CN108036758A - One kind is suitable for the detection of aero-engine casing concentricity and method of adjustment - Google Patents

One kind is suitable for the detection of aero-engine casing concentricity and method of adjustment Download PDF

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Publication number
CN108036758A
CN108036758A CN201711143919.6A CN201711143919A CN108036758A CN 108036758 A CN108036758 A CN 108036758A CN 201711143919 A CN201711143919 A CN 201711143919A CN 108036758 A CN108036758 A CN 108036758A
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mrow
msub
mtd
mtr
casing
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CN108036758B (en
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金鑫
尚可
郭欢
张之敬
张秋爽
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Beijing Institute of Technology BIT
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Beijing Institute of Technology BIT
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/22—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring angles or tapers; for testing the alignment of axes
    • G01B21/24—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring angles or tapers; for testing the alignment of axes for testing alignment of axes

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Length Measuring Devices With Unspecified Measuring Means (AREA)
  • A Measuring Device Byusing Mechanical Method (AREA)

Abstract

The invention discloses a kind of method that concentricity suitable for aero-engine casing is detected and adjusted, and belongs to workmanship prediction and control field.This method first measures position coordinates of the casing each point relative to rotation of rotary table center, then by least square fitting and casing posture information is calculated, and is measured and adjusted the concentricity of each component on engine crankcase with this.Different from general axis of rotation mensuration, this method allows casing clamping to there is offset and tilt, it is only necessary to without departing from detectable limit, artificial accurate clamping and adjustment link are reduced or remitted with this, reduces the technical requirements to worker, improves efficiency.This method simplifies people's frock table, repeatedly dress table at the same time.This method is aided in implementation process by computer programming, reduces or remits the work such as artificial meter reading, record, calculating, reduces worker's workload, improves the degree of automation, lifts measurement efficiency.

Description

One kind is suitable for the detection of aero-engine casing concentricity and method of adjustment
Technical field
The present invention relates to a kind of method for detecting and adjusting suitable for aero-engine casing concentricity, belong to workmanship Prediction and control technology field.
Background technology
A large amount of research and production practice have shown that, aero-engine usually can cause engine because of concentricity is unqualified Quiet, rotor collision friction, so as to cause vibration, influences engine work.Therefore, coaxality measurement is normal for ensureing engine Work, improves engine reliability and is of great significance.
With reference to produce reality, in the link of volume production aero-engine assembling line, it is necessary to engine crankcase one end Bearing bracket stand carry out concentricity detection and adjustment, now using axis of rotation mensuration.The method of adjustment bearing bracket stand is first Measuring and adjusting makes casing bottom center be overlapped with pivot, then measuring and adjusting makes casing datum axis and turntable surface hang down Directly, finally measuring and adjusting makes bearing bracket stand coaxial with casing.
But there are many problems to need to solve for current methods, it is time-consuming long that its main problem is that manual measurement causes, and efficiency is low, Follow-up assembling is influenced, reduces production efficiency.Concentric and vertical step of the part relative to measuring circurmarotate is especially adjusted, to worker's skill Art level requirement is high, takes long.With fashionable dress table, meter reading, record, calculating is accomplished manually, and the degree of automation is low, take people arduously and Inefficiency.
The content of the invention
In view of this, the present invention provides a kind of concentricity detection suitable for aero-engine casing and method of adjustment, This method can solve the problems, such as that detection efficiency is low in the prior art, improve the adjustment of casing concentricity and Automatic survey degree And measurement efficiency.
A kind of concentricity detection and method of adjustment suitable for aero-engine casing, the detection and method of adjustment include with Lower step：
Step 1：Measure and gather position coordinate data of each measured point of casing relative to rotation of rotary table center；
Step 2：Position coordinate data is fitted by least square method and each part posture information of casing is calculated；
Step 3：Concentricity adjustment is carried out according to the part posture information of step 2.
Further, the measurement of position coordinate data and gatherer process are as follows in the step 1：
By casing clamping revolution test desk on, by the digital dial gauges of more than three (according to actual conditions difference, table Variable amounts, displacement sensor type are interchangeable) rotating table behind fixed position is installed on, when rotating to fixed angle (according to Actual conditions are different, and circle fitting can use 4 and above measurement angle, and ellipse fitting can use 5 and above measurement angle) record number The data of word amesdial；In a data acquisition, the number that multiple digital dial gauges gather in a plurality of directions is obtained According to.
