CN108733925A - A method of power is injured based on numerical simulation assessment nature fragmentation type howitzer - Google Patents
A method of power is injured based on numerical simulation assessment nature fragmentation type howitzer Download PDFInfo
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Abstract
The invention discloses a kind of method for injuring power based on numerical simulation assessment nature fragmentation type howitzer, this method includes：Characteristic is injured according to the explosion of howitzer, establishes the computation model of each power characterisitic parameter in fragment of warhead lethal effect field；Power is injured by each computation model assessment howitzer.Specially establish fragmentation power field parameters computation model and shock wave power field parameters computation model.The present invention achievees the purpose that injure assessment to natural fragmentation type howitzer by analyzing two main power fields for injuring first natural fragmentation power field and the progress of shock wave power field of natural fragmentation type howitzer；Modeling analysis is carried out using the means of analog simulation, not only greatly improves the lead time of ammunition, and reduce development cost.
Description
Technical field
It is the present invention relates to simulation technical field, more particularly to a kind of to be injured based on numerical simulation assessment nature fragmentation type howitzer
The method of power.
Background technology
Howitzer discharges in blast process along with huge ability, generates shock wave and fragmentation two killing element greatly, makees
For one of the important content of howitzer warhead damage effect research, it is very to carry out research and analysis to explosion wave and fragmentation
It is necessary.
But in howitzer explosion time, detonation driven and fragmentation dispersal process are an extremely complex physics, mechanics mistake
Journey.If the method using actual tests is studied, it is long to be directed not only to the period, and testing expenses are also high.
Invention content
An embodiment of the present invention provides a kind of methods for injuring power based on numerical simulation assessment nature fragmentation type howitzer, adopt
Modeling analysis is carried out with the means of analog simulation, not only greatly improves the lead time of ammunition, and reduces development cost.
An embodiment of the present invention provides a kind of methods for injuring power based on numerical simulation assessment nature fragmentation type howitzer, should
Method includes：
Characteristic is injured according to the explosion of howitzer, establishes the calculating mould of each power characterisitic parameter in fragment of warhead lethal effect field
Type；
Power is injured by each computation model assessment howitzer.
Preferably, the detailed process of the computation model for establishing each power characterisitic parameter in fragment of warhead lethal effect field
For：
Establish fragmentation power field parameters computation model and shock wave power field parameters computation model.
Preferably, the detailed process for establishing fragmentation power field parameters computation model is：
The computation model of Gurney energy, the computation model of Initial Velocities of Fragments, the computation model at fragment emission angle, Fragment Field is established to fly
Dissipate one or more of the computation model of deflection and the computation model of Fragment Velocities decaying computation model.
Preferably, the computation model of Gurney energy is：
Wherein,For Gurney energy；DCFor explosion velocity；γ(ρC) be explosion gas polytropic index, be the letter of degree of packing
Number；
The computation model of Initial Velocities of Fragments is：
Wherein,For Gurney energy；β is mass ratio, i.e. explosive payload and shell mass ratio.
Preferably, the computation model at fragment emission angle is：
Wherein, θSDeviate the drift angle of shell normal, i.e. fragment emission angle for Fragment Velocities vector；V0For Fragment Velocities；DeFor
Detonation wave velocity of wave；Angle is constituted for explosive assembly casing normal and monomer symmetry axis；For detonation wave front normal and monomer pair
Axis is claimed to constitute angle；K is correction factor；
The disperse computation model of deflection of Fragment Field is：
When under quiescent conditions, fragmentation is in normal distribution using its mean direction angle that disperses as symmetry axis, and distribution function is：
Its fragment emission mean direction angle is：
When in the dynamic case, distribution function is：
Its dynamic deflection that disperses is：
Wherein, Φ0iFor fragment emission mean direction angle；s1iFor fire point to the distance of equivalent cylinder front inner surface；s2i
For fire point to the distance of equivalent circular tube rear end inner surface；vDFor explosion velocity of explosive；v0For Initial Velocities of Fragments degree；LiFor equivalent circular tube length
Degree；σiFor ΦiThe root-mean-square deviation at angle is equal to Ωi/ 3.3, ΩiFor fragment emission angle；Subscript v indicates relevant parameter under current intelligence
Value.
