CN103868476B - Photoelectric nondestructive testing-based tube inner hole straightness automatic test system and test method - Google Patents

Abstract

The invention discloses a photoelectric nondestructive testing-based tube inner hole straightness automatic test system and test method. The photoelectric nondestructive testing-based tube inner hole straightness automatic test system comprises a tube bracket, a laser transmitter (5), a photoelectric receiver (6), a sliding component and an industrial personal computer, wherein the laser transmitter (5) is arranged at the front end of a tested tube (4) through a mounting bracket A; the photoelectric receiver (6) is arranged on the sliding component via a mounting bracket B; the sliding component is arranged in a chamber of the tested tube (4); the laser transmitter (5) and the sliding component are connected with a control signal output end of the industrial personal computer; the photoelectric receiver (6) is connected with a collection signal input end of the industrial personal computer. According to the photoelectric nondestructive testing-based tube inner hole straightness automatic test system and test method, the detecting precision is high and the automation is better.

Description

Tube endoporus linearity automatic checkout system based on photoelectricity Non-Destructive Testing and detection Method

Technical field

The present invention relates to a kind of detecting system, more particularly to a kind of tube endoporus straight line based on photoelectricity Non-Destructive Testing Degree automatic checkout system and detection method.

Background technology

Endoporus linearity directly affects machining accuracy and the assembly precision of workpiece, at present, to tube endoporus linearity Detecting system mainly has:

1st, obtain People's Republic of China's china national practical new-type patent experimental compasses for internal linearity (applying date: 2004.6.30, publication date: 2005.6.15), its technical scheme is: it includes housing, measurement ring, long plug, hook and short stifled Head, measurement ring is arranged on housing, and long plug and short plug are separately mounted to the two ends of housing, and the two ends of housing are also respectively mounted There is hook.Foregoing invention creates the features such as have easy to operate, lightweight, easy to process, but, foregoing invention is created and is merely able to Qualitatively judge the endoporus linearity of tested tube it is impossible to access specific data message, therefore, foregoing invention is created more next The needs to tube endoporus Linearity surveying for the modern industry more can not be met.

2nd, in order to solve the above problems, a kind of noncontact endoporus obtaining People's Republic of China's china national practical new-type patent is straight Dimension measurement apparatus (applying date: 2013.03.28, the day for announcing: 2013.10.09), its technical scheme is: it includes light source, light Electric transducer gentle transportation by driving moving platform, the light that described light source sends is radiated on the photosurface of described photoelectric sensor, institute The photoelectric sensor stated is arranged on the center of described air supporting motion platform, and described air supporting motion platform is arranged on by center bearing bracket In the endoporus of measured piece, and can move in the endoporus of measured piece.Foregoing invention is created to be had simple to operate, and stability is strong etc. Advantage, but, foregoing invention is created certainty of measurement and is reduced, and in measurement process mistake, needs tester to adjust air supporting campaign manually The mobile stepping of platform, thus cause the inconsistent of mobile stepping it is impossible to the endoporus linearity of effective comprehensively tested tube Measure, meanwhile, test process needs tester's manual calibration, because manual operation has larger error, from And reduce the accuracy of test result.

Content of the invention

It is an object of the invention to overcoming the deficiencies in the prior art, provide the base that a kind of accuracy of detection is high, automatization is higher Tube endoporus linearity automatic checkout system and detection method in photoelectricity Non-Destructive Testing.

