CN112946229A - Method for acquiring performance of aluminum-containing explosive based on cylinder-sheet device - Google Patents
Method for acquiring performance of aluminum-containing explosive based on cylinder-sheet device Download PDFInfo
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- 239000002360 explosive Substances 0.000 title claims abstract description 160
- XAGFODPZIPBFFR-UHFFFAOYSA-N aluminium Chemical compound [Al] XAGFODPZIPBFFR-UHFFFAOYSA-N 0.000 title claims abstract description 156
- 229910052782 aluminium Inorganic materials 0.000 title claims abstract description 104
- 238000000034 method Methods 0.000 title claims abstract description 57
- 238000005474 detonation Methods 0.000 claims abstract description 120
- 230000008569 process Effects 0.000 claims abstract description 32
- 238000002474 experimental method Methods 0.000 claims abstract description 29
- 239000000463 material Substances 0.000 claims abstract description 29
- 238000004880 explosion Methods 0.000 claims abstract description 10
- PQXKHYXIUOZZFA-UHFFFAOYSA-M lithium fluoride Inorganic materials [Li+].[F-] PQXKHYXIUOZZFA-UHFFFAOYSA-M 0.000 claims description 41
- 230000008859 change Effects 0.000 claims description 38
- 238000006073 displacement reaction Methods 0.000 claims description 38
- 230000009257 reactivity Effects 0.000 claims description 36
- 238000006243 chemical reaction Methods 0.000 claims description 13
- 239000000523 sample Substances 0.000 claims description 10
- 229910052751 metal Inorganic materials 0.000 claims description 7
- 239000002184 metal Substances 0.000 claims description 7
- 239000004411 aluminium Substances 0.000 claims description 4
- 230000009471 action Effects 0.000 claims description 2
- CLOMYZFHNHFSIQ-UHFFFAOYSA-N clonixin Chemical compound CC1=C(Cl)C=CC=C1NC1=NC=CC=C1C(O)=O CLOMYZFHNHFSIQ-UHFFFAOYSA-N 0.000 description 6
- RYGMFSIKBFXOCR-UHFFFAOYSA-N Copper Chemical compound [Cu] RYGMFSIKBFXOCR-UHFFFAOYSA-N 0.000 description 3
- 229910052802 copper Inorganic materials 0.000 description 3
- 239000010949 copper Substances 0.000 description 3
- 238000010586 diagram Methods 0.000 description 3
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- 238000010517 secondary reaction Methods 0.000 description 2
- 239000002904 solvent Substances 0.000 description 2
- 238000004590 computer program Methods 0.000 description 1
- 239000003814 drug Substances 0.000 description 1
- 239000011888 foil Substances 0.000 description 1
- 230000014509 gene expression Effects 0.000 description 1
- 230000000977 initiatory effect Effects 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 239000002923 metal particle Substances 0.000 description 1
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Abstract
The invention relates to a method for acquiring performance of an aluminum-containing explosive based on a cylinder-sheet device, belongs to the technical field of evaluating work performance of the aluminum-containing explosive, and solves the problems that the existing cylinder experiment has strong limitation and the performance of the aluminum-containing explosive cannot be researched based on the cylinder experiment. The method comprises the following steps: respectively carrying out explosion experiments on the aluminum-containing explosive and the inert material-containing explosive by using a cylinder-sheet device to obtain a relation that the expansion distance of the outer wall of a cylinder changes with time in the process of driving the detonation of the aluminum-containing explosive, a first relation that the movement distance of the sheet changes with time, and a second relation that the movement distance of the sheet changes with time in the process of driving the detonation of the inert material-containing explosive; obtaining a state equation of an aluminum-containing explosive detonation product based on the relation of the expansion distance of the outer wall of the cylinder changing along with time, the first changing relation and the second changing relation; and obtaining the explosion performance of the aluminum-containing explosive based on the state equation of the detonation product of the aluminum-containing explosive.
Description
Technical Field
The invention relates to the technical field of evaluating work performance of aluminum-containing explosives, in particular to a method for acquiring performance of aluminum-containing explosives based on a cylinder-sheet device.
Background
In high explosive research, high power is one of the main goals pursued. Adding metal particles into the explosive is an important way for improving the power of the explosive. Currently, aluminum-containing explosives account for a large proportion of military high-power explosives. The aluminum powder mainly improves the explosive explosion power from two aspects: on one hand, the aluminum powder reacts to release a large amount of heat, so that the explosive detonation heat is improved, and the total energy of the explosive is increased; on the other hand, the aluminum powder reaction changes the detonation energy release process of the explosive, so that the output time of the detonation energy of the explosive is prolonged, and the work doing capability of the explosive is improved. The detonation characteristics of the aluminum-containing explosive and the reaction mechanism of the aluminum powder in the detonation are fully known, the aluminum-containing explosive formula can be optimized, and the energy output structure of the explosive is improved, so that the explosive power is improved.