Further, each part posture information of casing includes in the step 2：Kernel of section point is respectively measured on casing The posture information of coordinate information and fitting casing datum axis, by the position for judging each measured section central point and datum axis Relation is put, judges whether casing and each parts meet concentricity requirement, if conditions are not met, providing offset information.
Further, it is assumed that digital dial gauge is 4, and amesdial is directed at turntable center axis in the horizontal plane, and false Determine to record amesdial data when one-shot measurement intermediate station goes to this 6 angles of A, B, C, D, E, F.The height of 4 digital dial gauges Respectively Z1、Z2、Z3、Z4, the distance of gauge outfit to datum axis is respectively R when table decrement is not 0 during clamping casing1、R2、R3、 R4.By casing clamping on turntable, and when turntable is turned to E directions i.e. 240 ° direction, 4 table decrement R1E′、R2E′、 R3E′、R4E', other directions are similarly.4 tables amount in 6 directions and measure 24 decrement data.
Using rotary middle point on table with revolvable top as origin, A directions i.e. 0 ° direction is X-axis, and 90 ° of directions among B and C directions are Y-axis, center of rotation axis were that origin perpendicular to the axis of table with revolvable top is Z axis.After establishing XYZ coordinate system, according to known Z1、Z2、 Z3、Z4、R1、R2、R3、R4It is converted into 24 decrements measured and obtains the coordinate of 24 measured points in the coordinate system respectively Value, E4To coordinate system Z axis distance
R4E=R4+R′4E
E4X-coordinate value
X4E=R4E×cos 240°
E4Y-coordinate value
Y4E=R4E×sin 240°
E4Z coordinate value be Z4, E can be obtained4(X4E,Y4E,Z4), and other 23 measurement point coordinates are obtained in the same way.
, it is necessary to be fitted the profile in 4 sections respectively with least square method and obtain center seat after 24 point coordinates are obtained Mark, by taking the section 4 that table 4 is surveyed as an example, takes six measuring point A on the section4(X4A,Y4A,Z4)、B4(X4B,Y4B,Z4)、C4(X4C,Y4C, Z4)、D4(X4D,Y4D,Z4)、E4(X4E,Y4E,Z4)、F4(X4F,Y4F,Z4).Because 6 points on sustained height, so tested surface center Z Coordinate is Z4；Planar elliptical equation can be set
a4x2+b4xy+c4y2+d4x+e4y+f4=0
According to general least square method, a in elliptic equation can be obtained according to six point coordinates4、b4、c4、d4、e4、f4's Value, the kernel of section coordinate is obtained further according to formula
Centre coordinate T can be obtained4(X4,Y4,Z4), it can seek all measured section centre coordinate T with method1(X1,Y1,Z1)、T2(X2, Y2,Z2)、T3(X3,Y3,Z3)、T4(X4,Y4,Z4)；Then select at this 4 points to when casing datum axis is fitted, it is same to use Least square method.According to the design requirement of different engines, wherein 2 and more than 2 central points may be selected to be fitted reference axis Line, if 2 points of special instruction selection, it is straight line where 2 lines to calculate gained, if space line equation
If
Seek local derviation
Ask
Casing datum axis parametric equation coefficient can be obtained by solving equation, and can obtain at 4 points according to space distance between beeline and dot formula To air line distance r1、r2、r3、r4.Work as r1、r2、r3、r4It is respectively smaller than the half d of concentricity required value1、d2、d3、d4When, i.e., 4 points In concentricity minimally surrounded area, casing and its parts concentricity are met the requirements；
As a certain riMore than concentricity required value half when, i.e., the point is overseas in concentricity minimum tolerance area.Make Z=Zi Bring linear equation into and solve Points on Straight Line Qi(Xqi,Yqi,Zi), compare QiWith tested surface centre coordinate Ti(Xi,Yi,Zi), according to
Understand in Z=ZiHorizontal plane on, TiIn Qiθ directions on r0iPlace, so far, according to 24 table decrements through data Each measured section centre coordinate, casing datum axis equation are obtained after processing, so as to judge whether concentricity is qualified, and is not being conformed to The offset for assembling underproof tested part and offset direction are calculated during lattice.