The purpose of the present invention is achieved through the following technical solutions: the tube endoporus based on photoelectricity Non-Destructive Testing is straight Dimension automatic checkout system, it includes:

Tube support: it includes fore-stock and after-poppet, for supporting tested tube；

Generating laser: for producing laser, provide required light source in detection process；

Photelectric receiver: for receiving by the laser beam of laser transmitter projects, and the optical signal receiving is converted into The signal of telecommunication；

Slide unit assembly: for the test position driving photelectric receiver arrival to specify；

Industrial computer: for controlling the moving step length of slide unit assembly, receive the signal of telecommunication received by photelectric receiver simultaneously, And data processing and storage are carried out to the signal of telecommunication receiving；

Generating laser is arranged on the front end of tested tube by mounting bracket a, and photelectric receiver passes through mounting bracket b Be arranged on slide unit assembly, slide unit assembly is arranged in the thorax of tested tube, generating laser and slide unit assembly respectively with work The control signal outfan of control machine is connected, and photelectric receiver is connected with the collection signal input part of industrial computer.

Described tube support includes fore-stock, after-poppet and the cross structure connecting fore-stock and after-poppet, front Nut a and nut b for adjusting fore-stock and after-poppet height is equipped with frame and after-poppet, fore-stock and after-poppet are respectively Tested tube is carried by rolling bearing, fore-stock is also equipped with position-limited rack.

Described slide unit assembly includes motor and push rod, and push rod is arranged on the output shaft of motor, and photoelectricity connects Receive device to be arranged on push rod by mounting bracket b, the control signal input of motor is connected with industrial computer.

Described photelectric receiver is Position-Sensitive Detector.

Keyboard that it also includes being connected with industrial computer signal input part, it is connected with industrial computer signal output part respectively Printer and display device.

Based on the tube endoporus linearity automatic testing method of photoelectricity Non-Destructive Testing, it comprises the following steps:

S1: tested tube is fixed on tube support；

S2: generating laser is connected with the control signal outfan of industrial computer respectively with motor, and sets up light Electric receptor and industrial computer gather the connection between signal input part；

S3: industrial computer controls motor to rotate, thus driving push rod to promote photelectric receiver to move by moving step length, makes The mobile detecting position to tested tube thorax of photelectric receiver；

S4: industrial computer controls laser transmitter projects laser, and the laser launched runs through in the thorax of tested tube, and beats Hit the surface in photelectric receiver；

S5: photelectric receiver receives by the optical signal of laser transmitter projects, carries out a/d conversion and filtering, and will connect The optical signal receiving is converted into the signal of telecommunication, is sent to industrial computer；

S6: industrial computer is processed to the signal of telecommunication receiving, and draws Linearity surveying data, and by its with preset Reference value contrasted, and generate Linearity surveying datagraphic, shown by display device.

It also includes preparation process before a detection between step s2 and s3, and before described detection, preparation process includes Following steps:

Ss21: adjust the height of fore-stock and after-poppet, make the geometric center of tested tube be aligned with generating laser；

Ss22: industrial computer controls motor to rotate, thus driving push rod to promote photelectric receiver to move by step-length, makes light The front-end and back-end that electric receptor is located at tested tube respectively are calibrated.

Compared with prior art, the method have the advantages that

1) industrial computer is adopted to control the mobile stepping of slide unit assembly, and then the shift position of control photelectric receiver, thus Improve the mobile accuracy of slide unit assembly, it is to avoid lead to the situation that light is forbidden because of tester's manual calibration, and then The endoporus of tested tube fully and effectively can be detected, and then be improve the accuracy of testing result；

2) generating laser and Position-Sensitive Detector are adopted, it is achieved thereby that noncontact and the inspection of photoelectricity lossless linearity Survey, further increase the accuracy of testing result；

3) fore-stock of tube bracing frame and after-poppet carry tested tube by rolling bearing respectively, thus ensureing In detection process, tested tube can flexible rotating, meanwhile, fore-stock is also equipped with position-limited rack, enhances tested Bonding strength between tube and tube, it is to avoid tested tube turning due to tube bracing frame in detection process The situation moved and drop；

4) adopt generating laser as light source, because the depth of parallelism of laser is good, thus further increasing detection process In accuracy；

5) the system is simple to operate, quick, greatly shorten detection time, and meanwhile, this system can also pass through industry control Machine realizes Linear Error, the figure shows of Linearity surveying data, the work(such as the storage of evaluation result and data query Energy.