The experimental method for the explosive-driven cylinder can evaluate the metal accelerated work-doing capability of the cylinder, the speed of the cylinder in a two-dimensional constant expansion state is obtained through the experiment, the effect of an initiation mode and sparse axial boundary is neglected in the aluminum-containing explosive cylinder experiment, and the secondary reaction condition of the aluminum powder can be conveniently evaluated. At present, aluminum-containing explosives are used for driving a cylinder to do work, domestic and foreign researches are mainly focused on the aspect of experiments, however, the cylinder experiments cannot accurately measure and describe the reaction rule of aluminum powder in the expansion process of the cylinder, and further cannot establish the relation between the work performance of the explosives and the reaction mechanism of the aluminum powder in detonation products, so that the cylinder experiments have great limitations on the aluminum-containing explosives.
Disclosure of Invention
In view of the foregoing analysis, an embodiment of the present invention aims to provide a method for obtaining performance of an aluminum-containing explosive based on a cylinder-sheet apparatus, so as to solve the problems that the existing cylinder experiment has great limitations on the aluminum-containing explosive and the performance of the aluminum-containing explosive cannot be studied based on the cylinder experiment.
The embodiment of the invention provides an aluminum-containing explosive performance obtaining method based on a cylinder-sheet device, wherein the cylinder-sheet device at least comprises a cylinder and a metal sheet which is arranged in the cylinder and axially moves along with a detonation driving process, and the method comprises the following steps:
step S1: respectively carrying out explosion experiments on aluminum-containing explosives and inert material-containing explosives by using a cylinder-sheet device to obtain a relation that the expansion distance of the outer wall of a cylinder changes with time in the process of driving the detonation of the aluminum-containing explosives, a first relation that the movement distance of the sheet changes with time, and a second relation that the movement distance of the sheet changes with time in the process of driving the detonation of the inert material-containing explosives; the explosive containing the inert material is obtained by replacing aluminum in the explosive containing aluminum with inert material with equal mass;
step S2: obtaining a state equation of an aluminum-containing explosive detonation product based on the relation of the expansion distance of the outer wall of the cylinder changing along with time, the first changing relation and the second changing relation;
step S3: and obtaining the explosion performance of the aluminum-containing explosive based on the state equation of the detonation product of the aluminum-containing explosive.
On the basis of the scheme, the invention also makes the following improvements:
further, the step S2 includes:
step S21: obtaining a relation of the reactivity of the aluminum powder along with the relative specific volume of detonation products based on the relation of the expansion distance of the outer wall of the cylinder along with the change of time, the first change relation and the second change relation;
step S22: and obtaining the state equation of the detonation product of the aluminum-containing explosive based on the relation that the reactivity of the aluminum powder changes along with the relative specific volume of the detonation product.
Further, in the step S21, the variation relationship between the reactivity of the aluminum powder and the relative specific volume of the detonation product is obtained by performing the following steps:
step S211: and obtaining the reactivity of the aluminum powder at each moment based on the first change relation, the second change relation and a formula (1):
where m represents the mass of the sheet, η represents the sheet drive work efficiency, QAlRepresenting the reaction of aluminiumHeat, m1Representing the mass of the aluminum-containing explosive; alpha represents the mass fraction of aluminum powder in the aluminum-containing explosive; v. ofAl(t) and vLiF(t) respectively representing the sheet velocities of the aluminum-containing explosive and the inert material-containing explosive at the t-th moment in the detonation driving process, and obtaining v based on the first change relationAl(t) deriving v based on the second variation relationLiF(t), λ (t) represents the reactivity of the powdery aluminum at the time t;
step S212: obtaining the relative specific volume of detonation products at each moment based on the relation of the expansion distance of the outer wall of the cylinder along with the change of time;
step S213: and obtaining the relation of the aluminum powder reactivity with the relative specific volume of the detonation product based on the aluminum powder reactivity and the relative specific volume of the detonation product at each moment.
