CN104990460A - Curve distribution type shock wave bullet positioning apparatus and impact point positioning method thereof - Google Patents
Curve distribution type shock wave bullet positioning apparatus and impact point positioning method thereof Download PDFInfo
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- 230000035939 shock Effects 0.000 title claims abstract description 66
- 238000000034 method Methods 0.000 title claims abstract description 15
- 239000000741 silica gel Substances 0.000 claims description 12
- 229910002027 silica gel Inorganic materials 0.000 claims description 12
- VYPSYNLAJGMNEJ-UHFFFAOYSA-N Silicium dioxide Chemical compound O=[Si]=O VYPSYNLAJGMNEJ-UHFFFAOYSA-N 0.000 claims description 11
- 230000004308 accommodation Effects 0.000 claims description 9
- 230000004807 localization Effects 0.000 claims description 6
- 230000006698 induction Effects 0.000 claims description 3
- 238000013459 approach Methods 0.000 claims description 2
- 239000000463 material Substances 0.000 claims description 2
- 238000012544 monitoring process Methods 0.000 claims description 2
- 230000036632 reaction speed Effects 0.000 abstract 1
- 238000005516 engineering process Methods 0.000 description 7
- 238000012549 training Methods 0.000 description 5
- 238000001514 detection method Methods 0.000 description 3
- 230000008569 process Effects 0.000 description 3
- 230000007812 deficiency Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 230000009467 reduction Effects 0.000 description 2
- 238000009825 accumulation Methods 0.000 description 1
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- 239000002360 explosive Substances 0.000 description 1
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Abstract
The invention relates to the field of accurate shooting automatic target-scoring equipment, and specifically relates to a curve distribution type shock wave bullet positioning apparatus and an impact point positioning method thereof. The apparatus comprises sensors and a support. The sensors comprise a middle sensor arranged in the middle part of the support, and side sensors symmetrically arranged at the two ends of the middle sensor. All the sensors are sequentially arranged along the circumference of the same circle, the circle center of the circle is located towards sensing ends of the sensors, and the circle center is located on a connecting line of the middle sensor and the center point of a target sheet. When the radius of the circle formed by the sensors is the minimum, the circle center is located at the center point of the target sheet. The invention also provides the impact point positioning method for the apparatus mentioned above. According to the method, a rectangular coordinate system is established by employing the middle sensor as the origin of coordinates, employing the horizontal direction as an X-axis, and employing the vertical direction as a Y-axis, and equations are solved through a trilateral relation theorem, so that positioning calculation steps are simplified, and the real reaction speed and target-scoring efficiency can be further improved.
Description
Technical field
The present invention relates to precision shooting automatic target-reporting equipment field, be specifically related to a kind of curve distribution formula shock wave bullet positioner and point of impact localization method thereof.
Background technology
In today of electronic technology high speed development, for realizing rapid and accurate indication of shots function during small arms ball firing training, by metallic object two/new and high technology such as multilayer break-make technology, laser interrupter-type technology, image recognition technology and even box-type shock wave acoustic target technology based on automatic target-reporting equipment be widely applied.Wherein, to adopt sound wave to realize noncontact, long service life and cost performance higher and be used widely because of it for shock wave acoustic target equipment.Domestic current existing shock wave acoustic target equipment many employings L-type or yi word pattern sensor array column distribution, wherein L-type complex structure and sensor are arranged highly higher, and the equipment that is simultaneously not easy to is shellproof, and therefore utilization rate is lower.In yi word pattern sensor array distribution mode, sensor is uniform along target surface central lower level, therefore uses wider.But, due to bullet point of impact produce shock wave in atmosphere propagation can there is waveform attenuating, when the distance that shock wave arrives each sensor is different, its propagation time is also different, and the impact brought is that the signal waveform that each sensor receives is different.The larger different wave shape of range difference is larger, and the timer operation time that computing time is poor is simultaneously longer.Because waveform is different, will error be there is in judgement the time of advent when signal transacting for waveform.In addition, timer itself has error, makes its working time longer, and the time error of accumulation is also longer.So when sensor adopts horizontal distribution, all shock propagation range difference can be there is in any point in target position district, especially there is range difference at 8-10 ring maximum, so take its trueness error of horizontal distribution formula array larger at 8-10 ring, the requirement of the frequent shooter trained to shooting indication of shots precision can not be met, because precision shooter beats in the point of impact of 8-10 ring more.And the point of impact locate mode of current horizontal yi word pattern sensor array, the Hyperbolic Equation that adopts solves more, and its solution procedure is comparatively complicated, also further improves the complexity that equipment calculates.Wear and how to seek the more convenient and shock wave locate mode that positioning precision is higher of a kind of calculating, to stop above-mentioned deficiency, under the prerequisite ensureing precision shooting training effectiveness, realizing the high precision location of bullet and quick computation requirement, is the technical barrier that this area is urgently to be resolved hurrily in recent years.