Further, the process that part concentricity adjustment is carried out in the step 3 is as follows：
When casing concentricity is unsatisfactory for requiring, revolving-turret, makes table beat on the offset direction that data processed result is shown, While tested part is just adjusted upward herein using instrument, while the data variation of observation table；When decrement change is approximately equal to partially When moving direction, adjustment finishes；It is accurate to ensure to adjust result, it should remeasure after the adjustment once；According to actual conditions, sometimes When concentricity is unqualified and measured piece can not continue adjustment, casing should be ressembled.
Beneficial effect：
1) a kind of concentricity suitable for aero-engine casing disclosed by the invention detects and the method epitope of adjustment is put It is fixed, simplify people's frock table, repeatedly dress table.If being connected using digital dial gauge, and with computer, then people's part work and part study is eliminated Table, record, calculating, reduce operation, improve the degree of automation.
2) measuring method of the invention can obtain each parts posture information of assembly, greatly reduce clamping error to dress The influence of ligand concentricity detection.Clamping error refers to by casing clamping when on turntable herein, and datum axis and rotation axis are not Error caused by coincidence.Different from general axis of rotation mensuration, this method allows bottom center during clamping to deviate, it is not necessary to essence Really adjust casing bottom surface and turntable rotation axis concentric.This method allows casing datum axis during clamping to have larger inclination, is not required to Accurately to adjust casing datum axis and turntable plane perpendicular.This method only needs to deviate and tilt by frock clamping casing Without departing from detectable limit can (i.e. in measurement process, measurement table will not outrange), can so simplify or even skip each clamping The datum axis adjustment link of casing, reduces the technical requirements to worker, saves the time, improve efficiency.
3) this method epitope puts fixation, and data acquisition is accurate.This method is intended by using mathematical computations and least square method Close and ensure the accuracy of each measurement cross section profile fitting and the accuracy of datum axis fitting and kernel of section point and fitting The accuracy of linear space position relationship, can accurately provide concentricity and judge to refer to parts adjustment, ensure that measurement is smart Degree, reaches measurement purpose.
Brief description of the drawings
Fig. 1 is the detection device composition schematic diagram of the embodiment of the present invention.
Fig. 2 is the measuring principle front view of the present invention；
Fig. 3 is the measuring principle top view of the present invention；
Fig. 4 is that tested casing kernel of section point and fitting datum axis spatial relationship meet the requirements schematic diagram；
Fig. 5 is that tested casing kernel of section point and fitting datum axis spatial relationship are unsatisfactory for requiring schematic diagram.
Wherein, 1- turntables, 2- fixtures, 3- are tested the horizontal dial framework of casing, 4-, 5- reinforces gauge outfit, 6- digital dial gauges, 7- are slided Block, 8- slides, 9- is adjustable horizontal dial framework, 10- positioning disks, 11- upper bushes, 12- erect dial framework, 13- lower sleeves, 14- columns, 15- and return Turn test desk.
Embodiment
The present invention will now be described in detail with reference to the accompanying drawings and examples.
Detected the present invention provides a kind of concentricity suitable for aero-engine casing and the method for adjustment is returned with general Shaft axis mensuration is different, and general revolution measurement first passes through measurement and adjustment ensures casing datum axis and turntable Pivot axle Line overlaps, then judges whether each element coaxial degree of engine crankcase is qualified by measuring part and beating and carry out data processing.And This method is that coordinate system is first established on turntable, and measurement obtains coordinate of each measured point of casing in this coordinate system, then by most Small square law the Fitting Calculation obtains casing profile and posture information, to achieve the purpose that measurement and adjustment concentricity.And obtain each Point coordinates needs the table in each measurement all in fixed position, so can be brought directly to amesdial in fitting and calculating Coordinate and table decrement.In order to realize detection, it can ensure the positioning accuracy of table with a set of mechanical device.It is embodied for description Mode, the present invention provide a kind of feasible but not exclusive mechanical device model.At the same time in order to embody the degree of automation of this method, The method being connected using digital dial gauge and optoelectronic switch with computer realizes the work such as gathered data, processing data, display result. DAQ data collection task case, gui interface and other correlation module of this computer programming based on MATLAB.