Further, obtaining an equation of state of the detonation product of the aluminum-containing explosive by performing the following operations:
step S221: obtaining the relation of the isentropic internal energy along with the relative specific volume change of detonation products based on the relation of the expansion distance of the outer wall of the cylinder along with the time change;
step S222: dividing a low-pressure stage and a medium-pressure stage based on the value of the relative specific volume of the detonation product;
obtaining unknown parameters C and omega in the formula (2) based on the relative specific volumes of two or more groups of detonation products at the low-pressure stage and corresponding aluminum powder reactivity and isentropic internal energy data fitting formula (2):
wherein,
respectively, when the relative specific volume of detonation product is
The aluminum powder reactivity and the isentropic internal energy;
two or more sets of detonation product phases based on medium pressure stageFitting a formula (3) to specific volume, corresponding aluminum powder reactivity and isentropic internal energy data to obtain unknown parameters B and R in the formula (3)2：
Detonation pressure p based on the aluminium-containing explosiveJAnd detonation velocity DJSimultaneous equations (4) and (5) to obtain the unknown parameters A and R in equations (4) and (5)1：
Wherein,
step S223: determining unknown parameters C, omega, B, R2A and R1Then, obtaining an equation of state of the detonation product of the aluminum-containing explosive:
further, the inert material is lithium fluoride.
Further, the cylinder-sheet device further comprises: the detonator, the explosive plane wave lens, the trigger probe, the booster charge, the charge sleeve and the cylinder are connected in sequence; and, set up in the radial direction of said cylinder and laser displacement interferometer of the axial direction;
the cylinder is used for placing the aluminum-containing explosive and the inert material-containing explosive to be tested.
Further, the detonation drive process begins with the trigger probe action, and ends with the barrel fully ruptured.
Further, the laser displacement interferometer arranged in the radial direction of the cylinder is used for acquiring the relation of the expansion distance of the outer wall of the cylinder driven by detonation along with time;
the laser displacement interferometer arranged in the axial direction of the cylinder is used for acquiring the relation of the change of the sheet movement distance along with time under the driving of detonation.
Further, a plurality of laser displacement interferometers are arranged at different positions of the cylinder in the radial direction, and the relation of the expansion distance of the outer wall of the cylinder driven by detonation along with time is obtained based on the average value of data collected by the plurality of laser displacement interferometers.
Further, the cylinder-sheet device further comprises a base; the base comprises a bottom plate, a side baffle plate vertically arranged on the bottom plate, 2 cylindrical outer hoops with through holes and a bottom baffle plate, wherein the cylinder penetrates through the through holes; wherein the 2 cylindrical outer hoops are parallel to each other; the side baffle is used for fixing the laser displacement interferometer arranged in the radial direction of the cylinder; the bottom baffle is used for fixing the laser displacement interferometer arranged in the axial direction of the cylinder
Compared with the prior art, the invention can realize at least one of the following beneficial effects:
the invention provides a method for acquiring performance of an aluminum-containing explosive based on a cylinder-sheet device, which organically combines the cylinder device and a sheet system, and provides a novel cylinder-sheet device.
In the invention, the technical schemes can be combined with each other to realize more preferable combination schemes. Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and drawings.
Drawings
The drawings are only for purposes of illustrating particular embodiments and are not to be construed as limiting the invention, wherein like reference numerals are used to designate like parts throughout.
FIG. 1 is a schematic diagram of a cylinder-sheet structure provided by an embodiment of the present invention;
FIG. 2 is a schematic diagram of a three-dimensional structure of a base according to an embodiment of the present invention;
FIG. 3 is a flow chart of a method for acquiring the performance of an aluminum-containing explosive based on a cylinder-sheet device, which is provided by the embodiment of the invention.
Reference numerals: 1-a detonator; 2-explosive plane wave lens; 3-a trigger probe; 4-booster charge; 5-a medicine column sleeve; 6-cylinder; 7-aluminum containing explosive/lithium fluoride containing explosive; 8-a metal foil; 9-laser Displacement Interferometer (DISAR); 10-laser Displacement Interferometer (DISAR); 11-base.
Detailed Description
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate preferred embodiments of the invention and together with the description, serve to explain the principles of the invention and not to limit the scope of the invention.
First, the cylinder-sheet apparatus used in the present embodiment is described: as shown in fig. 1, the cylinder-sheet device includes: the detonator 1, the explosive plane wave lens 2, the trigger probe 3, the booster charge 4, the charge sleeve 5 and the cylinder 6 are connected in sequence; a metal sheet 8 disposed in the cylinder and axially moving in accordance with the detonation drive process, and laser displacement interferometers disposed in radial and axial directions of the cylinder; the laser displacement interferometer 9 arranged in the radial direction of the cylinder is used for acquiring the relation of the expansion distance of the outer wall of the cylinder driven by detonation along with time; the laser displacement interferometer 10 disposed in the axial direction of the cylinder is used to acquire the time-varying relationship of the sheet movement distance under the detonation drive. A laboratory was conducted using the above-described cylinder-sheet apparatus, and an aluminum-containing explosive/lithium fluoride-containing explosive 7 was placed in a cylinder 6.