Summary of the invention
Object of the present invention is and overcomes above-mentioned the deficiencies in the prior art, a kind of curve distribution formula shock wave bullet positioner is provided, it can under the prerequisite ensureing precision shooting training effectiveness, lifting means computational efficiency, and synchronously realize the more high-precision positioning requirements of bullet, thus ensure accuracy and the rapidity of shooting indication of shots; Meanwhile, the present invention also provides corresponding point of impact localization method, to simplify its coordinate calculating process, thus promotes real reaction and the indication of shots efficiency of indication of shots equipment further.
For achieving the above object, present invention employs following technical scheme:
Curve distribution formula shock wave bullet positioner, comprise sensor for monitoring point of impact shock wave and for settling the support of each sensor, described sensor be more than three odd number and along target sheet paper horizontally set, the induction end of sensor is towards direction, target sheet place, and between each sensor, line is in isoplanar and is arranged in parallel with target sheet paper; Sensor comprises each side edge sensor being positioned at middle intermediate sensor and being symmetrically arranged in intermediate sensor two ends, and intermediate sensor is positioned at immediately below target sheet central point to be located; It is characterized in that: described each sensor is to be arranged successively along same circumference, the center of circle of this circumference is positioned at sensor sensing end institute towards direction place, and its home position is positioned on the line of intermediate sensor and target sheet central point; When the circumference that sensor is formed is in least radius, its center of circle is positioned at target sheet central spot.
Described sensor is three, and the intersection point that target sheet eight loop wire and the horizontal line through target sheet central point are formed equals target sheet central point to intermediate sensor spacing to nearest side edge sensor spacing.
The rectangular channel bar shape of described contoured cradle, its trough rim top, both sides and bottom land midline all offer the poroid accommodation hole of ladder for holding sensor; This device also comprises pad and is located at outside sensor to isolate the silica gel sheath of accommodation hole and sensor, described silica gel sheath profile is in the straight cylindrical structure with accommodation hole external shape fits, postpones downwards along its axis and be provided with for coordinating with the small-bore section of accommodation hole and the extension of clamping in silica gel sheath bottom.
This device also comprises the shock wave focus lid being attached at sensor sensing end end, and described shock wave focus lid is the round lid-like of silica gel material; The circle centre position of shock wave focus lid is offered and is run through lid so that the through hole that enters of shock wave; Shock wave focus lid towards end face residing for shock wave approach axis be recessed cone bowl structure.