Mechanical device such as Fig. 1 that this method provides, column 14 is installed on revolution test desk 15, by digital dial gauge 6 On dial framework, perpendicular dial framework 12 is connected with column 14 by bearing and upper bush 11, lower sleeve 13, erects dial framework 12 by upper Sleeve 11 and lower sleeve 13 are rotated around column 14, and column top is connected one with straight pin and screw and is furnished with determining for a circle hole Position disk 10.It can make itself and 11 positioning and locking of upper bush during measurement with self-locking spring index pin, clamping, when removing casing 3, can pull out Expense, removing dial framework prevents damage gauge outfit.And fastened between the horizontal dial framework 4 and perpendicular dial framework 12 of dial framework with gland and screw, it is middle Holes is the housing screw hole of adjustment, finely tunes the position of table inside junction with gasket, ensures that reinforcing gauge outfit 5 is directed at turntable rotation Turn center；The top of perpendicular dial framework is installed by adjustable horizontal dial framework 9, the front end installation slide 8 of adjustable horizontal dial framework 9, sliding block 7 and slide 8 Fixed with merging,.Available standards part carries out being strict with installation to adjust the position of table before measuring apparatus comes into operation.Except this Outside, U-type groove optoelectronic switch is installed near turntable, six catch is fixed at 15 edge of revolution test desk and indicates angle, use To make the decrement of each digital dial gauge in this position of computer record in special angle triggering optoelectronic switch.
It is at the same time the least square fitting process during analogue measurement, now provides one group of analogue measurement data, contain The coordinate array after three coordinates is changed into by 24 table decrements.The preparation method of this group of data is first to set a space line
And four points are taken as measured section center, respectively with the different oval or circle of 44 shape poses of strokes and dots, 24 point coordinates such as table 1 in 4 sections is taken in 0 °, 60 °, 120 °, 180 °, 240 °, 300 ° of six directions again.
Table 1 is tested point coordinates
This method is specially：
Step 1, casing clamping and preparation：
Positioning pin is unclamped, dial framework is rotated and removes digital dial gauge, then by casing clamping on the frock clamp on turntable, then Table is moved to fixed position by secondary rotation dial framework, gauge outfit is beaten on casing tested surface and has certain decrement, locking positioning pin Dial framework is set to be connected with column, last operation computer program prepares measurement.
Step 2, data acquisition and data storage：
The catch that 6 are indicated angle on turntable edge stretches out certain distance, ensures that catch can hide in turntable rotary course Firmly U-type groove optoelectronic switch is to penetrating light.Data acquisition starts, rotating table, and 6 catch pass sequentially through U-shaped in rotation process Groove triggers optoelectronic switch, and optoelectronic switch sends 6 on-off models and is converted into digital quantity with data collecting card altogether to be connect by computer Receive, MATLAB programs read and read immediately after receiving signal records the gauge outfit pressure that 4 digital dial gauges at this time are transmitted to computer Contracting amount data.4 digital dial gauges, 6 triggering optoelectronic switches, are always obtained 24 jerk values, and are deposited with Excel forms Storage.
As shown in Figures 2 and 3, wherein OO ' is turntable rotation centerline, O2O2' it is casing datum axis.Left side is black in figure Point is gauge outfit position when table decrement is 0, and right side stain is gauge outfit position when having certain decrement after clamping casing, i.e. machine Measured point on casket.Table is highly Z1、Z2、Z3、Z4, the distance of gauge outfit to OO ' are respectively when table decrement is not 0 during clamping casing R1、R2、R3、R4, table decrement R when going to E directions i.e. 240 ° direction1E′、R2E′、R3E′、R4E′.Rotating table, when turntable is gone to (different according to actual conditions, circle fitting can use 4 and above measurement angle, ellipse at 0 °, 60 °, 120 °, 180 °, 240 °, 300 ° Circle fitting can use 5 and above measurement angle) four table decrements at this time are recorded respectively.Because turntable rotation centerline is fixed, table Position is fixed, so Z1、Z2、Z3、Z4And R1、R2、R3、R4It is fixed and known.In a data acquisition, it is obtained Four tables totally 24 table decrement data (quantity of decrement data bulk=table × measurement angle quantity) on six direction.
Step 3, data processing and the results show：
The purpose of data processing is to calculate the coordinate and fitting casing benchmark of each parts measurement kernel of section point in casing Axes O2O2' pose, and by judging each central point and casing datum axis O2O2' position relationship, come judge casing and Whether each parts meet concentricity requirement, if conditions are not met, providing offset information.