A plurality of laser displacement interferometers (shown as 9-a, 9-b and 9-c in figure 1) are arranged at different positions in the radial direction of the cylinder, the time-varying relation of the expansion distance of the outer wall of the cylinder under the driving of detonation is obtained based on the average value of data collected by the plurality of laser displacement interferometers, and the accuracy of the time-varying relation of the expansion distance of the outer wall of the cylinder determined in this way is higher. In addition, in order to avoid the influence of data errors on results, after a plurality of expansion distances of the outer wall of the cylinder at the same moment are acquired by a plurality of laser displacement interferometers arranged in the radial direction of the cylinder, error analysis can be performed firstly, and if the expansion distance of the outer wall of each cylinder meets the error requirement, the average value of the acquired plurality of distances is directly obtained; if one or more of the expansion distances of the outer walls of the cylinders do not meet the error requirement, the expansion distances of the outer walls of the cylinders which do not meet the error requirement are removed, and only the average value of the expansion distances of the outer walls of the rest cylinders is obtained. The error requirement can be adaptively set according to the experiment precision requirement.
In order to fix the positions of the cylinder and the laser displacement interferometer in the cylinder-sheet device, the cylinder-sheet device provided by the embodiment is further provided with a base 11, and a three-dimensional structural schematic diagram of the base is shown in fig. 2; the base 11 comprises a bottom plate, a side baffle plate vertically arranged on the bottom plate, 2 cylindrical outer hoops with through holes and a bottom baffle plate, wherein the cylinder penetrates through the through holes; the 2 pieces of cylindrical outer hoops are parallel to each other; the side baffle is used for fixing the laser displacement interferometer arranged in the radial direction of the cylinder; the bottom baffle is used for fixing the laser displacement interferometer arranged in the axial direction of the cylinder.
In the experimental procedure, the parameters were also set and the materials selected in the manner in table 1:
TABLE 1 auxiliary materials and associated physical parameters of the tool
Wherein, the material of the cylinder is oxygen-free copper, which is beneficial to delaying the expansion time of the cylinder and increasing the width of the secondary reaction area of the aluminum powder; meanwhile, in order to avoid the metal sheet from delaminating in the experimental process, the metal sheet is made of oxygen-free copper.
Before an experiment, a cylinder penetrates through a through hole in a cylinder outer hoop of a base to be fixed, and an explosive sample and an experimental device are sequentially installed according to a figure 1, wherein a side baffle of the base is used for fixing laser displacement interferometers of measuring points 1-3, a bottom baffle is used for fixing the laser displacement interferometer of measuring point 4, the base is mainly used for fixing the cylinder and the laser displacement interferometers so as to record data by using the laser displacement interferometers, the two cylinder outer hoops are both positioned in the rear half section of the cylinder, and the smooth movement and the unaffected movement direction of a sheet in the rear half section of the cylinder are kept by limiting the deformation of the rear half section of the cylinder under the condition that the expansion of the front half section of the cylinder is not affected.
In the experiment, firstly, a detonator explodes a plane wave lens of explosive, plane detonation waves generated by explosion explode a booster charge column, and further stronger detonation waves are generated to explode an aluminum-containing explosive sample 7, and the detonation products of the plane wave lens of explosive enable an ionization probe to give signals to start a laser displacement interferometer 9 and a laser displacement interferometer 10 at positions of measuring points 1-4, and when the cylinder is driven to expand and the sheet moves forwards while the aluminum-containing explosive explodes, the laser displacement interferometer records the axial movement speed of the center point of the sheet and the expansion speed of the outer wall of the cylinder. It should be noted that the data collected for the detonation-driven process in this embodiment starts with the triggering of the probe and ends with the complete rupture of the cylinder.
In the experiment process, when the relation of the expansion distance of the outer wall of the cylinder changing along with time is measured, two measuring points 1-2 are symmetrically arranged at the position 300mm away from the detonation end of the cylinder in each experiment, then one measuring point 3 is arranged at the position 350mm away from the detonation end of the cylinder, the measuring points 3 and 1 are arranged on the same side, three laser displacement interferometers in one experiment obtain three groups of experiment data, and error analysis and average value taking are carried out on the three groups of experiment data.