Apply a point of impact localization method for curve distribution formula shock wave bullet positioner as claimed in claim 2, it is characterized in that comprising following steps:
Make three sensing stations be respectively A, B, C from left to right, wherein the horizontal range of sensors A, C is L, and sensor B is positioned at A, C centre position as intermediate sensor; Short transverse sensor B distance A or C is h; With sensor B for the origin of coordinates, horizontal direction is X-axis, and vertical direction is Y-axis, sets up rectangular coordinate system, and shooting point represents with S, and now coordinate calculates and is divided into three kinds of situations:
1), bullet shooting the and first shock wave produced arrives sensors A
In above-mentioned situation, shooting point S is positioned at the second picture limit of coordinate system, and therefore x is negative value;
To shoot the distance of some S to sensors A for SA, the distance of shooting point S to sensor B is SB, and the distance of shooting point S to sensor C is SC; The time difference obtaining shock wave arrival sensors A and sensor B is t
1, then SB-SA=t
1* V, wherein V is the velocity of sound under Current Temperatures environment; In like manner, the time difference obtaining shock wave arrival sensors A and sensor C is t
2, SC-SA=t
2* V;
If SA=a, SB-SA=b, SC-SA=c, known AB
level=BC
level=L/2, makes vertical line along S point to X-axis, and this vertical line and AC line intersection point are F, are G, FG=AB with X-axis intersection point
highly=BC
highly=h, then:
For Δ SGB, by Pythagorean theorem, can establish an equation:
x
2+y
2＝(a+b)
2(1)
For Δ SFC, by Pythagorean theorem, can establish an equation
(y-h)
2+(L/2-x)
2＝(a+c)
2(2)
For Δ SFA, by Pythagorean theorem, can establish an equation
(y-h)
2+(L/2+x)
2＝a
2(3)
Set up equation group according to equation (1), (2), (3), solve and obtain x, y, a numerical value, obtain point of impact coordinate;
2), bullet shooting the and first shock wave produced arrives sensor B
In above-mentioned situation, shooting point S is positioned near coordinate system y-axis, and its X-coordinate can just can be born;
To shoot the distance of some S to sensors A for SA, the distance of shooting point S to sensor B is SB, and the distance of shooting point S to sensor C is SC; The time difference obtaining shock wave arrival sensor B and sensors A is t
1, then SA-SB=t
1* V; The time difference obtaining shock wave arrival sensor C and sensor B is t
2, SC-SB=t
2* V;
If SB=b, SA-SB=a, SC-SB=c, known AB
level=BC
level=L/2, makes vertical line along S point to X-axis, and this vertical line and AC line intersection point are F, are G, FG=AB with X-axis intersection point
highly=BC
highly=h, then:
For Δ SGB, can establish an equation:
x
2+y
2＝b
2(4)
For Δ SFC, can establish an equation
(y-h)
2+(L/2-x)
2＝(b+c)
2(5)
For Δ SFA, can establish an equation
(y-h)
2+(L/2+x)
2＝(b+a)
2(6)
Set up equation group according to equation (4), (5), (6), solve and obtain x, y, b numerical value, obtain point of impact coordinate;
3), bullet shooting the and first shock wave produced arrives sensor C
In above-mentioned situation, shooting point S is positioned at the first picture limit of coordinate system, and its X-coordinate is just;
To shoot the distance of some S to sensors A for SA, the distance of shooting point S to sensor B is SB, and the distance of shooting point S to sensor C is SC; The time difference obtaining shock wave arrival sensor C and sensors A is t
1, then SA-SC=t
1* V; The time difference obtaining shock wave arrival sensor B and sensor C is t
2, SB-SC=t
2* V;
If SC=c, SA-SC=a, SB-SC=b, known AB
level=BC
level=L/2, makes vertical line along S point to X-axis, and this vertical line and AC line intersection point are F, are G, FG=AB with X-axis intersection point
highly=BC
highly=h, then
For Δ SGB, can establish an equation:
x
2+y
2＝(c+b)
2(7)
For Δ SFC, can establish an equation
(y-h)
2+(L/2-x)
2＝c
2(8)
For Δ SFA, can establish an equation
(y-h)
2+(L/2+x)
2＝(c+a)
2(9)
Set up equation group according to equation (7), (8), (9), solve and obtain x, y, c numerical value, obtain point of impact coordinate.
Major advantage of the present invention is:
1), on the basis of traditional horizontal sensor array, the present invention proposes the sensor construction of curve distribution formula, because each sensor forms curve pattern, point of impact place shock wave during each point of impact at round target place high number of rings especially obtains effective reduction to the propagation distance at each side edge sensor place.Its waveform attenuating corresponding is lower, the signal waveform that each side edge sensor receives is more accurate, diversity factor is lower, finally reach the effect promoting accuracy of waveform and reduce waveform error degree, and the waveform especially reduced when the contour number of rings of shooting 8-10 ring transmits distance, improve the indication of shots precision when shooting high number of rings reliably.The present invention can under the prerequisite ensureing precision shooting training effectiveness, lifting means computational efficiency, and the more high-precision positioning requirements that synchronously can realize bullet.