Brief description

Fig. 1 is the structural representation of the present invention；

Fig. 2 is the fore-stock structural representation of the present invention；

Fig. 3 is the after-poppet structural representation of the present invention；

Fig. 4 is the operation principle block diagram of the present invention；

Fig. 5 is the axis verticality schematic diagram of the tested tube of calculating of the present invention；

Fig. 6 is that the axis verticality at the arbitrary section of tested tube of the present invention calculates schematic diagram；

Fig. 7 is that the first order of the present invention controls menu interface schematic diagram；

Fig. 8 is that the detection of the present invention prepares interface schematic diagram；

Fig. 9 is the tubulose analyte detection interface schematic diagram of the present invention；

In figure, 1- fore-stock, 2- after-poppet, 3- cross structure, the tested tube of 4-, 5- generating laser, 6- opto-electronic receiver Device, 7- motor, 8- push rod, 9- slideway, 10- workbench.11- nut a, 12- position-limited rack, 21- nut b.

Specific embodiment

Below in conjunction with the accompanying drawings technical scheme is described in further detail, but protection scope of the present invention is not limited to Described below.

As shown in Fig. 1,2,3 and 4, based on the tube endoporus linearity automatic checkout system of photoelectricity Non-Destructive Testing, it wraps Include:

Tube support: it includes fore-stock 1 and after-poppet 2, for supporting tested tube 4；

Generating laser 5: for producing laser, provide required light source in detection process；

Photelectric receiver 6: for receiving by the incident illumination of tested tube 4 endoporus reflection, and by the optical signal receiving It is converted into the signal of telecommunication；

Slide unit assembly: for the test position driving photelectric receiver 6 arrival to specify；

Industrial computer: for controlling the moving step length of slide unit assembly, simultaneously receive the telecommunications received by photelectric receiver 6 Number, and data processing and storage are carried out to the signal of telecommunication receiving；

Generating laser 5 is arranged on the front end of tested tube 4 by mounting bracket a, and photelectric receiver 6 passes through installation Frame b is arranged on slide unit assembly, and slide unit assembly is arranged in the thorax of tested tube 4, and generating laser 5 and slide unit assembly are respectively It is connected with the control signal outfan of industrial computer, photelectric receiver 6 is connected with the collection signal input part of industrial computer.

Currently preferred, described tube support includes fore-stock 1, after-poppet 2 and connects fore-stock 1 and rear Be equipped with the cross structure 3 of frame 2, fore-stock 1 and after-poppet 2 for the nut a11 that adjusts fore-stock 1 and after-poppet 2 height and Nut b21, fore-stock 1 and after-poppet 2 carry tested tube 4 by rolling bearing respectively, fore-stock 1 are also equipped with spacing Frame 12.

Currently preferred, described slide unit assembly includes motor 7 and push rod 8, and push rod 8 is arranged on motor 7 Output shaft on, photelectric receiver 6 is arranged on push rod 8 by mounting bracket b, the control signal input of motor 7 with Industrial computer is connected.

Currently preferred, described photelectric receiver 6 is Position-Sensitive Detector, such as psd position sensor.

Currently preferred, keyboard that it also includes being connected with industrial computer signal input part, respectively with industrial computer signal Printer and display device that outfan is connected.