Need to establish XYZ coordinate system before carrying out data processing, the coordinate system is using pivot on turntable as origin, Z axis edge Turntable pivot OO ' directions are upward, and X-axis can obtain Y direction along A directions i.e. 0 ° direction according to right-handed coordinate system feature.
After establishing coordinate system, according to known Z1、Z2、Z3、Z4、R11、R12、R13、R14With the 24 decrements conversion measured To obtain the coordinate value of 24 measured points in the coordinate system, 24 point coordinates values such as table 1 respectively.
After 24 point coordinates are obtained, need in next step during the profile for being fitted 4 sections respectively with least square method obtains Heart coordinate T1(0.24000,0.620,40)、T2(0.280,0.740,80)、T3(0.600,1.700400)、T4(0.800, 2.300,600)。
After obtaining 4 kernel of section coordinates, to as casing datum axis O2O2' be fitted, equally using least square Method.Try to achieve space line equation
Casing datum axis parametric equation can be obtained by solving equation.It can obtain at 4 points to directly according to space distance between beeline and dot formula Linear distance r1=0.0000107, r2=0.0000063, r3=0.0000258, r4=0.0000166.r1、r2、r3、r4Respectively less than Each tested surface concentricity required value d1=0.02, d2=0.15, d3=0.03, d4=0.02 half is (in order to embody the spirit of measurement Activity, different tested surfaces set different concentricity requirements.), casing and its parts concentricity are met the requirements, the results show As shown in Figure 4.
When casing and its parts concentricity are met the requirements, measurement terminates.When being unsatisfactory for, such as shown in Fig. 5, then into Enter next step to be adjusted.Wherein the coordinate data of Fig. 5 be on the basis of the coordinate data used in Fig. 4, it is soft using computer Part MATLAB is got plus the random number of one -0.05 to 0.05 respectively to the X and Y value of 24 each coordinates of coordinate, is used for Simulate casing assembling or mismachining tolerance in actual production.
Step 4, real-time display and adjustment part：
If concentricity requirement is unsatisfactory for, as shown in figure 5, each kernel of section point that computer can be calculated according to previous step With fitting datum axis spatial relationship, show that this does not conform to distance and deflection angle of the lattice point relative to straight line, in this, as adjustment The reference of the part such as casing and its inner shaft bolster, bearing.According to the offset direction of Computer display, revolving-turret, makes measurement Table is beaten on the offset direction for needing to adjust part, such as 304 ° of this example middle section 3, while micro- along offset direction with instrument Adjust, while decrement change on observation digital dial gauge display screen, when decrement changes the offset for reaching computer and providing：
Δ r=0.0121-0.010=0.0021mm
This time adjustment finishes., at this time should be since step 2 again to ensure that adjustment rear housing and its inner body are coaxial Measurement, so circulation show " qualification " until certain step 3 Computer, and measurement at this time terminates.
In conclusion the foregoing is merely a prefered embodiment of the invention, it is not intended to limit the scope of the present invention. Within the spirit and principles of the invention, any modification, equivalent replacement, improvement and so on, should be included in the present invention's Within protection domain.

Claims (5)

  1. It is 1. a kind of suitable for the concentricity detection of aero-engine casing and method of adjustment, it is characterised in that the detection and adjustment Method comprises the following steps：
    Step 1：Measure and gather position coordinate data of each measured point of casing relative to rotation of rotary table center；
    Step 2：Position coordinate data is fitted by least square method and each part posture information of casing is calculated；
    Step 3：Concentricity adjustment is carried out according to the part posture information of step 2.
  2. 2. as claimed in claim 1 suitable for the concentricity detection of aero-engine casing and method of adjustment, it is characterised in that The measurement of position coordinate data and gatherer process are as follows in the step 1：
    By casing clamping on revolution test desk, by the digital dial gauge of more than three behind the fixed position rotating table, The data of digital dial gauge are recorded when rotating to fixed angle；In a data acquisition, multiple digital thousand are obtained The data for dividing table to gather in a plurality of directions.