2), the home position of curve pattern that forms of each sensor, be related to the computational efficiency height of each number of rings point of impact.As the curve pattern center of circle when sensor is positioned at target surface central point, and when point of impact is target surface center, the distance that shock wave arrives three sensors is identical, and uniformity in waveform is good, and the timer operation time of difference computing time is 0, and corresponding response efficiency is naturally high.But, consider that traditional precision fire is mostly in 8-10 ring place, therefore, by side edge sensor spacing extremely nearest with the intersection point formed through the horizontal line of target sheet central point for target sheet 8 loop wire is equaled target sheet central point to intermediate sensor spacing, thus reach when point of impact is positioned at 8-10 ring place and the time difference of each sensor is all in desirable minimum of a value place.Within sound wave focusing range is narrowed down to 8 rings, improve the indication of shots precision within 8 rings, meet current precision fire training demand.
3), the profile of support can with reference to existing straight-bar structure, and by its two ends lifting, thus form similar trough with straight angle rodding structure.Its two ends and central spot all arrange that accommodation hole is to settle each sensor.By the layout of silica gel sheath, ensure that the waveform interference phenomenon between each adjacent sensors, to promote its waveform acquisition precision.
4), shock wave focus lid be set to another emphasis of the present invention.The induction end of current Shock Wave Sensors all adopts pressure plate structure, relies on outside shock-impingement pressure plate to produce deformation, thus obtains signal.And expose completely due to traditional sensor senses end, when outside shock-impingement is to pressure plate, likely make because of the deflection of projected angle of impact pressure plate edge first put forth effort, cause pressure plate center to produce " heaving " phenomenon on the contrary, have impact on the precision of signals collecting greatly.The present invention by the silica gel shock wave focus lid with through hole, thus protects the pressure plate edge at sensor sensing end place, makes shock wave directly to clash into pressure plate center along through hole and to make its indent, thus obtains best signals collecting effect.The bowl-shape structure of its end face, even be then ensure that the oblique shock wave passed over, still enter accurately in through hole and to have influence on pressure plate, to promote its functional reliability.
5), on the basis of said structure, be different from current Hyperbolic Equation and solve, present invention also offers a kind of three limit theorems and solve mode, to optimize its coordinate solution procedure.By simple data acquisition and substitution, three limit theorems can be relied on to realize its solving result, its calculating is more simple, and system complexity is lower, and corresponding indication of shots efficiency obviously also can be promoted further.
Accompanying drawing explanation
Fig. 1 is the perspective view of this device;
Fig. 2 is the front view of Fig. 1;
Fig. 3 is silica gel sheath, shock wave focus lid with coordinate explosive view between sensor;
Fig. 4 is the profile of shock wave focus lid;
The center of circle of the curve pattern that Fig. 5 is formed for each sensor is positioned at the view of target surface central spot;
Each sensor that Fig. 6 is this device form the position state diagram of curve pattern;
Fig. 7 is shock wave that bullet shooting produces point of impact coordinate system figure when first arriving sensors A;
Fig. 8 is shock wave that bullet shooting produces point of impact coordinate system figure when first arriving sensor B;
Fig. 9 is shock wave that bullet shooting produces point of impact coordinate system figure when first arriving sensor C.
In accompanying drawing, the corresponding relation of each label and each component names of the present invention is as follows:
A-target sheet
10-support 21-intermediate sensor 22-side edge sensor
30-silica gel sheath 40-shock wave focus lid 41-through hole
Detailed description of the invention
For ease of understanding, by reference to the accompanying drawings following further describing is done to concrete testing arrangement of the present invention and operating process thereof herein:
The concrete structure of this device, as Figure 1-4, the curve distribution array that its bag is formed for three sensors.It comprises an intermediate sensor 21 and two symmetrical side edge sensor 22, and the position of intermediate sensor 21 is positioned at immediately below target sheet a central point.The layout height of dual-side sensor 22 higher than intermediate sensor 21 height, and is positioned at intermediate sensor 21 with on the line of target sheet a central point in the center of circle.
In fact, as shown in Figure 6, above-mentioned curve distribution array can consider with 10 ring centers also namely target surface center for round dot, the circular curve being radius to the distance of side edge sensor 22 with 10 ring centers.The indication of shots target surface size that the horizontal range of dual-side sensor 22 needs according to shooting determines.Its beneficial effect is, when point of impact is 10 ring center, the distance that shock wave arrives three sensors is identical, uniformity in waveform is good, the timer operation time of difference computing time is 0, thus device responds efficiency when improving high accuracy shooting greatly, and improve its indication of shots precision; Simultaneously also can arrive the range difference of each sensor by each point of impact shock wave within corresponding reduction 8 ring, improve the indication of shots precision in 8-10 ring.