Preferably, the computation model of Fragment Velocities decaying is：
Wherein, α is velocity attenuation coefficient；CxFor fragmentation head resistance coefficient；S is front face area；ρ is atmospheric density；G is
Acceleration of gravity；M is fragmentation quality.
Preferably, which is characterized in that the detailed process for establishing shock wave power field parameters computation model includes：
Establish the computation model of positive pressure of shock wave at different distance, at different distance the computation model of shock wave specific impulse and
One or more of the computation model of shock reflection superpressure computation model.
Preferably, the computation model of positive pressure of shock wave includes that warhead is located at target internal explosion and fight at different distance
Portion, which is located at around target, explodes；
When warhead is located at target internal explosion time,
Wherein, Δ PfFor positive pressure of shock wave；W is the explosive payload in large space；H is the height in room；R is shock wave
Distance；A, B and C is experiment fitting coefficient；
When warhead is located at explosion time around target,
Wherein, Δ PmFor positive pressure of shock wave；W is the explosive payload in large space；R is shock wave distance；A and B is examination
Test fitting coefficient.
Preferably, the computation model of shock wave specific impulse is at different distance：
Wherein, i+For shock wave overpressure peak；R is comparison distance；K is experiment fitting coefficient；mbeFor charging quality.
Preferably, when shock wave encounters barrier in communication process, the computation model of shock reflection superpressure is：
When the surface of incident direction of wave travel vertical barrier just, i.e. angle of reflectionWhen normal reflection occurs,
Wherein, P0To be undisturbed the pressure of air；ΔP1For the superpressure of incidence wave；ΔP2For normal reflection superpressure；K is experiment
Correction factor；
Work as angle of reflectionWhen regular oblique reflection occurs,
Wherein, P0To be undisturbed the pressure of air；ΔP1For the superpressure of incidence wave；ΔP2For regular oblique reflection superpressure；K is
Test correction factor；α0For the critical angle of Mach reflection；For the incidence angle of the corresponding incidence wave of test point；WhenWhen Mach reflection occurs,
Wherein, Δ PMFor Mach reflection superpressure；ΔPGFor ground burst when incident blast wave superpressure；K is that system is corrected in experiment
Number；α0For the critical angle of Mach reflection.
Compared with prior art, the present invention at least has the advantages that：
By injuring first natural fragmentation power field and shock wave power field carries out to two, natural fragmentation type howitzer is main
Power field is analyzed, and achievees the purpose that injure assessment to natural fragmentation type howitzer；It is modeled using the means of analog simulation
Analysis, not only greatly improves the lead time of ammunition, and reduce development cost.
Specific implementation mode
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in the embodiment of the present invention
Technical solution is clearly and completely described, it is clear that described embodiments are some of the embodiments of the present invention, rather than complete
The embodiment in portion, based on the embodiments of the present invention, those of ordinary skill in the art are in the premise for not making creative work
Lower obtained every other embodiment, shall fall within the protection scope of the present invention.
An embodiment of the present invention provides a kind of method that assessment nature fragmentation type howitzer injures power, this method may include
Following steps：
Characteristic is injured according to the explosion of howitzer, establishes the calculating mould of each power characterisitic parameter in fragment of warhead lethal effect field
Type；
Power is injured by each computation model assessment howitzer.
In this embodiment, main to two, natural fragmentation type howitzer to injure first natural fragmentation power field and shock wave power
The power field that field carries out is analyzed, and fragmentation power field computation parameter model and shock wave power field computation parameter model are provided,
It is that natural fragmentation type howitzer injuring during developing, testing assesses the theoretical foundation and technical support for providing numerical simulation.