  3. 3. as claimed in claim 1 suitable for the concentricity detection of aero-engine casing and method of adjustment, it is characterised in that Each part posture information of casing includes in the step 2：The coordinate information and fitting casing of kernel of section point are respectively measured on casing The posture information of datum axis, by judging the position relationship of each measured section central point and datum axis, judge casing and Whether each parts meet concentricity requirement, if conditions are not met, providing offset information.
  4. 4. as claimed in claim 2 suitable for the concentricity detection of aero-engine casing and method of adjustment, it is characterised in that It is assumed that digital dial gauge is 4, amesdial is directed at turntable center axis in the horizontal plane, and assumes that one-shot measurement intermediate station turns To record amesdial data during this 6 angles of A, B, C, D, E, F.The height of 4 digital dial gauges is respectively Z1、Z2、Z3、Z4, no The distance of gauge outfit to datum axis is respectively R when table decrement is 0 during clamping casing1、R2、R3、R4.By casing clamping in turntable On, and when turntable is turned to E directions i.e. 240 ° direction, 4 table decrements are respectively R1E′、R2E′、R3E′、R4E', other directions Similarly.4 tables amount in 6 directions and measure 24 decrement data.
    Using rotary middle point on table with revolvable top as origin, A directions i.e. 0 ° direction is X-axis, and 90 ° of directions among B and C directions are Y-axis, Center of rotation axis was that origin perpendicular to the axis of table with revolvable top is Z axis.After establishing XYZ coordinate system, according to known Z1、Z2、Z3、 Z4、R1、R2、R3、R4It is converted into 24 decrements measured and obtains the coordinate value of 24 measured points in the coordinate system, E respectively4 To coordinate system Z axis distance
    R4E=R4+R′4E
    E4X-coordinate value
    X4E=R4E×cos240°
    E4Y-coordinate value
    Y4E=R4E×sin240°
    E4Z coordinate value be Z4, E can be obtained4(X4E, Y4E, Z4), and other 23 measurement point coordinates are obtained in the same way；
    , it is necessary to be fitted the profile in 4 sections respectively with least square method and obtain centre coordinate after 24 point coordinates are obtained, with Exemplified by the section 4 that table 4 is surveyed, six measuring point A on the section are taken4(X4A, Y4A, Z4)、B4(X4B, Y4B, Z4)、C4(X4C, Y4C, Z4)、 D4(X4D, Y4D, Z4)、E4(X4E, Y4E, Z4)、F4(X4F, Y4F, Z4)；Because 6 points on sustained height, so tested surface center Z coordinate It is Z4；Planar elliptical equation can be set
    a4x2+b4xy+c4y2+d4x+e4y+f4=0
    According to general least square method, α in elliptic equation can be obtained according to six point coordinates4、b4、c4、d4、e4、f4Value, then The kernel of section coordinate is obtained according to formula
    <mrow> <msub> <mi>X</mi> <mn>4</mn> </msub> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>c</mi> <mn>4</mn> </msub> <msub> <mi>d</mi> <mn>4</mn> </msub> <mo>-</mo> <msub> <mi>b</mi> <mn>4</mn> </msub> <msub> <mi>e</mi> <mn>4</mn> </msub> </mrow> <mrow> <msup> <msub> <mi>b</mi> <mn>4</mn> </msub> <mn>2</mn> </msup> <mo>-</mo> <mn>4</mn> <msub> <mi>a</mi> <mn>4</mn> </msub> <msub> <mi>c</mi> <mn>4</mn> </msub> </mrow> </mfrac> </mrow>
    <mrow> <msub> <mi>Y</mi> <mn>4</mn> </msub> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>a</mi> <mn>4</mn> </msub> <msub> <mi>e</mi> <mn>4</mn> </msub> <mo>-</mo> <msub> <mi>b</mi> <mn>4</mn> </msub> <msub> <mi>d</mi> <mn>4</mn> </msub> </mrow> <mrow> <msup> <msub> <mi>b</mi> <mn>4</mn> </msub> <mn>2</mn> </msup> <mo>-</mo> <mn>4</mn> <msub> <mi>a</mi> <mn>4</mn> </msub> <msub> <mi>c</mi> <mn>4</mn> </msub> </mrow> </mfrac> </mrow>
    Centre coordinate T can be obtained4(X4, Y4, Z4), it can seek all measured section centre coordinate T with method1(X1, Y1, Z1)、T2(X2, Y2, Z2)、T3(X3, Y3, Z3)、T4(X4, Y4, Z4)；Then select at this 4 points to when casing datum axis is fitted, same use is most Small square law, according to the design requirement of different engines, may be selected wherein 2 and more than 2 central points to be fitted datum axis, It is straight line where 2 lines to calculate gained, if space line equation
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mi>X</mi> <mo>=</mo> <mi>a</mi> <mi>Z</mi> <mo>+</mo> <mi>b</mi> </mtd> </mtr> <mtr> <mtd> <mi>Y</mi> <mo>=</mo> <mi>c</mi> <mi>Z</mi> <mo>+</mo> <mi>d</mi> </mtd> </mtr> <mtr> <mtd> <mi>Z</mi> <mo>=</mo> <mi>Z</mi> </mtd> </mtr> </mtable> </mfenced>
