDA0002219831400000046
A number satisfying the following formula:
Figure BDA0002219831400000047
then the intersecting volume V at this timev-sComprises the following steps:
Figure BDA0002219831400000048
s3, dispersing the fixed target involved by the blast shock wave, and determining the intersecting volume V of the fixed target and the effective volumes-v
In step S3, M points are randomly generated using the Monte Carlo method
Figure BDA0002219831400000049
The fixed target is discretized and these points satisfy:
Figure BDA00022198314000000410
wherein (x)o,yo,zo) Is the center coordinate of the fixed target; s is the random point generated for the fixed target discretization, and j is the random point generated for the fixed target discretization.
According to step S3, M points are calculated
Figure BDA0002219831400000051
In the hexahedron and the middle point of the sphere
Figure BDA0002219831400000052
I.e. calculating M points
Figure BDA0002219831400000053
A number satisfying the following formula:
Figure BDA0002219831400000054
then the intersecting volume V at this times-vComprises the following steps:
Figure BDA0002219831400000055
s4, according to the intersecting volume Vv-sIntersecting volume Vs-vDetermining the final intersection volume VtAnd evaluating the damage capability E of the explosive shock wave to the fixed target according to the final intersecting volume V
According to steps S2 and S3, the final intersection volume V of the sphere and the hexahedron is calculated:
Figure BDA0002219831400000056
at this time, the damage capability of the explosive shock wave to the fixed target is as follows:
E=V/Vt=(Vv-s+Vs-v)/2Vt(8)
wherein, VtIs the volume of the fixation target.
Example 2
Assuming that the effective acting volume of the blast shock wave is a sphere with a radius R equal to 2 and a center coordinate of the circle
Figure BDA0002219831400000057
The function of the sphere is then:
Figure BDA0002219831400000058
further assume that the fixed target is a hexahedron, whose parameters are:
Figure BDA0002219831400000059
and drawing the intersection graph of the sphere and the hexahedron by using Matlab software, as shown in FIG. 2. It can be seen that the sphere is completely enclosed in the hexahedron, and the intersecting volume is the volume of the sphere, and the calculation formula according to the volume of the sphere is:
Figure BDA0002219831400000061
the method of the invention is used to calculate the intersection volume, and the absolute error and the relative error are respectively used to calculate the precision of the method provided by the invention:
Figure BDA0002219831400000062
here, when the intersecting volume is calculated by the present invention, the accuracy range is set to [1/80000,1/10000], the number of discrete points M is [10000,80000], the sphere and the hexahedron are discretized, and finally the relationship between the calculation result of the intersecting volume and the number of discrete points is shown in fig. 3, and the corresponding absolute error and relative error are shown in fig. 4.
As can be seen from fig. 3 and 4, when the number of discrete points M is 50,000, the intersecting volume is Ve33.4780, the corresponding error is
Figure BDA0002219831400000063
At this time, the estimation result has a small error and is closer to the real intersection volume.
Further calculating the damage capability of the explosive shock wave to the fixed target when M is 50,000
Figure BDA0002219831400000064
Obviously, the invention can rapidly calculate the damage capability of the explosive shock wave to the fixed target.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents and improvements made within the spirit and principle of the present invention are intended to be included within the scope of the present invention.

Claims (6)

1. A method for rapidly evaluating the damage capability of an explosive shock wave to a fixed target is characterized by comprising the following steps:
s1, initializing parameters including the effective damage radius R of the damage of the given explosion shock wave, the length L, the width W, the height H and the calculation precision epsilon of the target parameters;
s2, dispersing the effective volume formed by the blast shock wave, and determining the intersecting volume V of the effective volume and the fixed targetv-s
S3, dispersing the fixed target involved by the blast shock wave, and determining the intersecting volume V of the fixed target and the effective volumes-v
S4, according to the intersecting volume Vv-sIntersecting volume Vs-vAnd determining a final intersecting volume V, and evaluating the damage capability E of the explosive shock wave to the fixed target according to the final intersecting volume V.
2. The method for rapidly evaluating the destructibility of a fixed object by an explosive blast as defined in claim 1, wherein M ═ 1/epsilon points are randomly generated by the monte carlo method in step S2
Figure FDA0002219831390000011
Dispersing the effective volume formed by the blast shock wave; where v denotes a random point at which an effective volume formed by an explosive shock wave is discretely generated, and i denotes an ith random point i ═ 1, 2.
3. The method for rapid assessment of the ability of an explosive blast to damage a fixed target according to claim 2, wherein in step S2, said intersecting volume Vv-sComprises the following steps:
Figure FDA0002219831390000012
wherein the content of the first and second substances,
Figure FDA0002219831390000013
to calculate M points
Figure FDA0002219831390000014
Both in the effective volume of the blast shock wave and in the number of fixed target points.
4. The method of claim 1 for rapid evaluation of the ability of an explosive blast to damage a fixed targetWherein, in step S3, M random points are randomly generated by the Monte Carlo method
Figure FDA0002219831390000021
Discretizing the fixed target; where s is a random point generated by discretizing a fixed target, and j is a random point generated by discretizing a fixed target.
5. The method for rapid assessment of the ability of an explosive blast to damage a fixed target according to claim 4, wherein in step S3, said intersecting volume Vs-vComprises the following steps:
Figure FDA0002219831390000022
wherein the content of the first and second substances,
Figure FDA0002219831390000023
to calculate M points
Figure FDA0002219831390000024
In the hexahedron and in the middle of the sphere.
6. The method for rapid evaluation of the ability of an explosive blast to damage a fixed target according to claim 1, wherein in step S4, said final intersecting volume V is an intersecting volume Vv-sAnd the intersecting volume Vs-vThe average of the sums; the damage capability of the explosive shock wave to the fixed target is as follows:
Figure FDA0002219831390000025
wherein, VtIs the volume of the fixation target.
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CN116861712A (en) * 2023-09-05 2023-10-10 中国兵器装备集团兵器装备研究所 Efficient damage modeling method and system based on few public parameters

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CN103177191A (en) * 2013-04-11 2013-06-26 北京理工大学 Warhead damage performance evaluation method
KR20160114963A (en) * 2015-03-25 2016-10-06 삼성중공업 주식회사 Methods for modelling explosion pressure time history model
US20180239848A1 (en) * 2017-02-21 2018-08-23 Livermore Software Technology Corporation Numerical Blast Simulation Methods and Systems Thereof
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Publication number Priority date Publication date Assignee Title
CN103177191A (en) * 2013-04-11 2013-06-26 北京理工大学 Warhead damage performance evaluation method
KR20160114963A (en) * 2015-03-25 2016-10-06 삼성중공업 주식회사 Methods for modelling explosion pressure time history model
US20180239848A1 (en) * 2017-02-21 2018-08-23 Livermore Software Technology Corporation Numerical Blast Simulation Methods and Systems Thereof
CN110119580A (en) * 2019-05-17 2019-08-13 中国人民解放军军事科学院国防工程研究院 A kind of ground surface works target Damage assessment system and method

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116861712A (en) * 2023-09-05 2023-10-10 中国兵器装备集团兵器装备研究所 Efficient damage modeling method and system based on few public parameters
CN116861712B (en) * 2023-09-05 2023-12-22 中国兵器装备集团兵器装备研究所 Efficient damage modeling method and system based on few public parameters

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