And consider current precision shooting present situation, no doubt can not play 10 rings, but beyond 8 rings, situation is also few at every turn.Therefore, for each point of impact shock wave reached within 8 rings arrives the optimization of the range difference of each sensor, reduce the height (it is higher that highly higher armour just needs to do, and equipment cost and weight are increased) of side edge sensor 22 simultaneously.Target sheet central point is equaled to intermediate sensor 21 spacing to nearest side edge sensor 22 spacing by the intersection point 8 loop wires of target sheet a and the horizontal line through target sheet central point formed, as shown in Figure 5, the circular curve of the now concyclic formation of each sensor is the curve of the curve distribution formula of this device.
The corresponding point of impact localization method of this device is as follows:
As in three sensor coordinates figure of Fig. 7-9, be shownly respectively sensors A, B, C from left to right.Wherein the horizontal range of sensors A, C is L, and sensor B is positioned at A, C centre position.Sensors A, C are positioned at sustained height, and short transverse sensor B distance A or C is h.With sensor B for the origin of coordinates, horizontal direction is X-axis, and vertical direction is Y-axis, sets up rectangular coordinate system, and shooting point represents with S, as Figure 7-9.
Coordinate calculates and is divided into three kinds of situations:
1), A head meets
In the first chance situation of A, as shown in Figure 7, in this case, shooting point S can only be positioned at the second picture limit of coordinate system to the coordinate position of shooting point, and therefore x should be negative value.
A head meets as bullet shooting the and first first-harmonic that produces arrives detection A, then shooting point is SA to the distance of sensors A, in figure, and SD=SE=SA.If the time difference that first-harmonic arrives sensors A and sensor B is t
1, then DB=t
1* V, wherein V is the velocity of sound under Current Temperatures environment.In like manner, if the time difference that first-harmonic arrives sensors A and sensor C is t
2, EC=t
2* V.
If SA=SD=SE=a, DB=b, EC=c, known AB
level=BC
level=L/2, FG=h.
For Δ SGB, can establish an equation:
x
2+y
2＝(a+b)
2(1)
For Δ SFC, can establish an equation
(y-h)
2+(L/2-x)
2＝(a+c)
2(2)
For Δ SFA, can establish an equation
(y-h)
2+(L/2+x)
2＝a
2(3)
Can equation group be set up according to equation (1), (2), (3), x, y, a are solved.
2), B head meets
In the first chance situation of B, as shown in Figure 8, in this case, shooting point S is positioned near coordinate system y-axis the coordinate position of shooting point, and its X-coordinate can just can be born.
B head meets as bullet shooting the and first first-harmonic that produces arrives detection B, then shooting point is SB to the distance of sensor B, in figure, and SD=SB=SE.If the time difference that first-harmonic arrives sensor B and sensors A is t
1, then DA=t
1* V.In like manner, if the time difference that first-harmonic arrives sensor C and sensor B is t
2, EC=t
2* V.
If SD=SB=SE=b, AD=a, EC=c, known AB
level=BC
level=L/2, FG=h.
For Δ SGB, can establish an equation:
x
2+y
2＝b
2(4)
For Δ SFC, can establish an equation
(y-h)
2+(L/2-x)
2＝(b+c)
2(5)
For Δ SFA, can establish an equation
(y-h)
2+(L/2+x)
2＝(b+a)
2(6)
Can equation group be set up according to equation (4), (5), (6), x, y, b are solved.
3), C head meets
In the first chance situation of C, as shown in Figure 9, in this case, shooting point S is positioned at the first picture limit of coordinate system to the coordinate position of shooting point, and its X-coordinate is just.
C head meets as bullet shooting the and first first-harmonic that produces arrives detection C, then shooting point is SC to the distance of sensor C, in figure, and SC=SD=SE.If the time difference that first-harmonic arrives sensors A and sensor C is t
1, then EA=t
1* V.In like manner, if the time difference that first-harmonic arrives sensor B and sensor C is t
2, DB=t
2* V.