    If
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>f</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>4</mn> </munderover> <msup> <mrow> <mo>(</mo> <msub> <mi>aZ</mi> <mi>i</mi> </msub> <mo>+</mo> <mi>b</mi> <mo>-</mo> <msub> <mi>X</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>f</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mi>c</mi> <mo>,</mo> <mi>d</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>4</mn> </munderover> <msup> <mrow> <mo>(</mo> <msub> <mi>cZ</mi> <mi>i</mi> </msub> <mo>+</mo> <mi>d</mi> <mo>-</mo> <msub> <mi>Y</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Seek local derviation
    <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>f</mi> <mn>1</mn> </msub> </mrow> <mrow> <mo>&amp;part;</mo> <mi>a</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>f</mi> <mn>1</mn> </msub> </mrow> <mrow> <mo>&amp;part;</mo> <mi>b</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>f</mi> <mn>2</mn> </msub> </mrow> <mrow> <mo>&amp;part;</mo> <mi>c</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>f</mi> <mn>2</mn> </msub> </mrow> <mrow> <mo>&amp;part;</mo> <mi>d</mi> </mrow> </mfrac> <mo>=</mo> <mn>0</mn> </mrow>
    Ask
    <mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mi>a</mi> </mtd> <mtd> <mi>b</mi> </mtd> </mtr> <mtr> <mtd> <mi>c</mi> </mtd> <mtd> <mi>d</mi> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>4</mn> </munderover> <msup> <msub> <mi>Z</mi> <mi>i</mi> </msub> <mn>2</mn> </msup> </mrow> </mtd> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>4</mn> </munderover> <msub> <mi>Z</mi> <mi>i</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>4</mn> </munderover> <msub> <mi>Z</mi> <mi>i</mi> </msub> </mrow> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>4</mn> </munderover> <msub> <mi>Z</mi> <mi>i</mi> </msub> <msub> <mi>X</mi> <mi>i</mi> </msub> </mrow> </mtd> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>4</mn> </munderover> <msub> <mi>X</mi> <mi>i</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>4</mn> </munderover> <msub> <mi>Z</mi> <mi>i</mi> </msub> <msub> <mi>Y</mi> <mi>i</mi> </msub> </mrow> </mtd> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>4</mn> </munderover> <msub> <mi>Y</mi> <mi>i</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
    Casing datum axis parametric equation coefficient can be obtained by solving equation, and can obtain at 4 points to directly according to space distance between beeline and dot formula Linear distance r1、r2、r3、r4, work as r1、r2、r3、r4It is respectively smaller than the half d of concentricity required value1、d2、d3、d4When, i.e., 4 points same In axis degree minimally surrounded area, casing and its parts concentricity are met the requirements；
    As a certain riMore than concentricity required value half when, i.e., the point is overseas in concentricity minimum tolerance area.Make Z=ZiBring into Linear equation solves Points on Straight Line Qi(Xqi,Yqi,Zi), compare QiWith tested surface centre coordinate Ti(Xi,Yi,Zi), according to
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>&amp;Delta;</mi> <mi>X</mi> <mo>=</mo> <msub> <mi>X</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>X</mi> <mrow> <mi>q</mi> <mi>i</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>&amp;Delta;</mi> <mi>Y</mi> <mo>=</mo> <msub> <mi>Y</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>Y</mi> <mrow> <mi>q</mi> <mi>i</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>r</mi> <mrow> <mn>0</mn> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msqrt> <mrow> <msup> <mi>&amp;Delta;X</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <mi>&amp;Delta;Y</mi> <mn>2</mn> </msup> </mrow> </msqrt> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>&amp;theta;</mi> <mo>=</mo> <msup> <mi>tan</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mfrac> <mrow> <mi>&amp;Delta;</mi> <mi>Y</mi> </mrow> <mrow> <mi>&amp;Delta;</mi> <mi>X</mi> </mrow> </mfrac> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Understand in Z=ZiHorizontal plane on, TiIn Qiθ directions on rOiPlace, so far, according to 24 table decrements through data processing After obtain each measured section centre coordinate, casing datum axis equation, so as to judge whether concentricity qualified, and when unqualified Calculate the offset for assembling underproof tested part and offset direction.