As shown in Figure 1,2 and 3, in actual use, tube support is fixedly mounted on measurement workbench 10, Slideway 9 is fixedly mounted on measurement workbench 10 by slideway support c, and slide unit assembly is placed on slideway 9；Tested tube 4 are arranged on tube support, are fixed by the fore-stock 1 and after-poppet 2 of tube support, fore-stock 1 and after-poppet 2 It is respectively supported on the geometric center basal plane of tested tube 4, and tested tube 4 is carried by rolling bearing, thus ensureing Tested tube 4 in detection process can flexible rotating, meanwhile, position-limited rack 12 is also equipped with fore-stock 1, prevents Tested tube 4 drops in detection process；Generating laser 5 is arranged on measurement workbench 10 simultaneously by mounting bracket a Positioned at the front end of tested tube 4, photelectric receiver 6 is arranged on the push rod 8 of slide unit assembly by mounting bracket b, push rod 8 with The output shaft of motor 7 is connected, and slide unit assembly is placed in the thorax of tested tube 4.In detection process, motor 7 driving push rods 8 are moved, thus driving photelectric receiver 6 to move in the thorax of tested tube 4.

As shown in figure 4, generating laser 5 is connected with the control signal outfan of industrial computer with motor 7.In detection During, tester controls generating laser 5 to launch laser by industrial computer, and controls the moving step length of motor 7, leads to Cross the moving step length controlling motor 7 and then control photelectric receiver 6 to move in the thorax of tested tube 4, both ensure that The precision of moving step length, also ensure that in tested tube 4 thorax, each position can detect, improves the accurate of testing result Degree.

Based on the tube endoporus linearity automatic testing method of photoelectricity Non-Destructive Testing, it comprises the following steps:

S1: tested tube 4 is fixed on tube support；

S2: generating laser 5 is connected with the control signal outfan of industrial computer respectively with motor 7, and sets up Photelectric receiver 6 and industrial computer gather the connection between signal input part；

S3: industrial computer controls motor 7 to rotate, thus driving push rod 8 to promote photelectric receiver 6 to move by step-length, makes The mobile detecting position to tested tube 4 thorax of photelectric receiver 6；

S4: industrial computer controls generating laser 5 transmitting laser, and the laser launched runs through in the thorax of tested tube 4, and Hit on the surface of photelectric receiver 6；

S5: photelectric receiver 6 receives the optical signal launched by generating laser 5, carries out a/d conversion and filtering, and will The optical signal receiving is converted into the signal of telecommunication, is sent to industrial computer；

S6: industrial computer is processed to the signal of telecommunication receiving, and with reference to right with 5 transmission signals of generating laser Ratio carries out error evaluation to the endoporus linearity of tested tube 4, draws Linearity surveying data, and generates Linearity surveying Datagraphic, is shown by display device；And carry out being saved in industrial computer by data result, it is easy to the debugging institute of subsequent software With it is also possible to analysis result be carried out printing according to practical situation standby by printer.

Currently preferred, the described tube endoporus linearity automatic testing method based on photoelectricity Non-Destructive Testing, it Also include preparation process before a detection between step s2 and s3, before described detection, preparation process comprises the following steps:

Ss21: fore-stock 1 and the height of after-poppet 2 are adjusted respectively by nut a11 and nut b12, makes tested tube 4 Geometric center be aligned with generating laser 5；

Ss22: industrial computer controls motor 7 to rotate, thus driving push rod 8 to promote photelectric receiver 6 to move by step-length, The front-end and back-end that photelectric receiver 6 is located at tested tube 4 respectively are made to be calibrated, to guarantee the coordinate of photelectric receiver 6 Initial point in the geometric centre axes of tested tube 4 it is ensured that measurement accuracy.

The axis verticality of tested tube 4 calculates detailed process:

As it can be seen in figures 5 and 6, photelectric receiver 6 is aligned with the geometric center of tested tube 4, form geometric center point p ', The laser beam of generating laser 5 transmitting passes through geometric center point o of tested tube 4 front-end port₁Along z₁Axle is propagated, and hits In the photosurface of photelectric receiver 6, form incidence point p；By point p ', o₁O triangle with p₁Pp ', due to pp'＜ ＜ o₁P', So

$\mathrm{\β}\≈\arcsin \frac{p{p}^{\′}}{o_1{p}^{\′}}=\frac{d}{l}---\left(i\right)$

In formula: β is the angle of laser beam and datum axis in tested tube 4 thorax, when tested tube 4 does not have bending When, β is zero degree.