If SC=SD=SE=c, AE=a, BD=b, known AB
level=BC
level=L/2, FG=h.
For Δ SGB, can establish an equation:
x
2+y
2＝(c+b)
2(7)
For Δ SFC, can establish an equation
(y-h)
2+(L/2-x)
2＝c
2(8)
For Δ SFA, can establish an equation
(y-h)
2+(L/2+x)
2＝(c+a)
2(9)
Can equation group be set up according to equation (1), (2), (3), x, y, c are solved.
Be more than the derivation algorithm of the coordinate position of shooting point, in computational process, there will be bilingual problem, according to actual conditions, remove the solution that may not occur.
Claims (5)
1. a curve distribution formula shock wave bullet positioner, comprise sensor for monitoring point of impact shock wave and for settling the support (10) of each sensor, described sensor be more than three odd number and along target sheet paper horizontally set, the induction end of sensor is towards direction, target sheet place, and between each sensor, line is in isoplanar and is arranged in parallel with target sheet paper; Sensor comprises each side edge sensor (22) being positioned at middle intermediate sensor (21) and being symmetrically arranged in intermediate sensor (21) two ends, and intermediate sensor (21) is positioned at immediately below target sheet central point to be located; It is characterized in that: described each sensor is to be arranged successively along same circumference, the center of circle of this circumference is positioned at sensor sensing end institute towards direction place, and its home position is positioned at intermediate sensor (21) with on the line of target sheet central point; When the circumference that sensor is formed is in least radius, its center of circle is positioned at target sheet central spot.
2. curve distribution formula shock wave bullet positioner according to claim 1, it is characterized in that: described sensor is three, and the intersection point that target sheet eight loop wire and the horizontal line through target sheet central point are formed equals target sheet central point to intermediate sensor (21) spacing to nearest side edge sensor (22) spacing.
3. curve distribution formula shock wave bullet positioner according to claim 2, it is characterized in that: the rectangular channel bar shape of described support (10) profile, its trough rim top, both sides and bottom land midline all offer the poroid accommodation hole of ladder for holding sensor; This device also comprises pad and is located at outside sensor to isolate the silica gel sheath (30) of accommodation hole and sensor, described silica gel sheath (30) profile is in the straight cylindrical structure with accommodation hole external shape fits, postpones downwards along its axis and be provided with for coordinating with the small-bore section of accommodation hole and the extension of clamping in silica gel sheath bottom.
4. the curve distribution formula shock wave bullet positioner according to claim 1 or 2 or 3, it is characterized in that: this device also comprises the shock wave focus lid (40) being attached at sensor sensing end end, the round lid-like that described shock wave focus lid (40) is silica gel material; The circle centre position of shock wave focus lid (40) is offered and is run through lid so that the through hole (41) that enters of shock wave; Shock wave focus lid (40) towards end face residing for shock wave approach axis be recessed cone bowl structure.
5. apply a point of impact localization method for curve distribution formula shock wave bullet positioner as claimed in claim 2, it is characterized in that comprising following steps:
Make three sensor present position points be respectively A, B, C from left to right, wherein the horizontal range of sensors A, C is L, and sensor B is positioned at A, C centre position as intermediate sensor; Short transverse sensor B distance A or C is h; With sensor B for the origin of coordinates, horizontal direction is X-axis, and vertical direction is Y-axis, sets up rectangular coordinate system, and shooting point represents with S, and now coordinate calculates and is divided into three kinds of situations:
1), bullet shooting the and first shock wave produced arrives sensors A
In above-mentioned situation, shooting point S is positioned at the second picture limit of coordinate system, and therefore x is negative value;
To shoot the distance of some S to sensors A for SA, the distance of shooting point S to sensor B is SB, and the distance of shooting point S to sensor C is SC; The time difference obtaining shock wave arrival sensors A and sensor B is t