  5. 5. as claimed in claim 1 suitable for the concentricity detection of aero-engine casing and method of adjustment, it is characterised in that The process that part concentricity adjustment is carried out in the step 3 is as follows：
    When casing concentricity is unsatisfactory for requiring, revolving-turret, makes table beat on the offset direction that data processed result is shown, on one side Tested part is just adjusted upward herein using instrument, while the data variation of observation table；When decrement change is approximately equal to offset side Xiang Shi, adjustment finish；It is accurate to ensure to adjust result, it should remeasure after the adjustment once；According to actual conditions, sometimes coaxially When adjustment can not be continued by spending unqualified and measured piece, casing should be ressembled.
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CN109029220A (en) * 2018-09-20 2018-12-18 北京铂阳顶荣光伏科技有限公司 Coaxality measuring mechanism
CN109262008A (en) * 2018-10-22 2019-01-25 中国航空工业集团公司洛阳电光设备研究所 A kind of concentricity Precision Machining ensuring method of long overhanging Combined machining class part
CN110181077A (en) * 2019-07-05 2019-08-30 钟祥新宇机电制造股份有限公司 A kind of simple clamping fixture for correcting of motor casing class blank
CN111060063A (en) * 2020-01-02 2020-04-24 北京航空航天大学 Automatic positioning and aligning device and method for rotary barrel parts of cartridge receiver
CN111076658A (en) * 2020-01-02 2020-04-28 北京航空航天大学 Non-contact type positioning and aligning device and method for casing revolving body part with coating layer
CN111644901A (en) * 2020-04-09 2020-09-11 武汉船用机械有限责任公司 Method and device for correcting machining axis of workpiece
CN111895893A (en) * 2020-07-15 2020-11-06 华志微创医疗科技（北京）有限公司 Visual detection system, method and device capable of rapidly judging coaxiality
CN112747672A (en) * 2020-12-14 2021-05-04 北京动力机械研究所 Spatial pose detection and adjustment method for engine case assembly
CN113001165A (en) * 2021-04-01 2021-06-22 中国工程物理研究院机械制造工艺研究所 Automatic assembling device and method for small-clearance fit shaft hole
CN113043010A (en) * 2021-04-01 2021-06-29 中国工程物理研究院机械制造工艺研究所 Automatic assembling device and method for shaft hole with large length-diameter ratio
CN113199237A (en) * 2021-04-21 2021-08-03 中国航发贵州黎阳航空动力有限公司 Method for assembling low-pressure turbine guider of aircraft engine and coaxiality auxiliary control device
CN113390384A (en) * 2021-06-10 2021-09-14 湖南志成堂机电有限公司 Wind wheel concentricity on-line detection adjusting device
CN114077223A (en) * 2021-11-12 2022-02-22 中国航发沈阳黎明航空发动机有限责任公司 Automatic measurement compensation machining method for complex turning profile of cartridge receiver
CN114088046A (en) * 2021-11-15 2022-02-25 北京航空航天大学 Aeroengine detection device
CN114264270A (en) * 2021-12-26 2022-04-01 中国电子科技集团公司第十四研究所 High-precision measurement method for coaxiality of large-span split structure
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CN115096244A (en) * 2022-06-14 2022-09-23 哈尔滨工业大学 Coaxiality measuring method for high-speed rotating equipment with inertia shaft as rotating shaft
CN115112082A (en) * 2022-06-30 2022-09-27 哈尔滨工业大学 Coaxiality measuring device and method based on digital twinning technology
CN116718098A (en) * 2023-08-09 2023-09-08 成都国营锦江机器厂 Online measurement device for coaxiality of main stay bar of helicopter and application method
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