In one embodiment of the invention, it is main to two, natural fragmentation type howitzer injure first natural fragmentation power field and
The power field that shock wave power field carries out carries out analysis：
1, fragmentation power field analysis
During use, true fragmentation power field is by extraneous factors such as the velocity of following, terminal angles for warhead
It influences very big.It analyzes accordingly, fragmentation power field computation should include：The initial velocity of each fragmentation calculates, designs the Ge Ni of explosive
Energy, Initial Velocities of Fragments, the angle of dispersion of Fragment Group and the velocity attenuation coefficient of deflection and fragmentation in-flight of dispersing calculate, each mould
Type research method is as follows：
(a) Gurney energy is calculated
By theory analysis combination numerical simulation, the specific computation model parameter for obtaining Gurney energy is as follows：
Wherein,For Gurney energy；DCFor explosion velocity；γ(ρC) be explosion gas polytropic index, be the letter of degree of packing
Number；
Lattice Buddhist nun coefficient (also known as lattice Buddhist nun speed) can reflect acceleration capacity for work of the explosive to metal, be a weight of explosive
Want parameter.The maximum speed that explosive accelerates shell fragmentation can be found out using lattice Buddhist nun coefficient in engineering, while also as fight
The important references commented are selected in portion's powder charge.
(b) initial velocity of fragmentation is calculated
By theory analysis combination numerical simulation, the specific computation model parameter of Initial Velocities of Fragments is as follows：
Wherein,For Gurney energy；β mass ratioes, i.e. explosive payload and shell mass ratio.
Initial Velocities of Fragments degree：Howitzer is set to cylindrical housings herein, it is assumed that after explosive detonation, product gas is uniformly swollen
It is swollen, and density is equal everywhere, Initial Velocities of Fragments degree is calculated with Gurney formulas.
(c) single piece of fragment emission angle is calculated
Existing computation model is mainly that Shapiro formula obtain the drift angle that Fragment Velocities vector deviates shell normal, then
Angle being constituted with monomer symmetry axis by explosive assembly casing normal and synthesizing acquisition with it, Shapiro formula are as follows：
Wherein, θSDeviate the drift angle of shell normal for Fragment Velocities vector；V0For Fragment Velocities；DeFor detonation wave velocity of wave；
Angle is constituted for explosive assembly casing normal and monomer symmetry axis；Angle is constituted for detonation wave front normal and monomer symmetry axis；K
For correction factor.
(d) Fragment Field distribution pattern is calculated
By theory analysis combination numerical simulation, obtain Fragment Field disperse deflection specific computation model parameter it is as follows：
When under quiescent conditions, fragmentation is in normal distribution using its mean direction angle that disperses as symmetry axis, and distribution function is：
Its fragment emission mean direction angle is：
When in the dynamic case, distribution function is：
Its dynamic deflection that disperses is：
Wherein, Φ0iFor fragment emission mean direction angle；s1iFor fire point to the distance of equivalent cylinder front inner surface；s2i
For fire point to the distance of equivalent circular tube rear end inner surface；vDFor explosion velocity of explosive；v0For Initial Velocities of Fragments degree；LiFor equivalent circular tube length
Degree；σiFor ΦiThe root-mean-square deviation at angle is equal to Ωi/ 3.3, ΩiFor fragment emission angle；Subscript v indicates relevant parameter under current intelligence
Value.
(e) Fragment Velocities attenuation coefficient is calculated
By the experiment of theory analysis combination ballistic rifle and numerical simulation, the specific computation model ginseng of Fragment Velocities decaying is obtained
Number is as follows：
Wherein, α is velocity attenuation coefficient；CxFor fragmentation head resistance coefficient；S is front face area；ρ is atmospheric density；G is
Acceleration of gravity；M is fragmentation quality.
2, shock wave power field analysis
Through analysis, shock wave power field major influence factors are：From positive pressure of shock wave, the specific impulse at explosion different distance
And the positive pressure of shock wave (the transmitting superpressure that consideration reflects to form) on target surface.
(a) positive pressure of shock wave is calculated
On the basis of numerical simulation and theory analysis, pass through the meter of shock motion superpressure attenuation characteristic under different situations
It calculates, to describe the superpressure distribution after warhead detonation in certain distance, obtains the calculating of positive pressure of shock wave at different distance
Model parameter.
1. calculation formula 1 in air
Wherein, Δ P+For shock wave overpressure peak；To compare distance；A, B, C and D are experiment fitting coefficient.
2. calculation formula 2 in air
Wherein, Δ PmFor peak overpressure；To compare distance,R is to the quick-fried heart
Distance；MTFor TNT equivalents；A, B, C, D, E, F, G and H are experiment fitting coefficient.