Tube bending is all from the beginning of under barrel not case of bending, and the reason bending according to tube, tube is curved Bent direction is to the right or to the left downwards.The actual axis that tube is bent regards a smooth camber line as it is assumed that this arc , in a plane, the point on this camber line under virtual condition may not on this plane, but this has no effect on linearity for line Value.The straight line being located when can not bend barrel regards the tangent line of smooth camber line during barrel bending as.Therefore, tested tubulose Axis verticality at the arbitrary section of thing 4 calculates schematic diagram as shown in fig. 6, at arbitrary section

p_ip_i'=o₁p_i' sin β ()

In formula: o₁p_i' launch laser spots away from photelectric receiver 6 for generating laser 5 at the arbitrary section of tested tube 4 The distance of geometric center, can obtain according to the distance of body movement.

Point p can be recorded using industrial computer_iCoordinate be (x_i,y_i), thenSo p_i' the coordinate at point is

$\left\{\begin{array}{c}{x}_i^{\′}=(p_i{p_i}^{\′}-d_i)\frac{x_i}{d_i}\\ y_i^{\′}=(p_i{p_i}^{\′}-d_i)\frac{y_i}{d_i}\end{array}\right.---\left(\mathrm{iii}\right)$

Formula () is substituted into formula (), obtains

$\left\{\begin{array}{c}{x}_i^{\′}=(o_1{p_i}^{\′}\sin \mathrm{\β}-d_i)\frac{x_i}{d_i}\\ y_i^{\′}=(o_1{p_i}^{\′}\sin \mathrm{\β}-d_i)\frac{y_i}{d_i}\end{array}\right.---\left(\mathrm{iv}\right)$

In the coordinate system of tube linearity definition, the discrete coordinates on the actual axis of barrel are the phase of formula (4) coordinate Counter count, then the axis verticality value at the arbitrary section of tested tube 4 is

p_i=o₁p_i'sinβ-d_i()

Axis verticality value at the arbitrary section of the tested tube 4 of measurement is made with reference value axis verticality Difference, gained difference is the linearity of tested tube 4.

The controlling interface of industrial computer includes two-step evolution menu, as shown in fig. 7, the first order controls menu mainly to include detecting Prepare control, tubulose analyte detection control and the control that logs off, click on detection preparation control and tubulose analyte detection control can enter Enter its corresponding second level and control menu interface, click on the control that logs off and exit controlling interface.

As shown in figure 8, shown detection prepares interface and mainly including moving to tested tube front port control, moving to Tested tube rear port control, move to detecting position control, stop motion control and open serial ports control；Before detection, detection Personnel move to tested tube front port control by click and move to tested tube rear port control, make opto-electronic receiver Device 6 is respectively moved to, at front port and the rear port of tested tube 4, be calibrated, former with the coordinate that guarantees photelectric receiver 6 Point on the datum axis of tested tube 4 it is ensured that measurement accuracy；Tester can be by moving to detecting position control Control photelectric receiver 6 mobile to detecting position.

As shown in figure 9, tester detects to tested tube, tester is not only by tubulose analyte detection interface Can be selected by the step-length that software sets in itself, thus controlling the moving step length of motor 7, and being capable of basis Concrete condition arranges the moving step length of motor 7, and by the moving step length of key-press input motor 7, thus realizing certainly Dynamicization detects, also ensure that the accuracy of detection it is adaptable to the endoporus Linearity surveying of any tube simultaneously；Tester's root Click on according to concrete detection case and start accordingly to detect control, stop detection control, return test starting point control, printed report control Part or return main menu control complete to operate accordingly, and can intuitively observe test result figure.Wherein xyz coordinate divides Not Biao Shi tube three axles, the curve in xyz coordinate is the axis straight line of the actual tested tube 4 measured Degree, its linearity with the difference as tested tube 4 of datum axis linearity.Xy coordinate graphic represents tested tube 4 The longest point of radius at oral area section, that is, the peak of tested tube 4 oral area.