Aluminum powder is added into an ideal base explosive to improve the work performance of the explosive, and the post-effect reaction of the aluminum powder has an important influence on the work performance of the explosive. In order to compare the influence of the addition of the aluminum powder on the explosive driving work and the aluminum powder reactivity at each moment in the detonation driving process, in addition to the aluminum-containing explosive, an explosive 7 containing an inert material (such as lithium fluoride LiF) needs to be tested according to the test setting shown in FIG. 1; as LiF is an inert material, when the LiF is used as a component of an explosive, the LiF does not participate in the chemical reaction of the explosive, and the density of the LiF is similar to that of the aluminum powder, so that the LiF can be replaced according to the mass ratio of 1: 1. Therefore, after the experiment is completed, the aluminum powder in the aluminum-containing explosive formula is replaced by lithium fluoride with equal mass to prepare the lithium fluoride-containing explosive, and the lithium fluoride-containing explosive is subjected to the experiment according to the experiment setting shown in fig. 1, wherein the experiment steps and the collected physical parameters are the same as those of the experiment.
The present embodiment is based on the cylinder-sheet device described above, and forms the method for acquiring the performance of the aluminum-containing explosive based on the cylinder-sheet device in the present embodiment, and the flow chart is shown in fig. 3, and the method includes:
step S1: respectively carrying out explosion experiments on aluminum-containing explosives and inert material-containing explosives by using a cylinder-sheet device to obtain a relation that the expansion distance of the outer wall of a cylinder changes with time in the process of driving the detonation of the aluminum-containing explosives, a first relation that the movement distance of the sheet changes with time, and a second relation that the movement distance of the sheet changes with time in the process of driving the detonation of the inert material-containing explosives; the explosive containing the inert material is obtained by replacing aluminum in the explosive containing aluminum with inert material with equal mass;
step S2: obtaining a state equation of an aluminum-containing explosive detonation product based on the relation of the expansion distance of the outer wall of the cylinder changing along with time, the first changing relation and the second changing relation;
step S3: and obtaining the explosion performance of the aluminum-containing explosive based on the state equation of the detonation product of the aluminum-containing explosive.
Compared with the prior art, the embodiment provides a new cylinder-sheet device by organically combining the cylinder device and the sheet system, and the device can simultaneously acquire the first change relationship of the expansion distance of the outer wall of the cylinder and the movement distance of the sheet along with time in the detonation driving process of the aluminum-containing explosive, so that the driving acting capacity of the aluminum-containing explosive in the vertical detonation wave propagation direction and in the detonation wave propagation direction can be more accurately evaluated.
Preferably, the step S2 includes:
step S21: obtaining a relation of the reactivity of the aluminum powder along with the relative specific volume of detonation products based on the relation of the expansion distance of the outer wall of the cylinder along with the change of time, the first change relation and the second change relation; in particular, the amount of the solvent to be used,
step S211: and obtaining the reactivity of the aluminum powder at each moment based on the first change relation, the second change relation and a formula (1):
considering that when an explosive experiment containing lithium fluoride is carried out, the lithium fluoride keeps inertia and does not participate in reaction, and the work done on the cylinder and the sheet is completely the contribution of detonation energy of the base explosive; the aluminum-containing explosive does work on the cylinder and the sheet, and the aluminum powder participates in the reaction to release energy in addition to the detonation energy of the base explosive. In the process of simultaneously driving the cylinder and the sheet by the aluminum-containing explosive, the change rule of the reaction degree of detonation products on aluminum powder in the working process of the cylinder and the sheet along with time can be obtained according to the movement rule of the sheet, and the change rule is shown as a formula (1). The principle is as follows: the sheet kinetic energy driven by the lithium fluoride-containing explosive is subtracted from the sheet kinetic energy driven by the aluminum-containing explosive to obtain the useful work of the sheet by the energy released by the aluminum powder reaction, and then the aluminum powder reactivity of the detonation product in the working process of the cylinder and the sheet can be obtained according to the efficiency of driving the sheet to move by the energy released by the aluminum-containing explosive.