3. warhead is located at target internal explosion calculation formula
Wherein, Δ PfFor positive pressure of shock wave；W is the explosive payload in large space；H is the height in room；R is shock wave
Distance；A, B and C is experiment fitting coefficient.
4. warhead is located at around target calculation formula of exploding
Wherein, Δ PmFor positive pressure of shock wave；W is the explosive payload in large space；R is shock wave distance；A and B is examination
Test fitting coefficient.
(b) shock wave specific impulse is calculated
On the basis of numerical simulation and theory analysis, the computation model parameter of shock wave specific impulse at different distance is obtained such as
Under：
Wherein, i+For shock wave overpressure peak；R is comparison distance；K is experiment fitting coefficient；mbeFor charging quality.
(c) shock reflection superpressure is calculated
Reflection of the shock wave on rigid plane is divided into normal reflection, tiltedly transmitting and Mach reflection, in numerical simulation and theory
On analysis foundation, it is as follows to obtain computation model parameter：
When the surface of incident direction of wave travel vertical barrier just, i.e. angle of reflectionWhen normal reflection occurs,
Wherein, P0To be undisturbed the pressure of air；ΔP1For the superpressure of incidence wave；ΔP2For normal reflection superpressure；K is experiment
Correction factor；
Work as angle of reflectionWhen regular oblique reflection occurs,
Wherein, P0To be undisturbed the pressure of air；ΔP1For the superpressure of incidence wave；ΔP2For regular oblique reflection superpressure；K is
Test correction factor；α0For the critical angle of Mach reflection；For the incidence angle of the corresponding incidence wave of test point；
WhenWhen Mach reflection occurs,
Wherein, Δ PMFor Mach reflection superpressure；ΔPGFor ground burst when incident blast wave superpressure；K is that system is corrected in experiment
Number；α0For the critical angle of Mach reflection.
Finally, it should be noted that：The foregoing is merely presently preferred embodiments of the present invention, is merely to illustrate the skill of the present invention
Art scheme, is not intended to limit the scope of the present invention.Any modification for being made all within the spirits and principles of the present invention,
Equivalent replacement, improvement etc., are included within the scope of protection of the present invention.
Claims (10)
1. a kind of based on the numerical simulation assessment nature fragmentation type howitzer method of injuring power, which is characterized in that this method includes：
Characteristic is injured according to the explosion of howitzer, establishes the computation model of each power characterisitic parameter in fragment of warhead lethal effect field；
Power is injured by each computation model assessment howitzer.
2. the method according to claim 1 for injuring power based on numerical simulation assessment nature fragmentation type howitzer, feature
It is, the detailed process of the computation model for establishing each power characterisitic parameter in fragment of warhead lethal effect field is：
Establish fragmentation power field parameters computation model and shock wave power field parameters computation model.
3. the method according to claim 2 for injuring power based on numerical simulation assessment nature fragmentation type howitzer, feature
It is, the detailed process for establishing fragmentation power field parameters computation model is：
Establish the computation model of Gurney energy, the computation model of Initial Velocities of Fragments, the computation model at fragment emission angle, the Fragment Field side of dispersing
One or more of the computation model decayed to the computation model and Fragment Velocities at angle computation model.
4. the method according to claim 3 for injuring power based on numerical simulation assessment nature fragmentation type howitzer, feature
It is,
The computation model of Gurney energy is：
Wherein,For Gurney energy；DCFor explosion velocity；γ(ρC) be explosion gas polytropic index, be the function of degree of packing；
The computation model of Initial Velocities of Fragments is：
Wherein,For Gurney energy；β is mass ratio, i.e. explosive payload and shell mass ratio.