Claims (4)

1. the tube endoporus linearity automatic checkout system based on photoelectricity Non-Destructive Testing it is characterised in that: it includes:

Tube support: it includes fore-stock (1) and after-poppet (2), for supporting tested tube (4)；

Generating laser (5): for producing laser, provide required light source in detection process；

Photelectric receiver (6): for receiving the laser beam launched by generating laser (5), and the optical signal receiving is changed Become the signal of telecommunication；

Slide unit assembly: for the test position driving photelectric receiver (6) arrival to specify；

Industrial computer: for controlling the moving step length of slide unit assembly, receive the signal of telecommunication received by photelectric receiver (6) simultaneously, And data processing and storage are carried out to the signal of telecommunication receiving；

Generating laser (5) is arranged on the front end of tested tube (4) by mounting bracket a, and photelectric receiver (6) passes through to install Support b is arranged on slide unit assembly, and slide unit assembly is arranged in the thorax of tested tube (4), generating laser (5) and slide unit group Part is connected with the control signal outfan of industrial computer respectively, the collection signal input part phase of photelectric receiver (6) and industrial computer Connect；Described tube support includes fore-stock (1), after-poppet (2) and the company connecting fore-stock (1) and after-poppet (2) Connect bridge (3), fore-stock (1) and after-poppet (2) are equipped with the nut a for adjusting fore-stock (1) and after-poppet (2) height (11) and nut b (21), fore-stock (1) and after-poppet (2) carry tested tube (4), fore-stock by rolling bearing respectively (1) it is also equipped with position-limited rack (12) on, the fore-stock (1) of tube bracing frame and after-poppet (2) are held by rolling bearing respectively Carry tested tube (4), thus ensure that in detection process, tested tube (4) can flexible rotating, meanwhile, fore-stock (1) it is also equipped with position-limited rack (12) on, enhance the bonding strength between tested tube (4) and tube bracing frame, it is to avoid The situation that tested tube (4) is dropped due to the rotation of tube bracing frame in detection process；Described slide unit assembly Including motor (7) and push rod (8), push rod (8) is arranged on the output shaft of motor (7), and photelectric receiver (6) passes through Mounting bracket b is arranged on push rod (8), and the control signal input of motor (7) is connected with industrial computer, using industrial computer Control the mobile stepping of slide unit assembly, and then the shift position of control photelectric receiver (6), thus improve the shifting of slide unit assembly Dynamic accuracy, it is to avoid lead to the situation that light is forbidden because of tester's manual calibration, and then can be to tested tube (4) Endoporus fully and effectively detected, and then improve the accuracy of testing result；

Industrial computer controls generating laser (5) transmitting laser, and the laser launched runs through in the thorax of tested tube (4), and beats Hit the surface in photelectric receiver (6)；Photelectric receiver (6) receives the optical signal launched by generating laser (5), carries out a/ D conversion and filtering, and the optical signal receiving is converted into the signal of telecommunication, it is sent to industrial computer；Industrial computer is to the telecommunications receiving Number processed, draw Linearity surveying data, and it is contrasted with reference value set in advance, and generated linearity inspection Survey datagraphic, shown by display device.

2. the tube endoporus linearity automatic checkout system based on photoelectricity Non-Destructive Testing according to claim 1, it is special Levy and be: described photelectric receiver (6) is Position-Sensitive Detector.

3. the tube endoporus linearity automatic checkout system based on photoelectricity Non-Destructive Testing according to claim 1, it is special Levy and be: keyboard that it also includes being connected with industrial computer signal input part, be connected with industrial computer signal output part respectively Printer and display device.