1, then SB-SA=t
1* V, wherein V is the velocity of sound under Current Temperatures environment; In like manner, the time difference obtaining shock wave arrival sensors A and sensor C is t
2, SC-SA=t
2* V;
If SA=a, SB-SA=b, SC-SA=c, known AB
level=BC
level=L/2, makes vertical line along S point to X-axis, and this vertical line and AC line intersection point are F, are G, FG=AB with X-axis intersection point
highly=BC
highly=h, then:
For Δ SGB, by Pythagorean theorem, can establish an equation:
x
2+y
2＝(a+b)
2(1)
For Δ SFC, by Pythagorean theorem, can establish an equation
(y-h)
2+(L/2-x)
2＝(a+c)
2(2)
For Δ SFA, by Pythagorean theorem, can establish an equation
(y-h)
2+(L/2+x)
2＝a
2(3)
Set up equation group according to equation (1), (2), (3), solve and obtain x, y, a numerical value, obtain point of impact coordinate;
2), bullet shooting the and first shock wave produced arrives sensor B
In above-mentioned situation, shooting point S is positioned near coordinate system y-axis, and its X-coordinate can just can be born;
To shoot the distance of some S to sensors A for SA, the distance of shooting point S to sensor B is SB, and the distance of shooting point S to sensor C is SC; The time difference obtaining shock wave arrival sensor B and sensors A is t
1, then SA-SB=t
1* V; The time difference obtaining shock wave arrival sensor C and sensor B is t
2, SC-SB=t
2* V;
If SB=b, SA-SB=a, SC-SB=c, known AB
level=BC
level=L/2, makes vertical line along S point to X-axis, and this vertical line and AC line intersection point are F, are G, FG=AB with X-axis intersection point
highly=BC
highly=h, then:
For Δ SGB, can establish an equation:
x
2+y
2＝b
2(4)
For Δ SFC, can establish an equation
(y-h)
2+(L/2-x)
2＝(b+c)
2(5)
For Δ SFA, can establish an equation
(y-h)
2+(L/2+x)
2＝(b+a)
2(6)
Set up equation group according to equation (4), (5), (6), solve and obtain x, y, b numerical value, obtain point of impact coordinate;
3), bullet shooting the and first shock wave produced arrives sensor C
In above-mentioned situation, shooting point S is positioned at the first picture limit of coordinate system, and its X-coordinate is just;
To shoot the distance of some S to sensors A for SA, the distance of shooting point S to sensor B is SB, and the distance of shooting point S to sensor C is SC; The time difference obtaining shock wave arrival sensor C and sensors A is t
1, then SA-SC=t
1* V; The time difference obtaining shock wave arrival sensor B and sensor C is t
2, SB-SC=t
2* V;
If SC=c, SA-SC=a, SB-SC=b, known AB
level=BC
level=L/2, makes vertical line along S point to X-axis, and this vertical line and AC line intersection point are F, are G, FG=AB with X-axis intersection point
highly=BC
highly=h, then
For Δ SGB, can establish an equation:
x
2+y
2＝(c+b)
2(7)
For Δ SFC, can establish an equation
(y-h)
2+(L/2-x)
2＝c
2(8)
For Δ SFA, can establish an equation
(y-h)
2+(L/2+x)
2＝(c+a)
2(9)
Set up equation group according to equation (7), (8), (9), solve and obtain x, y, c numerical value, obtain point of impact coordinate.
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| CN114963881A (en) * | 2022-05-19 | 2022-08-30 | 中国人民解放军总参谋部第六十研究所 | Open type target scoring device for realizing omnidirectional incident positioning |
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| CN106597003A (en) * | 2016-11-30 | 2017-04-26 | 西北工业大学 | Method for measuring ultrasonic bullet flight track via shock waves |
| CN106595394A (en) * | 2016-11-30 | 2017-04-26 | 西北工业大学 | Method for measuring bomb impact point of supersonic projectile by using sonic boom |
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| CN106597003B (en) * | 2016-11-30 | 2019-05-10 | 西北工业大学 | A method of utilizing shock wave measurement supersonic projectile flight path |
| CN112162239A (en) * | 2020-09-14 | 2021-01-01 | 西北工业大学 | Horizontal gate type array-based impact point positioning method |
| CN112162239B (en) * | 2020-09-14 | 2023-12-22 | 西北工业大学 | Impact point positioning method based on horizontal gate array |
| CN112378295A (en) * | 2020-12-07 | 2021-02-19 | 济南大学 | double-T-shaped array shock wave projectile landing point positioning method |
| CN114963881A (en) * | 2022-05-19 | 2022-08-30 | 中国人民解放军总参谋部第六十研究所 | Open type target scoring device for realizing omnidirectional incident positioning |
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