Where m represents the mass of the sheet, η represents the sheet drive work efficiency, QAlDenotes the heat of reaction of aluminum, m1Representing the mass of the aluminum-containing explosive; alpha represents the mass fraction of aluminum powder in the aluminum-containing explosive; empirically, QAl20.126KJ/g is taken, and eta is 0.18; v. ofAl(t) and vLiF(t) respectively representing the sheet velocities of the aluminum-containing explosive and the inert material-containing explosive at the t-th moment in the detonation driving process, and obtaining v based on the first change relationAl(t) (i.e., the relationship between distance, velocity, and time), and obtaining v based on the second variation relationshipLiF(t) (supra); v at the t-th timeAl(t)、vLiF(t) substituting the formula (1) to obtain the aluminum powder reactivity lambda (t) at the t-th moment, and repeating the process to obtain the aluminum powder reactivity at each moment;
step S212: obtaining the relative specific volume of detonation products at each moment based on the relation of the expansion distance of the outer wall of the cylinder along with the change of time;
in this step, the relative specific volume of detonation product
Satisfies the following conditions:
wherein v represents the specific volume of detonation product, v0Representing the initial specific volume of the explosive. Wherein V ═ VProduct of/mProduct of，VProduct ofIs the detonation product volume at the measuring point, i.e. the volume of the cylinder (V)Product of＝πr2dx, r is the inner diameter of the cylinder, dx is the length of the measuring point in the length direction of the cylinder), mProduct ofIs the mass of detonation product at the measuring point, and according to the mass conservation law in the process of detonating aluminium-containing explosive, the mass of detonation product is equal to the initial mass of explosive (
mExplosiveIs the initial mass of the explosive, p0Is the initial density of the explosive, r0Is the initial inner diameter of the cylinder), v0＝VExplosive/mExplosive，VExplosiveIs the initial volume of explosive at the point of measurement, i.e. the initial volume of the cylinder
In addition, in the embodiment, the laser displacement interferometer at the measuring points 1-3 records the change relationship of the expansion distance of the outer wall of the cylinder along with time, and according to the properties that the cylinder material is not compressible and the volume of the cylinder material is not changed in the expansion process of the cylinder, the relationship between the inner diameter and the outer diameter of the cylinder shown in the formula (3) can be obtained:
R(t)2-r(t)2＝R0 2-r0 2and R (t) ═ R0+ΔR(t) (3)
R (t) represents the outer diameter of the cylinder at time t, R0Is the initial outer diameter of the cylinder, r (t) represents the inner diameter of the cylinder at time t, r0Is the initial inner diameter of the cylinder, and is the displacement distance of the outer surface of the cylinder (namely the expansion distance of the outer wall of the cylinder at the t moment) recorded by the laser displacement interferometer at the t moment, the error analysis is carried out on the displacement change rule of the outer surface of the cylinder along with time recorded by measuring points 1-3 in the figure 1, and the average value is obtained to obtain the parameter R (t), and the parameter R is used for calculating the displacement distance of the outer surface of the cylinder according to the time0、r0And Δ R (t) obtaining the inner and outer diameters of the cylinder at time t.
The expressions of the relative specific volume of the detonation product with the time change relationship can be obtained by finishing the formulas (2) and (3):
wherein, DeltaR (t) represents the expansion distance of the outer wall of the cylinder of the aluminum-containing explosive at the t moment, the relative specific volume of the detonation product at the t moment can be obtained by substituting the expansion distance of the outer wall of the cylinder at the t moment into a formula (4), and the relative specific volume of the detonation product at each moment can be obtained by repeating the process;
step S213: and obtaining the relation of the aluminum powder reactivity with the relative specific volume of the detonation product based on the aluminum powder reactivity and the relative specific volume of the detonation product at each moment.
In addition, based on the aluminum powder reactivity and the expansion distance of the outer wall of the cylinder at each moment, the change relation of the aluminum powder reactivity along with the expansion distance of the outer wall of the cylinder can be obtained; based on the aluminum powder reactivity at each moment and the first change relationship, the change relationship of the aluminum powder reactivity with the movement distance of the sheet can be obtained.
Step S22: and obtaining the state equation of the detonation product of the aluminum-containing explosive based on the relation that the reactivity of the aluminum powder changes along with the relative specific volume of the detonation product.