4. the tube endoporus linearity automatic testing method based on photoelectricity Non-Destructive Testing it is characterised in that: it includes following step Rapid:

S1: tested tube (4) is fixed on tube support；

S2: generating laser (5) is connected with the control signal outfan of industrial computer respectively with motor (7), and sets up Photelectric receiver (6) and industrial computer gather the connection between signal input part；

S3: industrial computer controls motor (7) to rotate, thus driving push rod (8) to promote photelectric receiver (6) to move by moving step length Dynamic, make the mobile detecting position to tested tube (4) thorax of photelectric receiver (6)；

S4: industrial computer controls generating laser (5) transmitting laser, and the laser launched runs through in the thorax of tested tube (4), and Hit the surface in photelectric receiver (6)；

S5: photelectric receiver (6) receives the optical signal launched by generating laser (5), carries out a/d conversion and filtering, and will The optical signal receiving is converted into the signal of telecommunication, is sent to industrial computer；

S6: industrial computer is processed to the signal of telecommunication receiving, and draws Linearity surveying data, and by it with base set in advance Quasi- value is contrasted, and generates Linearity surveying datagraphic, is shown by display device；

The detailed process that the axis verticality of tested tube calculates:

The axis verticality of tested tube (4) calculates detailed process: photelectric receiver (6) is several with tested tube (4) What center be aligned, forms geometric center point p', the laser beam that generating laser (5) is launched passes through tested tube (4) front end end Geometric center point o of mouth₁Along z₁Axle is propagated, and hits the photosurface in photelectric receiver (6), forms incidence point p；By point p', o₁ O triangle with p₁Pp', due to pp'＜ ＜ o₁P', so

$\mathrm{\β}\≈arcsin\frac{{\mathrm{pp}}^{\′}}{o_{1}p}=\frac{d}{l}---\left(1\right)$

In formula: β is the angle of laser beam and datum axis in tested tube (4) thorax, when tested tube (4) does not have bending When, β is zero degree；

At the arbitrary section of tested tube (4)

p_ip_i'=o₁p_i'sinβ (ⅱ)

In formula: o₁p_i' launch laser spots away from photelectric receiver for generating laser (5) at the arbitrary section of tested tube (4) (6) distance of geometric center；

Record point p using industrial computer_iCoordinate be (x_i,y_i), thenThen point p_i' place coordinate be

$\left\{\begin{array}{c}{x_i}^2=(p_i{p_i}^{\′}-d_i)\frac{x_i}{d_i}\\ {y_i}^2=(p_i{p_i}^{\′}-d_i)\frac{y_i}{d_i}\end{array}\right.---\left(iii\right)$

Formula is substituted into formula, obtains

$\left\{\begin{array}{c}{x_i}^{\′}=(o_1{p_i}^{\′}sin\mathrm{\β}-d_i)\frac{x_i}{d_i}\\ {y_i}^{\′}=(o_1{p_i}^{\′}\sin \mathrm{\β}-d_i)\frac{y_i}{d_i}\end{array}\right.---\left(iv\right)$

In the coordinate system of tube linearity definition, the discrete coordinates on the actual axis of barrel are the opposite number of formula coordinate, Then the axis verticality value at the arbitrary section of tested tube (4) is

p_i=o₁p_i'sinβ-d_i(ⅴ)

Axis verticality value at the arbitrary section of the tested tube (4) of measurement is made with reference value axis verticality Difference, gained difference is the linearity of tested tube (4)；

It also includes preparation process before a detection between step s2 and s3, before described detection preparation process include following Step:

Ss21: adjust the height of fore-stock (1) and after-poppet (2), make geometric center and the generating laser of tested tube (4) (5) it is aligned；

Ss22: industrial computer controls motor (7) to rotate, thus driving push rod (8) to promote photelectric receiver (6) to move by step-length Dynamic, so that the front-end and back-end that photelectric receiver (6) is located at tested tube (4) respectively is calibrated.