5. the method according to claim 3 for injuring power based on numerical simulation assessment nature fragmentation type howitzer, feature
It is,
The computation model at fragment emission angle is：
Wherein, θSDeviate the drift angle of shell normal, i.e. fragment emission angle for Fragment Velocities vector；V0For Fragment Velocities；DeFor detonation
Wave velocity of wave；Angle is constituted for explosive assembly casing normal and monomer symmetry axis；For detonation wave front normal and monomer symmetry axis
Constitute angle；K is correction factor；
The disperse computation model of deflection of Fragment Field is：
When under quiescent conditions, fragmentation is in normal distribution using its mean direction angle that disperses as symmetry axis, and distribution function is：
Its fragment emission mean direction angle is：
When in the dynamic case, distribution function is：
Its dynamic deflection that disperses is：
Wherein, Φ0iFor fragment emission mean direction angle；s1iFor fire point to the distance of equivalent cylinder front inner surface；s2iTo rise
Burst point to equivalent circular tube rear end inner surface distance；vDFor explosion velocity of explosive；v0For Initial Velocities of Fragments degree；LiFor equivalent drum length；σi
For ΦiThe root-mean-square deviation at angle is equal to Ωi/ 3.3, ΩiFor fragment emission angle；Subscript v indicates the value of relevant parameter under current intelligence.
6. the method according to claim 3 for injuring power based on numerical simulation assessment nature fragmentation type howitzer, feature
It is, the computation model of Fragment Velocities decaying is：
Wherein, α is velocity attenuation coefficient；CxFor fragmentation head resistance coefficient；S is front face area；ρ is atmospheric density；G is gravity
Acceleration；M is fragmentation quality.
7. the method according to claim 2 for injuring power based on numerical simulation assessment nature fragmentation type howitzer, feature
It is, the detailed process for establishing shock wave power field parameters computation model includes：
Establish the computation model of positive pressure of shock wave at different distance, the computation model of shock wave specific impulse and impact at different distance
One or more of the computation model of wave reflection superpressure computation model.
8. the method according to claim 7 for injuring power based on numerical simulation assessment nature fragmentation type howitzer, feature
Be, at different distance the computation model of positive pressure of shock wave include warhead be located at target internal explosion and warhead be located at target
Surrounding is exploded；
When warhead is located at target internal explosion time,
Wherein, Δ PfFor positive pressure of shock wave；W is the explosive payload in large space；H is the height in room；R is shock wave distance；
A, B and C is experiment fitting coefficient；
When warhead is located at explosion time around target,
Wherein, Δ PmFor positive pressure of shock wave；W is the explosive payload in large space；R is shock wave distance；A and B is that experiment is fitted
Coefficient.
9. the method according to claim 7 for injuring power based on numerical simulation assessment nature fragmentation type howitzer, feature
It is, the computation model of shock wave specific impulse is at different distance：
Wherein, i+For shock wave overpressure peak；R is comparison distance；K is experiment fitting coefficient；mbeFor charging quality.
10. the method according to claim 7 for injuring power based on numerical simulation assessment nature fragmentation type howitzer, feature
It is, when shock wave encounters barrier in communication process, the computation model of shock reflection superpressure is：
When the surface of incident direction of wave travel vertical barrier just, i.e. angle of reflectionWhen normal reflection occurs,
Wherein, P0To be undisturbed the pressure of air；ΔP1For the superpressure of incidence wave；ΔP2For normal reflection superpressure；K is that experiment is corrected
Coefficient；
Work as angle of reflectionWhen regular oblique reflection occurs,
Wherein, P0To be undisturbed the pressure of air；ΔP1For the superpressure of incidence wave；ΔP2For regular oblique reflection superpressure；K is experiment
Correction factor；α0For the critical angle of Mach reflection；For the incidence angle of the corresponding incidence wave of test point；WhenWhen Mach reflection occurs,
Wherein, Δ PMFor Mach reflection superpressure；ΔPGFor ground burst when incident blast wave superpressure；K is experiment correction factor；
α0For the critical angle of Mach reflection.
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| CN109916586A (en) * | 2019-03-08 | 2019-06-21 | 中国人民解放军战略支援部队航天工程大学 | A kind of calculation method of propellant tank bomb fragments initial velocity |
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| CN112100822A (en) * | 2020-08-26 | 2020-12-18 | 中国人民解放军63856部队 | System for evaluating power of typical fragment killing warhead |
| CN112446874A (en) * | 2020-12-11 | 2021-03-05 | 中国人民解放军国防科技大学 | Human-computer cooperation autonomous level damage assessment method |
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| CN116305640B (en) * | 2023-03-13 | 2024-03-22 | 武汉理工大学 | Ship cabin structure fragment damage evaluation model establishment method |
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