Step S221: obtaining the relation of the isentropic internal energy along with the relative specific volume change of detonation products based on the relation of the expansion distance of the outer wall of the cylinder along with the time change;
step S2211: obtaining the isentropic internal energy and the specific volume of the detonation product at each moment based on the relation of the expansion distance of the outer wall of the cylinder changing along with time; in particular, the amount of the solvent to be used,
processing the expansion distance of the outer wall of the cylinder at each moment to obtain the expansion speed of the outer wall of the cylinder at the current moment (according to the relation among the distance, the speed and the time), and substituting the expansion speed into a formula (5), so that the isentropic internal energy corresponding to each moment can be obtained:
wherein mu represents the mass ratio of the cylinder to the explosive, u (t) represents the expansion speed of the outer wall of the cylinder of the aluminum-containing explosive at the t moment, and the expansion speed of the outer wall of the cylinder is obtained by processing the relation of the expansion distance of the outer wall of the cylinder changing along with time; q represents the detonation heat of the aluminum-containing explosive; m is a constant related to the property of the cylinder material, and when the cylinder is oxygen-free copper, the value of M is 0.5;
vm、v0respectively representing the initial specific volume of the cylinder and the initial specific volume of the explosive, and substituting u (t) at the t moment into a formula (5) to obtain the isentropic internal energy E at the t momentS(t), repeating the above process to obtain the isentropic internal energy at each moment;
step S2212: obtaining the relation of the isentropic internal energy and the relative specific volume of the detonation product based on the isentropic internal energy and the relative specific volume of the detonation product at each moment;
it should be noted that the equation of state of the detonation product of the aluminum-containing explosive satisfies the following relationship:
however, where the parameters A, B, C, ω, R1、R2All unknown numbers are determined according to the acquired information, and the determination process of the unknown parameters is described as follows:
step S222: dividing a low-pressure stage and a medium-pressure stage based on the value of the relative specific volume of the detonation product; illustratively, when the relative specific volume of detonation products is greater than 6, it is in a low-pressure stage; when the relative specific volume of the detonation product is between 2 and 5, the detonation product is in a medium-pressure stage;
obtaining unknown parameters C and omega in the formula (7) based on the relative specific volumes of two or more groups of detonation products at the low-pressure stage and corresponding aluminum powder reactivity and isentropic internal energy data fitting formula (7):
wherein,
respectively, when the relative specific volume of detonation product is
The aluminum powder reactivity and the isentropic internal energy;
obtaining unknown parameters B and R in the formula (8) based on the relative specific volumes of two or more groups of detonation products at the medium-pressure stage and the corresponding aluminum powder reactivity and isentropic internal energy data fitting formula (8)2：
Detonation pressure p based on the aluminium-containing explosiveJAnd detonation velocity DJSimultaneous disclosureEquations (9) and (10) to obtain the unknown parameters A and R in equations (9), (10)1：
Wherein,
step S223: determining unknown parameters C, omega, B, R2A and R1Then, obtaining an equation of state of the detonation product of the aluminum-containing explosive:
after the state equation of the detonation product of the aluminum-containing explosive is determined, the detonation performance of the aluminum-containing explosive can be obtained based on the state equation of the detonation product of the aluminum-containing explosive, and specifically, the detonation damage effect and the driving work performance of the aluminum-containing explosive can be researched by a simulation method based on the state equation of the detonation product of the aluminum-containing explosive obtained by fitting.
Those skilled in the art will appreciate that all or part of the flow of the method implementing the above embodiments may be implemented by a computer program, which is stored in a computer readable storage medium, to instruct related hardware. The computer readable storage medium is a magnetic disk, an optical disk, a read-only memory or a random access memory.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention.
Claims (10)
1. An aluminum-containing explosive property acquisition method based on a cylinder-sheet device, which is characterized in that the cylinder-sheet device at least comprises a cylinder and a metal sheet which is arranged in the cylinder and moves axially along with a detonation driving process, and the method comprises the following steps:
step S1: respectively carrying out explosion experiments on aluminum-containing explosives and inert material-containing explosives by using a cylinder-sheet device to obtain a relation that the expansion distance of the outer wall of a cylinder changes with time in the process of driving the detonation of the aluminum-containing explosives, a first relation that the movement distance of the sheet changes with time, and a second relation that the movement distance of the sheet changes with time in the process of driving the detonation of the inert material-containing explosives; the explosive containing the inert material is obtained by replacing aluminum in the explosive containing aluminum with inert material with equal mass;
step S2: obtaining a state equation of an aluminum-containing explosive detonation product based on the relation of the expansion distance of the outer wall of the cylinder changing along with time, the first changing relation and the second changing relation;
step S3: and obtaining the explosion performance of the aluminum-containing explosive based on the state equation of the detonation product of the aluminum-containing explosive.
2. The method for acquiring the performance of the aluminum-containing explosive based on the cylinder-sheet device according to claim 1, wherein the step S2 comprises the following steps:
step S21: obtaining a relation of the reactivity of the aluminum powder along with the relative specific volume of detonation products based on the relation of the expansion distance of the outer wall of the cylinder along with the change of time, the first change relation and the second change relation;
step S22: and obtaining the state equation of the detonation product of the aluminum-containing explosive based on the relation that the reactivity of the aluminum powder changes along with the relative specific volume of the detonation product.
3. The method for acquiring the performance of the aluminum-containing explosive based on the cylinder-sheet device as claimed in claim 2, wherein the variation of the reactivity of the aluminum powder with the relative specific volume of detonation products is acquired in the step S21 by executing the following steps:
step S211: and obtaining the reactivity of the aluminum powder at each moment based on the first change relation, the second change relation and a formula (1):
where m represents the mass of the sheet, η represents the sheet drive work efficiency, QAlDenotes the heat of reaction of aluminum, m1Representing the mass of the aluminum-containing explosive; alpha represents the mass fraction of aluminum powder in the aluminum-containing explosive; v. ofAl(t) and vLiF(t) respectively representing the sheet velocities of the aluminum-containing explosive and the inert material-containing explosive at the t-th moment in the detonation driving process, and obtaining v based on the first change relationAl(t) deriving v based on the second variation relationLiF(t), λ (t) represents the reactivity of the powdery aluminum at the time t;
step S212: obtaining the relative specific volume of detonation products at each moment based on the relation of the expansion distance of the outer wall of the cylinder along with the change of time;
step S213: and obtaining the relation of the aluminum powder reactivity with the relative specific volume of the detonation product based on the aluminum powder reactivity and the relative specific volume of the detonation product at each moment.
4. The method for acquiring the performance of the aluminum-containing explosive based on the cylinder-sheet device, according to claim 3, wherein the state equation of the detonation product of the aluminum-containing explosive is acquired by performing the following operations:
step S221: obtaining the relation of the isentropic internal energy along with the relative specific volume change of detonation products based on the relation of the expansion distance of the outer wall of the cylinder along with the time change;
step S222: dividing a low-pressure stage and a medium-pressure stage based on the value of the relative specific volume of the detonation product;
obtaining unknown parameters C and omega in the formula (2) based on the relative specific volumes of two or more groups of detonation products at the low-pressure stage and corresponding aluminum powder reactivity and isentropic internal energy data fitting formula (2):
wherein,
respectively, when the relative specific volume of detonation product is
The aluminum powder reactivity and the isentropic internal energy;
obtaining unknown parameters B and R in the formula (3) based on the relative specific volumes of two or more groups of detonation products at the medium-pressure stage and the corresponding aluminum powder reactivity and isentropic internal energy data fitting formula (3)2：
Detonation pressure p based on the aluminium-containing explosiveJAnd detonation velocity DJSimultaneous equations (4) and (5) to obtain the unknown parameters A and R in equations (4) and (5)1：
Wherein,
step S223: determining unknown parameters C, omega, B, R2A and R1Then, obtaining an equation of state of the detonation product of the aluminum-containing explosive:
5. the method for obtaining the performance of an aluminum-containing explosive based on a cylinder-sheet device according to any one of claims 1 to 4, wherein the inert material is lithium fluoride.
6. The method for acquiring the performance of an aluminum-containing explosive based on a cylinder-sheet device according to claim 1, wherein the cylinder-sheet device further comprises: the detonator, the explosive plane wave lens, the trigger probe, the booster charge, the charge sleeve and the cylinder are connected in sequence; and, set up in the radial direction of said cylinder and laser displacement interferometer of the axial direction;
the cylinder is used for placing the aluminum-containing explosive and the inert material-containing explosive to be tested.
7. The method for acquiring the performance of the aluminum-containing explosive based on the cylinder-sheet device according to claim 6, wherein the detonation driving process is started from the action of the trigger probe and ended from the complete rupture of the cylinder.
8. The method for acquiring the performance of an aluminum-containing explosive based on a cylinder-sheet device according to claim 6,
the laser displacement interferometer is arranged in the radial direction of the cylinder and is used for acquiring the relation of the expansion distance of the outer wall of the cylinder driven by detonation along with time;
the laser displacement interferometer arranged in the axial direction of the cylinder is used for acquiring the relation of the change of the sheet movement distance along with time under the driving of detonation.
9. The method for acquiring the performance of an aluminum-containing explosive based on a cylinder-sheet device according to claim 7,
and arranging a plurality of laser displacement interferometers at different positions of the cylinder in the radial direction, and obtaining the relation of the expansion distance of the outer wall of the cylinder driven by detonation along with time based on the average value of data acquired by the plurality of laser displacement interferometers.
10. The method for obtaining the performance of an aluminum-containing explosive based on a cylinder-sheet device according to claim 8 or 9, wherein the cylinder-sheet device further comprises a base; the base comprises a bottom plate, a side baffle plate vertically arranged on the bottom plate, 2 cylindrical outer hoops with through holes and a bottom baffle plate, wherein the cylinder penetrates through the through holes; wherein the 2 cylindrical outer hoops are parallel to each other; the side baffle is used for fixing the laser displacement interferometer arranged in the radial direction of the cylinder; the bottom baffle is used for fixing the laser displacement interferometer arranged in the axial direction of the cylinder.
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